Calculus: Early Transcendentals 8th Edition

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

Chapter 5 - Section 5.4 - Indefinite Integrals and the Net Change Theorem - 5.4 Exercises - Page 409: 50



Work Step by Step

Since $y = \sqrt[4] x$, then $x = y^4$ We can evaluate the integral to find the area of the region: $\int_{0}^{1}y^4~dy$ $=\frac{y^5}{5}~\vert_{0}^{1}$ $=(\frac{1^5}{5})-(\frac{0^5}{5})$ $=\frac{1}{5}$
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