I integrate by part I assume $dx=dv$ and $\ln(\sin x)= u$ or
I compute by Maple but its answer wasn't clearly (Maple answer: xln(1-exp((2I)x))+xln(sin(x))+(1/2*I)x^2+(1/2*I)*polylog(2, e((2*I)*x)))
thanks for any hints
2026-05-05 17:44:48.1778003088
how integrate $\int\ln(1+\tan x)\,dx$ or $\int\ln(\sin x)\,dx$
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