00:01
Hey folks, so we're just doing arc length here, so we're integrating from zero to two, it says.
00:04
And then we do the square root of dx, dx, d, d, t squared, plus d y, dt squared.
00:08
So it's dx, dt, so x is nine plus three t squared.
00:13
So this becomes a six t, and then i have to square it.
00:20
And then we have three plus two t cubed, so that becomes a six t squared, and then i have to square that.
00:30
Dt.
00:33
Okay, let's just kind of.
00:34
Of go at it.
00:35
So this is the length.
00:37
So 0 to 2, it's going to be a square root of 36 t squared plus 36 t to the 4th d t.
00:47
I'm going to factor out the 36 and take its square root.
00:51
I get a 6.
00:52
Factor out the t squared, take the square root.
00:54
I get a t.
00:55
I can take the six outside.
00:56
The t has to stay inside...