When does this double integral converge?

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Homework Help Overview

The discussion revolves around determining the values of k for which a given double integral converges. The integral in question is defined over the region where x² + y² ≤ 1.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the lack of clarity regarding the variable z and its relevance to the integral. There is a suggestion to convert the integral into polar coordinates as a potential approach.

Discussion Status

The conversation is ongoing, with participants exploring different aspects of the problem. Some guidance has been offered regarding the conversion to polar coordinates, but no consensus has been reached on the best approach yet.

Contextual Notes

There is a noted lack of information regarding the variable z, which has led to some confusion among participants. The original poster expresses uncertainty about how to approach the problem.

windy906
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For the double integral find which values of k make it converge.
[tex]\int \int \frac{dA}{(x ^ 2+y^2)^k}[/tex]

[tex]x^2 + y^2 <= 1[/tex]
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:
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What is z?
 
Doesn't say, that is all the information I have.
 
Well, is z associated with the integral? Because it really has no bearing on the problem at the moment... perhaps you meant k?
 
Yes I did, sorry!
Will edit it now.
 
Try converting it to polar coordinates
 
Thanks, really didn't have a clue what to do.
 

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