Having a really tough time figuring out how to set this problem up:

Use the given transformation to evaluate the integral.

$\displaystyle \int \int_R x^2 ~dA$, where R is the region bounded by the ellipse $\displaystyle 9x^2+4y^2 = 36$;

$\displaystyle x=2u$

$\displaystyle y=3v$