00:02
Okay, in this problem, we're looking for the arc length of the function y equals 3x plus 1 on the interval from 0 to 3.
00:09
Again, we've got the formula here to the right in red for the arc length.
00:14
That comes from page 468.
00:16
So what we need to do is find 1 plus the derivative of this function squared.
00:21
So we're going to go ahead and find the derivative of the function here in green.
00:25
That's a pretty easy case.
00:26
This is a nice, easy function for the derivative.
00:28
3x plus 1, the derivative there is just 3.
00:32
And then, of course, we want to find what the derivative squared is right here.
00:38
So we're going to take that part...