CPM Homework Help : CALC Problem 6-141

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

Hint:

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

$f(t) =\operatorname{sin} t$
Hint (a):
$y =\operatorname{sin}x$ has a period of $2π$ .
So choose $a$ and $b$ values such that $Δx = 2π$ .

$g ( t ) = | \operatorname { sin } t |$
Hint (b):
Compare the periods of $y = |\operatorname{sin}x|$ and $y =\operatorname{sin}x$ .