   Chapter 6, Problem 19RE ### 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 19–22, use the indicated formula from the integration table in Appendix C to find the indefinite integral. ∫ x 2 2 + 3 x   d x ,     Formula   6

To determine

To calculate: The value of indefinite integral x22+3xdx.

Explanation

Given Information:

The integral is provided as:

x22+3xdx

Formula used:

The formula 6 for integral u2a+budu is:

u2a+budu=1b3(bu2(2abu)+a2ln|a+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:

x22+3xdx

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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