{"id":410,"date":"2025-02-13T19:44:41","date_gmt":"2025-02-13T19:44:41","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/calculus2\/chapter\/integrals-involving-exponential-and-logarithmic-functions-apply-it\/"},"modified":"2025-02-13T19:44:41","modified_gmt":"2025-02-13T19:44:41","slug":"integrals-involving-exponential-and-logarithmic-functions-apply-it","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/calculus2\/chapter\/integrals-involving-exponential-and-logarithmic-functions-apply-it\/","title":{"raw":"Integrals Involving Exponential and Logarithmic Functions: Apply It","rendered":"Integrals Involving Exponential and Logarithmic Functions: Apply It"},"content":{"raw":"\n<section class=\"textbox learningGoals\">\n<ul>\n\t<li>Perform integrations on functions that include exponential terms<\/li>\n\t<li>Solve integrals that feature logarithmic functions<\/li>\n<\/ul>\n<\/section>\n<h2>Exponential and Logarithmic Integrals in the Real World<\/h2>\n<p>In this apply-it task, we'll explore how exponential and logarithmic integrals are used to solve real-world problems. From population growth to radioactive decay, from compound interest to sound intensity, these mathematical tools help us understand and predict various phenomena.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<p>[ohm_question hide_question_numbers=1]288342[\/ohm_question]<\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<p>[ohm_question hide_question_numbers=1]288343[\/ohm_question]<\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<p>[ohm_question hide_question_numbers=1]288344[\/ohm_question]<\/p>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<p>[ohm_question hide_question_numbers=1]288345[\/ohm_question]<\/p>\n<\/section>\n","rendered":"<section class=\"textbox learningGoals\">\n<ul>\n<li>Perform integrations on functions that include exponential terms<\/li>\n<li>Solve integrals that feature logarithmic functions<\/li>\n<\/ul>\n<\/section>\n<h2>Exponential and Logarithmic Integrals in the Real World<\/h2>\n<p>In this apply-it task, we&#8217;ll explore how exponential and logarithmic integrals are used to solve real-world problems. From population growth to radioactive decay, from compound interest to sound intensity, these mathematical tools help us understand and predict various phenomena.<\/p>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<iframe loading=\"lazy\" id=\"ohm288342\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=288342&theme=lumen&iframe_resize_id=ohm288342&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<iframe loading=\"lazy\" id=\"ohm288343\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=288343&theme=lumen&iframe_resize_id=ohm288343&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<iframe loading=\"lazy\" id=\"ohm288344\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=288344&theme=lumen&iframe_resize_id=ohm288344&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<section class=\"textbox tryIt\" aria-label=\"Try It\">\n<iframe loading=\"lazy\" id=\"ohm288345\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=288345&theme=lumen&iframe_resize_id=ohm288345&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n","protected":false},"author":6,"menu_order":11,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":399,"module-header":"","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/410"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":0,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/410\/revisions"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/parts\/399"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapters\/410\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/media?parent=410"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/pressbooks\/v2\/chapter-type?post=410"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/contributor?post=410"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/calculus2\/wp-json\/wp\/v2\/license?post=410"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}