University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 4 - Section 4.8 - Antiderivatives - Exercises - Page 271: 19


a) $\dfrac{1}{3} e^{3x}+C$ b) $- e^{-x}+C$ c) $2 e^{x/2}+C $

Work Step by Step

a) The anti-derivative is: $\int (e^{3x}) dx=\dfrac{1}{3} e^{3x}+C$ b) The anti-derivative is: $\int e^{-x} dx=- e^{-x}+C$ c) The anti-derivative is: $ \dfrac{1}{1/2} e^{x/2}+C=2 e^{x/2}+C $
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