Answer
-8/3
Work Step by Step
Integrate with respect to r and plug in limits to evaluate:
$=\frac{1}{3}(r+1)^3$ with limits from -1 to 1
$=-\frac{1}{3}[(1+1)^3-(-1+1)^3]=-\frac{1}{3}(8)=-8/3$
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 5: Integrals - Section 5.4 - The Fundamental Theorem of Calculus - Exercises 5.4 - Page 286: 19
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