Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 13 - Section 13.1 - The Indefinite Integral - Exercises - Page 958: 15

Answer

$\displaystyle \frac{u^{3}}{3}-\ln|u|+C$

Work Step by Step

$\displaystyle \int(u^{2}-u^{-1})du= $...Sum and Difference RuIes $=\displaystyle \int u^{2}du-\int u^{-1}du=$ ... Power Rule, for $n\neq-1, $and for $n=-1$ $=\displaystyle \frac{u^{2+1}}{2+1}-\ln|u|+C$ $=\displaystyle \frac{u^{3}}{3}-\ln|u|+C$
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