   Chapter 6, Problem 51RE ### 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

# Evaluating an Improper Integral In Exercises 51–56, determine whether the improper integral diverges or converges. Evaluate the integral if it converges. ∫ − ∞ − 1 1 x 5   d x

To determine

To calculate: The value of the improper integral 11x5dx if it converges.

Explanation

Given Information:

The provided expression is:

11x5dx

Formula used:

From definition of improper integral.

If on the interval (,b], the function is continuous, then

bf(x)dx=limaabf(x)dx

Here, the improper integral converges if the limit exists and otherwise it diverges.

The integral formula

xndx=xn+1n+1+C

Calculation:

Consider the provided expression:

11x5dx

Use the definition of improper integral bf(x)dx=limaabf(x)dx

And simplify as:

11x5dx=limbb11x5dx

Use the formula xndx=xn+1n+1+C and evaluate

### 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

#### Evaluate the indefinite integral. cos(1+5t)dt

Single Variable Calculus: Early Transcendentals, Volume I

#### In problems 23-58, perform the indicated operations and simplify. 43.

Mathematical Applications for the Management, Life, and Social Sciences

#### In Exercises 5-8, find the values of the variables. [3xy3]=

Finite Mathematics for the Managerial, Life, and Social Sciences

#### Find for defined implicity by .

Study Guide for Stewart's Multivariable Calculus, 8th

#### Solve 4y6=9y+28for y.

Mathematics For Machine Technology 