Results 1 to 3 of 3

Math Help - Simple Greene's Theorem Problem

  1. #1
    Newbie
    Joined
    Dec 2011
    Posts
    2

    Smile Simple Greene's Theorem Problem

    Hi, I have what I think is a pretty simple Greene's theorem problem, but I can't seem to figure it out. Here's the problem:

    D is a line segment joining (v1,u1) and (v2,u2). Show that Integral(-u dv + v du) = v1u2-v2u1

    To do this, I tried employing Greene's theorem, and took the partials.
    I then had the double integral of (1-(-1))dvdu, with bounds v1->v2 and u1->. However, that integrate does not come out to equal the proposed solution.

    If someone could just tell me if I maybe I'm not supposed to be using Greene theorem or something like that, that would be a big help. Thanks!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093

    Re: Simple Greene's Theorem Problem

    is the line segment a simple closed curve in R2 ??
    the curve should be closed see this
    Green's theorem - Wikipedia, the free encyclopedia
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2011
    Posts
    2

    Re: Simple Greene's Theorem Problem

    Yes, it is closed and simple.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. (probably simple) Comparison Theorem Q
    Posted in the Calculus Forum
    Replies: 3
    Last Post: February 23rd 2011, 02:31 AM
  2. [SOLVED] Simple Stokes' Theorem/surface integral problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: January 20th 2011, 08:06 PM
  3. Simple Set Theory Theorem
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 3rd 2010, 12:11 PM
  4. Simple Mean Value Theorem problem...
    Posted in the Calculus Forum
    Replies: 3
    Last Post: December 4th 2009, 12:51 AM
  5. simple Green's Theorem problem. please help!
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 6th 2008, 06:31 PM

Search Tags


/mathhelpforum @mathhelpforum