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## Homework Statement

Evaluate [itex]\int\int[/itex]

_{D}(x+2y)dA, where D is the region bounded by the parabolas y=2x

^{2}and y=1+x

^{2}

## Homework Equations

dA = r*drd[itex]\vartheta[/itex]

r

^{2}=x

^{2}+y

^{2}

## The Attempt at a Solution

Well, I know I need to put D into polar coordinates, but I'm lost on this one. The examples I have seen before involve D being a region like x

^{2}+y

^{2}= 16, which I could easily turn in to 0[itex]\leq[/itex]r[itex]\leq[/itex]4 and 0[itex]\leq[/itex][itex]\vartheta[/itex] [itex]\leq[/itex]2[itex]\pi[/itex]

So, any advice on getting better at setting up these regions in terms of polar coordinates?

EDIT: Is r from 0 to 2 and theta from 0 to pi?

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