Calculus (3rd Edition)

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

Chapter 8 - Techniques of Integration - Chapter Review Exercises - Page 460: 26


$$2 \ln |\sec x|+C$$

Work Step by Step

\begin{aligned} \int \sin 2 x \sec ^{2} x d x &=\int(2 \sin x \cos x) \cdot \frac{1}{\cos ^{2} x} d x \\ &=2 \int \frac{\sin x}{\cos x} d x \\ &=2 \int \tan x d x \\ &=2 \ln |\sec x|+C \end{aligned}
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.