   Chapter 5.3, Problem 22E ### 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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# Using the log Rule for integration In Exercises 13–30, find the indefinite integral. See Examples 4, 5, and 6. ∫ x 2 3 − x 3   d x

To determine

To calculate: The indefinite integral x23x3dx.

Explanation

Given Information:

The provided indefinite integral is x23x3dx

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

Calculation:

Consider the indefinite integral:

x23x3dx

Let u=3x3, then derivative will be,

du=d(3x3)=3x2dx

Rewrite the integrand as:

133x2dx3x3

Substitute du for 3x2dx and u for 3x3 in provided integration

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