Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.3 Derivatives Of Inverse Functions; Derivatives And Integrals Involving Exponential Functions - Exercises Set 6.3: 73

Answer

$C$

Work Step by Step

$ln(e^{x})$ can be rewritten as simply $x$ while $ln(e^{-x})$ can be written as $-x$. Simplifying yields $$\int({x-x})dx=\int0{dx}=C$$
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