Another double integral question

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Homework Help Overview

The discussion revolves around a double integral problem, where participants are tasked with sketching the region of integration and reversing the order of integration. The original poster expresses difficulty in evaluating the integral and seeks feedback on their approach.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the evaluation of the integral and the correctness of the limits in the new order of integration. There are inquiries about the status of attachments and suggestions for alternative ways to share images. Some participants also point out potential errors in the original poster's calculations.

Discussion Status

The discussion is ongoing, with some participants providing feedback on specific steps in the original poster's work. There is acknowledgment of errors in the calculations, and while some guidance has been offered, no consensus has been reached on the overall solution.

Contextual Notes

There are delays in the approval of attachments, which may be impacting the flow of the discussion. Participants express frustration regarding the attachment process and the time taken for moderation.

math_04
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Homework Statement



Given the integral (shown in attachment) make a clear sketch of the region of integration and express the integral with the order of integration reversed. Evaluate the integral you found in (ii).

Homework Equations





The Attempt at a Solution



Everything is in the attachment. I kinda got lost in evaluating the integral. Please check whether everything else is right and hopefully I am on the right track!
 

Attachments

  • Math015.jpg
    Math015.jpg
    31.9 KB · Views: 448
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wow, takes a while to approve attachments.
 
math_04 said:
wow, takes a while to approve attachments.
Just upload it somewhere else and link the picture.

If you have Firefox, install the Add-on "Imagebot" and it's easier than pie!
 
cmon, approve the image lol. i don't use firefox.
 
whats happened with my attachment? Why is it taking so long
 
math_04 said:
whats happened with my attachment? Why is it taking so long
Maybe bc most of the Mods were sleeping? Every person that helps here volunteers, relax you're not special.
 
There's an error in this step:
[tex]-\frac{1}{2}4x^3(x^4+y^2)^{-3/2}[/tex] is not the same as [tex]\frac{-2x^3}{\sqrt{x^4+y^2}}[/tex]

That's about all I can decipher from your working. The limits appear to be correct in the new order of integration. If you're doing integration by parts, you didn't include the expression for dv and v.
 
Cheers mate, finally got the answer. i made a mistake with my substitution.
 

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