   Chapter 6.2, Problem 43E ### 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 37– 44, use the integration table in Appendix C to evaluate the definite integral. See Example 4. ∫ 1 3 1 x 2 x 2 + 5   d x

To determine

To calculate: The solution of definite integral 131x2x2+5dx.

Explanation

Given Information:

The provided definite integral is;

131x2x2+5dx

Formula used:

The formula for the integral 1u2u2±a2du is:

1u2u2±a2du=u2±a2a2u+C

The 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 expression:

131x2x2+5dx

Rewrite.

131x2x2+5dx=131x2x2+(51/2)2dx

Here, a=51/2, u=x and du=dx.

Substitute u for x, a for 51/2, and du for dx

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