University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 5 - Section 5.4 - The Fundamental Theorem of Calculus - Exercises: 33

Answer

$\frac{1}{\pi}\cdot(4^{\pi}-2^{\pi})\approx21.981$

Work Step by Step

$\int_{2}^{4} (x^{\pi-1})dx=[\frac{x^{\pi}}{\pi}]_{2}^{4}=[\frac{4^{\pi}}{\pi}]-[\frac{2^{\pi}}{\pi}]=\frac{1}{\pi}\cdot(4^{\pi}-2^{\pi})\approx21.981$
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