Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 7 - Applications of Integration - 7.3 Exercises - Page 462: 19



Work Step by Step

Setup the integration using shell method about the x-axis $ 2\pi \int_0^8 y(\sqrt[3] y) dy$ $2\pi \int_0^8 y^{\frac{4}{3}} dy$, Integrate $2\pi [\frac{3}{7}y^{\frac{7}{3}}]_0^8$, Take definite integral $\frac{768\pi}{7}$ Simplify
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