How to prove that the integral $\int_{\mathbb{R}^N}{\frac{\mathrm{d}\xi}{\left(1+||\xi||\right)^s}}$ converges?

38 Views Asked by At

How to prove that the integral $$\int_{\mathbb{R}^N}{\frac{\mathrm{d}\xi}{\left(1+||\xi||\right)^s}}$$ converges when $s>N$? Can somebody compute it?