{"id":244,"date":"2016-12-22T19:48:53","date_gmt":"2016-12-22T19:48:53","guid":{"rendered":"http:\/\/rentabilitet.dk\/opgaver\/?page_id=244"},"modified":"2016-12-22T19:48:53","modified_gmt":"2016-12-22T19:48:53","slug":"integralregning","status":"publish","type":"page","link":"https:\/\/rentabilitet.dk\/opgaver\/matematik\/integralregning\/","title":{"rendered":"Integralregning"},"content":{"rendered":"<html xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:default=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n<style>\n.docxpressoPlugin {\n\tfont-size: 83.35%;\n}\n\n.h5p_layout {\n    box-sizing: content-box !important;\n}\n\n.h5p_layout *{\n    float: none;\n    text-align: initial;\n\tbox-sizing: border-box;\n}\n\/*to make sure that floating elements are always inside the document bounds*\/\n.h5p_layout:after {\n    content: \" \";\n    display: block;\n    height: 0;\n    clear: both;\n    visibility: hidden;\n}\n\/* a default layout for documents without maste styles 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MJXc-TeX-math-I,MJXc-TeX-math-Ix,MJXc-TeX-math-Iw}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .MJXc-TeX-size1-R {font-family: MJXc-TeX-size1-R,MJXc-TeX-size1-Rw}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .MJXc-TeX-size2-R {font-family: MJXc-TeX-size2-R,MJXc-TeX-size2-Rw}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .MJXc-TeX-size3-R {font-family: MJXc-TeX-size3-R,MJXc-TeX-size3-Rw}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .MJXc-TeX-size4-R {font-family: MJXc-TeX-size4-R,MJXc-TeX-size4-Rw}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .mjx-sub span.mjx-char {font-size: 70.7%}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .mjx-sup span.mjx-char {font-size: 70.7%}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .mjx-under span.mjx-char {font-size: 70.7%}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .mjx-over span.mjx-char {font-size: 70.7%}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .mjx-root span.mjx-char {font-size: 70.7%;}\n div#h5p_6a805115addfd  section.h5p_page p span.doxMathFormula .mjx-root {font-size: auto !important ; width: 0.5em !important; vertical-align: 1.2em !important}\n<\/style><script src=\"https:\/\/cdn.mathjax.org\/mathjax\/2.6-latest\/MathJax.js?config=MML_CHTML\" type=\"text\/javascript\"> <\/script>\n<div id=\"h5p_6a805115addfd\"><section xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"section_0\" class=\"h5p_layout h5p_page h5p_page_PL0\"><div class=\"PL0\"><p class=\"P1\"><span id=\"_GoBack\"\/><\/p><div style=\"left: 0;height: 750.80016pt;width: 578.90016pt;\" class=\"a14\"><div style=\"left: 0;height: 750.80016pt;position: absolute;width: 578.90016pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 10.42778in;width: 8.04028in;margin-left: 0.0125in;margin-top: 0in;\" class=\"a1\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a1\" height=\"10.42778in\" width=\"8.04028in\" viewBox=\"0 0 772 1001\"><g><path d=\"M 0 0 L 772 0 772 1001 0 1001 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 10.42778in;width: 5.88339in;margin-left: 2.16939in;margin-top: 0in;\" class=\"a2\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a2\" height=\"10.42778in\" width=\"5.88339in\" viewBox=\"0 0 565 1001\"><g><path d=\"M 0 0 L 565 0 565 1001 0 1001 Z\"\/><\/g><\/svg><p class=\"Ingenafstand\"><span class=\"T6\">Integralregning<\/span><\/p><p class=\"P7\">&nbsp;<\/p><p class=\"P8\">&nbsp;<\/p><p class=\"Ingenafstand\"><span class=\"T9\">&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&nbsp;&#x200b;&#x200b;&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P10\">&nbsp;<\/p><\/div><div style=\"left: 0;height: 453.978pt;position: absolute;width: 78.12288pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 4.19957in;\" class=\"a3\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a3\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 3.14672in;\" class=\"a4\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a4\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 3.14672in;\" class=\"a5\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a5\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 2.09388in;\" class=\"a6\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a6\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 0in;margin-top: 4.19957in;\" class=\"a7\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a7\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 1.05284in;width: 1.08504in;margin-left: 1.08504in;margin-top: 5.25241in;\" class=\"a8\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a8\" height=\"1.05284in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 1.05354in;width: 1.08504in;margin-left: 1.64457in;margin-top: 0in;\" class=\"a9\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a9\" height=\"1.05354in\" width=\"1.08504in\" viewBox=\"0 0 104 101\"><g><path d=\"M 0 0 L 104 0 104 101 0 101 Z\"\/><\/g><\/svg><p class=\"P11\">&nbsp;<\/p><\/div><\/div><div style=\"left: 0;height: 736.11216pt;position: absolute;width: 354.88296pt;\" class=\"\"><div style=\"left: 0;height: 736.11144pt;position: absolute;width: 19.53pt;\" class=\"\"><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.29592in;margin-top: 9.95816in;\" class=\"a10\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a10\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.29592in;margin-top: 9.69642in;\" class=\"a11\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a11\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><div style=\"position: absolute; float: none !important;height: 0.26561in;width: 0.27125in;margin-left: 7.56717in;margin-top: 9.69642in;\" class=\"a12\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a12\" height=\"0.26561in\" width=\"0.27125in\" viewBox=\"0 0 26 25\"><g><path d=\"M 0 0 L 26 0 26 25 0 25 Z\"\/><\/g><\/svg><\/div><\/div><div style=\"position: absolute; float: none !important;height: 0.95896in;width: 4.92893in;margin-left: 2.17136in;margin-top: 9.26482in;\" class=\"a13\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a13\" height=\"0.95896in\" width=\"4.92893in\" viewBox=\"0 0 473 92\"><g><path d=\"M 0 0 L 473 0 473 92 0 92 Z\"\/><\/g><\/svg><p class=\"P12\"><span class=\"T13\">Frederik Hovmark Pedersen<\/span><\/p><p class=\"P14\">&nbsp;<\/p><p class=\"P15\">&nbsp;<\/p><\/div><\/div><\/div><p class=\"Normal\"\/><div style=\"position: relative; float: none !important;height: 0.28403in;width: 0.26042in;margin-left: 6.51714in;margin-top: 8.52978in;\" class=\"a15\"><svg style=\"position: absolute; top: 0; left: 0;padding: 0 !important; border: none !important\" preserveAspectRatio=\"none\" fill-rule=\"evenodd\" class=\"a15\" height=\"0.28403in\" width=\"0.26042in\" viewBox=\"0 0 25 27\"><g><path d=\"M 0 0 L 25 0 25 27 0 27 Z\"\/><\/g><\/svg><\/div><p class=\"Normal\"\/><p class=\"P17\">&nbsp;<\/p><p class=\"Overskrift\"><span>Indholdsfortegnelse<\/span><\/p><div><p class=\"P18\"><a href=\"#_Toc446074420\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Indledning<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"P19\"><a href=\"#_Toc446074421\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Ubestemte integraler - Stamfunktioner<\/span>&emsp;<span>2<\/span><\/a><\/p><p class=\"P20\"><a href=\"#_Toc446074422\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Integration af potensfunktioner<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"P21\"><a href=\"#_Toc446074423\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regneregler<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"P22\"><a href=\"#_Toc446074424\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regneregel 1 - Integration af sum og differens<\/span>&emsp;<span>3<\/span><\/a><\/p><p class=\"P23\"><a href=\"#_Toc446074425\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regneregel 2 - Integration ved multiplikation med en konstant<\/span>&emsp;<span>4<\/span><\/a><\/p><p class=\"P24\"><a href=\"#_Toc446074426\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regneregel 3 - Partiel Integration<\/span>&emsp;<span>5<\/span><\/a><\/p><p class=\"P25\"><a href=\"#_Toc446074427\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regneregel 4 - Integration ved substitution<\/span>&emsp;<span>6<\/span><\/a><\/p><p class=\"P26\"><a href=\"#_Toc446074428\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Bestemmelse af konstanten c<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"P27\"><a href=\"#_Toc446074429\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgaver til stamfunktioner<\/span>&emsp;<span>7<\/span><\/a><\/p><p class=\"P28\"><a href=\"#_Toc446074430\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Numerisk integration<\/span>&emsp;<span>9<\/span><\/a><\/p><p class=\"P29\"><a href=\"#_Toc446074431\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgave til numerisk integration<\/span>&emsp;<span>11<\/span><\/a><\/p><p class=\"P30\"><a href=\"#_Toc446074432\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Bestemte integraler<\/span>&emsp;<span>12<\/span><\/a><\/p><p class=\"P31\"><a href=\"#_Toc446074433\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regneregler for bestemte integraler<\/span>&emsp;<span>13<\/span><\/a><\/p><p class=\"P32\"><a href=\"#_Toc446074434\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regel 1 - Integration af sum og differens<\/span>&emsp;<span>13<\/span><\/a><\/p><p class=\"P33\"><a href=\"#_Toc446074435\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regel 2 - Integration ved multiplikation med en konstant<\/span>&emsp;<span>14<\/span><\/a><\/p><p class=\"P34\"><a href=\"#_Toc446074436\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regel 3 - Indskudss\u00e6tningen\/Indskudsreglen<\/span>&emsp;<span>15<\/span><\/a><\/p><p class=\"P35\"><a href=\"#_Toc446074437\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regel 4 - Substitution i bestemte integraler<\/span>&emsp;<span>15<\/span><\/a><\/p><p class=\"P36\"><a href=\"#_Toc446074438\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Regel 5 - Partiel integration<\/span>&emsp;<span>16<\/span><\/a><\/p><p class=\"P37\"><a href=\"#_Toc446074439\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Arealberegninger<\/span>&emsp;<span>17<\/span><\/a><\/p><p class=\"P38\"><a href=\"#_Toc446074440\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Arealbestemmelse i Maple<\/span>&emsp;<span>18<\/span><\/a><\/p><p class=\"P39\"><a href=\"#_Toc446074441\" target=\"_top\" title=\"\"><span class=\"Hyperlink\">Opgaver til arealbestemmelse<\/span>&emsp;<span>19<\/span><\/a><\/p><\/div><p class=\"Normal\">&nbsp;<\/p><p class=\"P40\">&nbsp;<\/p><h1 class=\"Overskrift1\"><span id=\"_Toc446074420\"\/><span>Indledning<\/span><\/h1><p class=\"P41\"><span>I denne opgave vil jeg gennemg\u00e5 emnet integralregning.