Calculating Line Integral of I Using Green's Theorem

[mikeyrichster]

The Integral I is defined by

I = Integral F . dr Where F = (x-y, xy) << This is a vertical vector, i just didn'nt know how to write it with latex.

And C is a triangle with the vertices (0,0), (1,0) and (1,3) tracked anticlockwise.


Calculate the line integral using greens theorem




Any help would be much appreciated!


Thanks


PS sorry about my lack of LaTeX typesetting

 

[vela]

You need to make an attempt and show your work before you're going to get any help. A good place to start would be to see what Green's theorem says.

 

[Mark44]

Also, this is hardly a Precalculus question. That's what the Calculus & Beyond section is for.

 

[vela]

You should make an effort to learn how to use LaTeX, particularly for this problem as the typesetting will make the equations much easier to read. Click on the following link for an intro to LaTeX.

https://www.physicsforums.com/showthread.php?t=8997

I saw in your duplicate thread before it got deleted a vague description of Green's theorem, lacking a lot of important details. Try giving us the theorem in the form of an equation (you'll get to try out LaTeX!) and relate the quantities involved to those in this problem.