Find the lenght of the arc from t : 2 to t : 6 for x : 5t-3.y : 1 -3t, z : 4t 5.

Answer 1

dx = 5 dt
dy = -3 dt
dz = 4 dt

ds = √((dx)^2 + (dy)^2 + (dz)^2)

plug in the values and integrate. (fix the typos first, though)