(a) Let then and therefore . We get:
Both limits of integration in the new integral are 1, so the value of the definite integral is 0.
It is only zero when x=0. Jacobian become zero at (0,0) so it vanishes at this point.
(c) This is the part I'm really stuck on: from part (a) I know what to substitute for "dx" when I make the substitution . So I think this is what the question is asking for:
But expressions involving x should not appear in the new integrals. How do I get rid of the " "? Can anyone show me how to do this part?