Calculus (3rd Edition)

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



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}
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