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
tim_lou
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
Tonyt88
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? :)