Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 5 - The Integral - 5.3 The Indefinite Integral - Exercises - Page 252: 19

Answer

$\int\frac{1}{\sqrt[3] x}dx=\frac{3}{2}x^\frac{2}{3}+C$

Work Step by Step

$\int\frac{1}{\sqrt[3] x}dx= \int x^{-\frac{1}{3}}dx= \frac{1}{\frac{2}{3}}x^{\frac{2}{3}}+C= \frac{3}{2}x^\frac{2}{3}+C$
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