Q . E v a l u a t e : ∫ tan x 1 + tan x d x Share with your friends Share 0 Aarushi Mishra answered this Dear studentI=∫tan x1+tan xdx=∫sin xcos x1+sin xcos xdx=∫sin xsin x+cos xdx=12∫2sin xsin x+cos xdx=12∫sin x+cos x+sin x-cos xsin x+cos xdx=12∫sin x+cos xsin x+cos xdx+12∫sin x-cos xsin x+cos xdx=12∫dx-12∫cos x- sin xsin x+cos xdxNote d dxsin x+cos x=cos x-sin x,also ∫f'xfx=ln fx+cI=x2-12ln sin x+cos x 0 View Full Answer