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: 70


$\tan \theta +C$

Work Step by Step

Given: $\int \dfrac{\csc \theta}{(\cos \theta \cot \theta)}$ Thus, $\int \dfrac{\csc \theta}{(\cos \theta \cot \theta)}=\int \dfrac{1/\sin \theta}{\cos \theta (\dfrac{\cos \theta}{\sin \theta})} =\int sec^2 \theta=\tan \theta +C$
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