Prove that

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- Jun 18th 2008, 02:26 PMmathwizardProve the improper integral below
Prove that

- Jun 18th 2008, 03:33 PMJhevon
- Jun 18th 2008, 04:35 PMPaulRS

Note that:

Now: and:

Thus we have, by properties of the loagrithm:

So that:

and:

Integrating:

By Euler's Reflection Formula:

Thus: