What is the average value of the function f(x)=18x+8 on the interval [0, 10]?

Ayaan Barr

Ayaan Barr

Answered

2022-07-15

What is the average value of the function f(x)=18x+8 on the interval [0, 10]?

Answer & Explanation

eurgylchnj

eurgylchnj

Expert

2022-07-16Added 14 answers

The average value of f on [a,b] is
1 b a a b f ( x ) d x .
For this problem, that is
1 10 0 0 10 ( 18 x + 8 ) d x = 1 10 [ 9 x 2 + 8 x ] 0 10
= 1 10 [ 980 ] = 98

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