Answer
$$2-\frac{\pi}{2}$$
Work Step by Step
\begin{aligned}
\int_{\pi / 2}^{\pi} \cot ^{2} \frac{\theta}{2} d \theta &=\left[-2 \cot \frac{\theta}{2}-\theta\right]_{\pi / 2}^{\pi}
\\ &=2+\frac{\pi}{2}-\pi \\
&= 2-\frac{\pi}{2}\end{aligned}
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 - Chapter Review Exercises - Page 460: 32
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
