What is the average value of the function f ( x ) = x &#x2212;<!-- − --> ( x

Keenan Santos

Keenan Santos

Answered question

2022-07-05

What is the average value of the function f ( x ) = x ( x 2 ) on the interval [0,2]?

Answer & Explanation

Pranav Greer

Pranav Greer

Beginner2022-07-06Added 13 answers

For this function on this interval, I get 1 3
Ave = 1 2 0 0 2 ( x x 2 ) d x
= 1 2 [ x 2 2 x 3 3 ] 0 2
= 1 2 [ ( 4 2 8 3 ) ( 0 ) ]
= 1 2 ( 2 3 ) = 1 3

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