Answer
$\frac{1}{2}$
Work Step by Step
Let $ u=\ln x $, then $ du=\frac{1}{x}dx $.
Now, we have
$$\int_1^e \frac{\ln x}{x}dx =\int_0^1 udu
= \frac{1}{2}u^2|_0^1\\
=\frac{1}{2}(1-0)=\frac{1}{2}.$$
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 - Chapter Review Exercises - Page 387: 73
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
