{"id":6093,"date":"2024-05-22T15:26:37","date_gmt":"2024-05-22T13:26:37","guid":{"rendered":"https:\/\/ecodelmare.it\/2024\/05\/22\/evaluating-business-investments-6-2\/"},"modified":"2024-05-22T15:26:37","modified_gmt":"2024-05-22T13:26:37","slug":"evaluating-business-investments-6-2","status":"publish","type":"post","link":"https:\/\/ecodelmare.it\/en\/2024\/05\/22\/evaluating-business-investments-6-2\/","title":{"rendered":"evaluating business investments 6"},"content":{"rendered":"<p>calculus Evaluating $\\int_0^1 \\frac\\tan^-1x\\ln^2&#215;1+x\\,dx$ Mathematics Stack Exchange<\/p>\n<p>Stack Exchange network consists of 183 Q&amp;A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. I have an answer to this question(shared Q&amp;A style), but I am curious as to whether there is another way to evaluate the sum. I have been experimenting with double sums for a few weeks now, so many techniques to attack &#8220;simple&#8221; sums such as this would be much appreciated! Connect and share knowledge within a single location that is structured and easy to search. I would like to answer the question again with an amusing argument . I don&#8217;t want the solution, a pointer towards the right way is sufficient.<\/p>\n<ul>\n<li>Stack Exchange network consists of 183 Q&amp;A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.<\/li>\n<li>Connect and share knowledge within a single location that is structured and easy to search.<\/li>\n<li>The indefinite integral is a rational fraction and is typically solved using partial fractions decomposition.<\/li>\n<li>I don&#8217;t want the solution, a pointer towards the right way is sufficient.<\/li>\n<li>Both the integrals seem to be hard to evaluate and going into some polylogarithmic forms.<\/li>\n<li>Luckily, the first integral can be evaluated from here but the second integral was the dead-end.<\/li>\n<\/ul>\n<h2>You must log in to answer this question.<\/h2>\n<p><img decoding=\"async\" class='aligncenter' style='margin-left:auto;margin-right:auto' width=\"604px\" alt=\"evaluating business investments\" 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\" \/><\/p>\n<p>Please try not to evaluate using any expansion series, unless it&#8217;s absolutely impossible to solve the limit without using it. While the last link looks promising, I don&#8217;t believe that it answers my specific question(but I haven&#8217;t read the paper fully, only skimmed). Luckily, the first integral can be evaluated from here but the second integral was the dead-end. Both the integrals seem to be hard to evaluate and going into some polylogarithmic forms.<\/p>\n<ul>\n<li>I would like to answer the question again with an amusing argument .<\/li>\n<li>Stack Exchange network consists of 183 Q&amp;A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.<\/li>\n<li>Please try not to evaluate using any expansion series, unless it&#8217;s absolutely impossible to solve the limit without using it.<\/li>\n<li>Both the integrals seem to be hard to evaluate and going into some polylogarithmic forms.<\/li>\n<li>Connect and share knowledge within a single location that is structured and easy to search.<\/li>\n<\/ul>\n<h2>Answers<\/h2>\n<p>The indefinite integral is a rational fraction and is typically <a href=\"https:\/\/www.accountingcoaching.online\/evaluating-business-investments\/\">evaluating business investments<\/a> solved using partial fractions decomposition.<\/p>","protected":false},"excerpt":{"rendered":"<p>calculus Evaluating $\\int_0^1 \\frac\\tan^-1x\\ln^2&#215;1+x\\,dx$ Mathematics Stack Exchange Stack Exchange network consists of 183 Q&amp;A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. I have an answer to this question(shared Q&amp;A style), but I am curious as to whether there is another way [&hellip;]<\/p>","protected":false},"author":2,"featured_media":0,"comment_status":"","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-6093","post","type-post","status-publish","format-standard","hentry","category-senza-categoria"],"acf":[],"_links":{"self":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/posts\/6093","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/comments?post=6093"}],"version-history":[{"count":0,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/posts\/6093\/revisions"}],"wp:attachment":[{"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/media?parent=6093"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/categories?post=6093"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ecodelmare.it\/en\/wp-json\/wp\/v2\/tags?post=6093"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}