{"id":4825,"date":"2026-04-11T10:59:51","date_gmt":"2026-04-11T14:59:51","guid":{"rendered":"https:\/\/josmfs.net\/wordpress\/?p=4825"},"modified":"2026-04-11T10:59:51","modified_gmt":"2026-04-11T14:59:51","slug":"integral-challenge","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2026\/04\/11\/integral-challenge\/","title":{"rendered":"Integral Challenge"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4822\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/04\/Integral-Challenge-Fig2.jpg\" alt=\"\" width=\"196\" height=\"82\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/04\/Integral-Challenge-Fig2.jpg 395w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/04\/Integral-Challenge-Fig2-300x125.jpg 300w\" sizes=\"auto, (max-width: 196px) 100vw, 196px\" \/>This is a bit of a challenging problem from the 2026 Math Calendar.<\/p>\n<p>\u201cLet <em>f<\/em> be a continuous real-valued function on the reals.\u00a0 For all\u00a0<em>t<\/em>, <em>f<\/em>(2<em>t<\/em>) = 3<em> f<\/em>(<em>t<\/em>) and \u222b<sub>0<\/sub><sup>1<\/sup> <em>f<\/em>(<em>t<\/em>) <em>dt<\/em> = 1.<\/p>\n<p>What is the value of \u222b<sub>2<\/sub><sup>4<\/sup> <em>f<\/em>(<em>t<\/em>) <em>dt <\/em>?\u201d<\/p>\n<p>Again, the result must be a number of a day in a month.<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/04\/Integral-Challenge-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2026\/04\/Integral-Challenge-260410.pdf\">Integral Challenge<\/a> for a solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a bit of a challenging problem from the 2026 Math Calendar. \u201cLet f be a continuous real-valued function on the reals.\u00a0 For all\u00a0t, f(2t) = 3 f(t) and \u222b01 f(t) dt = 1. What is the value of \u222b24 f(t) dt ?\u201d Again, the result must be a number of a day in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[32,183],"class_list":["post-4825","post","type-post","status-publish","format-standard","hentry","category-math-inquiries","tag-calculus","tag-math-calendar"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4825","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4825"}],"version-history":[{"count":3,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4825\/revisions"}],"predecessor-version":[{"id":4828,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4825\/revisions\/4828"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4825"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4825"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4825"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}