show that the following integral converges if $s>n$?

Question

I want to show that the integral

${\int\limits_{{\mathbb R^n}} {\left( {1 + \left| x \right|} \right)} ^{ - s}}dx$

is convergent if $s>n$

I am thinking to use the Fourier transform, but no idea how to start. Also, the integrand is radial, so maybe that will help.

I appreciate any tips.