   Chapter 5.2, Problem 5E ### 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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# 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  +  1 x 2 ) 5 ( − 2 x 2 )   d x

To determine

The u and dv from the provided indefinite integral (4+1x2)5(2x3)dx.

Explanation

Given Information:

The provided indefinite integral is (4+1x2)5(2x3)dx.

Consider the indefinite integral,

(4+1x2)5(2x3)dx

Let

4+1x2=u

Use the identity am=1am in the above equation;

4+x2=u

Differentiate the above equation with respect to x;

ddx(4+x2)=d

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