(adsbygoogle = window.adsbygoogle || []).push({}); 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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Help with path integral

**Physics Forums | Science Articles, Homework Help, Discussion**