   Chapter 5.2, Problem 7E ### 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 . ∫ ( 1  +  x ) 3 ( 1 2 x )   d x

To determine

The u and dv from the provided indefinite integral (1+x)312xdx.

Explanation

Given Information:

The provided indefinite integral is (1+x)312xdx.

Consider the indefinite integral,

(1+x)312xdx

Let

1+x=u

Above equation can be written in rational exponent form as;

1+x12=u

Differentiate the above equation with respect to x;

ddx(1+x12)=dudxddx(1)+ddx

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