##int cos(2theta) “d”theta = 1\/2 sin(2theta) + C##,<\/p>\n
where ##C## is an integration constant.<\/p>\n
I think you mean ##cos(2theta)## instead of ##cos2(theta)##.<\/p>\n
If you know that ##int cos(x) dx = sin(x) + C##, then we can use a (which is the reverse of the ).<\/p>\n
Let ##u = 2theta##,<\/p>\n
##frac{“d”u}{“d”theta} = 2##.<\/p>\n
So, <\/p>\n
##int cos(2theta) “d”theta = 1\/2 int cos(2theta) * (2) “d”theta##<\/p>\n
##= 1\/2 int cos(2theta) * frac{“d”u}{“d”theta} “d”theta##<\/p>\n
##= 1\/2 int cos(u) “d”u##<\/p>\n
##= 1\/2 (sin(u) + C_1)##, where ##C_1## is an integration constant.<\/p>\n
##= 1\/2 sin(2theta) + C_2##, where ##C_2 = 1\/2 C_1##.<\/p>\n","protected":false},"excerpt":{"rendered":"
##int cos(2theta) “d”theta = 1\/2 sin(2theta) + C##, where ##C## is an integration constant. I think you mean ##cos(2theta)## instead of ##cos2(theta)##. If you know that ##int cos(x) dx = sin(x) + C##, then we can use a (which is Read More …<\/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-28190","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/28190","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=28190"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/28190\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=28190"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=28190"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=28190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}