How do you find the average value of f ( x ) = x <mrow class="MJX-TeXAtom-ORD"

Ximena Skinner

Ximena Skinner

Answered question

2022-07-08

How do you find the average value of f ( x ) = x 5 2 x 3 2 as x varies between [-1, 1]?

Answer & Explanation

Alexzander Bowman

Alexzander Bowman

Beginner2022-07-09Added 19 answers

1 1 ( 1 ) 1 1 ( x 5 2 x 3 2 ) d x = 1 2 1 1 ( 2 ) d x
(The first two terms form an odd function whose integral from -1 to 1 is 0.)
= 1 2 ( 4 ) = 2

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