Answer
$\frac{1}{3}(ln(x))^3+C$
Work Step by Step
$\int\frac{(ln(x)^2)}{x}dx$
let u = $ln(x)$
du = $\frac{1}{x}dx$
$\int u^2 du = \frac{1}{3}u^3+C$
$=\frac{1}{3}(ln(x))^3+C$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.2 Exercises - Page 334: 21
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.
