00:02
Okay, so we want to calculate integral of c f dot t t ds ds, but this is the same thing as the integral over c of f dot r prime of t, uh, okay, actually let me write this a little bit more clearly.
00:33
So we have f, oops, f of r of t dot r prime of t dt.
00:50
Okay, so first thing we need to do, we know r of t is equal to t for t, so we need to calculate r prime of t.
01:04
This, well, i take derivative with respect to t, so since they're both linear functions, it's just one and four.
01:10
Okay, now let's, uh, let's look at what is f of r of t.
01:18
Well, if i plug in, so this means that i plug this in for x and this in for y, so if i plug it in, so i get t for t over, uh, now i have to do this, which is t squared plus 16 t squared.
01:42
Okay, so what do i get? i get the vector, uh, so this is 17 t squared, which we can divide, so i get 1 over 17 t, or okay, actually let me do it this way...