   Chapter 6.4, Problem 11E ### 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 7-20, determine whether the improper integral diverges or converges. Evaluate the integral if it converges. See Examples 1, 2, and 3. ∫ 5 ∞ 1 2 x − 1   d x

To determine

Whether the improper integral 512x1dx diverges or converges and to evaluate the integral if it converges.

Explanation

Given Information:

The expression is provided as, 512x1dx.

From the definition of improper integral.

af(x)dx=limbabf(x)dx

Also, the expression for the integration of a polynomial is as follows:

xndx=xn+1n+1+C; where n0.

The improper integral converges if the limit exists otherwise the improper integral diverges.

Consider the provided expression:

512x1dx

Use the property of improper integral and simplify as:

512x1dx=limb512x1dx

Integrate the integrand by substitution method as:

Assume 2x1=u

Differentiate as:

12x1

### 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 