1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Line integral

  1. Aug 14, 2008 #1
    1. The problem statement, all variables and given/known data

    I need to use Green's theorem in order to solve this integral.
    My question is, how can I find the area for the Green's theorem integral?

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. Aug 14, 2008 #2


    User Avatar
    Science Advisor

    If x= sin t cos t and y= sin2 t, then x2+ y2= sin2tcos2t+ sin4t= sin2 t(cos2 t+ sin2t)= sin2(t)= y so the equation, in Cartesian coordinates, is x2+ y2- y= 0. Complete the square and you can see that is a circle.
    Last edited by a moderator: Aug 15, 2008
  4. Aug 15, 2008 #3
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook