   Chapter 13.3, Problem 3CP ### 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

# CHECKPOINTCHECKPOINTFind the average value of f ( x ) =   x 2 −   4  over  [ − 1 ,   3 ] .

To determine

To calculate: The average value of the function f(x)=x24 over the interval [1,3].

Explanation

Given information:

The provided equation is:

f(x)=x24 and the interval is [1,3]

Formula used:

Average value

The average value of a continuous function y=f(x) over the interval [a,b] is:

Average value=1baabf(x)dx

Calculation:

The provided function is:

f(x)=x24

And the interval is [1,3]

Consider the formula:

Average value=1baabf(x)dx

Substitute 1 for a and 3 for b and x24 for f(x) in above equation to get:

Average value=13(1)13(x24)dx

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