<\/span>&#x200b;&#x200b;&nbsp;<span>Opgaven vil jeg gribe an<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5ledes, at jeg<\/span>&#x200b;&#x200b;&nbsp;<span>vil gennemg\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>en lang r\u00e6kke teori for emnet, samtidig med at jeg kommer med eksempler p\u00e5 brugen af denne.<\/span>&#x200b;&#x200b;&nbsp;<span>Jeg vil s\u00e5 f\u00f8rt gennemg\u00e5 emnet ubestemte integraler<\/span>&#x200b;&#x200b;&nbsp;<span>og dern\u00e6st bestemte integraler. I lighed med opgaveformuleringen vil jeg<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5ledes undervejs komme omkring emnet stamfunktioner, jeg vil se p\u00e5 emnet numerisk integration og jeg vil ogs\u00e5 komme omkring arealbestemmelse.<\/span>&#x200b;&#x200b;&nbsp;<span>Desuden vil jeg undervejs<\/span>&#x200b;&#x200b;&nbsp;<span>l\u00f8se de i opgaveformuleringen givne opgaver.<\/span>&#x200b;&#x200b;&nbsp;<span>En stor del af opgaverne vil<\/span>&#x200b;&#x200b;&nbsp;<span>dog<\/span>&#x200b;&#x200b;&nbsp;<span>blot indg\u00e5 som en del af teorien.<\/span><\/p><h1 class=\"Overskrift1\"><span id=\"_Toc446074421\"\/><span>Ubestemte integraler -<\/span>&#x200b;&#x200b;&nbsp;<span>Stamfunktioner<\/span><\/h1><p class=\"P42\"><span>En stamfunktion, ogs\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>ben\u00e6vnt som det ubestemte integral,<\/span>&#x200b;&#x200b;&nbsp;<span>kan defineres som funktionen F(x)<\/span>&#x200b;&#x200b;&nbsp;<span>integreret af funktionen f(x).<\/span>&#x200b;&#x200b;&nbsp;<span>I forbindelse hermed, er det vigtigt at have styr p\u00e5 differentiation,<\/span>&#x200b;&#x200b;&nbsp;<span>hvilket vi tidligere har defineret som det<\/span>&#x200b;&#x200b;&nbsp;<span>at finde f\u2019(x)<\/span>&#x200b;&#x200b;&nbsp;<span>af f(x).<\/span>&#x200b;&#x200b;&nbsp;<span>Integration er nemlig det omvendte af differentiation.<\/span>&#x200b;&#x200b;&nbsp;<span>N\u00e5r vi ved dette, ved vi ogs\u00e5, at vi kan<\/span>&#x200b;&#x200b;&nbsp;<span>tjekke om en stamfunktion er korrekt,<\/span>&#x200b;&#x200b;&nbsp;<span>ved at differentiere<\/span>&#x200b;&#x200b;&nbsp;<span>stamfunktionen, og<\/span>&#x200b;&#x200b;&nbsp;<span>herefter skulle vi<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5 gerne<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00e5 frem til den oprindelige funktion.<\/span>&#x200b;&#x200b;&nbsp;<span>Alts\u00e5 F\u2019(x) = f(x).<\/span>&#x200b;&#x200b;&nbsp;<span>Dette kaldes for integrationspr\u00f8ven.<\/span>&#x200b;&#x200b;&nbsp;<span>Som yderligere notits kan det n\u00e6vnes, at stamfunktioner ben\u00e6vnes med store bogstaver. Vi kan illustrere alt dette s\u00e5ledes:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"P43\"><span class=\"T44\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 2.92093in;height: 1.73602in;width: 2.92093in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P45\"><span>Da en funktion kan have flere stamfunktioner,<\/span>&#x200b;&#x200b;&nbsp;<span>tilf\u00f8jes<\/span>&#x200b;&#x200b;&nbsp;<span>en konstant<\/span>&#x200b;&#x200b;&nbsp;<span>til en stamfunktion<\/span>&#x200b;&#x200b;&nbsp;<span>F.<\/span>&#x200b;&#x200b;&nbsp;<span>Derved kan vi<\/span>&#x200b;&#x200b;&nbsp;<span>definere alle stamfunktioner til f som:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P46\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T47\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span>Alts\u00e5 best\u00e5r det ubestemte i, at der indg\u00e5r en ubestemt konstant i forskriften.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"Normal\"><span class=\"T48\">Et eksempel p\u00e5 at finde en stamfunktion kunne v\u00e6re, at vi har funktionen f(x) =<\/span><span class=\"T49\">&#x200b;&#x200b;&nbsp;2x. Stamfunktionen til&#x200b;&#x200b;&nbsp;<\/span><span class=\"T50\">denne bliver s\u00e5<\/span><span class=\"T51\">&#x200b;&#x200b;&nbsp;x<\/span><span class=\"T52\">2<\/span><span class=\"T53\">, da x<\/span><span class=\"T54\">2<\/span><span class=\"T55\">\u2019 giver 2x.<\/span><span class=\"T56\">&#x200b;&#x200b;&nbsp;Alts\u00e5:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P57\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T58\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P59\"><span>Der findes en r\u00e6kke funktioner, hvis stamfunktion det er en fordel at have styr p\u00e5.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P60\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T61\">&#x200b;&#x200b;&nbsp;= ln(x)<\/span><\/p><p class=\"P62\"><span class=\"T63\">e<\/span><span class=\"T64\">x<\/span><span class=\"T65\">&#x200b;&#x200b;&nbsp;= e<\/span><span class=\"T66\">x<\/span><span class=\"T67\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P68\"><span>cos(x) = sin(x)<\/span><\/p><p class=\"P69\"><span>sin(x) = -cos(x)<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P70\"><span class=\"T71\">x<\/span><span class=\"T72\">0,5<\/span><span class=\"T73\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mfrac><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><\/p><p class=\"P74\"><span>ln(x)<\/span>&#x200b;&#x200b;&nbsp;<span>= x*ln(x) - x<\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074422\"\/><span>Integration af potensfunktioner<\/span><\/h2><p class=\"P75\"><span class=\"T76\">Ved integration af potensfunktioner lyder den<\/span><span class=\"T77\">&#x200b;&#x200b;&nbsp;generelle formel for en&#x200b;&#x200b;&nbsp;<\/span><span class=\"T78\">stamfunktion til x<\/span><span class=\"T79\">n<\/span><span class=\"T80\">&#x200b;&#x200b;&nbsp;s\u00e5ledes<\/span><span class=\"T81\">, hvis n er forskellig fra -1<\/span><span class=\"T82\">:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P83\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T84\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T85\">*x<\/span><span class=\"T86\">n+1<\/span><\/p><p class=\"P87\"><span>Og hvis n er lig 1:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P88\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">ln<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mfenced open=\"|\" close=\"|\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T89\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074423\"\/><span>Regneregler<\/span><\/h2><p class=\"P90\"><span>N\u00e5r vi taler integration,<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5 er der<\/span>&#x200b;&#x200b;&nbsp;<span>en del regler der er vigtige at have styr p\u00e5.<\/span>&#x200b;&#x200b;&nbsp;<span>Disse vil jeg nu gennemg\u00e5.<\/span>&#x200b;&#x200b;&nbsp;<\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074424\"\/><span>Regneregel 1<\/span>&#x200b;&#x200b;&nbsp;<span>- Integration af sum og differens<\/span><\/h3><p class=\"P91\"><span>For integration af sum og differens, dvs. henholdsvis at l\u00e6gge stamfunktioner sammen samt at tr\u00e6kke dem fra hinanden,<\/span>&#x200b;&#x200b;&nbsp;<span>g\u00e6lder f\u00f8lgende:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P92\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T93\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P94\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T95\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h4 class=\"Overskrift4\"><span>Bevis<\/span><\/h4><p class=\"P96\"><span>Vi kan bevise den f\u00f8rste af de to ovenst\u00e5ende regler ved, at<\/span>&#x200b;&#x200b;&nbsp;<span>hvis vi differentierer alt det der st\u00e5r p\u00e5 h\u00f8jre side, s\u00e5 skulle det gerne give f(x) + g(x):<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P97\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>=<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>g<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:math><\/span><\/span><span class=\"T98\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P99\"><span class=\"T100\">Til at g\u00f8re dette skal vi benytte reglen for at tage m\u00e6rke af to funktion<\/span><span class=\"T101\">er lagt sammen, der l\u00f8d&#x200b;&#x200b;&nbsp;<\/span><span class=\"T102\">(f + g)' = f' + g'<\/span><span class=\"T103\">, alts\u00e5 kan vi g\u00f8re f\u00f8lgende:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P104\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T105\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P106\"><span>Derfor kan jeg konkludere at:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P107\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T108\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P109\"><span class=\"T110\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T111\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P112\"><span class=\"T113\">=&#x200b;&#x200b;&nbsp;<\/span><span class=\"T114\">f(x) + g(x)<\/span><\/p><p class=\"P115\"><span class=\"T116\">Integration af differens kan bevises p\u00e5 samme m\u00e5de.<\/span><\/p><h4 class=\"Overskrift4\"><span>Eksempel<\/span><\/h4><p class=\"P117\"><span class=\"T118\">Et eksempel p\u00e5 brugen<\/span><span class=\"T119\">&#x200b;&#x200b;&nbsp;af dette kunne v\u00e6re, at vi har henholdsvis x<\/span><span class=\"T120\">3<\/span><span class=\"T121\">, x<\/span><span class=\"T122\">7<\/span><span class=\"T123\">&#x200b;&#x200b;&nbsp;og cos(x).