How do I verify green's theorem for f(x,y)=x^2 - 2xy, g(x,y)=(x^2)(y) + 3?

Question

where C is the boundary of the region R defined by y^2=8x and x=2. Have an exam tomorrow and its all similar questions!

Answer 1

If you just want a reference to know what is the criterion to prove the Green Theorem given you functions, visit:

www.wikipedia.org

(I think is pretty clear how to prove according to the site. Just search for Green's Theorem).

If you want the full demostration would be very complicated in this space because there is no math symbols to ease the writing of all closed integrals, double integrals and partial derivatives needed to do the calculations.

Good luck!