Thread: change of variables (bounds)

Hey guys,

I am really confused while changing the bounds when we do the change of variables.

Given, u=x and v= 2y-x. Integrating f(x,y) dy dx. where (x/2) < y<(x/2)+1 , and 0<x<2. How do I change the bounds in terms of du dv.

Thanks guys.

Your region is a paralellogram whose coordinates are With the given change of variables put those into to get the new region for