<\/span><span class=\"T124\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T125\">D<\/span><span class=\"T126\">isse l\u00e6gges s\u00e5 sammen s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P127\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">cos<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T128\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P129\"><span class=\"T130\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">cos<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P131\"><span class=\"T132\">=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">sin<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:math><\/span><\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074425\"\/><span>Regneregel 2<\/span>&#x200b;&#x200b;&nbsp;<span>- Integration ved multiplikation med en konstant<\/span><\/h3><p class=\"P133\"><span>Vi vil nu se p\u00e5 reglen integratin ved multiplikation med en konstant, alts\u00e5 at gange en stamfunk-tion med en konstant. Reglen for dette lyder s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P134\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T135\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h4 class=\"Overskrift4\"><span>Bevis<\/span><\/h4><p class=\"P136\"><span>For at bevise denne skal vi igen bevise, at hvis h\u00f8jresiden differentieres, s\u00e5 giver det venstresiden.<\/span>&#x200b;&#x200b;&nbsp;<span>Vi starter ud med at have:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P137\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T138\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P139\"><span class=\"T140\">Nu skal vi s\u00e5<\/span><span class=\"T141\">&#x200b;&#x200b;&nbsp;benytte regnereglen&#x200b;&#x200b;&nbsp;<\/span><span class=\"T142\">(k*f)' = k*f'<\/span><span class=\"T143\">.&#x200b;&#x200b;&nbsp;<\/span><span class=\"T144\">Et e<\/span><span class=\"T145\">ksempel<\/span><span class=\"T146\">&#x200b;&#x200b;&nbsp;p\u00e5 brugen af denne kunne v\u00e6re<\/span><span class=\"T147\">&#x200b;&#x200b;&nbsp;(7x<\/span><span class=\"T148\">2<\/span><span class=\"T149\">)' = 7*2x<\/span><span class=\"T150\">. Alts\u00e5 ses det,&#x200b;&#x200b;&nbsp;<\/span><span class=\"T151\">at man beholder konstanten, og tager m\u00e6rke af resten<\/span><span class=\"T152\">. Dermed kan vi konklu<\/span><span class=\"T153\">-<\/span><span class=\"T154\">dere f\u00f8lgende:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P155\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:math><\/span><\/span><span class=\"T156\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074426\"\/><span>Regneregel 3<\/span>&#x200b;&#x200b;&nbsp;<span>- Partiel Integration<\/span><\/h3><p class=\"P157\"><span>Den tredje regler<\/span>&#x200b;&#x200b;&nbsp;<span>omhandler<\/span>&#x200b;&#x200b;&nbsp;<span>partiel Integration,<\/span>&#x200b;&#x200b;&nbsp;<span>ogs\u00e5 kaldet delvis integration,<\/span>&#x200b;&#x200b;&nbsp;<span>og lyder s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P158\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>f<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T159\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P160\"><span>Bem\u00e6rk at<\/span>&#x200b;&#x200b;&nbsp;<span>G er en stamfunktion til lille g.<\/span><\/p><h4 class=\"Overskrift4\"><span>Bevis<\/span><\/h4><p class=\"P161\"><span>Nok engang skal vi<\/span>&#x200b;&#x200b;&nbsp;<span>bevise, at hvis h\u00f8jresiden differentieres, s\u00e5 giver det venstresiden. Til at g\u00f8re dette benytter vi reglen<\/span>&#x200b;&#x200b;&nbsp;<span>der siger,<\/span>&#x200b;&#x200b;&nbsp;<span>at<\/span>&#x200b;&#x200b;&nbsp;<span>hvis man differentierer to ting med minus imellem, s\u00e5 differentierer man f\u00f8rst den ene, og s\u00e5 den anden, og minusser de to med hinanden, dvs.:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P162\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T163\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P164\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mo>=<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">'<\/mml:mi><\/mml:mrow><\/mml:msup><\/mml:math><\/span><\/span><span class=\"T165\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P166\"><span>Herefter benytter vi reglen<\/span>&#x200b;&#x200b;&nbsp;<span>(f*g)' = f' * g + f * g', og vi f\u00e5r s\u00e5:<\/span><\/p><p class=\"P167\"><span>f'(x) * G(x) + f(x) * g(x) - f'(x)*G(x)<\/span><\/p><p class=\"P168\"><span>Og da det ses, at<\/span>&#x200b;&#x200b;&nbsp;<span>det f\u00f8rste led og det sidste led kan g\u00e5 ud med hinanden, ender vi ud med f\u00f8lgende:<\/span><\/p><p class=\"P169\"><span>f(x) * g(x)<\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074427\"\/><span>Regneregel 4<\/span>&#x200b;&#x200b;&nbsp;<span>- Integration ved substitution<\/span><\/h3><p class=\"P170\"><span>Vi<\/span>&#x200b;&#x200b;&nbsp;<span>vil nu se p\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>Integration ved substitution.<\/span>&#x200b;&#x200b;&nbsp;<span>Dette benyttes til at bestemme stamfunktionen til en sammensat funktion. Hvis vi foruds\u00e6tter, at vi har en sammensat funktion af formen f(g(x))*g\u2019(x), s\u00e5 lyder formlen for integration ved substitution som f\u00f8lger:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P171\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:msup><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T172\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P173\"><span>Det ses at vi har introduceret en ny variabel, nemlig t, som er lig<\/span>&#x200b;&#x200b;&nbsp;<span>g(x).<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P174\"><span class=\"T175\">Vi kan dog imidlertid skrive ovenst\u00e5ende formel p\u00e5 en anden m\u00e5de, ved at introducere den s\u00e6rlige skrivem\u00e5de&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T176\">:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P177\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:msup><mml:mrow><mml:mi>g<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mfrac><mml:mrow><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mi>\u00a0<\/mml:mi><mml:mo>=<\/mml:mo><\/mml:mrow><\/mml:mrow><mml:mi>\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T178\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h4 class=\"P179\"><span>Eksempel<\/span><\/h4><p class=\"P180\"><span>Jeg vil s\u00e5 lige tage et eksempel p\u00e5 brugen af ovenst\u00e5ende. Vi antager at vi har f\u00f8lgende sammensat funktion.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P181\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">sin<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>8<\/mml:mn><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T182\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P183\"><span>Vi s\u00e6tter s\u00e5 t lig 8x.<\/span><\/p><p class=\"P184\"><span>t = 8x<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P185\"><span class=\"T186\">Nu benytter vi s\u00e5<\/span><span class=\"T187\">&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T188\">&#x200b;&#x200b;&nbsp;som s\u00e6ttes lig med 8, da 8x giver 8 n\u00e5r det differentieres.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P189\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T190\">&#x200b;&#x200b;&nbsp;= 8<\/span><\/p><p class=\"P191\"><span>Nu ganges der med dx<\/span>&#x200b;&#x200b;&nbsp;<span>p\u00e5 begge sider, for at f\u00e5 dt til at st\u00e5 alene. \u00c5rsagen er, at vi i n\u00e6ste linje skal ende ud med at f\u00e5 dx til at st\u00e5 alene.<\/span><\/p><p class=\"P192\"><span>dt = 8 * dx<\/span><\/p><p class=\"P193\"><span>Og der kan s\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>divideres med 8<\/span>&#x200b;&#x200b;&nbsp;<span>p\u00e5 begge sider for at f\u00e5 dx til at st\u00e5 alene.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P194\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T195\">*dt = dx<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P196\"><span class=\"T197\">Vi&#x200b;&#x200b;&nbsp;<\/span><span class=\"T198\">kan nu erstatte 8x med t og dx med&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T199\">*dt<\/span><span class=\"T200\">.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P201\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">sin<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T202\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P203\"><span class=\"T204\">Og grundet reglen&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>k<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T205\">&#x200b;&#x200b;&nbsp;kan vi s\u00e6tte&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T206\">&#x200b;&#x200b;&nbsp;udenfor.<\/span><span class=\"T207\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P208\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">sin<\/mml:mi><\/mml:mrow><mml:mo>\u2061<\/mml:mo><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T209\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P210\"><span>Vi s\u00e6tter nu igen<\/span>&#x200b;&#x200b;&nbsp;<span>8x og dx ind p\u00e5 deres plads og finder stamfunktionen.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P211\"><span class=\"T212\">=<\/span><span class=\"T213\">&#x200b;&#x200b;&nbsp;-<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>8<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T214\">&#x200b;&#x200b;&nbsp;* cos(8x) + c<\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074428\"\/><span>Bestemmelse af konstanten c<\/span><\/h2><p class=\"P215\"><span>Som n\u00e6vnt tidligere s\u00e5 er c en vilk\u00e5rlig konstant. S\u00e5 for at fastl\u00e6gge stamfunktionen entydigt, er det n\u00f8dvendigt at fastl\u00e6gge konstanten c. Konstanten c kan s\u00e5 bestemmes ved at foruds\u00e6tte, at grafen for en stamfunktion g\u00e5r i gennem et bestemt punkt.