Show that:

is independent of .

This took me quite a while to figure out.

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- December 6th 2009, 05:59 PMhjorturFun integral
Show that:

is independent of .

This took me quite a while to figure out. - December 6th 2009, 06:06 PMKrizalid
and took me 1 second to tell ya that it's a quite known problem!

so leave others to try it! (i'm telling you people who already knows the answer.) - December 6th 2009, 07:52 PMrrm74001
Did anyone else do a facepalm when they finally figured it out? I stared blankly at my paper for 15 minutes trying to figure it out, and I feel dumb now for not seeing it much sooner.

I was never good at integrals to begin with, however (Rofl). - December 6th 2009, 11:13 PMsimplependulum
- March 26th 2010, 05:09 PMchiph588@
How is this integral done? I'm thinking complex contour integration, but I bet there's an easier way.

Also, I've noticed that this works for all . - March 26th 2010, 05:14 PMKrizalid
use and substitute

- March 26th 2010, 05:54 PMchiph588@
- March 26th 2010, 06:54 PMRandom Variable
I think it's the following:

Let

so - March 26th 2010, 09:59 PMmr fantasticPlease read the criteria for posting in the Challenge subforum
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