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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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Finding u and du/dx In Exercises 1-8, identify u and d u / d x for the integral u n ( d u / d x ) d x .

( 4 -  x ) 2 ( 1 2 x )   d x

To determine

The u and dv from the provided indefinite integral (4x)2(12x)dx.

Explanation

Given Information:

The provided indefinite integral is (4x)2(12x)dx.

Consider the indefinite integral,

(4x)2(12x)dx

Let

4x=u

Above equation can be written in rational exponent form as

4x12=u

Differentiate the above equation with respect to x

ddx(4x12)=dudxddx(4)ddx

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