Change of variables to evaluate the integral

[yis]

Homework Statement

these are on the picture

Homework Equations

transformation, jacobian

The Attempt at a Solution

I don't know how to enter the equation, so i uploaded the picture..
is it alright?
I think I solved it somehow, but not quite sure if it is right...
please tell me if there's a wrong process.
thank you..

if you can't see the image, this link would be ok..
http://image.kilho.net/?pk=1599118

 

[UltrafastPED]

The link to the image reports back with "401 Access Denied."

 

[haruspex]

Looks ok to me (and the link works).

 

[dauto]

Looks right except for the limits of the integrals at the very last line that seem wrong.