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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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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. See Example 3.

Original Integral Rewrite Integrate Simplify

1 2 x 3 d x

To determine

To calculate: The indefinite integral 12x3dx by rewriting it before.

Explanation

Given Information:

The indefinite integral 12x3dx

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,

12x3dx

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

12x3dx=12×1x3dx=12×1x3dx=12x3dx

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

12x3dx=12[

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