{"id":1726,"date":"2022-04-02T21:46:13","date_gmt":"2022-04-02T21:46:13","guid":{"rendered":"https:\/\/mystudentlink.net\/instruction\/?page_id=1726"},"modified":"2025-11-30T01:05:31","modified_gmt":"2025-11-30T01:05:31","slug":"section-5-3-the-definite-integral","status":"publish","type":"page","link":"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/","title":{"rendered":"Section-5.3-The-Definite-Integral"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1726\" class=\"elementor elementor-1726\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f8f0183 elementor-section-full_width elementor-section-stretched elementor-section-height-default elementor-section-height-default\" data-id=\"f8f0183\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;stretch_section&quot;:&quot;section-stretched&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9fe20c5\" data-id=\"9fe20c5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b09ccd5 elementor-widget elementor-widget-text-editor\" data-id=\"b09ccd5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4 style=\"text-align: center;\"><span style=\"color: #3366ff;\">5.3 Definite Integrals<\/span><\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-37f6be9 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"37f6be9\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-2dac545\" data-id=\"2dac545\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ad30b49 elementor-widget elementor-widget-text-editor\" data-id=\"ad30b49\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1233\">Prob-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-2db98b8\" data-id=\"2db98b8\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c980d6c elementor-widget elementor-widget-text-editor\" data-id=\"c980d6c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1832\">Prob-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-55fd614\" data-id=\"55fd614\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-68ad786 elementor-widget elementor-widget-text-editor\" data-id=\"68ad786\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1833\">Prob-3<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-f3e6e7d\" data-id=\"f3e6e7d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ccb039f elementor-widget elementor-widget-text-editor\" data-id=\"ccb039f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1834\">Prob-4<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-637625d elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"637625d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-3d17e3f\" data-id=\"3d17e3f\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f33bb29 elementor-widget elementor-widget-text-editor\" data-id=\"f33bb29\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1835\">Prob-5<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-b089d19\" data-id=\"b089d19\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-901b5a0 elementor-widget elementor-widget-text-editor\" data-id=\"901b5a0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1836\">Prob-6<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-32372c2\" data-id=\"32372c2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b76c591 elementor-widget elementor-widget-text-editor\" data-id=\"b76c591\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1837\">Prob-7<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-9bfb650\" data-id=\"9bfb650\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9c18211 elementor-widget elementor-widget-text-editor\" data-id=\"9c18211\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1838\">Prob-8<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-65bf38d elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"65bf38d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-26a4357\" data-id=\"26a4357\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1b2eace elementor-widget elementor-widget-text-editor\" data-id=\"1b2eace\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1839\">Prob-9<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-b87d688\" data-id=\"b87d688\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1a97329 elementor-widget elementor-widget-text-editor\" data-id=\"1a97329\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1840\">Prob-10<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-260a2dc\" data-id=\"260a2dc\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bca5930 elementor-widget elementor-widget-text-editor\" data-id=\"bca5930\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=1841\">Prob-11<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-ad0e097\" data-id=\"ad0e097\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fcc0761 elementor-widget elementor-widget-text-editor\" data-id=\"fcc0761\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-13-section-5-3-definite-integrals\/\">Prob-13<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-39e497a elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"39e497a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-db60041\" data-id=\"db60041\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-97e362e elementor-widget elementor-widget-text-editor\" data-id=\"97e362e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-21-section-5-3-definite-integrals-part-1\/\">Prob-21-Part-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-a4f0a98\" data-id=\"a4f0a98\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-40c03dd elementor-widget elementor-widget-text-editor\" data-id=\"40c03dd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-21-section-5-3-definite-integrals-part-2\/\">Prob-21-Part-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-003a79c\" data-id=\"003a79c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-375b24e elementor-widget elementor-widget-text-editor\" data-id=\"375b24e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-22-section-5-3-definite-integrals-part-1\/\">Prob-22-Part-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-fd939b9\" data-id=\"fd939b9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5604718 elementor-widget elementor-widget-text-editor\" data-id=\"5604718\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-22-section-5-3-definite-integrals-part-2\/\">Prob-22-Part-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9e2415f elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"9e2415f\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-6178b57\" data-id=\"6178b57\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-228f51b elementor-widget elementor-widget-text-editor\" data-id=\"228f51b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-33-section-5-3-definite-integrals\/\">Prob-33<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-a057d7c\" data-id=\"a057d7c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4cd0ef9 elementor-widget elementor-widget-text-editor\" data-id=\"4cd0ef9\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-42-section-5-3-definite-integrals\/\">Prob-42<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-43fa2b5\" data-id=\"43fa2b5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0f159a0 