Answer
$2x\sqrt{1-x^2}$
Work Step by Step
We have
$$\sin(2\theta)=2\sin \theta \cos\theta=2x\sqrt{1-x^2}
$$
where we used the fact that $\cos\theta =\sqrt{1-\sin^2\theta}.$
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 - 8.3 Trigonometric Substitution - Preliminary Questions - Page 409: 3
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