<\/span>&#x200b;&#x200b;&nbsp;<span>Dette punkt s\u00e6ttes s\u00e5 ind i stamfunktionen, og c kan isoleres. Et eksempel p\u00e5 dette kunne v\u00e6re at vi har en stamfunktion til f(x) = 4x, som g\u00e5r gennem punktet (3,21). F\u00f8rst finder vi s\u00e5 stamfunktionen til 4x:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>4<\/mml:mn><mml:mi>x<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T216\">&#x200b;&#x200b;&nbsp;= 2x<\/span><span class=\"T217\">2<\/span><span class=\"T218\">&#x200b;&#x200b;&nbsp;+ c = y<\/span><\/p><p class=\"P219\"><span>Hern\u00e6st kan punktet (3,21) inds\u00e6ttes heri:<\/span><\/p><p class=\"Normal\"><span class=\"T220\">2*3<\/span><span class=\"T221\">2<\/span><span class=\"T222\">&#x200b;&#x200b;&nbsp;+ c = 21<\/span><\/p><p class=\"P223\"><span>Nu l\u00f8ses ligningen<\/span><\/p><p class=\"P224\"><span>18 + c = 21<\/span><\/p><p class=\"P225\"><span>Og slutteligt minusses der<\/span>&#x200b;&#x200b;&nbsp;<span>med 18 p\u00e5 begge sider, s\u00e5ledes at c kommer til at st\u00e5 alene:<\/span><\/p><p class=\"P226\"><span>c = 3<\/span><\/p><p class=\"P227\"><span>Og alts\u00e5 har vi fundet konstanten c.<\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074429\"\/><span>Opgaver<\/span>&#x200b;&#x200b;&nbsp;<span>til stamfunktioner<\/span><\/h2><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T228\">Bestem<\/span><span class=\"T229\">&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mi>x<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T230\">&#x200b;&#x200b;&nbsp;o<\/span><span class=\"T231\">g<\/span><span class=\"T232\">&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T233\">.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T234\">Jeg vil f\u00f8rst l\u00f8se&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mi>x<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T235\">. Til l\u00f8sning af denne er det n\u00f8dvendigt at benytte reglen om integration ved substitution. S\u00e5ledes skal jeg f\u00f8rst finde den indre funktion(t).<\/span><\/p><p class=\"Normal\"><span class=\"T236\">t = x<\/span><span class=\"T237\">2<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T238\">Denne differentieres nu, og s\u00e5ledes finder vi&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T239\">.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mo>=<\/mml:mo><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T240\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P241\"><span>Nu kan der s\u00e5 ganges med dx samt divideres med 2x p\u00e5 begge sider for, for derved at f\u00e5 dx til at st\u00e5 alene.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T242\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P243\"><span>Nu s\u00e6ttet vi s\u00e5 t samt det nye udtryk for dx ind i integralet.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mi>x<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mi>x<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T244\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P245\"><span>Nu kan vi s\u00e5 reducere samt udf\u00f8re integrationen.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mi>x<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfrac><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mi>\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T246\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P247\"><span>Og som det sidste kan vi s\u00e5 substituere den indre funktion tilbage p\u00e5 t\u2019s plads.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T248\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P249\"><span class=\"T250\">Nu n\u00e5r vi s\u00e5 til&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T251\">. For at l\u00f8se denne er det n\u00f8dvendigt at benytte&#x200b;&#x200b;&nbsp;<\/span><span class=\"T252\">reglen for&#x200b;&#x200b;&nbsp;<\/span><span class=\"T253\">partiel integration.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P254\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>3<\/mml:mn><mml:mi>*<\/mml:mi><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T255\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P256\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi>*<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T257\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P258\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi>*<\/mml:mi><mml:msup><mml:mrow><mml:mi>e<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mi>c<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T259\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h1 class=\"Overskrift1\"><span id=\"_Toc446074430\"\/><span>Numerisk integration<\/span><\/h1><p class=\"P260\"><span>Ved bestemte integraler kan numerisk integration benyttes<\/span>&#x200b;&#x200b;&nbsp;<span>til tiln\u00e6rmelsesvist at bestemme arealet mellem en funktion og x-aksen, dette er illustreret herunder:<\/span><\/p><p class=\"P261\"><span class=\"T262\"><span><img 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\" style=\"z-index: 100;width: 5.71902in;height: 1.60807in;width: 5.71902in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P263\"><span>Som det fremg\u00e5r<\/span>&#x200b;&#x200b;&nbsp;<span>af illustrationen, s\u00e5 starter man med at inddele x-aksen mellem a og b op i op i n stykker. Jo flere stykker jo mere pr\u00e6cist bliver det resultat man ender ud med.<\/span>&#x200b;&#x200b;&nbsp;<span>F\u00f8rste rektangel har s\u00e5 en h\u00f8jde p\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>f(x<\/span><span class=\"T264\">0<\/span><span>)<\/span>&#x200b;&#x200b;&nbsp;<span>og en bredde p\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span class=\"T265\">\u0394<\/span><span>x.<\/span>&#x200b;&#x200b;&nbsp;<span>Dvs.<\/span>&#x200b;&#x200b;&nbsp;<span>at<\/span>&#x200b;&#x200b;&nbsp;<span>arealet af den er lig: f(x<\/span><span class=\"T266\">0<\/span><span>) *<\/span>&#x200b;&#x200b;&nbsp;<span class=\"T267\">\u0394<\/span><span>x.<\/span>&#x200b;&#x200b;&nbsp;<span>Intervalv\u00e6rdien kan skrives som:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P268\"><span class=\"T269\">\u0394<\/span><span>x =<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi>b<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T270\">. Hvor&#x200b;&#x200b;&nbsp;<\/span><span>a = x<\/span><span class=\"T271\">0<\/span>&#x200b;&#x200b;&nbsp;<span>og<\/span>&#x200b;&#x200b;&nbsp;<span>b = x<\/span><span class=\"T272\">n<\/span><span>.<\/span><\/p><p class=\"P273\"><span>Vi n\u00e5r nu til begreberne venstresum og h\u00f8jresum. Forskellen p\u00e5 disse er, at venstresum starter i venstre side, og h\u00f8jresum starter i h\u00f8jre side. Dette er ligeledes illustreret i billedet herover.<\/span>&#x200b;&#x200b;&nbsp;<span>I forhold til forholdet mellem disse kan det n\u00e6vnes, at hvis funktionen er voksende vil venstre-summen v\u00e6re lavere end det egentlige areal, mens h\u00f8jresummen vil v\u00e6re st\u00f8rre. Og hvis grafen er aftagende vil venstresummen v\u00e6re st\u00f8rre end det egentlige areal, mens h\u00f8jresummen vil v\u00e6re lavere.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P274\"><span>For at finde arealet beregnes f\u00f8rst venstresummen. Dette findes ved at sige:<\/span>&#x200b;&#x200b;&nbsp;<span>f(x<\/span><span class=\"T275\">0<\/span><span>)*<\/span><span class=\"T276\">\u0394<\/span><span>x + f(x<\/span><span class=\"T277\">1<\/span><span>)p<\/span><span class=\"T278\">\u0394<\/span><span>x\u2026+f(x<\/span><span class=\"T279\">n-1<\/span><span>)<\/span><span class=\"T280\">\u0394<\/span><span>x, hvilket ogs\u00e5 kan skrives som<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u2211<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">i<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn>0<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">i<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T281\">.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P282\"><span class=\"T283\">Dern\u00e6st findes h\u00f8jresummen ved at sige:&#x200b;&#x200b;&nbsp;<\/span><span class=\"T284\">H<\/span><span class=\"T285\">n<\/span><span class=\"T286\">&#x200b;&#x200b;&nbsp;= f(x<\/span><span class=\"T287\">1<\/span><span class=\"T288\">)*<\/span><span class=\"T289\">\u0394<\/span><span class=\"T290\">x + f(x<\/span><span class=\"T291\">2<\/span><span class=\"T292\">)*<\/span><span class=\"T293\">\u0394<\/span><span class=\"T294\">x \u2026 + f(x<\/span><span class=\"T295\">n<\/span><span class=\"T296\">)*<\/span><span class=\"T297\">\u0394<\/span><span class=\"T298\">x<\/span><span class=\"T299\">, eller&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u2211<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">i<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">n<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">i<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">\u0394<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T300\">.<\/span><\/p><p class=\"P301\"><span>For s\u00e5 at finde arealet tager vi gennemsnittet af h\u00f8jre- og venstresummen, hvilket defineres som trapezsummen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P302\"><span class=\"T303\">Trapezsum: T<\/span><span class=\"T304\">n<\/span><span class=\"T305\">&#x200b;&#x200b;&nbsp;=&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>V<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>+<\/mml:mo><mml:msub><mml:mrow><mml:mi>H<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><\/p><p class=\"P306\"><span class=\"T307\">Desuden g\u00e6lder f\u00f8lgende formel for H<\/span><span class=\"T308\">n<\/span><span class=\"T309\">&#x200b;&#x200b;&nbsp;- V<\/span><span class=\"T310\">n<\/span><span class=\"T311\">:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P312\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:msub><mml:mrow><mml:mi>V<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi>H<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>=<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfrac><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T313\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h4 class=\"P314\"><span>Eksempel p\u00e5 arealbestemmelse ved numerisk integration<\/span><\/h4><p class=\"P315\"><span class=\"T316\">Som eksempel p\u00e5 dette tager vi udgangspunkt i funktionen<\/span><span class=\"T317\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T318\">f(x) = x<\/span><span class=\"T319\">2<\/span><span class=\"T320\">&#x200b;&#x200b;&nbsp;i intervallet [0,2].