00:01
Here, we're given the integral from 0 to 2 of the absolute value of 6x minus 9, and we want to calculate this integral using simple geometry.
00:09
So let's graph this.
00:11
So first off, i want to say, well, where does this have a vertex? that's going to be by setting that stuff inside to 0.
00:18
So that's going to be add 9, divide by 6.
00:20
So this gives me 3 over 2.
00:23
So with x equals 1 .5, that's going to be the point where it hits the axis.
00:29
So it looks like this.
00:32
Where this is the point 1 .5.
00:35
Now we want to take the integral from 0 to 2.
00:39
So let's say here's 2 right there.
00:43
We have two triangles.
00:46
We have one here and we have one here...