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

il2k3s2u7

il2k3s2u7

Answered question

2022-05-27

How do you find the average value of f ( x ) = x 5 2 x 3 + x as x varies between [-1, 0]?

Answer & Explanation

Diego Mathews

Diego Mathews

Beginner2022-05-28Added 6 answers

Explanation:
the average value is found using
1 b a a b f ( x )
where [a,b] = [-1, 0]
1 0 ( 1 ) 1 0 ( x 5 2 x 3 + x ) d x
= [ 1 6 x 6 1 2 x 4 + 1 2 x 2 ] 1 0
= 0 ( 1 6 1 2 + 1 2 ) = 1 6

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