   Chapter 6.4, Problem 10E ### 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. ∫ 0 ∞ 5 e 2 x   d x

To determine

Whether the improper integral 05e2xdx diverges or converges and to evaluate the integral if it converges.

Explanation

Given Information:

The expression is provided as, 05e2xdx.

From the definition of improper integral.

af(x)dx=limbabf(x)dx

Also, the expression for the integration of an exponential is as follows:

eaxdx=eaxa+C; where a0.

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

Consider the provided expression:

05e2xdx

Use the property of improper integral and simplify as:

05e2x

### 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

#### Expand each expression in Exercises 122. (xx2)(x+x2)

Finite Mathematics and Applied Calculus (MindTap Course List)

#### In Exercises 1124, find the indicated limits, if they exist. 21. limxx2x21

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

#### In Exercises 1-8, determine which of the matrices are regular. [10.800.2]

Finite Mathematics for the Managerial, Life, and Social Sciences 