Calculus 8th Edition

$\int _0^2\int _0^{y^2}x^2ydxdy$ Take the derivative with respect to x and then y: $\int _0^{y^2}x^2ydx=\frac{y^7}{3}$ $\int _0^2\left(\frac{y^7}{3}\right)dy=\frac{32}{3}$