I'm working on exercises of chapter 10 in Baby Rudin.
I refer to R. Cooke's solutions manual to Baby Rudin while I'm solving those exercises.(https://minds.wisconsin.edu/handle/1793/67009)
But I think there is a wrong solution for Chap 10, exercise 8.
Using Theorem 10.9 in Baby Rudin, which is about change of variables on a multiple integral, I think we should represent a integrand on the right side with a mapping T, not an inverse of T.
Could you guys check if I'm right or that solution is right?