Evaluating a triple integral with exponential and spherical coordinates

[EL]

Need help to evaluate this integral, or at least some guide lines, or some reference were I can learn how to do it.


$$\int^{2\pi}_{\phi^{'}=0}\int^{\pi}_{\theta^{'}=0}\int^{b}_{r^{'}=0}e^{ikr^{'}\left[\sin\theta^{'}\left(\cos\left(\phi^{'}-\phi_{1}\right)-\sin\theta_{0}\cos\left(\phi^{'}-\phi_{0}\right)\right)-\cos\theta^{'}\cos\theta_{0}\right]}(r^{'})^{2}\sin\theta^{'}dr^{'}d\theta^{'}d\phi^{'}$$

Thanks!

 

[JonF]

Step #1: convert it from spherical to cartesian.

 

[EL]

Thanks. Although there will be problems with the limits of integration I think it will be a lot easier.