00:01
We want to find the area of the region enclosed by these two curves here.
00:07
Y is equal to x squared and y is equal to negative x squared plus 4x.
00:11
So i went ahead and sketched them already.
00:14
And so the area we're looking for is the area between it right here that i shaded in green.
00:23
We're going to need to figure out first what are the points of intersection for this.
00:28
So let's go ahead and do that to start.
00:29
So we just set the two functions equal, so it'd be x squared is equal to negative x squared plus 4x.
00:37
So let's move everything over to the left, so our x squared is going to be positive.
00:40
And that will give us 2x squared plus or minus 4x is equal to 0.
00:50
Now let's divide or factor out a 2x.
00:54
So we have 2x, x minus 2 is equal to 0.
00:57
So that tells us x is equal to 0 and x is equal to 2...