# To determine a definite integral [duplicate]

I have been trying to solve the following integral $$\int_{0}^{\frac {\pi}{2}} \ln\left (\frac {\ln^2 (\sin x)}{\pi^2+\ln^2 (\sin x)}\right) \frac {\ln \cos x}{\tan x} dx$$ I tried substituting for $\frac {\ln^2 (\sin x)}{\pi^2+\ln^2 (\sin x)}$ and using the properties of definite integrals, but I am not able to proceed with the integral as the $\ln \cos x$ term doesn't get substituted. Is there any other trick that I can employ?