I think I know how to finish this problem, I just can't seem to figure out how to get the bounds for my substitution. Do you have any tips.
2026-03-26 19:35:55.1774553755
Getting stuck at determining bounds
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The domain for $u_2$ is obviously $[4,8]$ from the definition of $D$. $x_1^2-x_2^2=(x_1-x_2)\cdot (x_1+x_2)$, so the domain for $u_1$ would be $[0, 32]$.
If I may suggest, you'd get to the solution significantly easier if you made the substitutions suggested by the domain you're given, namely $u_1=x_1 - x_2$ and $u_2$ as you've defined it :)