   Chapter 12.3, Problem 15E ### 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 integrals in Problems 1-32. ∫ ( e 4 x − 3 e x / 2 ) d x

To determine

To calculate: The value of the integral (e4x3ex/2)dx.

Explanation

Given Information:

The provided integral is (e4x3ex/2)dx.

Formula used:

If u is a function of x, then:

euudx=eudu=eu+C

Calculation:

Consider the provided integral:

(e4x3ex/2)dx

Rewrite the integral as:

(e4x3ex/2)dx=e4xdx3ex/2dx

Now, consider u=4x for first integrand and u=x2 for second integrand

Then, the above integral became as,

eudx3eudx

Now, multiply and divide the first integrand by 4 and second integrand by 2 as:

eudx3eudx=144eudx+612eudx

### 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

#### Differentiate f and find the domain of f. f(x) = ln(x2 2x)

Single Variable Calculus: Early Transcendentals, Volume I

#### solve the equation by using the quadratic formula. 135. 4x2 + 5x 6 = 0

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

#### Convert the following percents to decimals. 9.

Contemporary Mathematics for Business & Consumers 