   Chapter 6, Problem 24RE ### 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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# Using Integration Tables In Exercises 23–30, use the integration table in Appendix C to find the indefinite integral. ∫ x 2 ( 7 + 2 x ) 3   d x

To determine

To calculate: The value of indefinite integral x2(7+2x)3dx.

Explanation

Given Information:

The provided expression is,

x2(7+2x)3dx

Formula used:

The integral formula,

u2(a+bu)3du=1b3(2aa+bua22(a+bu)2+ln|a+bu|)+C

General power differentiation Rule,

ddx[un]=nun1dudx

Calculation:

Consider the provided expression,

And compare from the formula

u2(a+bu)3du

So, in the provided expression, u=x, a=7, and b=2

Differentiate u=x by the use of power rule of differentiation.

du=dx

Consider the provided expression:

x2(7+2x)3dx

Substitute u for x, a for 7, b for 2, and du for dx

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