How do you find the average value of the function for f ( x ) = 1 &#x2212;<!-- − -->

myntfalskj4

myntfalskj4

Answered question

2022-07-05

How do you find the average value of the function for f ( x ) = 1 x 4 , 1 x 1?

Answer & Explanation

kawiarkahh

kawiarkahh

Beginner2022-07-06Added 15 answers

Explanation:
The average value is given by
A = 1 b a a b f ( x ) d x
Where f(x) is a continuous function on [a,b].
A = 1 1 ( 1 ) 1 x 4
A = 1 2 [ ( x 1 5 x 5 ) ] 1 1
A = 1 2 ( 1 1 5 ( 1 1 5 ( 1 ) 5 ) )
A = 1 2 ( 4 5 + 1 1 5 )
A = 1 2 ( 8 5 )
A = 4 5

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