I'm a bit stuck on a problem that involves trying to integrate the area between 4 curves.
$\int \int_D x^2+y^2 dxdy$
Where D is the region enclosed by the curves $xy =2, xy=7, y= 2x^2$ and $y=5x^2$.
For this, I set $u=y/x^2$, $v=xy$ and then work through the problem. In the end, I find that I can't fully rewrite the end integral in terms of $u$ and $v$, so am likely making a mistake somewhere.
Any help in solving this would be much appreciated.