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This is the problem I'm trying to solve. The directions require me torewrite as a single integraland evaluate. But I'm having trouble setting the bounds for a complete compounded integral. The graph of the region would look something like this...

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Where the shaded area is the region. I would think its a Type 2 region (dxdy). The y bounds would be 0 to√2 and the x bounds would be from x=sqrt(1-x^2) to x=sqrt(4-x^2).... so so I thought. I then realized that these bounds would extra space outside of the intended shaded region, so the y=x linemust be involved in the bounds somehow.

I just need help setting the integral up, the actual integrating should be easy. Thanks !!! Any help is appreciated!!

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# Calc III Double Integral Question

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