Another way of doing this is to consider that ##d(secx) = secxtanx*dx##<\/p>\n
That is, the derivative of ##secx## is ##secxtanx##<\/p>\n
##=> int(secxtanx)\/(secx – 1)dx = int d(secx)\/(secx – 1)##<\/p>\n
This is the same as letting ##u = secx##<\/p>\n
We then have,<\/p>\n
##int(du)\/(u – 1) = ln(u – 1) + C = ln(secx – 1) + C##<\/p>\n","protected":false},"excerpt":{"rendered":"
Another way of doing this is to consider that ##d(secx) = secxtanx*dx## That is, the derivative of ##secx## is ##secxtanx## ##=> int(secxtanx)\/(secx – 1)dx = int d(secx)\/(secx – 1)## This is the same as letting ##u = secx## We then 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-28205","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/28205","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=28205"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/28205\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=28205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=28205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=28205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}