I wouldn't actually call it as a "basic integral," I could post other stuff which I consider basic for me, but hard for others.
I'm sorry, I didn't realise it was that hard! I've seen someone use it to calculate a relatively easy sum, so I assumed its proof should at least be easier than the calculation of the sum. It turns out not. I've tried to prove it, but got nowhere, so I assumed I was missing something obvious somewhere, hence the somewhat reckless/misleading title. I'll see what I can do with the beta function.
Last edited by TheCoffeeMachine; Apr 9th 2011 at 09:04 PM.