   Chapter 6, Problem 23RE ### 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. ∫ 1 x ( 2 + 3 x ) 2   d x

To determine

To calculate: The value of indefinite integral 1x(2+3x)2dx.

Explanation

Given Information:

The integral is provided as:

1x(2+3x)2dx

Formula used:

The formula 11 for integral 1u(a+bu)2du is:

1u(a+bu)2du=1a(1a+bu+baln|ua+bu|)+C

General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider u=x.

Differentiate the considered function with respect to x using power rule of differentiation.

du=dx

Consider the provided integral:

1x(2+3x)2dx

Here, a=2, b=3, u=x and du=dx.

Substitute u for x, a for 2, b for 3, and du for dx

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