# Double integration involving polynomial functions and sinc function

I encountered a problem which I can't seem to simplify/solve. I was wondering if any mathematicians or specialists knows how to approach this problem?

$$\int^{0.5}_{-0.5} \int^{0.5}_{-0.5} \; \delta^m \times \omega^n \times 2 \times \frac{\sin((Wc-\omega)(D-\delta))}{(Wc-\omega)(D-\delta)} \; d\omega \; d\delta$$

where $m$ & $n$ are integers and $Wc$ & $D$ are constants.

Is there a way to simplify that above expression? I tried solving the integration but it turned out very nasty. So I think there must be a better way that I've hind sighted.

@Paul: $\LaTeX$ tip: if you are in displaymode, $$...$$, then you don't have to add \displaymode. –  Arturo Magidin Dec 11 '11 at 6:29
Note that to have a genuine sine cardinal, there should have been a $Wc-\omega$ factor in the denominator as well. But there isn't. (Unless you treat it as $(Wc-\omega)\mathrm{sinc}((Wc-\omega)(D-\delta))$) –  Ｊ. Ｍ. Dec 11 '11 at 6:36
Opps. J.M. You are right, forgotten about the $(Wc-\omega)$. Adding it in now =) –  JuniorEngie Dec 11 '11 at 6:40