00:01
There's actually a lot you need to figure out.
00:01
First of all, you need to figure out where x squared minus 9 equals 0, where you can add the 9 to the right side.
00:08
And when you square root, you get positive or negative 3.
00:12
So one of my x -intercepts will be a negative 3 here.
00:15
And it goes really far down.
00:18
But i'm more concerned about this region in here.
00:21
But then i also need to see where that x squared minus 9 is equal to 8x, where i would probably just subtract the 8x to the right side.
00:32
And factors of 9 that add to be negative 8 will be negative 9 plus 1.
00:38
So what are we looking at? x minus 9x plus 1.
00:44
And those points of intersection will be positive 9 and negative 1.
00:48
But you can see the one point of intersection that's all the way to the right, that's going to be positive 9.
00:53
So i guess i'm concerned about this negative 1 and then moving forward.
01:00
So what i would do to find this area is the integral from negative 3 to negative 1 of, it's actually going to be the opposite of this, because you want to do 0y equals 0 minus.
01:14
So it would be negative x squared plus 9 dx...