00:01
This question asks us to find the exact area of the surface by rotating the curve about the x -axis, as is stated.
00:06
What we know we need to do is we know we need to first off figure out the bounds.
00:10
They've actually given this to us.
00:12
If x is between 0 and 3, this means 0 and 3 are about.
00:16
Now, we know we pull out a 2 pi because we know we're going to be rotating it as it's stated in the problem.
00:21
And then we know that we have y squared is x plus 1.
00:26
What we know this means is that if x is y squared minus 1, then d x over d y is equivalent to y.
00:40
This is critical here because now what we know we have is, remember, when we're writing this, we're essentially plugging in using x...