Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.4 Exercises: 108

Answer

$\ln|\csc(e^{2x})+\cot(e^{2x})|)+C$

Work Step by Step

$\int e^{2x} csc(e^{2x})dx$ let $e^{2x}=u$ $2e^{2x}dx=du$ $\int e^{2x} csc(e^{2x})dx$ $=\frac{1}{2}\int csc(u)du$ $=\frac{1}{2}(-ln|csc(u)+cot(u)|)+C$ $=\frac{1}{2}(-ln|csc(e^{2x})+cot(e^{2x})|)+C$
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.