I need to evaluate an integral of the form
$$\int_0^Q \frac{f(q)\cdot q^5 \mathop{dq}}{(1-\exp(-q/c))(\exp(q/c)+1)}.$$
If I got it right, then this looks a lot like the Debye integral of order 5 for which I haven't found a table yet..but I'm working on it. Anyway, there's another function in the numerator $f(q)$ I need to get rid of somehow.
Any ideas on how to approach this beast?
Edit: I need to perform numerical integration, which doesnt really work when $q$ approaches 0. I just noticed that $$ \frac{q^5}{(1-\exp(-q/c))(\exp(q/c)+1)}=\frac{q^5}{2(\exp(q)-1)}+\frac{q^5}{2(\exp(q)+1)}$$ The latter term is no problem in terms of numerical integration, while the first term is just a Debye function, I hope can find some series expansion for..