00:01
So in this problem, we want to provide an estimate for the integral from 0 to 25 of a function f -of -x -d -x.
00:11
So consider that we have the interval from 0 to 25, and we are going to be given from 0 to 5, the interval from 0 to 5, the interval from 5 to 10th, the interval from 10 to 15th, the interval from 15 to 20, and the interval from 20 to 25.
00:32
So now let's use the lower estimates.
00:36
For a lower estimate, estimate, first note that they all have the same length, that delta x is always the same.
00:45
It's a fixed value, that's a 5.
00:48
Let's put this here as 25 minus 0 divided by the number of subinterables that we 1, 2, 3, 4, 5...