# Path Integral to determine Work Done

1. Apr 19, 2013

### elemis

Last edited: Apr 19, 2013
2. Apr 19, 2013

### HallsofIvy

Staff Emeritus
"ds" is what I would call "the vector differential of arc length". Specifically, if the path is given by the parametric equations, x= x(t), y= y(t), z= z(t), then $d\vec{s}= (dx/dt)\vec{i}+ (dy/dt)\vec{j}+ (dz/dt)\vec{j}$.