Calculus 10th Edition

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

Chapter 8 - Integration Techniques, L'Hopital's Rule, and Improper Integrals - 8.3 Exercises: 28

Answer

$\tan^2\left(\frac{x}{2}\right) +C$

Work Step by Step

Find the indefinite integral $\int sec^2\frac{x}{2}tan\frac{x}{2}dx$ Use u-substitution, let $u=tan\frac{x}{2}$, $du=\frac{1}{2}sec^2\frac{x}{2}dx$ $2\int udu$ $u^2 +C$ $\tan^2\left(\frac{x}{2}\right) +C$
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