   Chapter 6, Problem 21RE ### 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. ∫ 1 x x 2 + 64   d x ,   Formula   28

To determine

To calculate: The value of indefinite integral 1xx2+64dx.

Explanation

Given Information:

The integral is provided as:

1xx2+64dx

Formula used:

The formula 28 for integral 1uu2+a2du is:

1uu2+a2du=1aln|a+u2+a2u|+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:

1xx2+64dx

Rewrite.

1xx2+64dx=1xx2+82dx

Here, a=8, u=x and du=dx.

Substitute u for x, a for 8, and du for dx

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