Need help solving

No.14110817 ViewReplyOriginalReport
I need to solve this integral cos2x/sqrt(sinx^2*cosx^2+3sin2x)

But it becomes very messy when i try to subsitute with tan(x/2) and use trig identities for cos and sin, maybe i am doing it wrong, anyways I could use some pointers on how to solve an integral like this. Or just straight up an answer if someone has the time. Thanks in advance.

pic unrelated