Show that for that

Printable View

- Apr 24th 2009, 05:08 PMTheEmptySetInteresting Integral
Show that for that

- Apr 24th 2009, 05:56 PMNonCommAlg
- Apr 24th 2009, 06:22 PMTheEmptySet
Wow that is a very nice solution. (Clapping)Better than this, but here is another way....

Consider the integral where is the unit circle

in the complex plane. Then by cauchy's integral formula or the residue theorem.

Parameterize the curve with for and then =

So we know that this equals setting immaginary parts equal we get

Since this is an even function we get (Finally)