   Chapter 13.2, Problem 25E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the definite integrals in Problems 1-32. ∫ 0 2 e 3 x d x

To determine

To calculate: The value of the integral 01e3xdx.

Explanation

Given Information:

The provided integral is 01e3xdx.

Formula used:

If f is a continuous function on the closed interval [a,b], then the value of the definite integral of f that exists on the interval is,

abf(x)dx=F(b)F(a)

Where F(x)=f(x) for all x in closed interval [a,b].

Integral formula,

exdx=ex+C

Calculation:

Consider the provided integral 01e3xdx.

Let the expression

(3x)=u.

Differentiate with respect to x.

d(3x)=du3dx=du

So, 3dx=du

Multiply and divide the numerator by 3 and rewrite the provided integral as

01e3xdx=01e3x×33dx=1301e3x×3dx

Now, substit

### 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

#### Find more solutions based on key concepts 