{"id":2806,"date":"2023-11-01T12:50:59","date_gmt":"2023-11-01T11:50:59","guid":{"rendered":"https:\/\/mxth.dk\/?p=2806"},"modified":"2026-04-09T22:25:30","modified_gmt":"2026-04-09T20:25:30","slug":"integralregning-bestemte-integraler","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=2806","title":{"rendered":"Integralregning &#8211; bestemte integraler"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Opgaver<\/p>\n\n\n\n<div class=\"wp-block-kadence-accordion alignnone\"><div class=\"kt-accordion-wrap kt-accordion-id2806_d7b931-ac kt-accordion-has-3-panes kt-active-pane-0 kt-accordion-block kt-pane-header-alignment-left kt-accodion-icon-style-basic kt-accodion-icon-side-right\" style=\"max-width:none\"><div class=\"kt-accordion-inner-wrap\" data-allow-multiple-open=\"false\" data-start-open=\"none\">\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-1 kt-pane2806_c8ea9d-44\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">INTBI001<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Bestem f\u00f8lgende bestemte integraler<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-c4adec\">\n<li class=\" eplus-wrapper\">\\(\\int_1^4 \\frac{3}{x^2}dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_0^3 \\sqrt{x} dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_0^1 x^{99} dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_1^5 \\frac{1}{\\sqrt{x}}dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_{-1}^0 x^{99} dx\\)<\/li>\n<\/ol><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-2 kt-pane2806_af16a1-38\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">INTBI002<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Bestem f\u00f8lgende bestemte integraler<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-2dab7c\">\n<li class=\" eplus-wrapper\">\\(\\int_{-1}^1 x^{99} dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_{-3}^2 x+2 dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_0^{2\\pi} sin(x) dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_0^\\pi tan{x} dx\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(\\int_0^2 x^2-3x+2 dx\\)<\/li>\n<\/ol><\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-kadence-pane kt-accordion-pane kt-accordion-pane-3 kt-pane2806_9e0e73-7e\"><div class=\"kt-accordion-header-wrap\"><button class=\"kt-blocks-accordion-header kt-acccordion-button-label-show\"><span class=\"kt-blocks-accordion-title-wrap\"><span class=\"kt-blocks-accordion-title\">INTBI003<\/span><\/span><span class=\"kt-blocks-accordion-icon-trigger\"><\/span><\/button><\/div><div class=\"kt-accordion-panel kt-accordion-panel-hidden\"><div class=\"kt-accordion-panel-inner\">\n<p class=\" eplus-wrapper\">Bestem arealet mellem f\u00f8lgende s\u00e6t af funktioner<\/p>\n\n\n<ol class=\"eplus-wrapper wp-block-list eplus-styles-uid-56ebc0\">\n<li class=\" eplus-wrapper\">\\(f(x)=x+1\\) og \\(g(x)=x^2-2x+1\\) i intervallet fra \\([0; 3]\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(f(x)=0,5x+2\\) og \\(g(x)=2x\\) i intervallet fra \\([0; \\frac{4}{3}]\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(f(x)=x\\) og \\(g(x)=\\sqrt{x}\\) i intervallet fra \\([0; 1]\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(f(x)=x^2-2x+2\\) og \\(g(x)=-x^2+2x+2\\) i intervallet fra \\([0;2]\\)<\/li>\n\n\n\n<li class=\" eplus-wrapper\">\\(f(x)=sin(x)\\) og \\(g(x)=cos(x)\\) i intervallet fra \\([\\frac{\\pi}{4}; \\frac{5\\pi}{4}]\\)<\/li>\n<\/ol><\/div><\/div><\/div>\n<\/div><\/div><\/div>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n\n\n\n<p class=\" eplus-wrapper\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Opgaver<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ub_ctt_via":"","editor_plus_copied_stylings":"{}","_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2806","post","type-post","status-publish","format-standard","hentry","category-matematik"],"featured_image_src":null,"author_info":{"display_name":"Henriksen","author_link":"https:\/\/mxth.dk\/?author=1"},"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2806","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2806"}],"version-history":[{"count":3,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2806\/revisions"}],"predecessor-version":[{"id":2809,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/2806\/revisions\/2809"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2806"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2806"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2806"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}