&#x200b;&#x200b;&nbsp;<\/span><span class=\"T321\">Man kan s\u00e5 finde l\u00f8sningen<\/span><span class=\"T322\">&#x200b;&#x200b;&nbsp;til ovenst\u00e5ende<\/span><span class=\"T323\">&#x200b;&#x200b;&nbsp;via Maple ved at skrive f\u00f8lgende<\/span><span class=\"T324\">:<\/span><\/p><p class=\"P325\"><span class=\"T326\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.33549in;height: 3.10677in;width: 4.33549in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P327\"><span>Nu kan vi s\u00e5 lave venstresum.<\/span><\/p><p class=\"P328\"><span class=\"T329\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.35604in;height: 1.39514in;width: 4.35604in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P330\"><span>Og vi kan lave h\u00f8jresum.<\/span><\/p><p class=\"P331\"><span class=\"T332\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.33549in;height: 1.37857in;width: 4.33549in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P333\"><span>Og til sidst finder vi s\u00e5 trapezsummen.<\/span><\/p><p class=\"P334\"><span class=\"T335\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.33701in;height: 1.24914in;width: 4.33701in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074431\"\/><span>Opgave<\/span>&#x200b;&#x200b;&nbsp;<span>til numerisk integration<\/span><\/h2><p class=\"P336\"><span class=\"T337\">Bestem et passende antal venstr<\/span><span class=\"T338\">e og h\u00f8jresummer for funktionen&#x200b;&#x200b;&nbsp;<\/span><span class=\"T339\"><span><img src=\"data:image\/ObjectReplacements\/Object 55;base64,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\" style=\"z-index: 100;width: 1.07292in;height: 0.23958in;width: 1.07292in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><span class=\"T340\">i intervallet [0,4]. Hvor stor skal n v\u00e6re for at arealet er bestemt med en usikkerhed p\u00e5 0,001?<\/span><span class=\"T341\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T342\">Beregn den eksakte v\u00e6rdi af arealet ved hj\u00e6lp af bestemte integraler.<\/span><\/p><p class=\"P343\"><span>Her v\u00e6lger jeg at benytte Maple, og bruger samme fremgangsm\u00e5de som ved ovenst\u00e5ende eksempel.<\/span>&#x200b;&#x200b;&nbsp;<span>Det vil sige at jeg f\u00f8rst indtaster nedenst\u00e5ende.<\/span><\/p><p class=\"P344\"><span class=\"T345\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.40218in;height: 3.13155in;width: 4.40218in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P346\"><span>Dern\u00e6st finder jeg venstresum.<\/span><\/p><p class=\"P347\"><span class=\"T348\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.40687in;height: 1.41865in;width: 4.40687in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P349\"><span>S\u00e5 finder jeg h\u00f8jresum.<\/span><\/p><p class=\"P350\"><span class=\"T351\"><span><img src=\"data:image\/tmp;base64,iVBORw0KGgoAAAANSUhEUgAAAbYAAACLCAYAAAANmry3AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAA8MSURBVHhe7d2vt9zEG8fxFZVIBAKJrKiouOsRCCQCiYAoBBLBORX4IBEV\/QOw3LWVSASi57sVSEQFElEx3+eZzGSfTGaym+y93fx4v85Je5PNJNl7kv3cZ5JNdg4AgBUh2AAAq0KwAQBWhWADAKwKwQYAWBWCDQCwKgQbAGBVFhhsB1ftdm63r92x8zMAAEsMtuPRHQ+V29cHV+8rdzjWbr+T\/8PLAIBtW2RX5KHaub2EWq1lmoTcriLWAACNhXZF7l11aDofNeTINQBAtLxgsxUa3ZAAgMTigq1ToWnI6cUjlGwAgGCR59gAACgh2AAAq0KwAQBWhWADAKzKfIPtbe3u9MKQiUN1H5YDANiUmVds980ts3S4NKnumysl7+q3YQIAYEvm3xVpKrdLw+ptfUewAcBGLeMc2+hwk0qPvkgA2KTlXDwSuhh1ILMAACXLCTahXYxNuN05ehoBADmLCjZ1XzVV225XOQo3AECqGGx6T0YNkL1\/Nsy8PEi4+Rso6zL2zeNvgn\/\/\/dd98cUX7t27d2HK5b799lv35s2bMAYAuIXBim2+j4R56+q7EG53tYyNZJ4K4J\/tFpLt\/fv37u7uzv36669+fKy\/\/vrLPXv2bFIoWvf1hPcEAPAGgk2fezbnR8JM+I5bUArsn3\/+2X311VdhbJqXL1+6L7\/8MoxN4C+SoZsVAKYqB9sinkw9Idz8o276gf3ff\/+5Tz75xP3xxx9hyjS6nI8\/\/njicuT9SMWoX23gyk8AmGbwHFuTa0dX75vwyOdc6Bac0iX4EEZUOPG8oR\/2tbyzk99++80HW0985ls7v1ay\/fbW119\/7c+3jXVf6ftofp\/t9\/UmrB8AtqwQbLEbUkOtubjiWO8LF5LYYDPnvgaHB7pcf0K3nT2nZn3\/\/ff+opG8+Hu4rHv2xx9\/dE+fPg1jF5L3Eqs0f3FM5w+FcesHgC3LB5teXCEVQV3FKwabqm1WPZOTzkWV38fz58\/dN998E8b6NNhzXZg5evHJkydP\/MUoXdp1mtvm5E4pmfc2Zv0AsGXZYPPVmVQIbQCEoMt3fd2gYpsUasJcDZn69NNP3U8\/\/RTGMgZ\/B12vXr3y7\/PSS\/+bLkgj3EKsc55txPoBYMsywdZUNba7rtwNqWywfQA+1KYFo696CuGgQfTixYsw1nfQ30HynbeSGGyvX78OUwaYLsiT5qIYe1\/MMesHgC3rB1uvMjid36lv\/al6Raip0vk1NRRsGohavbYX1BwkjPT\/QgV4ebAlXZCGPc9WXD8AoKcXbL3qzH94a\/fhjc\/vjA41qSS\/s1WkXnhRrnhywRavomx\/H\/EKxTOpclmwXdptO379ALBl+YtH5safcxpZqWkQ2mpIQ2EgEM6eY8togq9csXF7LQD48OYfbFNCLZyj+u5l7CocrtbUuasis7SazYRl+apIAMBjm3ewmQeMjh8q97sPNP35\/EUXw99jy4vnvlKTvscGAHgQsw2207PXJg4jr9Is3nmkKF5UE0aNqXceAQBcbxnn2D6A0feKLHyv7Lp7RQIArkWwGWPu7u+\/EyeVYdoVefXd\/QEAV1ltsA19Z60kPo9Nr2qc4qGexwYAmG6+wVb48vMlYjU1NthUfIL2P\/\/8E6ZcjidoA8DtrbZi633RHACwCbMNtv6Xn5t7WHaufIxD5pp7gg0AtmneXZEDdwo5h2ADgG2abbBpMHVzjYoNAHDeTIOt\/OXnSxFsALBN8wy2wpefxyDYAGCbZhlsGkraxTj1FFtsrwPhBgDbMt+LRwAAmIBgAwCsCsEGAFgVgg0AsCoEGwBgVQg2AMCqEGwAgFUh2AAAq0KwYbmOzu1lDy59B7\/ey+t1GMkJ7XfJMrSdTtMh2\/7MelVchm1\/qE7LjcMV9\/kGUCCHFrBAEggxHHIBU4XXSsF2lOm5tn66hJKfnAuwM+uNbXrrlel1EmIafkPhCGAaOQSB5dIAK4WDVkjZYAvhlCuW0ja6\/FxVVVpvaX4Nts7sMrKPAQrgQclhCCzXlGDTSqky3YKdIAqh55epP8t8Obn1+mpP5tfX\/LILbZXOW6omAVxHDj9guUYHWwiuGGa5Lsk4bSiYcuvVaRqYftHyWrZLMqAbEng8cugByzU22Drn0AIfSCHolM4TK7pSMPXWG4LMTtP1Z8NR56UbEng0cigCy\/UQwabVU5xPX2\/bJNWddUmw5dalOusA8OAINiza2GCLYWWzyp9zCxNsyKnsMkRuvTotrfxyFRvdkMDjItiwaKODTWiwtIGjQWeqKt99aMbTsIpy6\/VBJtPj7Nltk3G6IYHHJYcesEAaELL3+os8ZEjDx4dXfD1TNWnoxNfT3LJte8F4Zr0+GAuvKbohgQFyAO3kAIl\/+B3kQN3JweSHcEAd5QDdn+nykMMPAIDb0sDayV+h8e\/BJtTCuAaeCTf\/mgnAFMEGALitEFxtL8exdnsNsja8Dq7ylds+dO8346XKjWADANzQ0dX7pAKLFVo7Lcxjwq+p8GLQdRFsAIDbidWZPSkdg63tmuwHW5wnV7URbFgE2X83MwCbkpw\/a8SuxxhkMdhMhZZt1+AwAgDcTqnyipWcHWyI5Sq9gGADANzOQOUVNVdIJufTqNgAALM0UHm14ZW7SKRU6QmCDQBwQ\/2rIpsrHguBFnBVJLZFdnQ5TmSnlyFz1xElx4T8pRdGLPmj0bfTIXfrK7tsGdKDSpdbbAsgL1RtA72RCb7Hho2pTKjorbPSg0Wnafj0gk1DywShny8JxoOMl\/6C1NfiMuU4LYYqgL70ziNDuPMItkX2dLuza9gUuu57wXaU+WxbH05J5aXPaSvRILShl44DOEMrt4HAUj4Az5R2BBvWS\/b9UtWUC7aepL0POq3iZOgdVzpvEoLaLXl51wqAh0KwYZU0uHwIXRFspWrPh5gs27bPVXfF83gAHhXBhvWSlNELPXLhcjbYtG0hFL2w7Jh7BBswHwQbVi0XOOpcsGkonetF1GW059C0issEG12RwIdHsGHdNHAylddQsHUCa4DO1+aWzG8rOMXFI8BtEGxYtVLVVAo2rfA688vPpfNsaXu7TF8pyjiAD49gw7pI4MQrF7NXLwoNu3YeEz4aTLZtHOIiSu2sdh75n2INuA05BAEAWA+CDQCwKgQbAGBVCDYAwKoQbACAVSHYAACrQrABAFaFYAMArMoNgk2ffNp\/nHf7KPD98LN4vKN5Zs+huqBNfp0AgPV5nGCT4KmyKXJ09V7CKw2ZJKhKj\/tuNI8EvygAS4rbBwBYuscJtsFw0nDrBps+5vt06yMNrjOPB7dBOMXZ8AQALNWVwRaqJz\/EMDLTsnePTYPt3PiJBmCzLhmyXZGxIoyD3aa4zGT7NCTDvPXhEJYDAFiqq4JNz4s1lY8Jo+PRHdrpOdOCzZ+DC0Hpf5Yw+18MqRBsp3m6y2gCMb99hyrOJ8u6pgoEAMzCA3RFaog0FVAs0E6BlzMl2JJptisyOT+XC7Z03G6fD0PZ9vL2AgCW5Lpg0yDxlZAGx9Rgayqq2NZXTr1zbBcGm5+vCdluN2g52Bqx3ZlzewCA2bsq2E6B1ATD1GCz4VRq67sTTytozovpeFKx5ddbDrZDHUNRmyfbBQBYnAeo2LTSkaCwFU+c3qmaVKyMmjY2RDRs\/PS2+kqZiz78ULl7szwfVDHwwhDDq7dss33+fFts09teAMDSPMA5thk51J2wtNUYAGAbVhRsaRfnwdU25QAAm7Cyii12jerAhSAAsEXrCrYH9P79e\/f555+7v\/\/+O0wBACwBwTbg9evX7unTp+7NmzdhCgBg7gaD7dWrV5sfnj9\/7j766CP3yy+\/hN8KAGDOBoPtxYsXmx+ePXvmnjx54n744YfwWwEAzBldkQP+\/PNP99lnn\/kuSQDAMhBsA\/TiEc6vAcCyEGwD3r17F34CACwFwQYAWBWCDQCwKgQbAGBVCDYAwKoQbACAVSHYAACrQrABAFaFYAMArArBhts7OreXPXGnQxWmRYcw3Q7pPMaxPs1XZR7IV+9Pr+9l3pRvL\/PkHlFr2xaf9RfeS+l1v\/x0+837L25TeJ1n52Lx9LmZsqPrrnyo4vMzdbAPig7sMzZDGz1gug+V7pNDBbitygSJ7OedQKqTD3r9kM99+HvSrn1NftYgsAHTCS35R8PEHhxyDPk2uWDT1+K8fr5CuMbwywZbWGfaVt9zXLa27wSyvo9km7PLBhbgKDt47yHQcmDufXglYRWmx+PBh2Abbgc5bnZyvNsGJ3KYADck+6XdNTU07Af7Mdlv9YO\/sC\/35tXAsAeQLtuGYhqinozngq2zbJ0nE2wanLW8VgqfWtocNFxt23R9yXi6zek4sBiy82rl1TvmCsHWVHOnaU0omvZ+efnKjWDDfOiHeiYwWrID7zOhk6MBkA0t2eP9gVBal04\/s440MD1pUGng6DZmXvehJ6\/p\/3a9vaBK2uu67IGbtgeWQbsPbcVlNdVXN6T602Kwnaq08jLlsAFuTz\/gNXSGPrT1Q\/2SakXDQJfVCzbhg2FoPUPBpq+FZaeLbrtT5Z9esMlI3O40mLQCzQWbP3btz4Fvf2G4A7MhO66vynIHpRwg5WA7dVvGYLPLSKu6SA4bYCbCB3kpvIa6IVMxwNL5dXoVQjS7HjlmzgWHboedR0O5PdTCe7CHr64vItiwSb7b8LGCrd+9KYcNMB\/FD279kB\/5gZ6Ghi67HZcDQY6HfHflufXotpjAiRViOvjXw3p6Q1gHXZHYhBBs+Ys9xgWbXUbvvFsghw0wIxoEmQ\/uTihdSEPD7vBp0PVCRen6LwhQDZzkWGpIw7Ris9Jg6gVVsn7dZvsestsMzF0ItssrNm3SnZYLMSo2LEL6QR7p9OwfeyWZgNFQsKGh4dRbl4yfC7bBqimzXivX1lZlvfdvt+fMsoHZkh1\/3Dk2EdrEJj7E5K86Owvn2DBP+sEte2Ecsvu9fqAXwkaDQD\/4lQ8us6zcovz84fW08vGhU2iv4dO+Vgo1pduatLWyoRja6LJz1ZjdrlHhDsxG7grGME127M5g54mVXjrd46pIAMAtJRXY1Xzo9as1RbABAD6I5jxZcueRSZruS+48AgC4Pa3cMt2Hl2u6IIcqP4INALAqBBsAYFUINgDAqhBsAIAVce7\/ofH681J9DncAAAAASUVORK5CYII=\" style=\"z-index: 100;width: 4.37939in;height: 1.38981in;width: 4.37939in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P352\"><span>Jeg finder trapezsummen.<\/span><\/p><p class=\"P353\"><span class=\"T354\"><span><img src=\"data:image\/tmp;base64,iVBORw0KGgoAAAANSUhEUgAAAbgAAAB9CAYAAADQmHYAAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAulSURBVHhe7d0vl9PKH8fxCuRKHgISgUDc+n0ACAQCyclBIBBIzkHgg0QgEDyGG4PYB4BYuef2J1YgECsQCMSK+X2\/k5l0Mp1pm7a7Tabv1zm5t\/kzabon6YfvJE1mBgCAAhFwAIAiEXAAgCIRcACAIhFwAIAi7RRwf\/78Ma9fvzZ\/\/\/51U+5XU83MbDYz83rhpiy9e\/fO\/Pz5040BAE7VTgH36tUrc3l56caOQ0OuatxI4NevX+bZs2fm9vbWTQEAnKLBAafB9vLlSzd2CP+aalbJf4dobJtEvlnv37833759c2MAgFM0OODevHljPn\/+7MYOYYeAayozS5VvzsXFhTk\/P3djAIBTNDjgnjx5Yr5\/\/+7GWot6bs+Jzea18WfF7HmyYDxveMAtuycXpp635+PCvLu5uTFnZ2duDABwigYH3MOHD83V1ZUbC2hVNZub5XUfEj7VXQSc757UcGvfTwM2vuBEQ+\/3799uDABwagYHnAbH9fW1Gwtp8ASV1KI29UovooZZW3GtHf6pzf9cixWy3rlUhnXlw7St4uIeS11PejsBAKfggAEXBs221ZsaVsHZak0qtzBINfDi9yLgAOC0Ha6L0gWcdhU2XXW1jSEBt3wPL9U9qTTg6KIEgNO100UmepViiv8BdtxduN6AgFup1jTwNEwbUwchx0UmAIDBAac\/E\/jy5Ysb68v9+Hq97QNupVrTwJNAndmLTpb4mQAAYHDA6Q+9nz9\/7sbG6ePHj\/zQGwBO3OCAU3qrrh8\/frixcdH7ZL548YJbdQHAidsp4DRENOSOdbPldfQ2XVw9CQDYKeAAABi7tQGnV0SWOAAAyse3PQCgSAQcAKBIBBwAoEgEHACgSMcNOPuIHXfxx1bPjgMAYDvHCzi9zVZ3X6\/2UTvrntINAMAQRwu4RaOPLF2yTwWnigMAHMh4zsFpdyUVHADgQEYTcLs9iQAAgLRxBFzvfBwAAPsbQcDpQ0v7z3MDAGBfRw+4ptIncrsRAAAO5KgBp1dO9nomm4rzcACAgzhawOlFJeEd\/tuBrkoAwGGM4yITAAAOjIADABSJgAMAFImAAwAUiYADABSJgAMAFImAAwAUiYADABSJgAMAFImAw7QtjJnLXpy7n+milp18bhdLc+1nmXXY9jo\/tY4d2jaVmxYM3J4OuBtyeAETJcHgQyIVMF2YZALOB1AuHGtpd9C2MlJHYabL5dYBYD9yiALTVq0JGhuCqZBy4Zgrnmw4ypC0a1vZiN52yMg8E6AA9kfAYfJ2CTitnCpf4cnQ6ybU4NFpwfxw9j5tQ1oFzmUAcDfk8AOmbXDA6TQNIZc8cXejr8AaN7\/X3bhP2wjdk8DdkkMTmLahAWdDKZqm6\/