Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 6 - Section 6.3 - Volumes by Cylindrical Shells - 6.3 Exercises - Page 454: 21


a.) $\displaystyle{V=2\pi\int_{0}^{2}x^2e^{-x}\ dx}\\ $ b.) $\displaystyle{V=4.06300}$

Work Step by Step

a.) $\displaystyle{V=\int_{0}^{2}(2\pi x)\left(xe^{-x}\right)\ dx}\\ \displaystyle{V=2\pi\int_{0}^{2}x^2e^{-x}\ dx}\\ $ b.) $\displaystyle{V=4.06300}$
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