Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 8 - Further Techniques and Applications of Integration - 8.2 Volume and Average Value - 8.2 Exercises - Page 439: 14


$4\pi \ln4 $

Work Step by Step

If y=0, then x=-1, x=2, so that a=-1, b=2. The volume is $V=\int^{2}_{-1}\pi(\frac{2}{\sqrt x +2})^{2}dx=4\pi[\ln |x+2|]|^{2}_{-1} =4\pi \ln4 $
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