I'm sorry, this is perhaps not the best question for this forum.
However, it would be of enormous help if someone could evaluate this integral for me using Mathematica or similar software.
Thank you very much!
$\int_0^\infty\int_0^\infty e^{- t/\gamma}\left(t-\frac{1}{2\gamma}t^2\right) e^{-|t-t'|/\mu'}e^{- t'/\gamma}\left(t'-\frac{1}{2\gamma}t'^2\right) dtdt'$
Assuming $\gamma,\mu>0$, it is $$ \frac{\gamma^5\mu(\gamma+3\mu)}{8(\gamma+\mu)^3} $$