Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter 7 - Integration - Chapter Review - Review Exercises - Page 417: 2

Answer

False

Work Step by Step

\[\begin{align} & \int{{{x}^{n}}}dx=\frac{{{x}^{n+1}}}{n+1}+C,\text{ where }n\ne -1 \\ & \text{Therefore, the statement is false, if }n=-1 \\ & \int{{{x}^{n}}}dx=\int{{{x}^{-1}}}dx \\ & =\int{\frac{1}{x}}dx=\ln \left| x \right|+C \\ & \text{False} \\ \end{align}\]
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