Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 6 - Section 6.5 - Average Value of a Function - 6.5 Exercises - Page 463: 15

Answer

$\frac{9}{8}$

Work Step by Step

$f_{avg}=\frac{1}{b-a}\int_{a}^{b}f(x)dx$ The area under the curve from x=0 to x=8 is 9. We get this value by counting the number of unit boxes and subtracting the positive values, which are above the x-axis, from the negative values (below x-axis). $f_{avg}=\frac{1}{8-0}(9)=\frac{9}{8}$
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