I have a power spectral density function of the form
$$S(\omega) = \frac{a}{(\omega^2-K^2)^2 + K^2 h^2 \omega^2},$$
in which $a, K, h$ are some positive constants.
I want to calculate the corresponding spatial correlation 
function which is defined as follows:
$$R(x) = \int\_{0}^{+\infty} \frac{\sin(\omega x) \omega \, d\omega}{(\omega^2-K^2)^2 + K^2 h^2 \omega^2}.$$

Does anyone have an idea about how to calculate this integral?

Thanks in advance.