WWRFD

Comments


Let gamma be a path given parametrically by sigma(t). Let s denote arc length from the initial point. Then

int_gammaf(s)ds = int_a^bf(sigma(t))|sigma^'(t)|dt (1)
= int_a^bf(x(t),y(t),z(t))|sigma^'(t)|dt, (2)

where gamma:{sigma(t):a<=t<=b}.
FYI – http://www.wolframalpha.com/input/?i=path+integral 


XOR https://en.wikipedia.org/wiki/Path_integral_formulation