Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

Published by Brooks Cole
ISBN 10: 1-43904-957-2
ISBN 13: 978-1-43904-957-0

Chapter 5 - Accumulating Change: Limits of Sums and the Definite Integral - 5.9 Activities - Page 409: 11


$\dfrac {\left( \ln x\right) ^{2}}{2}+c$

Work Step by Step

$v=\ln x\Rightarrow dv=\dfrac {1}{x}dx$ $$\Rightarrow \int \dfrac {\ln x}{x}dx=\int \ln x\times \dfrac {1}{x}dx=\int vdv=\dfrac {v^{2}}{2}+c=\dfrac {\left( \ln x\right) ^{2}}{2}+c$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.