# Evaluate the double integral by converting to polar coordinates

alanthreonus

## Homework Statement

Convert to polar coordinates to evaluate

$$\int^{2}_{0}\int^{\sqrt(2x-x^2)}_{0}{\sqrt(x^2+y^2)}dydx$$

## The Attempt at a Solution

Really I'm just not sure how to convert the limits of integration. I know $$\sqrt(2x-x^2)$$ is a half-circle with radius 1, but I'm not really sure where to go from there.

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