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: 12

Answer

$\pi$

Work Step by Step

Setup the integration using shell method about the y-axis $2\pi \int_0^1 x(-x^2+1)dx$ $2\pi \int_0^1 (-x^3 +x)dx$, Integrate $2\pi(-\frac{1}{4}x^4 + \frac{1}{2}x^2)]_0^1 $, take the definite integral $ 2\pi(-\frac{1}{4} + \frac{1}{2}) -0$ $\pi$
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