How do you find the average value of:

Karla Thompson

Karla Thompson

Answered question

2022-04-16

How do you find the average value of: f(x)=8sinx+6cosx on the interval [0,10π6]?

Answer & Explanation

Sabrina Campos

Sabrina Campos

Beginner2022-04-17Added 13 answers

The average value of a function f on an interval [a,b] is found by:
evaluate abf(x)dx then divide by the length of the interval, b-a
So, find 010π6(8sinx+6cosx)dx.
Then divide that number by 10π6 (or. better yet, divide by 5π3)

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