Chapter 12, Problem 3T

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# Evaluate the integrals in Problems 1-11. 3.   ∫ 5 ( x 2 − 1 )   d x

To determine

To calculate: The integral 5(x21)dx.

Explanation

Given Information:

The integral is;

âˆ«5(x2âˆ’1)dx

Formula used:

The power rule of integration is;

The integration of function f(x)=xn is given by;

âˆ«xndx=xn+1n+1+c nâ‰ âˆ’1

Here c is any arbitrary constant.

The sum rule is;

âˆ«f(x)Â±g(x)dx=âˆ«f(x)dxÂ±âˆ«g(x)dx

Calculation:

Provided integral is;

âˆ«5(x2âˆ’1)dx

The sum rule is;

âˆ«f(x)Â±g(x)dx=âˆ«f(x)dxÂ±âˆ«g(x)dx

Apply the sum

### 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