- #1
Kuma
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Homework Statement
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
Homework Equations
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?