Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 6 - Applications of the Integral - 6.2 Setting Up Integrals: Volume, Density, Average Value - Exercises - Page 298: 39



Work Step by Step

The average is given by $$ \frac{1}{4-0} \int_{0}^{4} x^{3} d x=\frac{1}{4} \int_{0}^{4} x^{3} d x=\left.\frac{1}{16} x^{4}\right|_{0} ^{4}=16 $$
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