Recent content by Cistra

Hrm, okay thank you. Are you saying that it's supposed to be \int_0^{\pi/2}\int_0^{\infty}f(r,\theta)rdrd\theta rather than what I've put? Because I'm splitting this up into the product of integrals rather than evaluating the double integral for itself, so I get...

Homework Statement Basically I'm just trying to convert a double integral into polar coordinates, but when I do it I get confused with my bounds. Homework Equations The Attempt at a Solution 4\int_0^{\infty}\int_0^{\infty}e^{-(u^2+v^2)}u^{2x-1}v^{2y-1}dudv (x and y are just numbers, not...

Argh! I didn't look closely at my bounds...thank you for your assistance Unco.

Hrm, that's what I did (edited with full derivation above) and I'm off by one power of -1 at my conclusion.

Homework Statement This has been driving me insane, and I'm sure it's something mind-boggling obvious but I can't seem to find it. I'll go through the work through here, I'm trying to prove that \int_0^1{x^xdx}=\sum_{n=1}^{\infty}\frac{(-1)^{n+1}}{n^n}. 2. The attempt at a solution...