Line integral

1. Aug 14, 2008

asi123

1. The problem statement, all variables and given/known data

Hey.
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

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2. Aug 14, 2008

HallsofIvy

Staff Emeritus
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: Aug 15, 2008
3. Aug 15, 2008

thanks.