For the following question:
$\displaystyle \int\!\!\!\int_D x^2y\,dx\,dy$ where $\displaystyle D$ is the bounded region $\displaystyle x= y^2$ & $\displaystyle y = \frac{1}{2}x$
I get the limits of integration to be:
$\int_0^4\!\!\!\int_{2y}^{y^2} x^2y\,dx\,dy$
I got the limts for y by substituting $\displaystyle y = \frac{1}{2}x$ in to $x= y^2$
Is this the right approach (probably not)?
I'm sure my graph is ok, brain freeze from here though.