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.