`(1+cosx)/(1-cosx)=tan^2x/(secx-1)^2`

intsin^2x/(1+cosx)^2dx

intsin^2x/(1+cosx)^2dx

Show that: tan^(-1)[ (sqrt(1+cosx)+sqrt(1-cosx))/(sqrt(1+cosx)-sqrt(1-cosx))] =(pi)/(4)+(x)/(2), x in [0, pi]

Differentiate w.r.t. x: (i)tan^(-1)((cosx)/(1+sinx))" "(ii)tan^(-1)(secx+tanx)