Answer
No
Work Step by Step
Given $$\int \sin ^{7} x \cos ^{2} x d x$$
Since the power of $\sin x$ is odd, then the reduction is not needed.
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 - 8.2 Trigonometric Integrals - Preliminary Questions - Page 403: 3
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