## Calculus (3rd Edition)

Published by W. H. Freeman

# Chapter 16 - Multiple Integration - 16.1 Integration in Two Variables - Exercises - Page 846: 20

#### Answer

$$40$$

#### Work Step by Step

\begin{align*} \int_{0}^{2} \int_{1}^{3} x^{3} y d x d y &= \int_{0}^{2} \frac{1}{4}x^{4} y\bigg|_{1}^{3} d y\\ &= \int_{0}^{2} 20 y d y \\ &= 10y^2 \bigg|_{0}^{2} \\ &= 40 \end{align*}

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