   Chapter 5.3, Problem 18E ### 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. ∫ 1 6 x − 5 d x

To determine

To calculate: The indefinite integral 16x5dx.

Explanation

Given Information:

The provided indefinite integral is 16x5dx

Formula used:

The logarithmic rule of integrals:

duu=ln|u|+C

Calculation:

Consider the indefinite integral:

16x5dx

Let u=6x5, then derivative will be,

du=d(6x5)=6dx

Rewrite the integrand as:

166dx6x5

Substitute du for 6dx and u for 6x5 in provided integration

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