00:01
For this problem you are to find the area of the region that's bounded by the parabola y equals x squared minus 2x and the line y that's equal to x plus 4.
00:09
So first we want to sketch the region by finding their intersections and to do that we'll have to set them equal to each other.
00:19
That means x squared minus 2x equals x plus 4 or that x squared minus 3x minus 4 equals 0.
00:28
We then factor it out, we get x minus 4 times x plus 1 equals 0, get x equal to 4, and x equal to negative 1.
00:40
If x is equal to 4, then y value is equal to 4 plus 4 or 8.
00:48
And if x is equal to negative 1, then y is equal to negative 1 plus 4, that's equal to 3.
00:56
So they're intersecting at the points 4 -8 and negative -13.
01:05
This will be our boundary line and curve.
01:10
And this is the region we are looking at...