How do you find the average value of the function for f ( x ) = x <mrow class=

Damion Hardin

Damion Hardin

Answered question

2022-05-12

How do you find the average value of the function for f ( x ) = x 3 , 0 x 2?

Answer & Explanation

Gia Schaefer

Gia Schaefer

Beginner2022-05-13Added 16 answers

Explanation:
The average value is basically the area under the curve divided by the length of the base, i.e.:
1 2 0 0 2 x 3 d x = 1 2 [ 1 4 x 4 ] 0 2 = 1 8 ( ( 2 ) 4 ( 0 ) 4 ) = 1 8 ( 16 0 ) = 2

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