PDA

View Full Version : When does this double integral converge?


windy906
May6-07, 03:35 PM
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.

Office_Shredder
May6-07, 03:48 PM
What is z?

windy906
May6-07, 03:50 PM
Doesn't say, that is all the information I have.

Office_Shredder
May6-07, 03:52 PM
Well, is z associated with the integral? Because it really has no bearing on the problem at the moment.... perhaps you meant k?

windy906
May6-07, 04:12 PM
Yes I did, sorry!
Will edit it now.

Office_Shredder
May6-07, 04:16 PM
Try converting it to polar coordinates

windy906
May6-07, 04:34 PM
Thanks, really didn't have a clue what to do.