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 - 8.1 Exercises: 33

Answer

$2ln(1+e^x)+C$

Work Step by Step

$\int \frac 2 {e^{-x}+1}dx$ $u=1+e^x; du=e^xdx$ $2\int \frac 2 {e^{-x}+1}\times (\frac {e^x}{e^x})dx$ $2\int \frac {e^x}{1+e^x}dx$ $2ln(1+e^x)+C$
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