Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 4 - Integration - 4.1 Exercises: 7

Answer

Rewrite: $\int x^{\frac{1}{3}}dx$ Integrate: $\int x^{\frac{1}{3}}=\dfrac{1}{\frac{1}{3}+1}\times x^{\frac{1}{3}+1}+C$ Simplify: $\int x^{\frac{1}{3}}=\dfrac{3x^{\frac{4}{3}}}{4}+C$

Work Step by Step

Rewrite the radical as a power. Integrate using the basic integration rules. Add and multiply out the numbers and add a constant $C.$
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