Hello,

I want to integrate $\displaystyle \int_{0}^{2\pi} \cos(t+a)\ \cos(b \cos(t)) \ e^{-c |\cos(t)|}\ dt $ where $\displaystyle a,b,c$ are constants. I tried in Matlab and Mathematica but both are unable to solve the integral. Is there a trick to simplify this integral to make it integrable? Any help is highly appreciated.

Thanks and Regards,

Ameya