00:01
Okay, so we're looking for the area of the region bounded by the equations given over here on the right.
00:08
So what i'm first going to do is i'm going to draw x equals 2, x equals 3.
00:15
These are just vertical lines on the coordinate system.
00:22
Okay, so now that we have that done, we have to evaluate the equation at point x2 and x3 because anything outside of those bounds don't really matter to us.
00:36
So we'll start with x equals 2.
00:39
So we have y is equal to 5 minus 2 squared, and that'll equal 1.
00:46
So we go to x2 and put 1.
00:53
That'll be one point.
00:55
And then the next point we're going to do y is equal to 5 minus 3 squared, and then y will equal negative 4.
01:05
That's all the way down here.
01:09
But we don't need all the way down there because the x -axis is one of our bounds...