Dirac delta functions integration

[touqra]

I can't figure out how to integrate this:

$$\int_{0}^{\infty} \frac{x}{\sqrt{m^2+x^2}}sin(kx)sin(t\sqrt{m^2+x^2}) dx$$

m, k and t are constants.

The book has for m = 0, the solution is some dirac delta functions.

 

[arildno]

Hmm..I doubt you can find an exact solution for this.

At first glance, the stationary phase approximation might yield some result.