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

Keenan Santos 2022-07-05 Answered
What is the average value of the function f ( x ) = x ( x 2 ) on the interval [0,2]?
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Answers (1)

Pranav Greer
Answered 2022-07-06 Author has 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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