{"id":5900,"date":"2025-08-18T11:07:46","date_gmt":"2025-08-18T05:37:46","guid":{"rendered":"https:\/\/study.madeeasy.in\/?p=5900"},"modified":"2025-08-18T11:07:46","modified_gmt":"2025-08-18T05:37:46","slug":"definite-integrals","status":"publish","type":"post","link":"https:\/\/www.madeeasy.in\/study\/ee\/calculus-and-differeential-equations\/definite-integrals","title":{"rendered":"Definite Integrals"},"content":{"rendered":"<p>If \u222b<sub>a<\/sub><sup>b\u00a0 <\/sup>f(x)dx = [F(x)]<sub>a<\/sub><sup>b\u00a0 <\/sup>= F(b) \u2013 F(a) is called the definite integral of f(x) between the limits of a and b.<\/p>\n<p style=\"text-align: center;\">b \u2192 upper limit; a \u2192 lower limit.<\/p>\n<h2>Fundamental Properties of Definite Integrals<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-5901 size-full\" src=\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2025\/08\/integrals.jpg\" alt=\"Definite Integrals\" width=\"540\" height=\"542\" srcset=\"https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/08\/integrals.jpg 540w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/08\/integrals-300x300.jpg 300w, https:\/\/www.madeeasy.in\/study\/wp-content\/uploads\/2025\/08\/integrals-150x150.jpg 150w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>If \u222bab\u00a0 f(x)dx = [F(x)]ab\u00a0 = F(b) \u2013 F(a) is called the definite integral of f(x) between the limits of<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1733,5],"tags":[1748,1750,1749],"class_list":["post-5900","post","type-post","status-publish","format-standard","hentry","category-calculus-and-differeential-equations","category-ee","tag-definite-integrals","tag-fundamental-properties-of-definite-integrals","tag-interchanging-limits"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5900","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=5900"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/5900\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=5900"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=5900"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=5900"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}