- #1

yolanda

- 8

- 0

## Homework Statement

First off, sorry this isn't symbolized correctly. I've wrestled with this for a half hour, so here it is in crude type:

Calculate [tex]\int[/tex]

_{c}

**F***

**n**

*ds*for

**F**(x,y)=x

**i**+y

**j**across the square curve C with vertices (1,1), (-1,1), (-1,-1), and (1,-1).

## Homework Equations

above

## The Attempt at a Solution

I've found that this can be rewritten as [tex]\int[/tex]

_{a}

^{b}

**F**(

**r**(t))*

**r**'(t)) dt

I know my limits are from -1 to 1. I am having trouble parameterizing x and y. I have come up with x=t, but I don't know what y could be... y=[tex]^{+}_{-}[/tex]t?

If someone wouldn't mind explaining this problem, and how they'd attack it, I sure would appreciate the help. Thanks in advance. A step by step solution would help most, but I'll take what I can get :)