Arc Length (Distance Traveled Along a Curve) in Parametric Form

Arc Length (Distance Traveled Along a Curve) in Parametric Form If a curve C is given by the parametric equations x = f (t) and y = g (t) such that C does not intersect itself on the interval a ≤ t ≤ b then the arc length C, or the distance traveled by a particle along the curve is given by L = ∫ a b (d x d t) 2 + (d y d t) 2 d t......