# Homework Help: Evaluate the double integral by converting to polar coordinates

1. Mar 15, 2010

### alanthreonus

1. The problem statement, all variables and given/known data
Convert to polar coordinates to evaluate

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

3. 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.

Last edited: Mar 15, 2010
2. Mar 15, 2010

### rock.freak667

By √(2x-x) do you mean just √x ?

3. Mar 15, 2010

### ideasrule

A half-circle with radius 1 would be y=sqrt(1-x^2), not what you wrote.

4. Mar 15, 2010

### alanthreonus

Woops, I meant sqrt(2x-x^2)