   Chapter 5, Problem 23RE ### 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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# Applying the General Power Rule In Exercises 21–32, find the indefinite integral. Check your result by differentiating. ∫ ( 5 x + 1 ) 4 ( 5 )   d x

To determine

To calculate: The indefinite integral (5x+1)4(5)dx.

Explanation

Given Information:

The provided indefinite integral is (5x+1)4(5)dx.

Formula used:

The power rule of integrals:

undu=un+1n+1+C (n1)

The power rule of differentiation:

ddxun=nun1+C

Calculation:

Consider the indefinite integral:

(5x+1)4(5)dx

Let u=5x+1, then derivative will be,

du=d(5x+1)=5dx

Substitute du for 5dx and u for 5x+1 in provided integration

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