00:01
Okay, so first of all, let's sketch the graph of our function f of x.
00:07
This is the x -axis, this is the y -axis.
00:11
Now, we know that f of 0 is 2.
00:19
Then we have f of 4 equal to 6.
00:25
Perfect.
00:32
Then we know that f of 6 is equal to 6 again.
00:38
And our function looks like this so far.
00:45
This is, okay, this is 6.
00:51
Okay, f of 10 is 0 and we have another piece of our function.
01:04
Perfect.
01:05
F of 14, well, f of 14 is negative 6.
01:12
Okay, so negative 6 here, 14 here.
01:18
And finally, we know that f of 18 is negative 4.
01:33
So 18 here, negative 4 here.
01:48
Okay, now we can compute the integral from 4 to 0 of f of x in the x...