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## Homework Statement

Evaluate

f(x,y)=y

^{2}[itex]\sqrt{1-x

^{2}}[/itex]

over the region

x

^{2}+y

^{2}< 1

## Homework Equations

## The Attempt at a Solution

using x limits between -1 & 1 followed by the y limits of 0 & [itex]\sqrt{1-x

^{2}}[/itex]

[itex]\int[/itex][itex]\int[/itex]y

^{2}[itex]\sqrt{1-x

^{2}}[/itex].dy.dx

Evaluating this and multiplying be 2 to get the whole circle I get 0 as the 1 and -1 limits both give zero as the answer. Therefore I used the x limits of 0 & 1 and multiplied by 4 instead, this gave an answer of 4/9, however I have been given the answer of 32/45, and I have no idea how this could possibly be wrong.