Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 4 - Integrals - 4.4 Indefinite Integrals and the Net Change Theorem - 4.4 Exercises - Page 336: 12


$\frac{u^3}{3} + u - \frac{1}{u} + C$

Work Step by Step

We can evaluate each term's integral separately and take the sum of the results, which would be $\frac{u^3}{3} + u - \frac{1}{u} + C$ It is important to note for the third term that there is a negative present from the exponent, as $\frac{1}{u^2} = u^{-2}$ Lastly, we need to include the constant $C$ since the indefinite integral has an unknown constant that must be accounted for.
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