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**Need help in finding Limits of Integration!!! :) (Calc 3)**

## Homework Statement

Evaluate

Integral: f * n dS, where "f" and "n" are vectors and "*" is DOT PRODUCT.

Where,

where

(a) f = (x

^{2}, e

^{y}, 1),

S: x + y + z = 1, x ≥ 0, y ≥ 0, z ≥

## Homework Equations

ummm none

## The Attempt at a Solution

So, I figured that:

r(u,v) = (u,v,1-u-v)

f (x(u),y(v)) = u

^{2}, e

^{v}, 1)

I also got N vector, which is 1.

BUT HOW DO I FIND THE INTEGRATION LIMITS?????????!!!!

I know that "x ≥ 0, y ≥ 0, z ≥ ", but how does this help me? Are the integration limits from

0 to INFINITY?

PLease Help!!! I have been trying to think for 48 hours on this!!

THanks!!