Calculus (3rd Edition)

by Rogawski, Jon; Adams, Colin

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: 2

Answer

One possible trig substitution: $x=\frac{1}{2}\sec u$.

Work Step by Step

We notice that $sec^2 \theta-1=tan^2 \theta$. Thus, we can simplify the inside of the root by making the trigonometric substitution $2x=\sec u$.

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