By popular demand, I'm showing how to change variables in multivariable calculus using the Jacobian, and in particular I want to show that it is not much different from the u-substitution technique in single variable calculus. Enjoy!
Note: I messed up the bounds in the end of the video; they should be from -1 to 1 instead from 0 to 1. The final answer is 4/3, not 1/3