Prove that

and both integrals converge.

Any help on this? I tried doing integration by parts for the second one but couldn't reach an answer.

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- Feb 7th 2010, 01:16 PMpaupsersProve these integrals are equal
Prove that

and both integrals converge.

Any help on this? I tried doing integration by parts for the second one but couldn't reach an answer. - Feb 7th 2010, 01:38 PMJhevon
see post #2 here

- Feb 7th 2010, 02:23 PMpaupsers
That thread was really helpful!

But now I'm trying to solve

by using the same method, and it's not working out so nicely. I've set it up the same way and converted it into polar, and now I'm at

and I have a feeling that's not simple to evaluate... :-(

Is there a simpler way to do this? - Feb 7th 2010, 02:37 PMpaupsers
Actually, it can be done using integration by parts. Thanks for the link, still!