Solving Improper Integral Homework Problem

In summary, the conversation involves a student seeking help with a problem, specifically integrating dx dy/(1 + x^2 + y^2)^2. The suggestion is made to try using polar coordinates, and the student eventually confirms that it worked. There is also a small misunderstanding about the meaning of "10x."
  • #1
asi123
258
0

Homework Statement



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

Homework Equations





The Attempt at a Solution

 

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  • #2
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!
 
  • #3
rocomath said:
link it somewhere else so we can see it asap!

What do u mean?
 
  • #4
asi123 said:
∫∫dx dy/(1 + x2 + y2)2

Hi asi123! :smile:

Have you tried substituting into r and θ? :smile:
 
  • #5
[tex]r^2=x^2+y^2[/tex]
 
  • #6
In other words, change to polar coordinates.
 
  • #7
10x.
 
  • #8
asi123 said:
10x.
Work?
 
  • #9
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:
 

Related to Solving Improper Integral Homework Problem

1. What is an improper integral?

An improper integral is an integral where one or both of the limits of integration are infinite or where the integrand is unbounded at one or more points within the interval of integration.

2. How do you solve an improper integral?

To solve an improper integral, you must first determine if it converges or diverges. If it converges, you can use a variety of techniques such as substitution, integration by parts, or trigonometric identities to evaluate the integral. If it diverges, you can use comparison tests or the limit comparison test to determine its behavior.

3. What are the common types of improper integrals?

The common types of improper integrals include integrals with infinite limits, integrals with discontinuous integrands, and integrals with unbounded integrands.

4. Can improper integrals have finite values?

Yes, improper integrals can have finite values if they converge. If they diverge, they will have infinite or undefined values.

5. What is the purpose of solving improper integrals?

The purpose of solving improper integrals is to accurately calculate the area under a curve that extends to infinity or has unbounded behavior. This is important in many areas of science and engineering, such as physics, economics, and statistics.

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