ChpcHTq6xcqOnsfdr2yArongTulhx6wLQdIuDCYFoJKQ0j9x77tA3penrLATg4Ag6Tt2sXZVhVaTD5KmzlIhEXUnb2Pm0D2ia7zQAOQg49YNoGB5zQgOmCKF7GhVIYWmG1tU9bS5dJbBOAwyLgMF0uTLSi0sGHime7E4P50WwbjLl5Nrj8\/LAic\/ZpS\/ckcD\/kEAQAoDwEHACgSAQcAKBIBBwAoEgEHCaju3DjBAYA++NQAgAUiYADABSJgAMAFImAAwAUiYBDmcK7nCTuJqJSN062wjuRZG6pZW\/X5ZaJ70rSzeN2XMBRyWEIlKcKwkVvqxXfxsveFDkVQjIyDwLR3pIrDkhZV+5WW+G9J22AZsIVwN0j4FAeCakwtDR04oCztFKLAm4h03rjiSpP15danYpv\/ByPA7g\/BBzKpiGWq6ISAbcibi8LZ7s+E+vT7spkuAK4cwQcitV1Q+4RcNnqT9juy6B9qtrTgOPJAcBxEHAom6u4kiGzKeC0bS4cnbBCI+CAcSHgULy1V0uuCTgNp0zxtiQLdAGWWB9dlMDxEHAonwZPqhJLBJKnXZNbXRwi6+gCTJbXajHMMy4yAY6HgEPxslVUJuC04ustL69zVVj4cwSlwcjPBIBxIOBQHg0u2bP9kAonGz7BMn6R7sKUaPDzc+1CGqh2fqY6BHA\/5DAEAKA8BBwAoEgEHACgSAQcAKBIBBwAoEgEHACgSAQcAKBIBBwAoEhHCrjGVLP5yi2MFvXczGYzM5vXm38gu6jN3C\/XVFu0Sb8nAKBMdxdwEkBVMk0Wpp5LiMVhEwXWfG0SaVhtGYQ52e0DAJTg7gJubUhpyPUDrqlmwS2VNMCq5G2QOmEg7mJjiAIApuwAAeeqKTv4UAqmJe9SGwfcpvElDcL2vWRIdlH6CtEP4Tb5dUbbp2Hplq2bxq0HADBlewecnjdrK6EglBYL03TTU3YLOHuOzgWmfS2h9p8PKxdwy2X662iDMb19TeWXk3XtUxUCAEbjQF2UGiZtReQLtmXwpewScNG0sIsyOn+XCrh4PNw+G4qy7fntBQBMzf4Bp4FiKyMNkF0Drq2wfFtbSa2cg9sy4Oxybdj2u0fzAdfy7Tac+wMATMLeAbcMpjYgdg24MKRybW034\/IN2vNmOh5VcOn3zQdcU\/tw1ObRdgEAJulAFZxWPhIYYQXkp\/eqKOUrpbZNGCYaOnZ6V43FgotD7FCZf4P12cDywecGH2Ir6w62z56P821WthcAMEUHOgc3Ik3dC82wOgMAnI7CAi7u+mxMHaYdAOBkFFjB+S5THbhgBABOVXkBd0C3t7fm\/PzcXF9fuykAgKkg4Da4uLgwjx8\/NldXV24KAGAKNgbc169fT354+vSpOTs7M58+fXJ\/FQDA2G0MuA8fPpz88OTJE\/PgwQPz9u1b91cBAIwdXZQbXF5emkePHtmuSgDAdBBwG+hFJpx\/A4DpIeA2uLm5ca8AAFNCwAEAikTAAQCKRMABAIpEwAEAikTAAQCKRMABAIpEwAEAikTAAQCKRMBhHBbGzGVvnOlQuWmBys8Lhtyz\/hb1cpkqsVA9z69jn7Yd91nWbl\/8GYPPP5f5sXC7eIYvJk+f2yk7uu7KjRzcy2d4hg+sbvXmuzZ6wPQfbp0mhwtwfJUEh99XNczCcNEv915YyIKyb3fL98iCXUDIaw2EsK0cV91Boa97QbNP24APwbBtR7dd5sVt9TP7dWv7XrjqtvjP69on1w1MwEJ28JWHUctBPrch1g+tfvi5oTs4GjluZnLMBg0icqgARyb7Z7iLanj0Ai7afzXwUlWOipfV4AgPpN58mREGzT5tPd22WublQqiWNo0s02ur6woDOxrXv0f4eeNxYDJk59WQWukdSQWcTgsWXIZdEI52fflKjoDDuOiXeyI4QlrhrPlHWycOylgcYKGd2so2VRo88v9UwNnwk3n6\/\/AzrgRW1F7fK\/y8cXtgGrRbUQJKdvZgd3baamxdWHUh2Dsw162TgMOI6Be97L\/rv7z1yz+sdjI0FHRdyZCSafZ9ZEjN3rVt182q2xjPlxEfYnFAaWCnAs4e6OFrx7bf4m8AjEoyoLwtAs5Wa6vVX1vZpdvJoQOMiPtC733hB\/TLPTcvZoMgCoeQPVeWCYqhbTWcu+POfYbwOKyCQLPrJuBwalxA7RpwGmSp822+6zK1Wjl0gHFZ9wW+bfektxIeIVlPHB6hIW191RcPdr4ceKl5\/jPSRYmT4AIufVHIhoCTtrmLSdqLVgg4TIUGQuoLXL\/4M8GXo+GR\/Aejo+GRm71zW93ONeuNA2olsKRhGPAatOF2rAQiMAUu4AZXcHKAhBeb6LJ1sBAVHCYl\/kL3NAgGfbEPDJqee24bVmkrn19ed4G3Yd3AaGlQDQ0436Y39JfhHBzGTb\/AZU\/0Q3L\/F\/rFn9qJdboGgNLqJlxXvCoNkm5+FDL7tO3ZEELJcHRtdN2pELdt3PzU3wAYv9QVj26a7Ni9QZb5z1d8K0P4GzquogQAjIGryHL\/iB3MhmDmvJ0g4AAA9yZ5J5OdtN2a3MkEADAeWslluhW303ZNbqoECTgAQJEIOABAkQg4AECRCDgAQIGM+T+1REifhOuqOwAAAABJRU5ErkJggg==\" style=\"z-index: 100;width: 4.39782in;height: 1.24938in;width: 4.39782in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P355\"><span class=\"T356\">Og slutteligt benytter jeg s\u00e5 formlen&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:msub><mml:mrow><mml:mi>V<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>-<\/mml:mo><mml:msub><mml:mrow><mml:mi>H<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:msub><mml:mo>=<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:mo>\u2206<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfrac><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi>*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T357\">. \u00c5rsagen til at jeg herunder benytter p i stedet for n er ganske simpelt, at jeg allerede har brugt n \u00e9n gang i beregningerne i Maple.<\/span><\/p><p class=\"P358\"><span class=\"T359\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 4.40528in;height: 1.33066in;width: 4.40528in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><h1 class=\"Overskrift1\"><span id=\"_Toc446074432\"\/><span>Bestemte integraler<\/span><\/h1><p class=\"P360\"><span>Tidligere har jeg n\u00e6vnt begrebet ubestemte integraler. Vi har imidlertid ogs\u00e5 begrebet bestemte integraler. Kort fortalt s\u00e5 er forskellen p\u00e5 de to, at man ved ubestemte integraler finder en stamfunktion, mens man ved bestemte integraler ender ud med et tal. Hoveds\u00e6tningen ved bestemte integraler lyder:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P361\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:munderover><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:munderover><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi>b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi>a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>F<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T362\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P363\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:munderover><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:munderover><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T364\">&#x200b;&#x200b;&nbsp;skal s\u00e5 l\u00e6ses som integralet af f(x)dx fra x = a til x = b. Og i forhold til ovenst\u00e5ende, s\u00e5 er&#x200b;&#x200b;&nbsp;<\/span><span class=\"T365\">F&#x200b;&#x200b;&nbsp;<\/span><span class=\"T366\">alts\u00e5&#x200b;&#x200b;&nbsp;<\/span><span class=\"T367\">en vilk\u00e5rlig stamfunktion til f.<\/span><span class=\"T368\">&#x200b;&#x200b;&nbsp;Og det<\/span>&#x200b;&#x200b;&nbsp;<span>ses<\/span>&#x200b;&#x200b;&nbsp;<span>s\u00e5, at man finder det bestemte integral ved,<\/span>&#x200b;&#x200b;&nbsp;<span>at man finder en stamfunktion til lille f, ved f\u00f8rst at s\u00e6tte den \u00f8vre gr\u00e6nse ind(b), og s\u00e5 tr\u00e6kker man den nedre gr\u00e6nse(a) fra.<\/span>&#x200b;&#x200b;&nbsp;<span>Grafisk kan dette illustreres s\u00e5ledes:<\/span><\/p><p class=\"P369\"><span class=\"T370\"><span><img src=\"data:image\/jpeg;base64,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\" style=\"z-index: 100;width: 3.05935in;height: 1.98935in;width: 3.05935in;display: inline;\" title=\"\" alt=\"http:\/\/opslagsvaerker.gyldendal.dk\/en\/OpslagsvaerkerVirtuelle\/Gyldendals%20Gymnasiematematik%20B2\/Resume\/~\/media\/Images\/Gymnasiematematik\/Resume_B2\/ResumeB2-02.ashx\"\/><\/span><\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P371\"><span class=\"T372\">Et eksempel p\u00e5 brugen af dette kunne v\u00e6re, at man har&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T373\">. Ved s\u00e5 at benytte hoveds\u00e6tningen om bestemte integraler fra f\u00f8r, kan vi finde stamfunktionen til 2x+3, og dern\u00e6st kan vi s\u00e6tte henholdsvis a og b, som i dette tilf\u00e6lde er 2 og 7, ind p\u00e5 x plads i stamfunktionen.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P374\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:msup><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mn>7<\/mml:mn><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mn>2<\/mml:mn><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:msup><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mo>(<\/mml:mo><mml:msup><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mn>2<\/mml:mn><mml:mo>)<\/mml:mo><\/mml:math><\/span><\/span><span class=\"T375\">&#x200b;&#x200b;&nbsp;= 70 - 10 = 60<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P376\"><span class=\"T377\">Dette kan ogs\u00e5 l\u00f8ses meget simpelt i Maple, ved at&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mn>2<\/mml:mn><mml:mi>x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mn>3<\/mml:mn><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T378\">&#x200b;&#x200b;&nbsp;blot skrives ind, ved at benytte en skabelon der findes under expression. Dern\u00e6st trykkes der enter, og vi har nedenst\u00e5ende.<\/span><\/p><p class=\"P379\"><span class=\"T380\"><span><img src=\"data:image\/png;base64,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\" style=\"z-index: 100;width: 4.59375in;height: 0.72917in;width: 4.59375in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074433\"\/><span>Regneregler for bestemte integraler<\/span><\/h2><p class=\"Normal\"><span>Ogs\u00e5 ved bestemte integraler findes der naturligvis en r\u00e6kke regneregler. Disse vil jeg nu gennemg\u00e5.<\/span>&#x200b;&#x200b;&nbsp;<\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074434\"\/><span>Regel 1<\/span>&#x200b;&#x200b;&nbsp;<span>- Integration af sum og differens<\/span><\/h3><p class=\"Normal\"><span>For integration af sum og differens, alts\u00e5 at henholdsvis l\u00e6gge to funktioner sammen og tr\u00e6kke to funktioner fra hinanden, g\u00e6lder f\u00f8lgende regler:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T381\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T382\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h4 class=\"Overskrift4\"><span>Bevis<\/span><\/h4><p class=\"Normal\"><span>Jeg vil s\u00e5 n\u00f8jes med at bevise reglen for sum, da beviset for reglen for differens er magen til. <\/span>&#x200b;&#x200b;&nbsp;<span>Det f\u00f8rste jeg g\u00f8r er, at jeg<\/span>&#x200b;&#x200b;&nbsp;<span>benytter<\/span>&#x200b;&#x200b;&nbsp;<span>reglen<\/span>&#x200b;&#x200b;&nbsp;<span>der siger at F og G er stamfunktioner til f og g:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T383\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"Normal\"><span>S\u00e5ledes ved jeg at:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"Normal\"><span>Derfor bliver venstre side:<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>\u00b1<\/mml:mo><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mo>[<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>]<\/mml:mo><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span><span class=\"T384\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span>Og h\u00f8jre side<\/span>&#x200b;&#x200b;&nbsp;<span>bliver:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>\u00b1<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><\/mml:mrow><\/mml:mrow><mml:mo>+<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>+<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T385\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span>Det ses at<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>og<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>+<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>er det samme.