elementor-widget elementor-widget-text-editor\" data-id=\"0f159a0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-45-section-5-3-definite-integrals\/\">Prob-45<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-21e512d\" data-id=\"21e512d\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c6100bd elementor-widget elementor-widget-text-editor\" data-id=\"c6100bd\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-57-part-1-section-5-3-definite-integrals\/\">Prob-57-Part-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-51da2ae elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"51da2ae\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-727e958\" data-id=\"727e958\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-99db66a elementor-widget elementor-widget-text-editor\" data-id=\"99db66a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-57-part-2-section-5-3-definite-integrals\/\">Prob-57-Part-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-22cdc6e\" data-id=\"22cdc6e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2626800 elementor-widget elementor-widget-text-editor\" data-id=\"2626800\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-59-section-5-3-definite-integrals-part-1\/\">Prob-59-Part-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-e6cdaee\" data-id=\"e6cdaee\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b7364d6 elementor-widget elementor-widget-text-editor\" data-id=\"b7364d6\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-59-section-5-3-definite-integrals-part-2\/\">Prob-59-Part-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-2080ee9\" data-id=\"2080ee9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8d77c9b elementor-widget elementor-widget-text-editor\" data-id=\"8d77c9b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-61-section-5-3-definite-integrals-part-1\/\">Prob-61-Part-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-283de2c elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"283de2c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-449db0e\" data-id=\"449db0e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-51a965f elementor-widget elementor-widget-text-editor\" data-id=\"51a965f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-61-section-5-3-definite-integrals-part-2\/\">Prob-61-Part-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-d899ac9\" data-id=\"d899ac9\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d492e17 elementor-widget elementor-widget-text-editor\" data-id=\"d492e17\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-61-section-5-3-definite-integrals-part-3\/\">Prob-61-Part-3<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-89c09e6\" data-id=\"89c09e6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-62823ad elementor-widget elementor-widget-text-editor\" data-id=\"62823ad\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-61-section-5-3-definite-integrals-part-4\/\">Prob-61-Part-4<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-01367a6\" data-id=\"01367a6\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e793187 elementor-widget elementor-widget-text-editor\" data-id=\"e793187\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-61-section-5-3-definite-integrals-part-5\/\">Prob-61-Part-5<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-3158f88 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"3158f88\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-6fd5e0a\" data-id=\"6fd5e0a\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d4ba003 elementor-widget elementor-widget-text-editor\" data-id=\"d4ba003\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-61-section-5-3-definite-integrals-part-6\/\">Prob-61-Part-6<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-3dde5e4\" data-id=\"3dde5e4\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bef328a elementor-widget elementor-widget-text-editor\" data-id=\"bef328a\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-71-section-5-3-definite-integrals-part-1\/\">Prob-71-Part-1<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-7674825\" data-id=\"7674825\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7d8be58 elementor-widget elementor-widget-text-editor\" data-id=\"7d8be58\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-71-section-5-3-definite-integrals-part-2\/\">Prob-71-Part-2<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-bebe8f5\" data-id=\"bebe8f5\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-72eab65 elementor-widget elementor-widget-text-editor\" data-id=\"72eab65\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-79-section-5-3-definite-integrals\/\">Prob-79<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b1ce2e6 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"b1ce2e6\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-b3541ea\" data-id=\"b3541ea\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-62aaa05 elementor-widget elementor-widget-text-editor\" data-id=\"62aaa05\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h5 style=\"text-align: center;\"><a href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/prob-88-section-5-3-definite-integrals\/\">Prob-88<\/a><\/h5>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-ba4636b\" data-id=\"ba4636b\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-d8e4c5c\" data-id=\"d8e4c5c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-25 elementor-top-column elementor-element elementor-element-b40b42c\" data-id=\"b40b42c\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ea8ef67 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ea8ef67\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-b6528dd\" data-id=\"b6528dd\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4a189a2 elementor-widget elementor-widget-text-editor\" data-id=\"4a189a2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h4><a href=\"https:\/\/mystudentlink.net\/instruction\/?page_id=105\"><span style=\"color: #0000ff;\">Back To Integrals<\/span><\/a><\/h4>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>5.3 Definite Integrals Prob-1 Prob-2 Prob-3 Prob-4 Prob-5 Prob-6 Prob-7 Prob-8 Prob-9 Prob-10 Prob-11 Prob-13 Prob-21-Part-1 Prob-21-Part-2 Prob-22-Part-1 Prob-22-Part-2 Prob-33 Prob-42 Prob-45 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":105,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/page_fullwidth.php","meta":{"nf_dc_page":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-1726","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Section-5.3-The-Definite-Integral - Calculus 1 Video Instruction Directory<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mystudentlink.net\/instruction\/elementor-19\/chap-5-integrals\/section-5-3-the-definite-integral\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" 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