00:01
Expect to get the final answer.
00:03
This problem isn't too bad though because if you look at the shaded region that they provide for you, they even give you that graph y equals e to the x plus one, that it appears to me like the shaded regions between zero and one.
00:19
And they give you a nice little picture in here of a circle.
00:24
And i hope you would agree that that radius of that circle is the height of the function.
00:29
Because it it'll change, like down here, it's a lower radius, if i drew that in there, then over here has a higher radius.
00:37
So because the area of a circle is equal to pi r squared, all you need for this integral, we're going from zero to one.
00:49
So those are a few pieces that you need.
00:51
You need pi in there, and then the function that we're talking about is e to the x plus one needs to be squared in terms of x.
01:00
So there's that answer.
01:02
And if you need to evaluate this, i don't think it's too bad.
01:06
I also like to make that pie in front, but that's just me...