Answer
$\cot \theta. $
Work Step by Step
By making use of Theorem 1 (FTC II), we have
$$
\frac{d}{d \theta} \int_{1}^{\theta} \cot u d u=\cot \theta.
$$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 5 - The Integral - 5.5 The Fundamental Theorem of Calculus, Part II - Exercises - Page 262: 22
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