integration of cos^2x/(1+tanx)

Question

My question is 12 standard calculas problem basically it is indefinite calculas . Integration of cos square x devised by one plus tan x

Answer 1

This type of integral is a lot of work.  However, if you just need the result,  type it into the Mathematica on-line integrator.   I did so, and from the result, got some ideas on how to approach it.