How do you find the average value of the function for f ( x ) = 1 x </mfrac>

deceptie3j

deceptie3j

Answered question

2022-06-25

How do you find the average value of the function for f ( x ) = 1 x , 1 x 4?

Answer & Explanation

Patricia Curry

Patricia Curry

Beginner2022-06-26Added 15 answers

Explanation:
The average value is.
1 b a a b f ( x ) d x
= 1 4 1 1 4 ( 1 x ) d x
= 1 3 [ ln x ] 1 4
= 1 3 [ ln 4 ln 1 ]
= ln 4 3 0.462 to 3dec. places

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