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 - Page 320: 33

Answer

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

Work Step by Step

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

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.