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: 20


a) $-\dfrac{1}{2} e^{-2x}+C$ b) $\dfrac{3}{4} e^{4x/3}+C$ c) $ \dfrac{1}{-1/5} e^{-x/5}+C=-5e^{-x/5}+C$

Work Step by Step

a) The anti-derivative is: $ \dfrac{1}{-2} e^{-2x}+C=-\dfrac{1}{2} e^{-2x}+C$ b) The anti-derivative is:$ \dfrac{1}{4/3} e^{4x/3}+C=\dfrac{3}{4} e^{4x/3}+C$ c) The anti-derivative is:$ \dfrac{1}{-1/5} e^{-x/5}+C=-5e^{-x/5}+C$
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