# Double Integral

1. May 5, 2012

### Tayyabah

1. The problem statement, all variables and given/known data

I have to calculate the double integral given below.

2. Relevant equations

D√(x2 +y2) dxdy,D=x2+y2≤2x

3. The attempt at a solution

How can i calculate the limits from the give inequality to calculate the value of the given double integral?

Waiting for a kind response.

2. May 5, 2012

### tiny-tim

Welcome to PF!

Hi Tayyabah! Welcome to PF!

(I see you've discovered how to start a thread! )
first, describe (in words) the shape of D

(that should help you with the limits … alternatively, you may find that a change of coordinates would make it easier )

3. May 5, 2012

### Tayyabah

Thanks a bunch for prompt response.

If a modify the inequality representing D, it gets the following form

(x-1)2+y2≤ 1

Which means (If i am not wrong) D is representing the interior of a circle centered at (1,0) and having radius equal to 1.

4. May 5, 2012

### tiny-tim

That's right!

ok, now either have limits of x going from 0 to 2, and y as a function of x,

or y going from -1 to 0, and x as a function of y …

what do you get?