<\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074435\"\/><span>Regel 2<\/span>&#x200b;&#x200b;&nbsp;<span>- Integration<\/span>&#x200b;&#x200b;&nbsp;<span>ved<\/span>&#x200b;&#x200b;&nbsp;<span>multiplikation med en konstant<\/span><\/h3><p class=\"Normal\"><span>For integration ved multiplikation med en konstant, alts\u00e5 en funktion gange en konstant, g\u00f8r f\u00f8lgende sig g\u00e6ldende.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T386\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h4 class=\"Overskrift4\"><span>Bevis<\/span><\/h4><p class=\"Normal\"><span>For at bevise denne skal jeg benytte f\u00f8lgende regel, som jeg tidligere v\u00e6ret omkring.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"Normal\"><span>Venstre side:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:math><\/span><\/span><span class=\"T387\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span>H\u00f8jre side:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T388\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span>Det ses at<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi mathvariant=\"normal\">a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>og<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mi mathvariant=\"normal\">K<\/mml:mi><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>er det samme.<\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074436\"\/><span>Regel 3 - Indskudss\u00e6tningen\/Indskudsreglen<\/span><\/h3><p class=\"Normal\"><span>Den tredje regel g\u00e5r under betegnelsen indskudsreglen, og lyder s\u00e5ledes.<\/span>&#x200b;&#x200b;&nbsp;<span>Ved denne beregnes arealet mellem a og b, ved indskyde punktet c.<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T389\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span class=\"T390\">Som forklaring p\u00e5 brugen af denne kan illustrationen herunder benyttes.&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span class=\"T391\"><span><img 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style=\"z-index: 100;width: 3.36602in;height: 2.45043in;width: 3.36602in;display: inline;\" title=\"\" alt=\"https:\/\/mata3stx.systime.dk\/fileadmin\/_processed_\/csm_mat2-32_a2098de650.png\"\/><\/span><\/span><\/p><h4 class=\"Overskrift4\"><span>Bevis<\/span>&#x200b;&#x200b;&nbsp;<\/h4><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>+<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>+<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">b<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T392\">&#x200b;&#x200b;&nbsp;<\/span><br\/><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi mathvariant=\"normal\">F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:math><\/span><\/span><span class=\"T393\">&#x200b;&#x200b;&nbsp;<\/span><br\/><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi mathvariant=\"normal\">a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">c<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi mathvariant=\"normal\">f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T394\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074437\"\/><span>Regel 4 - Substitution i bestemte integraler<\/span><\/h3><p class=\"Normal\"><span>Reglen for substitution i bestemte integraler lyder som f\u00f8lger:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:munderover><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:munderover><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mi>g<\/mml:mi><mml:mi>'<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:munderover><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>g<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>a<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mrow><mml:mi>g<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>b<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:munderover><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>t<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>t<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>F<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T395\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span class=\"T396\">Ogs\u00e5 her er t = g(x).<\/span><\/p><h4 class=\"Overskrift4\"><span>Eksempel<\/span><\/h4><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><\/mml:math><\/span><\/span><span class=\"T397\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"Normal\"><span>Det ses at t er lig 3x - 4<\/span><\/p><p class=\"Normal\"><span>t = 3x - 4<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>er lig 3, da 3x - 4 giver 3 n\u00e5r det differentieres:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>= 3<\/span><\/p><p class=\"Normal\"><span>Nu kan vi isolere dx:<\/span><\/p><p class=\"Normal\"><span>dt = 3*dx<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>dt = dx<\/span><\/p><p class=\"Normal\"><span>N\u00e5r x = 2 s\u00e5 er t = 3 * 2 - 4 = 2<\/span><\/p><p class=\"Normal\"><span>N\u00e5r x = 7 s\u00e5 er t = 3 * 7 - 4 = 17<\/span>&#x200b;&#x200b;&nbsp;<\/p><p class=\"Normal\"><span>Dvs.<\/span>&#x200b;&#x200b;&nbsp;<\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>7<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:msup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn>3<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mo>=<\/mml:mo><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">t<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mn>17<\/mml:mn><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mn>2<\/mml:mn><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>15<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mfenced separators=\"|\"><mml:mrow><mml:msup><mml:mrow><mml:mn>17<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfenced><mml:mo>=<\/mml:mo><mml:mn>94.655<\/mml:mn><\/mml:math><\/span><\/span><span class=\"T398\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span class=\"T399\">Som notits hertil kan det n\u00e6vnes, at&#x200b;&#x200b;&nbsp;<\/span><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>15<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>f\u00e5s, da<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>5<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<span>er lig<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>15<\/mml:mn><\/mml:mrow><\/mml:mfrac><\/mml:math><\/span><\/span><span class=\"T400\">.<\/span><\/p><h3 class=\"Overskrift3\"><span id=\"_Toc446074438\"\/><span>Regel 5 - Partiel integration<\/span><\/h3><p class=\"Normal\"><span>For funktioner f og g med stamfunktion G g\u00e6lder at:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"left\"><mml:mrow><mml:munderover><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:munderover><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mi>b<\/mml:mi><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mi>a<\/mml:mi><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>-<\/mml:mo><mml:mrow><mml:munderover><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:munderover><mml:mrow><mml:msup><mml:mrow><mml:mi>f<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>'<\/mml:mi><\/mml:mrow><\/mml:msup><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>G<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T401\">&#x200b;&#x200b;&nbsp;<\/span><\/p><h1 class=\"Overskrift1\"><span id=\"_Toc446074439\"\/><span>Arealberegninger<\/span><\/h1><p class=\"P402\"><span>Handler om at finde arealet for vilk\u00e5rlige funktioner, uden at deres grafiske placering i forhold til hinanden har nogen betydning.<\/span>&#x200b;&#x200b;&nbsp;<span>Vi foruds\u00e6tter at vi har de to funktioner f(x) og g(x). F\u00f8rst findes arealet fra f og ned til x-aksen s\u00e5ledes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P403\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>f<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>=<\/mml:mo><mml:mi>a<\/mml:mi><mml:mi>r<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>a<\/mml:mi><mml:mi>l<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>t<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>u<\/mml:mi><mml:mi>n<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>r<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>f<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>n<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>t<\/mml:mi><mml:mi>i<\/mml:mi><mml:mi>l<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>a<\/mml:mi><mml:mi>k<\/mml:mi><mml:mi>s<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T404\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P405\"><span>Dern\u00e6st findes arealet fra g og ned til x-aksen:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P406\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>g<\/mml:mi><mml:mo>(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>=<\/mml:mo><mml:mi>a<\/mml:mi><mml:mi>r<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>a<\/mml:mi><mml:mi>l<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>t<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>u<\/mml:mi><mml:mi>n<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>r<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>g<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>n<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>d<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>t<\/mml:mi><mml:mi>i<\/mml:mi><mml:mi>l<\/mml:mi><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mi>a<\/mml:mi><mml:mi>k<\/mml:mi><mml:mi>s<\/mml:mi><mml:mi>e<\/mml:mi><mml:mi>n<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T407\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P408\"><span>Alts\u00e5 kan arealet mellem f og g findes ved at tr\u00e6kke g fra f, og<\/span>&#x200b;&#x200b;&nbsp;<span>hoveds\u00e6tningen for arealbestemmelse hedder<\/span>&#x200b;&#x200b;&nbsp;<span>da:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P409\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T410\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P411\"><span>Dette illustreres i f\u00f8lgende figur:<\/span><\/p><p class=\"P412\"><span class=\"T413\"><span><img src=\"data:image\/png;base64,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\" style=\"z-index: 100;width: 2.77083in;height: 2.3125in;width: 2.77083in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"P414\"><span>Det kan dog forekomme at den ene(f(x)) er positiv, mens den anden(g(x)) er negativ. I s\u00e5 fald er det<\/span>&#x200b;&#x200b;&nbsp;<span>umiddelbart<\/span>&#x200b;&#x200b;&nbsp;<span>n\u00f8dvendigt at forskyde graferne ved at l\u00e6gge et meget stor tal til, s\u00e5ledes at de begge er positive.