Chapter 8.7, Problem 33E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Finding an Indefinite Integral In Exercises 19-40, use a table of integrals to find the indefinite integral. ∫ ln x x ( 3 + 2 ln x ) d x

To determine

To calculate: The value of the indefinite integral lnxx(3+2lnx) dx using the table of integrals.

Explanation

Given: We are given with the IndefiniteIntegral expression âˆ«lnxx(3+2lnx)Â dx.

Formula used:

We will use formula 3 from the table of integrals:

âˆ«ua+buduÂ =1b2(buâˆ’aln|a+bu|)+C

Calculation:

Compare the form of given Indefinite Integral with formula3 from the table of integrals a2âˆ’u2:

âˆ«ua+buduÂ =1b2(buâˆ’aln|a+bu|)+C

We assume that a=3,b=2 and u=lnx

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started