Answer
$$\int\cot xdx=\ln|\sin x|+C$$
Work Step by Step
$$A=\int\cot xdx$$ $$A=\int\frac{\cos x}{\sin x}dx$$
Let $u=\sin x$
Then we have $du=\cos xdx$.
Substitute into $A$: $$A=\int\frac{1}{u}du$$ $$A=\ln|u|+C$$ $$A=\ln|\sin x|+C$$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 5 - Section 5.5 - The Substitution Rule - 5.5 Exercises - Page 419: 41
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
