Hi,

I have been given the following transformation:

$\displaystyle x=u+2v+1$

$\displaystyle y=2u+v+1$

which transforms the circle $\displaystyle u^2+v^2<=1$ to the region R in the XY field.

I am requested to find the Volume of R.

I tried using a double integral with polar coordinates, but couldn't exactly understand how i am supposed to use the transformation.

Can someone help me understand what I should be doing here ?