# Evaluate the iterated intergal by converting to polar coordinate?

1. May 25, 2009

### ZuzooVn

2. May 25, 2009

### tiny-tim

hmm … that's $$\int_0^2\int_0^{\sqrt{2x-x^2}}\sqrt{x^2+y^2} dxdy$$

ok … I assume you know how to convert dxdy into r and θ

and for the limits, convert y2 ≤ 2x - x2 into r and θ also

3. May 25, 2009

### ZuzooVn

0≤y≤1
0≤x≤2
0≤r≤2
0≤θ≤ pi/2

4. May 25, 2009

### tiny-tim

(have a pi: π )

No, the upper limit of r will depend on θ.

I repeat … convert y2 ≤ 2x - x2 into r and θ