00:01
Here we have a situation where we have the graph of a function and we want to calculate an integral of this function by interpreting in terms of area.
00:08
So let's start off by saying we have the integral from 0 to 2 of f of x dx.
00:14
So to interpret this in terms of area that means we just want to go from 0 to 2.
00:18
We want to find the area under this curve.
00:21
So i'm going to say you know what we've got a square here or sorry a rectangle and then a triangle.
00:26
So this rectangle is a 1 by 2 so that has an area of 2 and then the triangle has a 2 by 2 so that has an area of 4 divided by 2 which is again 2.
00:35
So that area is going to be 4.
00:37
Let's try one more.
00:39
How about if i did the integral from let's do the last one 0 to 9.
00:45
So i'm gonna have to go all the way over to here.
00:48
I'm gonna have to add up all sorts of areas.
00:50
So this one is an area of 3...