   Chapter 12.1, Problem 32E ### 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

# In Problems 29-32, use algebra to rewrite the integrands; then integrate and simplify. ∫ x − 3 x   d x

To determine

To calculate: The value of the integral x3xdx.

Explanation

Given Information:

The provided integral is x3xdx

Formula used:

The properties of fraction:

A+BC=AC+BC (forC0)

The properties of integrals:

[u(x)±v(x)]dx=u(x)dx±v(x)dx.

The power formula of integrals:

xndx=xn+1n+1+C (forn1)

The power rule of differentiation:

ddx(xn)=nxn1

The properties of integrals:

dx=x+C

Calculation:

Consider the provided integral:

x3xdx

Now, use the algebraic identity:

A+BC=AC+BC

To simplify the integrand as:

x3xdx=(xx3x)dx=(xȡ

### 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 