I am preparing for an exam and am having trouble calculating the following integral.
where B is the the interior of the triangle with vertices at (0,0), (0,1), and (1,0).
I have made the change of variables $u = y - x$ and $v = y + x$ which gives me:
However, I am not sure how to find the proper surface, $B_*$, over which to integrate.
Any help with this would be greatly appreciated.