Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 4: Applications of Derivatives - Section 4.7 - Antiderivatives - Exercises 4.7 - Page 238: 1

Answer

a) $x^{2} + C$ b) $\frac{x^{3}}{3} + C$ c) $\frac{x^{3}}{3} - x^{2} + x + C$

Work Step by Step

a) The antiderivative is : Thus, $2\frac{x^{1+1}}{1+1} + C = x^{2} + C$ b) The antiderivative is: Thus, $\frac{x^{2+1}}{2+1} + C = \frac{x^{3}}{3} + C$ c) The antiderivative is: Thus, $\frac{x^{2+1}}{2+1} - 2\frac{x^{1+1}}{1+1} + \frac{x^{0+1}}{0+1} + C = \frac{x^{3}}{3} - x^{2} + x + C$
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