Calculus: Early Transcendentals 8th Edition

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: 60

Answer

$\frac{3}{7} \leq \int_{0}^{3} \frac{1}{x+4}~dx \leq \frac{3}{4}$

Work Step by Step

On the interval $0 \leq x \leq 3$: $\frac{1}{7} \leq \frac{1}{x+4} \leq \frac{1}{4}$ Therefore, by Property 8: $\frac{1}{7}(3-0) \leq \int_{0}^{3} \frac{1}{x+4}~dx \leq \frac{1}{4}(3-0)$ $\frac{3}{7} \leq \int_{0}^{3} \frac{1}{x+4}~dx \leq \frac{3}{4}$
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