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: 3

Answer

$\frac{128\pi}{5}$

Work Step by Step

Setup the integration using shell method $2\pi \int_0^4 x(\frac{1}{4}x^2)dx$ $ 2\pi \int^4_0 x^{\frac{3}{2}} dx$, Integrate $ 2\pi (\frac{2}{5}x^{\frac{5}{2}})]_0^4$, Take definite integral $ 2\pi ((\frac{64}{5})-0)$ $\frac{128\pi}{5}$
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