{"id":365,"date":"2019-10-24T11:51:47","date_gmt":"2019-10-24T15:51:47","guid":{"rendered":"http:\/\/sites.nd.edu\/math-digital-resources\/?page_id=365"},"modified":"2019-10-24T11:55:31","modified_gmt":"2019-10-24T15:55:31","slug":"improper-integrals","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/math-digital-resources\/calculus-ii-10560-digital-resources\/approximating-integrals-and-applications\/improper-integrals\/","title":{"rendered":"Improper Integrals"},"content":{"rendered":"<p>Integrals from a to infinity<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/ffzVh_Uwhx0\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nIntegrals from -infinity to a<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/OZqTJwInh_4\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nIntegrals from -infinity to infinity<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/et6EOMS8_0k\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nIntegral of 1 over x to the p<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/SD3O-uLcS90\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nInfinite Discontinuity Example 1<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/v6NQ3H8h-y0\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nInfinite Discontinuity Example 2<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/fymKgpF0kes\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nInfinite Discontinuity Example 3<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/a0h3mXl13e0\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nComparison Test<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/hFV7iJct1wU\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nExample 1<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/5YsR3PkmnFE\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nExample 2<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/ubqcNP7LCRA\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nExample 3<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/LWCroZ8Q6jY\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nExample 4<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/anlDPMxHJUQ\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nExample 5<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/-40mSGvCwjs\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<br \/>\nExample 6<br \/>\n\n<!-- iframe plugin v.6.0 wordpress.org\/plugins\/iframe\/ -->\n<iframe loading=\"lazy\" width=\"560\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/v-01XvEx0KI\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" 0=\"allowfullscreen&gt;\" scrolling=\"yes\" class=\"iframe-class\"><\/iframe>\n<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Integrals from a to infinity Integrals from -infinity to a Integrals from -infinity to infinity Integral of 1 over x to the p Infinite Discontinuity Example 1 Infinite Discontinuity Example 2 Infinite Discontinuity Example 3 Comparison Test Example 1 Example 2 Example 3 Example 4 Example 5 Example 6<\/p>\n","protected":false},"author":3538,"featured_media":0,"parent":361,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-365","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/pages\/365","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/users\/3538"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/comments?post=365"}],"version-history":[{"count":3,"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/pages\/365\/revisions"}],"predecessor-version":[{"id":368,"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/pages\/365\/revisions\/368"}],"up":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/pages\/361"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/math-digital-resources\/wp-json\/wp\/v2\/media?parent=365"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}