I came across definte integral:-
$I(a, b) = \int_{a-b}^{a+b} \frac{1}{e^x -1} \frac{1}{\sqrt{1-(x-a)^2/b^2}} ~\mathrm{d}x $
Mathematica was not able to guide a closed form solution, but I am hoping one exists.
What possible methods to attack such an integral?