How do you find the average value of the function for f ( x ) = <mroot> x 3 <

stud4kuj5bwn

stud4kuj5bwn

Answered question

2022-06-03

How do you find the average value of the function for f ( x ) = x 3 , 0 x 8?

Answer & Explanation

tabustudiofx52n

tabustudiofx52n

Beginner2022-06-04Added 6 answers

Explanation:
The average value of a function f(x) from a to b is given by 1 b a a b f ( x ) d x .
Just input f ( x ) = x 3 , a = 0 , b = 8 into the formula: 1 8 0 0 8 x 3 d x
Evaluate this integral using the power rule to get 1 8 [ 3 4 x 4 3 ] 0 8
This gives 1 8 3 4 8 4 3 0 = 3 2

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