double integral (D) of y^3(x^2+y^2)^(-3/2) DXDY where (D) is the region determined by the ocnditions .5 less than or equal to y less than or equal to 1 and x^2+y^2 less than or equal to 1.

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- Aug 17th 2008, 07:32 PMpadsinsevenHelp with the bounds on this double integral
double integral (D) of y^3(x^2+y^2)^(-3/2) DXDY where (D) is the region determined by the ocnditions .5 less than or equal to y less than or equal to 1 and x^2+y^2 less than or equal to 1.

- Aug 17th 2008, 10:50 PMmr fantastic
Have you drawn the region of integration? It's the interior of the unit circle that lies above the line y = 1/2.

One possible set up is .

Another is .

But you should consider switching to polar coordinates. In which case you'll need to express the line y = 1/2 in polar coordinates. Note that . - Aug 18th 2008, 03:55 AMpadsinsevencould I get a tip on how to integrate this as well, just not seeing it
as much help on this as possible would be greatly appreciated.

- Aug 18th 2008, 04:04 AMmr fantastic
- Aug 18th 2008, 06:03 AMpadsinsevencustomary to switch to polar here?
I punched it in my calculator and got xy/sqrt(x^2+y^2). I just wanted to make sure that I knew how to do it both ways. Thanks very much for all your help.

- Aug 18th 2008, 06:09 AMmr fantastic
- Aug 18th 2008, 09:09 AMpadsinsevendx
the answer xy/sqrt x^2+y^2 was just for the dx part. I was confused as to how they got this.