{"id":154878,"date":"2022-03-26T00:01:25","date_gmt":"2022-03-25T18:31:25","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/integral-calculus\/"},"modified":"2022-12-31T15:32:23","modified_gmt":"2022-12-31T10:02:23","slug":"integral-calculus","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/integral-calculus\/","title":{"rendered":"Integral Calculus"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integral-calculus\/#Explain_in_Detail_Categories_of_Integration_Calculus\" title=\"Explain in Detail :Categories of Integration Calculus\">Explain in Detail :Categories of Integration Calculus<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integral-calculus\/#Definite_Integral\" title=\"Definite Integral\">Definite Integral<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integral-calculus\/#Indefinite_Integral\" title=\"Indefinite Integral\">Indefinite Integral<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integral-calculus\/#The_Uses_of_Integral_Calculus\" title=\"The Uses of Integral Calculus\">The Uses of Integral Calculus<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/integral-calculus\/#Integration_Calculus_Examples\" title=\"Integration Calculus Examples\">Integration Calculus Examples<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Explain_in_Detail_Categories_of_Integration_Calculus\"><\/span>Explain in Detail :Categories of Integration Calculus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three main categories of integration calculus: definite integrals, indefinite integrals, and the Fundamental Theorem of Calculus.<\/p>\n<p>Definite integrals involve finding the area under a curve on a given interval. Indefinite integrals involve finding the integral of a given function, but do not specify an interval. The Fundamental Theorem of Calculus relates the definite and indefinite integrals, and shows that the area under a curve is the same as the integral of the function over the interval.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-154877 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/integral-calculus.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/integral-calculus.jpg?v=1648233083 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/integral-calculus-300x212.jpg?v=1648233083 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Definite_Integral\"><\/span>Definite Integral<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The definite integral of a function is the limit, as the number of partitions goes to infinity, of the sum of the products of the function values and the lengths of the partitions.<\/p>\n<p>The definite integral of a function can also be computed by using the Fundamental Theorem of Calculus.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Indefinite_Integral\"><\/span>Indefinite Integral<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An indefinite integral is an integral in which the limits of integration are not specified.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Uses_of_Integral_Calculus\"><\/span>The Uses of Integral Calculus<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Integral calculus is a powerful tool for solving problems in physics and engineering. It can be used to find the volume or surface area of a three-dimensional object, or to calculate the speed and position of an object over time. Additionally, integral calculus can be used to find the most efficient path between two points or to optimize a system&#8217;s performance.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Integration_Calculus_Examples\"><\/span>Integration Calculus Examples<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following are integration calculus examples:<\/p>\n<p>1) Integrate x2 from 0 to 3.<\/p>\n<p>The integral of x2 is x3\/3.<\/p>\n<p>2) Integrate x3 from 0 to 1.<\/p>\n<p>The integral of x3 is x4\/4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Explain in Detail :Categories of Integration Calculus There are three main categories of integration calculus: definite integrals, indefinite integrals, and [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Integral Calculus","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Integral Calculus topic of Maths in details explained by subject experts on infinitylearn.com. 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