   Chapter 9.2, Problem 7SWU ### 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

# In Exercises 5-7, evaluate the definite or improper integral. ∫ 0 ∞ 3 e − 3 t d t

To determine

To calculate: The solution of the improper integral 03e3tdt

Explanation

Given Information:

The provided improper integral is 03e3tdt.

Formula used:

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

af(x)dx=limbabf(x)dx

According to the exponential rule of integrals,

exdx=ex+C

Calculation:

Consider the given equation,

I=03e3t

Now, use the formula, af(x)dx=limbabf(x)dx to rewrite the integral as,

I=03e3t=limb0b3e3tdx

Now, integrate,

I=limb0b3eȡ

### 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

#### Rationalize the numerator: x+yxy

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

#### In problems 63-73, factor each expression completely. 63.

Mathematical Applications for the Management, Life, and Social Sciences

#### Find an expression for the mean of the probability density function .

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