1. The problem statement, all variables and given/known data The problem asks: find the integral of gamma F.ds where F(x,y,z) = (e^z, e^y, x+y). gamma being a triangle with vertices: (1,0,0) (0,1,0) (0,0,1) going in a counterclockwise direction 2. Relevant equations 3. The attempt at a solution So I'm not even sure if what I'm doing is right. This is my attempt to parameterize C1: x = t, y = 1-t, z = 0 for 0<t<1 C2: x = 2-t, y = 0, z = 1-t for 1<t<2 C3: x = 0, y = t-2, z = 3-t for 2<t<3 And to find the integral it's F(c(t))*c'(t) dt is that right?