Answer
True.
Work Step by Step
Using a substitution $x=asin\theta$ yields $$\sqrt{a^{2}-x^{2}}=\sqrt{a^{2}-a^{2}sin^{2}(\theta)}=\sqrt{a^{2}(1-sin^{2}(\theta))}=acos\theta$$ This simplifies the integral.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 7 - Principles Of Integral Evaluation - 7.4 Trigonometric Substitutions - Exercises Set 7.4 - Page 513: 27
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