I used to think I was pretty good at basic integration, then I met this

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Anyadvice on how to even start this one would be much appreciated. I think I'm missing a trick somewhere... :)

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- March 30th 2009, 12:23 PMStonehambeyDon't know where to start with this integral
I used to think I was pretty good at basic integration, then I met this

Show that

*Any*advice on how to even start this one would be much appreciated. I think I'm missing a trick somewhere... :) - March 30th 2009, 12:35 PMJester
- March 30th 2009, 12:58 PMgammaman
It looks to me like it is coming from this formula

- March 30th 2009, 01:38 PMTwistedOne151
Let , so that , , and the integral becomes:

Use the inverse tangent formula gammaman gave you for this last integral, and you should get the result, particularly if you recall that .

--Kevin C.