integrate cos2x.sin4x/cos^4x(1+cos^2 2x)

Hi,

Convert all the terms in 2x angle and put COS2x = t.
You will get the differential in the denominator.

Convert the integral in t and do the partial fraction. After this step ull see that the question has reduced to two standard integrals. Do the integral in t and perform the back substitution to get the final answer.