Hi

I need to compute the next integral:

$\displaystyle \int_{0}^{\infty} \frac{cos{(tx)}(1- cos{(x)})}{x^2}dx$

$\displaystyle =\int_{0}^{\infty} \frac{cos(tx)}{ x^2} dx - \int_{0}^{\infty} \frac{cos(xt)\cos(x)}{x^2}dx$

but i dont know even where to start ! Any hint how to do this?{

thank you