Calculus: Early Transcendentals 8th Edition

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

Chapter 5 - Review - Exercises - Page 422: 13

Answer

$0.9$

Work Step by Step

$\int^1_{0}(1-x^9)dx$ $=[x- \frac{x^{10}}{10}] ^1_{0}$. Sub in the bounds and subtract the lower bound (0) from the upper bound (1): $=[(1)- \frac{(1)^{10}}{10}] - [(0)- \frac{(0)^{10}}{10}] $ $=1- 0.1 - 0$ $=0.9$.
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