   Chapter 6, Problem 29RE ### 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 x   d x

To determine

To calculate: The value of indefinite integral 1+xxdx.

Explanation

Given Information:

The provided expression is

1+xxdx

Formula used:

The integral formula,

a+buudu=2a+bu+a1ua+budu

The integral formula,

1ua+budu=1aln|a+buaa+bu+a|+C

General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider the provided expression,

1+xxdx

Let, u=x

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

du=dx

Consider the provided expression:

1+xxdx

And rewrite as.

1+(1)xxdx

Now, compare it with the integral formula,

a+buudu

Here, a=1, b=1, u=x and du=dx

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