I have a problem solving this:

The result is .

Could someone please help me :)

Printable View

- January 5th 2010, 12:08 PMakane[SOLVED] using beta or gamma function
I have a problem solving this:

The result is .

Could someone please help me :) - January 5th 2010, 12:38 PMDrexel28
- January 5th 2010, 01:00 PMDrexel28
Alternatively, if you are one of "those types" that insists on using the gamma and beta function in everything...

Define as before and make the substitution . We see that: and our limits of integration are . Therefore, we may finally conclude that ...but that just seems stupid. - January 5th 2010, 01:05 PMKrizalid

The integral equals since the second piece is a bounded with two finite discontinuities points, hence integrable and since it's odd over that symmetric interval, that integral is zero. - January 5th 2010, 10:48 PMakane
- January 5th 2010, 11:02 PMsimplependulum

Substitute in the second integral .