00:01
In this problem, we want to evaluate the line integral along the curve c of some function of x, y, and z, the s.
00:13
We're told that f of x, comma, y, comma, z is equal to e to the power of x plus y plus z.
00:21
And c is a straight line, straight line from the origin, which is zero, zero.
00:33
From 0 to the point 1, 2 ,3.
00:38
So we come up with a parametriization for our curve c.
00:43
So c is parametized by r of t.
00:45
This game seems to start at the origin and end up at the point 1, 2, 3.
00:50
The parametrician that will use is t, comma, 2t, comma, 3t.
00:56
And t here ranges from 01.
01:00
R prime of t is going to equal to, not the magnitude, but just simply r prime of t would equal to 1 comma 2 comma 3...
