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 $2x=\sec u$.
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
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