Answer
$1$
Work Step by Step
Using the fact that $\frac{u'}{u}=\ln u $, we have
$$\int_1^{e} \frac{1}{x}dx =\ln x|_1^{e}=\ln e-\ln 1=1. $$
where used the properties $\ln e=1$ and $\ln 1=0$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 343: 108
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