   Chapter 13.7, Problem 15E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 1-20, evaluate the improper integrals that converge. 15.   ∫ − ∞ − 1 6 x   d x

To determine

To calculate: The value of the improper integral 16xdx if it converges.

Explanation

Given Information:

The provided integral is,

16xdx

Formula used:

According to the logarithmic rule of integrals,

x1dx=ln|x|+C

If the limit defining the improper integral is a unique finite number, then integral converges else it diverges,

bf(x)dx=limaabf(x)dx

Calculation:

Consider the provided integral,

16xdx

Now, use the formula,

bf(x)dx=limaabf(x)dx

To rewrite the integral as,

1

### 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

#### In Exercises 516, evaluate the given quantity. log100,000

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Divide: 48+6

Elementary Technical Mathematics

#### Evaluate . e + 1

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

#### Describe the purpose of a dismantling design.

Research Methods for the Behavioral Sciences (MindTap Course List) 