Answer
$\dfrac{1}{3}e^{3x}-5e^{-x} +C$
Work Step by Step
Given: $\int (e^{3x}+5e^{-x}) dx$
Thus, $\int (e^{3x}+5e^{-x}) dx=\dfrac{1}{3}e^{3x}+5(-1)e^{-x}) +C=\dfrac{1}{3}e^{3x}-5e^{-x} +C$
University Calculus: Early Transcendentals (3rd Edition)
by Hass, Joel R.; Weir, Maurice D.; Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0321999584
ISBN 13:
978-0-32199-958-0
Chapter 4 - Section 4.8 - Antiderivatives - Exercises - Page 272: 51
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