Can someone give me some hints on how to solve the following: $$exp\left(-\int{\frac{cb}{b(ax+Pbe^{bx})+a}\,dx}\right),$$ where $exp(t)=e^{\,t}\,\forall t\in \mathbb{R},e \approx2.71$, and $a,b,c,P$ are constants with $b\neq 0$?
(It is possible that there may be no solution but I doubt it.)
Thank you in advance.