Calculus (3rd Edition)

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

Chapter 7 - Exponential Functions - 7.8 Inverse Trigonometric Functions - Exercises - Page 375: 101


$$\ln (\sin x)+c.$$

Work Step by Step

Using the fact that $\int u'/u=\ln u$, we have $$\int \cot x dx=\int \frac{1}{\tan x }dx =\int \frac{\cos x}{\sin x}dx\\ =\ln (\sin x)+c.$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.