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 271: 17


a) $-\csc x+C$ b) $\dfrac{1}{5} \csc 5x+C$ c) $2\csc\dfrac{\pi x}{2}+C $

Work Step by Step

a) The anti-derivative for $\csc x \cot x$ is $-\csc x+C$ b) The anti-derivative is: $-\csc 5x \cot 5x= \dfrac{1}{5} \csc 5x+C$ c) The anti-derivative is: $-\pi \csc \dfrac{2}{\pi} \cot \dfrac{\pi x}{2}+C =2\csc\dfrac{\pi x}{2}+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.