Parseval’s formula state that
$$\int_{-\infty}^{\infty}\mathopen|f(x)\mathclose|^2 dx=\int_{-\infty}^{\infty}\mathopen|F(k)\mathclose|^2 dk$$
How to use Parseval’s formula to evaluate the following integral
$$\int_{0}^{\infty}\frac{1}{(1+k^2)^2}dk$$.