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: 18


a) $\sec x+C$ b) $\dfrac{4}{3} \sec 3x+C$ c) $\dfrac{2}{\pi} \sec\dfrac{\pi x}{2}+C $

Work Step by Step

a) The anti-derivative for $\sec x \tan x$ is $\sec x+C$ b) The anti-derivative is: $4(\dfrac{1}{3} \sec 3x)+C=\dfrac{4}{3} \sec 3x+C$ c) The anti-derivative is: $ \dfrac{1}{\pi/2} \sec \dfrac{\pi x}{2}+C =\dfrac{2}{\pi} \sec\dfrac{\pi x}{2}+C $
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