   Chapter 6.2, Problem 2QY ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 1–6, use integration by parts to find the indefinite integral. ∫ ln   x 3   d x

To determine

To calculate: The solution of indefinite integral lnx3dx by the use integration by parts.

Explanation

Given Information:

The provided expression is, lnx3dx.

Formula used:

The formula for integration by parts is,

udv=uvvdu

Here, u and v be the differentiable functions x.

General Power Integral Rule,

undu=un+1n+1+C

Calculation:

Consider the provided expression,

lnx3dx

Rewrite.

lnx3dx=3lnxdx=3lnxdx

Let u=lnx and dv=dx

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