How do you find the average value of

Celia Lucas

Celia Lucas

Answered question

2022-06-30

How do you find the average value of x 3 as x varies between 2 and 4?

Answer & Explanation

frethi38

frethi38

Beginner2022-07-01Added 16 answers

The function is continuous in the interval [2 ,4] and the average value from x = 2 to x = 4 is the integral.
1 4 2 2 4 x 3 d x
= 1 2 [ 1 4 x 4 ] 2 4
= 1 2 [ 1 4 × 4 4 1 4 × 2 4 ]
= 1 2 ( 64 4 ) = 30

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