equation from random matrix theory
$$R_O(x) = 1- \frac{\sin^2(x)}{x^2}+\left[\int_{1}^{\infty}dz\frac{\sin(xz)}{z}\right]\frac{d}{dx}\left(\frac {\sin(x)} x\right)$$
I need to calculate the Fourier transform, but I don't know how to do it. Help me, please!