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: 53

Answer

$10arcsin(e^t)+C$

Work Step by Step

$\frac {dr}{dt}=\frac {10e^t}{\sqrt{1-e^{2t}}}$ $r=\int \frac {10e^t}{\sqrt{1-(e^t)^2}}$ $10arcsin(e^t)+C$
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