# Evaluate the iterated intergal by converting to polar coordinate?

tiny-tim
Homework Helper
Help me Evaluate the iterated intergal by converting to polar coordinate:

http://www.ziddu.com/gallery/4894419/Untitled.jpg.html

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

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

0≤y≤1
0≤x≤2
0≤r≤2
0≤θ≤ pi/2

tiny-tim
Homework Helper
0≤y≤1
0≤x≤2
0≤r≤2
0≤θ≤ pi/2

(have a pi: π )

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

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