00:01
In this problem we are given this function y equal to 1 over 27 times 9 x squared plus 6 to the power 3 halves.
00:15
And we are going to compute the length of the curve of this function on the xy plane for x between 0 and 6.
00:27
First let us plot this function to see what we are dealing with.
00:35
Using some online tools, i have discovered that this function looks like this.
00:42
So it's a monotically increasing function.
00:46
It has no double lines or double values for any x values, which is nice.
00:54
So we have this nice now function and let us write down the integral for the length of this.
01:02
Line between this point and this point.
01:07
I'm going to call the entire length s.
01:09
So it is given by the integral of ds.
01:14
And here ds is an infernal line element on this curve or line.
01:22
And we are integrating it from x equal to 0 to 6...
