00:01
Hi there.
00:02
In this question, we are given the graphlet of the function here, and the average value is being asked.
00:08
So first of all, let's remember what is the average value.
00:11
The average value is equal to for the interval ab, which is 1 over b minus a, the integral from a to b, f of x, dx.
00:20
So in this question, the interval is given as 032, and let's say the function is f of x.
00:28
So the average value for this.
00:30
Let me just write here.
00:31
Here, the average value here, which is equal to from 1 over 32 minus 0, integral from 0 to 32, f of x, d x.
00:45
So we need to first find the definite integral for this graph.
00:51
So we have to just find, first of all, the areas here.
00:56
So this is 4 and this is negative 2...