What is the average value of the function f(x)=\sin 4x

alahovom7ahc

alahovom7ahc

Answered question

2022-04-18

What is the average value of the function f(x)=sin4x on the interval [π,π]?

Answer & Explanation

legaldaj1dn

legaldaj1dn

Beginner2022-04-19Added 9 answers

The average value of an continuous function f on interval [a,b] is
1baabf(x)dx.
Here, we have
1π(π)ππsin4xdx=12π[14cos(4x)]ππ
=18π[cos(4π)cos(4π)]=18π[0]=0

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?