What is the average value of the function f(x)=4-x^{2} on

Karla Thompson

Karla Thompson

Answered question

2022-04-16

What is the average value of the function f(x)=4x2 on the interval [-2,2]?

Answer & Explanation

Jameson Jensen

Jameson Jensen

Beginner2022-04-17Added 16 answers

For a continuous function on the closed interval [a ,b] the average value from x = a to x = b is
1baabf(x)dx
12(2)22(4x2)dx
=14[4xx33]22
=14[(883)(8+83)]=14(323)=83

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