Answer
$$40$$
Work Step by Step
\begin{align*}
\int_{1}^{3} \int_{0}^{2} x^{3} y d y d x&= \int_{1}^{3} \frac{1}{2}x^{3} y^2\bigg|_{0}^{2} d x\\
&= \frac{1}{2}x^{4} \bigg|_{1}^{3} \\
&= 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: 19
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