Integration problem

**chernloon** · October 25th 2009, 08:16 PM

hi...i am stucked at integrate this term:

$<br /> \int{\int{x^py^q\sqrt{x^2+y^2}\:dx}\:dy}<br />$

wher p and q are constant.

anybody can help me on this? Thanks

**Bruno J.** · October 25th 2009, 09:34 PM

Have you tried in polar coordinates? it becomes

$\int \int r^{p+q+2}\cos^p\theta \sin^q\theta \ dr\ d\theta$

(I haven't tried, but it looks a bit easier. Just suggesting.)

**Krizalid** · October 26th 2009, 04:51 AM

no bounds, this makes no sense by not having them.

**chernloon** · October 27th 2009, 12:24 AM

sorry..forgot to put the boundary. the boundaries for x and y is -1 to 1.
thanks

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