Calculus (3rd Edition)

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



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 $\cos\theta =\sqrt{1-\sin^2\theta}.$
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