00:01
Alright, so we have some curves here, x and y.
00:07
We're bound by y equals x to the fourth.
00:11
That's going to look something like this.
00:13
That looks more like x squared, excuse me.
00:15
It needs to be deeper and then flatter.
00:22
I can do this, i promise.
00:24
Really steep, and then it becomes really flat.
00:28
And then it's really steep again, that's great.
00:30
And y equals one.
00:31
So, something about like that.
00:37
Because y equals one, y equals one fourth.
00:40
Or, not one fourth, x to the power of four.
00:43
About the line y equals five.
00:48
Y equals five.
00:51
This is relatively easy to do with the washer method here.
00:55
I have the integral here of pi times the outer radius squared minus the inner radius squared.
01:03
The outer radius is going to be five minus x to the fourth.
01:09
That's going to be the distance all the way down there.
01:13
Inner radius is just four.
01:16
Five minus x to the fourth squared minus pi times four squared dx.
01:26
We're doing the width of each washer infinitesimally...