Solving Improper Integral Homework Problem

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Homework Help Overview

The discussion revolves around an improper integral involving a double integral of the form ∫∫dx dy/(1 + x² + y²)². Participants are exploring methods to evaluate this integral, particularly through the use of polar coordinates.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the potential of substituting Cartesian coordinates with polar coordinates (r and θ) to simplify the integral. There are attempts to clarify what is meant by certain expressions and to confirm understanding among participants.

Discussion Status

Some participants have indicated that they have tried using polar coordinates and found it effective. However, there are still questions about specific interpretations and expressions used in the discussion, indicating that multiple lines of reasoning are being explored.

Contextual Notes

There appears to be some confusion regarding terminology and expressions used, such as "10x" and its interpretation, which may affect the clarity of communication among participants.

asi123
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Homework Statement



Hey.
I'm kinda stuck on this one, any idea?

Homework Equations





The Attempt at a Solution

 

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asi123 said:

Homework Statement



Hey.
I'm kinda stuck on this one, any idea?

Homework Equations





The Attempt at a Solution

link it somewhere else so we can see it asap!
 
rocomath said:
link it somewhere else so we can see it asap!

What do u mean?
 
asi123 said:
∫∫dx dy/(1 + x2 + y2)2

Hi asi123! :smile:

Have you tried substituting into r and θ? :smile:
 
[tex]r^2=x^2+y^2[/tex]
 
In other words, change to polar coordinates.
 
10x.
 
asi123 said:
10x.
Work?
 
rocomath said:
Work?

Yeah
 
  • #10
asi123 said:
Yeah
Not what I meant, but sure :)
 
  • #11
rocomath said:
Not what I meant, but sure :)

What did u mean?
 
  • #12
polar coordinates

Hi asi123! :smile:
asi123 said:
10x.

What did you mean by that? :confused:

Have you tried polar coordinates yet (r and θ)? :smile:
 
  • #13


tiny-tim said:
Hi asi123! :smile:


What did you mean by that? :confused:

Have you tried polar coordinates yet (r and θ)? :smile:

:smile:

Yeah, I did it, I changed to polar coordinates and it worked.

10x.
 
  • #14
ping!

asi123 said:
10x.

ah! …

:biggrin: … you meant "thnx"! :biggrin:
 
  • #15


tiny-tim said:
ah! …

:biggrin: … you meant "thnx"! :biggrin:

10x is not like "thnx"? :smile:
 

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