Answer
$0 \leq \int_{0}^{1} x^3~dx \leq 1$
Work Step by Step
On the interval $0 \leq x \leq 1$:
$0 \leq x^3 \leq 1$
Therefore, by Property 8:
$0(1-0) \leq \int_{0}^{1} x^3~dx \leq 1(1-0)$
$0 \leq \int_{0}^{1} x^3~dx \leq 1$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 5 - Section 5.2 - The Definite Integral - 5.2 Exercises - Page 390: 59
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