00:01
In this problem, we are given this function f equal to absolute value of x minus 2 root x on the interval from 0 to 5.
00:12
And we are going to compute the average of this function on this interval.
00:19
So average is given by, so either one of these notations, equal to 1 over the length of the interval, so 5 minus 0, integral from 0 to 5 dx, f of x.
00:39
We have 1 over 5, integral from 0 to 5 dx, absolute value of x minus 2 times root x.
00:53
So if, since we are dealing with some absolute value function, we need to identify the critical points for this function, namely the values of x where the argument of this absolute value function vanishes.
01:10
So if we set this guy equal to 0, we obtain x equal to 0 and x equal to 4.
01:20
So this means we need to split this integral at x equal to 0 and x equal to 4.
01:25
Since our lower limit is 0 already, we don't need to consider this critical value...