{"id":1085,"date":"2013-01-15T12:39:26","date_gmt":"2013-01-15T18:39:26","guid":{"rendered":"http:\/\/blogs.acu.edu\/jee99a\/?page_id=1085"},"modified":"2013-01-15T13:00:55","modified_gmt":"2013-01-15T19:00:55","slug":"integration-by-parts","status":"publish","type":"page","link":"https:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/integration-by-parts\/","title":{"rendered":"Integration by Parts"},"content":{"rendered":"<p><div class='et-box et-shadow'>\n\t\t\t\t\t<div class='et-box-content'>\u00a0<strong>Description<\/strong>: In this lecture we introduce (or review for some of you) the integration by parts method for evaluating both indefinite and definite integrals. Recall, that &#8220;parts&#8221; is the integration technique which reverses product rule for derivatives. \u00a0We will use integration by parts as a tool to obtain reduction formula for integrals similar to those in the back of your text. \u00a0Finally, we consider the idea of tabular integration to automate the integration by parts process for problems requiring many rounds of parts substitution. \u00a0<\/div><\/div><em>\u00a0<\/em><\/p>\n\n\t\t\t<div class='tabs-left et_sliderfx_slide et_sliderauto_false et_sliderauto_speed_5000 et_slidertype_left_tabs clearfix'>\n\t\t\t\t<div class='et_left_tabs_bg'><\/div>\n\t\t\t\t<ul class='et-tabs-control'>\n\t\t\t<li><a href='#'>\n\t\t\tReadings\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tHomework\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tLecture Notes\n\t\t<\/a><\/li>\n\t\t<\/ul> <!-- .et-tabs-control --> \n\t\t<div class='et-tabs-content'>\n\t\t\t<div class='et-tabs-content-main-wrap'>\n\t\t\t\t<div class='et-tabs-content-wrapper'>\n\t\t\t\t\t<div class='et_slidecontent'>\n\t\t\tSection 5.5 p.375-382\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\tSection 5.6 Practice Problems: \u00a0# 9-22, 25-26, 36-40, 41-42 (use tabular integration)\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t\u00a0<a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2013\/01\/S13_186_Lecture03.pdf\">Integration by Parts<\/a>\u00a0\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t<\/div> <!-- .tabs-left -->\n<p>&nbsp;<\/p>\n<h3>Video Tutorials<\/h3>\n<p><iframe loading=\"lazy\" title=\"Integration by Parts I.mp4\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/gAGWpx5bG-k?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><iframe loading=\"lazy\" title=\"Integration by Parts 2.mp4\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/d0dDplbZ_wI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<a href='http:\/\/blogs.acu.edu\/jee99a\/courses\/calculus-ii\/trigonometric-integrals\/?submit=Go' class='small-button smallsilver'>Trigonometric Integrals \u00bb \u00a0<\/a>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 &nbsp; Video Tutorials &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<\/p>\n","protected":false},"author":130,"featured_media":0,"parent":96,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1085","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/1085","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/comments?post=1085"}],"version-history":[{"count":8,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/1085\/revisions"}],"predecessor-version":[{"id":1105,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/1085\/revisions\/1105"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/96"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/media?parent=1085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}