Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 8 - Techniques of Integration - 8.6 Strategies for Integration - Exercises - Page 431: 52


$$\frac{4}{5}\sec ^{\frac{5}{4}}\left(x\right)+C$$

Work Step by Step

\begin{align*} \int \tan x \sec ^{5 / 4} x d x&=\int \sec ^{1 / 4} x \tan x \sec x d x\\ &=\frac{4}{5}\sec ^{\frac{5}{4}}\left(x\right)+C \end{align*}
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