   Chapter 6.2, Problem 3CP ### 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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# Checkpoint 3Use the integration table in Appendix C to find ∫ 1 x 2 − 4   d x .

To determine

To calculate: The value of indefinite integral 1x24dx.

Explanation

Given Information:

The integral is provided as:

1x24dx

Formula used:

(1) The formula 21 for integral 1u2a2du is:

1u2a2du=12aln|uau+a|+C

(2) 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:

1x24dx

Rewrite.

1x24dx=1x222dx

Here, a=2, u=x and du=dx

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