   Chapter 6.2, Problem 23E ### 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 9–36, use the integration table in Appendix C to find the indefinite integral. See Examples 1, 2,3, and 5. ∫ 3 + x 2   d x

To determine

To calculate: The solution of indefinite integral 3+x2dx.

Explanation

Given Information:

The expression is provided as, 3+x2dx.

Formula used:

The formula for integral u2±a2du is,

u2±a2du=12(uu2±a2±a2ln|u+u2±a2|)+C

Calculation:

Let u=x.

Differentiate the above function with respect to x,

du=dx

Consider the provided expression,

3+x2dx

Rewrite.

3+x2dx=(31/2)2+x2dx

Here, a=31/2, u=x and du=dx.

Substitute u for x, a for 31/2, and du for dx

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