Calculus (3rd Edition)

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



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*}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.