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*}
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 16 - Multiple Integration - 16.1 Integration in Two Variables - Exercises - Page 846: 20
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