Change of variables for double integrals

1. Dec 2, 2008

jonnyboy

1. The problem statement, all variables and given/known data
Use a suitable change of variable to find the area of the region R bounded by $$y=x^2, y=4x^2, y=\sqrt{x}, y=\frac{1}{2}\sqrt{x}$$

2. The attempt at a solution
I am trying to first find the inverse transformations {u & v =?

2. Dec 2, 2008

HallsofIvy

Staff Emeritus
The obvious thing to do would be to set y= ux2 and y= v$\sqrt{x}$= vx1/2. That way, R is bounded by u= 1, u= 4, v= 1 and v= 1/2. u= y/x2 and v= yx-1/2.