What is the average value of a function

anginih86

anginih86

Answered question

2022-06-16

What is the average value of a function y = 7 sin x on the interval [ 0 , π ]?

Answer & Explanation

Blaze Frank

Blaze Frank

Beginner2022-06-17Added 18 answers

Explanation:
The average value of a function y=f(x) from x=a to x=b is
y ¯ = a b f ( x ) d x b a
Therefore,
y ¯ = 0 π 7 sin x d x π 0
= 7 π [ cos x ] 0 π
= 7 π [ 1 + 1 ]
= 14 π

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