   Chapter 4.R, Problem 17TFQ

Chapter
Section
Textbook Problem

# Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. ∫ − 2 1 1 x 4 d x = − 3 8

To determine

The given statement is true or false.

Explanation

Recall the comparison property of an integral

If fx0 for axb, then abfxdx0

Given,

fx=1x4; -2x1

The function  f  is not bounded on the interval -2x1  & has infinite discontinuity at  x=0 so it is not integrable on the given interval. So the given statement is meaningless and hence false. Even if the integral were to exist, then it is non negative because a definite integral of non- negative function on that interval is always non- negative

### 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

#### Simplify Simplify the rational expression. 18. x2x2x21

Precalculus: Mathematics for Calculus (Standalone Book)

#### Differentiate the function. y = ln(csc x cot x)

Single Variable Calculus: Early Transcendentals, Volume I

#### Simplify: 912

Elementary Technical Mathematics

#### The area of the region bounded by , , and r = sec θ is:

Study Guide for Stewart's Multivariable Calculus, 8th 