# Thread: change of variables (bounds)

1. ## 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.

2. Your region is a paralellogram whose coordinates are $(0,0),(2,1),(2,2),(0,1).$ With the given change of variables put those $(x,y)$ into $(u,v)=(x,2y-x).$ to get the new region for $(u,v).$