{"id":678,"date":"2021-04-28T10:02:15","date_gmt":"2021-04-28T08:02:15","guid":{"rendered":"https:\/\/mxth.dk\/?p=678"},"modified":"2026-04-09T22:13:46","modified_gmt":"2026-04-09T20:13:46","slug":"areal-mellem-kurver","status":"publish","type":"post","link":"https:\/\/mxth.dk\/?p=678","title":{"rendered":"Areal mellem kurver"},"content":{"rendered":"\n<p class=\" eplus-wrapper\">Vi skal her se p\u00e5, hvordan man beregner arealet som afgr\u00e6nses af to funktioner. Her benyttes, at <\/p>\n\n\n\n<p class=\"has-text-align-center eplus-wrapper\"><img decoding=\"async\" src=\"https:\/\/s0.wp.com\/latex.php?latex=%5Cint_%7Ba%7D%5E%7Bb%7D+f%28x%29-g%28x%29%5C%2Cdx&#038;bg=ffffff&#038;fg=000&#038;s=0&#038;c=20201002\" alt=\"&#92;int_{a}^{b} f(x)-g(x)&#92;,dx\" class=\"latex\" \/><\/p>\n\n\n\n<p class=\" eplus-wrapper\">hvor f(x) i formlen repr\u00e6senterer den \u00f8verste funktion og g(x) den nederste, og derved ikke n\u00f8dvendigvis er navnet p\u00e5 funktionen i opgaverne. <\/p>\n\n\n\n<p class=\" eplus-wrapper\">Herunder er der en video som gennemg\u00e5r beviset for arealet mellem to kurver<\/p>\n\n\n\n<figure class=\"wp-embed-aspect-16-9 wp-has-aspect-ratio wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube eplus-wrapper\"><div class=\"wp-block-embed__wrapper\">\n<span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/Y6y4OMzLcWA?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=da-DK&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span>\n<\/div><\/figure>\n\n\n\n<table width=\"100%\" border=\"1\">\n    <thead>\n        <tr>\n            <th scope=\"col\" bgcolor=\"#3CB371\">Gr\u00f8n<\/th>\n            <th scope=\"col\" bgcolor=\"#FFA500\">Gul<\/th>\n            <th scope=\"col\" bgcolor=\"#DC143C\">R\u00f8d<\/th>\n        <\/tr>\n    <\/thead>\n        <tbody>\n        <tr>\n            <td>\n                <p><b>Opgave 10.25<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14221\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14221<\/a><\/p>\n            <\/td>\n            <td>\n                <p><b>Opgave 10.26<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14222\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14222<\/a><\/p>\n            <\/td>\n            <td>\n                <p><b>Opgave 10.37<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14463\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14463<\/a><\/p>\n            <\/td>\n        <\/tr>\n        <tr>\n            <td><\/td>\n            <td>\n                <p><b>Opgave 10.29<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14480\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14480<\/a><\/p>\n            <\/td>\n            <td><\/td>\n        <\/tr>\n        <tr>\n            <td><\/td>\n            <td>\n                <p><b>Opgave 10.30<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14483\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14483<\/a><\/p>\n            <\/td>\n            <td><\/td>\n        <\/tr>\n        <tr>\n            <td><\/td>\n            <td>\n                <p><b>Opgave 10.31<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14459\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14459<\/a><\/p>\n            <\/td>\n            <td><\/td>\n        <\/tr>\n        <tr>\n            <td><\/td>\n            <td>\n                <p><b>Opgave 10.35<\/b><\/p>\n                <p><a href=\"https:\/\/matbhtx.systime.dk\/?id=c14245\" target=\"_blank\" rel=\"noopener\">https:\/\/matbhtx.systime.dk\/?id=c14245<\/a><\/p>\n            <\/td>\n            <td><\/td>\n        <\/tr>\n    <\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"<p>Vi skal her se p\u00e5, hvordan man beregner arealet som afgr\u00e6nses af to funktioner. Her benyttes, at hvor f(x) i formlen repr\u00e6senterer den \u00f8verste funktion og g(x) den nederste, og derved ikke n\u00f8dvendigvis er navnet p\u00e5 funktionen i opgaverne. Herunder er der en video som gennemg\u00e5r beviset for arealet mellem to kurver Gr\u00f8n Gul R\u00f8d [&hellip;]<\/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":[13,3,4],"tags":[],"class_list":["post-678","post","type-post","status-publish","format-standard","hentry","category-integralregning","category-matematik","category-opgave"],"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\/678","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=678"}],"version-history":[{"count":6,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/678\/revisions"}],"predecessor-version":[{"id":2042,"href":"https:\/\/mxth.dk\/index.php?rest_route=\/wp\/v2\/posts\/678\/revisions\/2042"}],"wp:attachment":[{"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=678"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=678"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mxth.dk\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}