### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem 6-141

6-141.

Find and compare the average value of each of these functions over one complete cycle. Homework Help ✎

*f*(*t*) = sin*t**k*(*t*) = (sin*t*)^{2}

For each of the functions below, we are given *f*(*x*) and we want to find the average value of *f*(*x*).

*y* = sin*x* has a period of 2*π*.

So choose *a* and *b* values such that Δ*x* = 2*π*.

Compare the periods of *y* = |sin*x*| and y = sin*x*.

Did you realize that since