Advanced integration techniques

[Cosmossos]

Hello,
In quantum mechanics I often come across with some very complicated integrals which I need to calculate in an analytic methods (For ex. symmetric and antisymmetric functions , Gaussians ,etc.)
Do you know where I can find a summery of those techniques?
thanks

 

[rhoparkour]

Gaussian functions multiplied by powers of x are usually solved by integration by parts. Also, any self-respecting physicist knows that:

$\int^{\infty}_{-\infty} e^{-x^{2}} \, dx = \sqrt{\pi}$

*This is as hard to derive as it appears. Even wikipedia has it at: http://en.wikipedia.org/wiki/Gaussian_integral

For more details, could you please provide some examples of said integrals?

 

[Dickfore]

Abramowitz, Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.