   Chapter 6, Problem 32RE ### 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
1 views

# Using Integration Tables In Exercises 31 and 32, use the integration table in Appendix C to evaluate the definite integral. ∫ − 1 3 1 ( x 2 + 2 ) 3 / 2   d x

To determine

To calculate: The value of definite integral 131(x2+2)3/2dx.

Explanation

Given Information:

The provided expression is,

131(x2+2)3/2dx

Formula used:

The integral formula is,

1(u2±a2)3/2du=±ua2u2±a2+C

General power differentiation Rule:

ddx[un]=nun1dudx

Calculation:

Consider the provided expression,

131(x2+2)3/2dx

Let, u=x

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

du=dx

Consider the provided expression,

131(x2+2)3/2dx

And rewrite as.

131(x2+2)3/2dx=131(x2+(21/2)2)3/2dx

Now, compare it with the integral formula,

1(u2±a2)3/2du

Here, a=21/2, u=x and du=dx

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Use continuity to evaluate the limit. limx2x20x2

Single Variable Calculus: Early Transcendentals, Volume I

#### In Exercises 13-20, sketch a set of coordinate axes and plot each point. 20. (1.2, 3.4)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

#### 5. True or false. (a) (b) (c)

Mathematical Applications for the Management, Life, and Social Sciences 