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Homework Statement
[itex]\iint\limits_D x{\rm{d}}x{\rm{d}}y[/itex] where [itex]x = \sqrt{2y - y^2}, y = \sqrt{2x - x^2}[/itex]
Homework Equations
The Attempt at a Solution
I have figured out the region in question:
Ah, perhaps..
[tex]\int_0^1 \int_{1-\sqrt{1-y^2}}^{\sqrt{2y-y^2}} x {\rm{d}}x{\rm{d}}y[/tex]
In the inner integral I consider what X is bound by and then the 2nd integration would be just from 0 to 1 since that's what y is bound by. Not really worried about the actual calculation itself, but the most challenging bit is figuring out the bounds.
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