How do you find the average value of the function

glitinosim3 2022-07-01 Answered
How do you find the average value of the function for f ( x ) = sin x , 0 x π?
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Answers (1)

Nicolas Calhoun
Answered 2022-07-02 Author has 15 answers
Explanation:
Use the average value formula where the average value of a function f(x) on the closed interval [a,b] is:
1 b a a b f ( x ) d x
So, plug in our function f ( x ) = sin x over the interval [ 0 , π ] :
1 π 0 π ( sin x ) d x
= 1 π [ cos x ] 0 π
= 1 π [ ( cos π ) ( cos 0 ) ]
= 1 π [ ( 1 ) ( 1 ) ]
= 2 π
.63662

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