Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 93


$$\ln |\sin x|+c $$

Work Step by Step

We have $$\int \cot x dx = \int \frac{\cos x}{\sin x}dx=\\ \ln |\sin x|+c $$ Where we used the facts that $(\sin u)'=\cos u $ and $\int \frac{u'}{u}=\ln u $.
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