How to calculate the complex integral $ \int_{-1}^{1} \frac{(1-s^2)^4 e^{isc}}{(w-s)^{k}} ds $?

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$$ \int_{-1}^{1} \frac{(1-s^2)^4 e^{isc}}{(w-s)^{k}} ds $$ for some constant $c$ and $w$, and for $k=1,2,3$.

I tried mathematica, but it gives me a quite complicated result. Just wonder whether it is possible to find a simpler expression.