Answer
$\frac{\pi}{2}-1$
Work Step by Step
Evaluate the Definite integration
$\int_{\frac{\pi}{4}}^{\frac{\pi}{2}}( 2-csc^2x)dx$
$[2x+cotx]_{\frac{\pi}{4}}^{\frac{\pi}{2}}$, Integrate
$(\pi+0)-(\frac{\pi}{2}+1)$
$\frac{\pi}{2}-1$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 4 - Integration - 4.4 Exercises - Page 288: 32
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