# When does this double integral converge?

1. May 6, 2007

### windy906

For the double integral find which values of k make it converge.
$$\int \int \frac{dA}{(x ^ 2+y^2)^k}$$

$$x^2 + y^2 <= 1$$
I have no idea how to even start going about this, can just about do the basics of multiple integration but not this.

Last edited: May 6, 2007
2. May 6, 2007

### Office_Shredder

Staff Emeritus
What is z?

3. May 6, 2007

### windy906

Doesn't say, that is all the information I have.

4. May 6, 2007

### Office_Shredder

Staff Emeritus
Well, is z associated with the integral? Because it really has no bearing on the problem at the moment.... perhaps you meant k?

5. May 6, 2007

### windy906

Yes I did, sorry!
Will edit it now.

6. May 6, 2007

### Office_Shredder

Staff Emeritus
Try converting it to polar coordinates

7. May 6, 2007

### windy906

Thanks, really didn't have a clue what to do.