I'm trying to find an analytic solution to this integral and so far wolframalpha and even maple has failed me. I was wondering if you guys could find an analytic solution, it's stumped me for a day now.
? 0 to pi/2 sin^2(x) *ln(sin^2(tan x)) dx
? 0 to pi/2 sin^2(x) *ln(sin^2(tan x)) dx