Another double integral question

[math_04]

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!

 

[math_04]

wow, takes a while to approve attachments.

 

[rocomath]

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!

 

[math_04]

cmon, approve the image lol. i don't use firefox.

 

[math_04]

whats happened with my attachment? Why is it taking so long

 

[rocomath]

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.

 

[Defennder]

There's an error in this step:
-\frac{1}{2}4x^3(x^4+y^2)^{-3/2} is not the same as \frac{-2x^3}{\sqrt{x^4+y^2}}

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.

 

[math_04]

Cheers mate, finally got the answer. i made a mistake with my substitution.