integrate dx / Xcos2(1 + logx ) - Maths - Limits and Derivatives

Question

integrate dx / Xcos2(1 + logx )

Manbar Singh · Accepted Answer

Let I = ∫dxx cos21+log xput 1 + log x = t⇒1xdx = dtSo, I = ∫dtcos2t = ∫sec2t dt = tan t + C = tan1+log x + C