I have a two integrals mathematica won't solve and I'm not sure how to solve them although I'm certain they are solvable.
The first one is:
$\int_{0}^\pi \log\left(A-B\cos\theta\right)\left(A+B\cos\theta\right)\sin^2\theta d\theta$
The second one is
$\int_{0}^\pi \frac{\log\left(A-B\cos\theta\right)}{\left(A-B\cos\theta\right)}\sin^2\theta d\theta$