{"id":68129,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/how-do-you-use-part-1-of-fundamental-theorem-of-calculus-to-find-the-derivative-of-the-function-yint-6v210-dv-from-sinx-to-cosx-2"},"modified":"2017-08-18T05:53:08","modified_gmt":"2017-08-18T05:53:08","slug":"how-do-you-use-part-1-of-fundamental-theorem-of-calculus-to-find-the-derivative-of-the-function-yint-6v210-dv-from-sinx-to-cosx-2","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/how-do-you-use-part-1-of-fundamental-theorem-of-calculus-to-find-the-derivative-of-the-function-yint-6v210-dv-from-sinx-to-cosx-2\/","title":{"rendered":"How do you use part 1 of Fundamental Theorem of Calculus to find the derivative of the function ##y=int (6+v^2)^10 dv## from sinx to cosx?"},"content":{"rendered":"<p>##[-(6+cos^2x)^10 sinx &#8211; (6+sin^2x)^10 cosx]##<\/p>\n<p>If it is F(v) = ##int_sinx^cosx (6+v^2)##dv, it can be written as a sum of two integrals= ##int_sinx^0 (6+v^2)dv## +##int_0^cosx (6+v^2)dv##<\/p>\n<p>=##int_0^cosx (6+v^2)dv-int_0^sinx (6+v^2)dv##<\/p>\n<p>F'(v) =##d\/dx int_0^cosx (6+v^2)dv -d\/dx int_o^sinx (6+v^2)dv## <\/p>\n<p>Now applying , the derivative would be ##[-(6+cos^2x)^10 sinx &#8211; (6+sin^2x)^10 cosx]##<\/p>\n","protected":false},"excerpt":{"rendered":"<p>##[-(6+cos^2x)^10 sinx &#8211; (6+sin^2x)^10 cosx]## If it is F(v) = ##int_sinx^cosx (6+v^2)##dv, it can be written as a sum of two integrals= ##int_sinx^0 (6+v^2)dv## +##int_0^cosx (6+v^2)dv## =##int_0^cosx (6+v^2)dv-int_0^sinx (6+v^2)dv## F'(v) =##d\/dx int_0^cosx (6+v^2)dv -d\/dx int_o^sinx (6+v^2)dv## Now applying , the <a href=\"https:\/\/www.benedictsol.com\/blogs\/how-do-you-use-part-1-of-fundamental-theorem-of-calculus-to-find-the-derivative-of-the-function-yint-6v210-dv-from-sinx-to-cosx-2\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-68129","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/68129","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=68129"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/68129\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=68129"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=68129"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=68129"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}