I tried to solve it by integration by parts, but all messed up.

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- April 4th 2010, 04:13 AMroshanheroDifficult integration

I tried to solve it by integration by parts, but all messed up. - April 4th 2010, 04:47 AMMoo
Hello,

Note that the function is an odd function. And since it's integrated over an interval that is symmetric to 0, the value of the integral is just 0 ! - April 4th 2010, 04:49 AMSoroban
Hello, roshanhero!

This integration is straight-forward . . .

Quote:

We have: .

Got it?

- April 4th 2010, 05:06 AMmr fantastic
No. The reason this integral is zero is not because the function is odd. If that were the case, then the Cauchy distribution would have a mean equal to zero .... (Surprised)

Of related interest: http://www.mathhelpforum.com/math-he...ancel-out.html - April 4th 2010, 05:17 AMKrizalid
in order to say it's zero, we need to prove convergence.

- April 5th 2010, 12:57 AMCaptainBlack