Originally Posted by

**elfsong** Hello frindes i was hopeing some of you might help me with a difficult integral i am facing

$\displaystyle \int\frac{\coth(ax)}{\exp(bx)-\cos^2(c)}dx$

On the intervale of$\displaystyle [0,\infty]$, I know it's not a normal integral but I need it for a small work i am doing

the value of either a or b could be complex, c is a real parameter

I already tried using the resedium of the integral,

but it does not fit with a limit i need to take when $\displaystyle a\rightarrow\infty$ as that result is known to me allready.

I tried integration by parts but got nowhere fast

I need an exact solution and the value of the integral

Thank you in advence