00:01
You're going to find the exact area of this equation using riemann sum and limits.
00:06
So first things first, let's find our delta x.
00:09
And notice that we don't have an n.
00:11
That's because that's our limit.
00:13
So we will be solving for the limit as n approaches infinity.
00:18
So our area is equal to the limit as n approaches infinity.
00:23
And we're doing a summation of i is equal to 1 -2 -n times.
00:30
The f of, and we start off at 1, so 1 plus 2 over n, i, times 2 over n.
00:38
And i will explain these.
00:40
So this part right here represents how we increase our values by.
00:46
So let's say if we were given a delta x and it's 0 .5, then our answer would go 1, 1 .5 to 2, 2 .5 to 3.
00:58
And notice how it keeps going up.
01:02
This is our eye right there.
01:04
That represents our eye.
01:06
And so this is just taking the function of all those i values, which we do when we take a remand sum, and we always multiply it by our delta x.
01:16
So i know it may look confusing at first, but it's actually pretty self -isplanatory.
01:22
At this port, i'm just going to drop the limit and the summation just because it gets tedious, and i'm just going to solve for this, but no, they are still there...