How do you find the average value of the function for f ( x ) = e <mrow class=

Maliyah Robles

Maliyah Robles

Answered question

2022-07-03

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

Answer & Explanation

Miguidi4y

Miguidi4y

Beginner2022-07-04Added 13 answers

Explanation:
By definition, the average value of a function f(x) over a domain [a,b] is given by:
f ( x ) = 1 b a a b f ( x ) d x
So, for the given function, f ( x ) = e x with 1 x 1, we have:
f ( x ) = 1 1 ( 1 ) 1 1 e x d x
= 1 2 [ e x ] 1 1
= 1 2 ( e e 1 )
= 1 2 ( e 1 e )
1.1752

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?