Answer
$0$
Work Step by Step
$\int_{\pi/4}^{3\pi/4} (csc\theta cot\theta) d\theta=[-csc\theta]_{\pi/4}^{3\pi/4}=[-csc\frac{3\pi}{4}]-[-csc\frac{\pi}{4}]=-\sqrt 2+\sqrt 2=0$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 5 - Section 5.4 - The Fundamental Theorem of Calculus - Exercises - Page 320: 11
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