Green's Theorem

  • Thread starter Tonyt88
  • Start date
  • #1
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Homework Statement



Using the integral of (-y/2)dx + (x/2)dy
Calculate the area inside the limacon with polar equation:

r = 5 - 3sin(theta)


Homework Equations





The Attempt at a Solution



No idea where to begin.
 

Answers and Replies

  • #2
682
1
notice that the divergence of the vector field that you are integrating over is 1. So, if you integrate 1 over the region of the limaçon, what can that integral be transformed into?
 
  • #3
62
0
I think I've got it:

x = r cos(theta)
y = r sin(theta)

Solve for dx/d(theta) and dy(theta)

Integrate from 0 to 2(pi) and that should go well? :)
 

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