What is the average value of the function f(x)=\sin^{2}(x) on

Gustavo Lam

Gustavo Lam

Answered question

2022-04-18

What is the average value of the function f(x)=sin2(x) on the interval [0,π]?

Answer & Explanation

Nico Buck

Nico Buck

Beginner2022-04-19Added 9 answers

The question is posted under "Average Rate of Change"
The average rate of change of a continuous function f on a closed interval [a,b] is
f(b)f(a)ba.
In this case, we have sin2(π)sin2(0)π0=00π=0
The question asks for Average Value
The average value of an continuous function f on interval [a,b] is
1baabf(x)dx
Here, we have
1π00πsin2xdx=1π(π2)=12

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?