# Math Help - A nice integral

1. ## A nice integral

I have a problem when it comes to calculate the next integral:

$\int_{-\infty}^\infty\frac{1}{(x+\tau)^k}e^{-2\pi ixn} dx$ where $n\in\mathbb{Z}, Im(\tau)>0.$

Any idea? Thanks.

2. Originally Posted by Veve
I have a problem when it comes to calculate the next integral:

$\int_{-\infty}^\infty\frac{1}{(x+\tau)^k}e^{-2\pi ixn} dx$ where $n\in\mathbb{Z}, Im(\tau)>0.$

Any idea? Thanks.
Look up (or calculate) the Fourier Transform of $\frac{1}{x^k}$. Then apply (or prove and then apply) the shift theorem.