How do you find the average value of

Montenovofe 2022-07-08 Answered
How do you find the average value of f ( x ) = x as x varies between [0,4]?
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Answers (1)

Tristin Case
Answered 2022-07-09 Author has 15 answers
The integral average of f(x) over the interval (a,b) is calculated as:
f = 1 b a a b f ( x ) d x
In our case:
f = 1 4 0 4 x d x = 1 4 [ 2 3 x 3 2 ] 0 4 ( 4 4 ) = 4 3

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