University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 4 - Section 4.8 - Antiderivatives - Exercises - Page 272: 56


$-\dfrac{1}{2} \cot x +\dfrac{1}{2} \csc x+C$

Work Step by Step

Given: $ \dfrac{1}{2} \int (\csc^2 x ) dx - \dfrac{1}{2} \int (\csc x \cot x) dx$ Thus, $\dfrac{1}{2} \int (\csc^2 x ) dx - \dfrac{1}{2} \int (\csc x \cot x) dx=-\dfrac{1}{2} \cot x +\dfrac{1}{2} \csc x+C$
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