<\/span>&#x200b;&#x200b;&nbsp;<span>S\u00e5ledes f\u00e5r man i stedet f+k og g+k, hvor c er en konstant. Arealet bliver nu lig med:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P415\">&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><mml:mo>-<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>+<\/mml:mo><mml:mi>k<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><\/p><p class=\"P416\"><span>Men det ses nu, at man blot kan fjerne de to k, da disse g\u00e5r ud med hinanden,<\/span>&#x200b;&#x200b;&nbsp;<span>og alts\u00e5 ender man igen ude med:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P417\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T418\">&#x200b;&#x200b;&nbsp;<\/span><\/p><p class=\"P419\"><span>Det vil sige at man altid bare kan tage integralet der ligger \u00f8verst minus integralet der ligger nederst.<\/span><\/p><h4 class=\"Overskrift4\"><span>Eksempel<\/span><\/h4><p class=\"P420\"><span>Som eksempel p\u00e5 brugen af dette, vil vi bestemme<\/span>&#x200b;&#x200b;&nbsp;<span>arealet begr\u00e6nset af <\/span>&#x200b;&#x200b;&nbsp;<span>f(x) = x<\/span><span class=\"T421\">2<\/span>&#x200b;&#x200b;&nbsp;<span>- 4 og x-aksen. Det ses at vi har et toppunkt i -4.<\/span><\/p><p class=\"P422\"><span>Toppunkt = -4<\/span><\/p><p class=\"P423\"><span>Vi s\u00e6tter<\/span>&#x200b;&#x200b;&nbsp;<span>x<\/span><span class=\"T424\">2<\/span>&#x200b;&#x200b;&nbsp;<span>- 4<\/span>&#x200b;&#x200b;&nbsp;<span>lig 0:<\/span><\/p><p class=\"P425\"><span>x<\/span><span class=\"T426\">2<\/span>&#x200b;&#x200b;&nbsp;<span>- 4 = 0<\/span><\/p><p class=\"P427\"><span>X isoleres:<\/span><\/p><p class=\"P428\"><span>x = \u00b1 2<\/span><\/p><p class=\"P429\"><span>Areal kan s\u00e5 beregnes:<\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"P430\"><span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\" display=\"block\" indentalign=\"center\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mn>0<\/mml:mn><mml:mo>-<\/mml:mo><\/mml:mrow><\/mml:mrow><mml:mi mathvariant=\"normal\">\u00a0<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>4<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><mml:mo>=<\/mml:mo><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>+<\/mml:mo><mml:mn>4<\/mml:mn><mml:mi mathvariant=\"normal\">d<\/mml:mi><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mfenced open=\"[\" close=\"]\" separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>4<\/mml:mn><mml:mi mathvariant=\"normal\">x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mtable><mml:mtr><mml:mtd><mml:mn>2<\/mml:mn><\/mml:mtd><\/mml:mtr><mml:mtr><mml:mtd><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mtd><\/mml:mtr><\/mml:mtable><mml:mo>=<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:msup><mml:mrow><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msup><mml:mo>-<\/mml:mo><mml:mn>4<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:mfrac><mml:mrow><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:mfrac><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:msup><mml:mrow><mml:mn>2<\/mml:mn><\/mml:mrow><mml:mrow><mml:mn>3<\/mml:mn><\/mml:mrow><\/mml:msup><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mn>4<\/mml:mn><mml:mi mathvariant=\"normal\">*<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mo>-<\/mml:mo><mml:mn>2<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:mfenced><mml:mo>=<\/mml:mo><mml:mn>10,67<\/mml:mn><\/mml:math><\/span><\/span>&#x200b;&#x200b;&nbsp;<\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074440\"\/><span>Arealbestemmelse i Maple<\/span><\/h2><p class=\"P431\"><span>Maple kan naturligvis ogs\u00e5 hj\u00e6lpe os med at bestemme arealet, ligesom at den kan hj\u00e6lpe os med at tegne grafen.<\/span>&#x200b;&#x200b;&nbsp;<span>Et eksempel p\u00e5 dette kunne v\u00e6re, at vi skulle bestemme<\/span>&#x200b;&#x200b;&nbsp;<span>arealet begr\u00e6nset af f(x) = x<\/span><span class=\"T432\">2<\/span>&#x200b;&#x200b;&nbsp;<span>+ 2 og g(x) = 4x + 2. Vi ved s\u00e5, at begr\u00e6nsningerne opst\u00e5r der hvor graferne m\u00f8der hinanden,<\/span>&#x200b;&#x200b;&nbsp;<span>og<\/span>&#x200b;&#x200b;&nbsp;<span>derfor skal vi<\/span>&#x200b;&#x200b;&nbsp;<span>f\u00f8rst<\/span>&#x200b;&#x200b;&nbsp;<span>finde sk\u00e6ringspunkterne mellem de to grafer, ved at s\u00e6tte dem lig med hinanden<\/span><\/p><p class=\"Normal\"><span>Sk\u00e6ringspunkterne mellem f og g<\/span>&#x200b;&#x200b;&nbsp;<span>finder jeg s\u00e5ledes.<\/span><\/p><p class=\"Normal\"><span>x<\/span><span class=\"T433\">2<\/span>&#x200b;&#x200b;&nbsp;<span>+ 2 = 4x + 2<\/span><\/p><p class=\"Normal\"><span>x<\/span><span class=\"T434\">2<\/span>&#x200b;&#x200b;&nbsp;<span>= 4x<\/span><\/p><p class=\"Normal\"><span>Sk\u00e6ringspunkterne bliver s\u00e5<\/span>&#x200b;&#x200b;&nbsp;<span>x = 4 v x = 0, da 4<\/span><span class=\"T435\">2<\/span>&#x200b;&#x200b;&nbsp;<span>og 4*4 begge giver 16, mens 0<\/span><span class=\"T436\">2<\/span>&#x200b;&#x200b;&nbsp;<span>og 4*0 begge giver 0.<\/span><\/p><p class=\"Normal\"><span>Nu kan vi s\u00e5 benytte Maple<\/span>&#x200b;&#x200b;&nbsp;<span>til at finde arealet ved at g\u00f8re som angivet herunder.<\/span><\/p><p class=\"Normal\"><span class=\"T437\"><span><img 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\" style=\"z-index: 100;width: 5.36897in;height: 3.58846in;width: 5.36897in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"Normal\"><span>\u00a0<\/span><span class=\"T438\"><span><img src=\"data:image\/png;base64,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\" style=\"z-index: 100;width: 5.38169in;height: 0.9048in;width: 5.38169in;display: inline;\" title=\"\" alt=\"Computergenereret alternativ tekst: r4&#10;J g(x) &#x2014;f(x)&#10;o&#10;32&#10;3\"\/><\/span><\/span><\/p><h2 class=\"Overskrift2\"><span id=\"_Toc446074441\"\/><span>Opgaver til arealbestemmelse<\/span><\/h2><p class=\"P439\"><span class=\"T440\">Lad&#x200b;&#x200b;&nbsp;<\/span><span class=\"T441\"><span><img src=\"data:image\/ObjectReplacements\/Object 97;base64,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\" style=\"z-index: 100;width: 2in;height: 0.23958in;width: 2in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><span class=\"T442\">&#x200b;&#x200b;&nbsp;og lad g(x) v\u00e6re det approksimerende f\u00f8rstegra<\/span><span class=\"T443\">dspolynomium( eller tangenten)&#x200b;&#x200b;&nbsp;<\/span><span class=\"T444\">til f i punktet (0,f(0)).<\/span><span class=\"T445\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T446\">Lad desuden<\/span><span class=\"T447\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T448\"><span><img src=\"data:image\/ObjectReplacements\/Object 98;base64,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\" style=\"z-index: 100;width: 0.96875in;height: 0.20833in;width: 0.96875in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><span class=\"T449\">.<\/span><span class=\"T450\">&#x200b;&#x200b;&nbsp;<\/span><span class=\"T451\">Beregn arealet af omr\u00e5det begr\u00e6nset af funktionerne f, g og h.<\/span><\/p><p class=\"Normal\"><span>Her v\u00e6lger jeg igen at benytte Maple, hvor jeg f\u00f8rst finder ligningen for g(x), hvilket ser ud som herunder.<\/span><\/p><p class=\"Normal\"><span class=\"T452\"><span><img 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\" style=\"z-index: 100;width: 6.01645in;height: 2.86839in;width: 6.01645in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"Normal\"><span>Dern\u00e6st kan jeg lave et plot af de tre grafer f(x), g(x) og h(x).<\/span><\/p><p class=\"Normal\"><span class=\"T454\"><span><img src=\"data:image\/tmp;base64,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\" style=\"z-index: 100;width: 6.3677in;height: 3.07219in;width: 6.3677in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p class=\"Normal\"><span>Nu skal jeg s\u00e5 finde sk\u00e6ringspunkterne for graferne.<\/span><\/p><p class=\"Normal\"><span class=\"T455\"><span><img 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\" style=\"z-index: 100;width: 6.69306in;height: 1.6625in;width: 6.69306in;display: inline;\" title=\"\" alt=\"\"\/><\/span><\/span><\/p><p xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"Normal\"><span>Hern\u00e6st benytter jeg reglen<\/span>&#x200b;&#x200b;&nbsp;<span><span xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" class=\"doxMathFormula\"><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" xmlns:m=\"http:\/\/schemas.openxmlformats.org\/officeDocument\/2006\/math\"><mml:mrow><mml:msubsup><mml:mo stretchy=\"false\">\u222b<\/mml:mo><mml:mrow><mml:mi>a<\/mml:mi><\/mml:mrow><mml:mrow><mml:mi>b<\/mml:mi><\/mml:mrow><\/mml:msubsup><mml:mrow><mml:mi>f<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mo>-<\/mml:mo><mml:mi>g<\/mml:mi><mml:mfenced separators=\"|\"><mml:mrow><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mfenced><mml:mi>d<\/mml:mi><mml:mi>x<\/mml:mi><\/mml:mrow><\/mml:mrow><\/mml:math><\/span><\/span><span class=\"T456\">.<\/span><span class=\"T457\">&#x200b;&#x200b;&nbsp;Da det fremg\u00e5r af den grafiske pr\u00e6sentation, at jeg er n\u00f8dt til at inddele arealet i tre forskellige dele, og jeg kan s\u00e5 til sidst l\u00e6gge arealet af disse sammen, for derved at f\u00e5 det samlede areal.<\/span><\/p><p class=\"Normal\"><span class=\"T458\"><span><img 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\" 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