Chapter 13 - Multiple Integration - 13.2 Double Integrals over General Regions - 13.2 Exercises - Page 980: 7

\[\int_{0}^{2}{\int_{{{x}^{3}}}^{4x}{dy}dx}\]

\[\begin{align} & \text{From the graph, the region }R\text{ is} \\ & R=\left\{ \left( x,y \right):{{x}^{3}}\le y\le 4x,0\le x\le 2 \right\} \\ & \text{Then,} \\ & \int_{0}^{2}{\int_{{{x}^{3}}}^{4x}{dy}dx} \\ \end{align}\]