   Chapter 8.7, Problem 33E

Chapter
Section
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 lnxx(3+2lnx) dx.

Formula used:

We will use formula 3 from the table of integrals:

ua+budu =1b2(bualn|a+bu|)+C

Calculation:

Compare the form of given Indefinite Integral with formula3 from the table of integrals a2u2:

ua+budu =1b2(bualn|a+bu|)+C

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

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