I recently had this integral in my homework and don't really know how to proceed. $\int^1_0\frac{\ln (1+x^{2+ \sqrt3})}{x+1}dx$
So far I figured that $ \int^1_0\frac{\ln (1+x^{a})}{x+1}dx= \int^1_0\frac{\ln (1+x^{-a})}{x+1}dx+a\frac{\pi^2}{12}$,
but this doesn't seem too useful.
