   Chapter 5.1, Problem 24E ### 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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# Rewriting Before Integrating In Exercises 19-24, find the indefinite integral. SeeExample 3.Original Integral Rewrite Integrate Simplify ∫ 1 ( 3 x ) 2 d x

To determine

To calculate: The indefinite integral 1(3x)2dx by rewriting it before.

Explanation

Given Information:

The indefinite integral 1(3x)2dx

Formula used:

The power rule of the integration is

xndx=xn+1n+1+C,       n1

The constant multiple rule of the integration is

kf(x)dx=kf(x)dx

Calculation:

Consider the provided indefinite integral,

1(3x)2dx

Use constant multiple rule of integration and rewrite the above integral in the form xndx,

1(3x)2dx=19x2dx=19×1x2dx=19×1x2dx=19x2dx

Use power rule of integration and integrate the above integral as follows:

19x"

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