Answer
$\frac{3\pi^2}{2}$
Work Step by Step
Because $\pi\lt2\pi$, by Equation (2): $\int_{\pi}^{2\pi} \theta d\theta=\frac{(2\pi)^2}{2}-\frac{(\pi)^2}{2}=\frac{4\pi^2}{2}-\frac{\pi^2}{2}=\frac{3\pi^2}{2}$
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 5.3 - The Definite Integral - Exercises - Page 309: 31
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