Question

Green's theorem circulation form. F=<0,x^2+y^2> on bounded circle x^2+y^2<1

Answer 1

do it in both integrals

Answer 2

I typed that wrong:
\[L=0,M=x^2+y^2 \implies \frac{\partial M}{\partial x}=2x; \frac{\partial L}{\partial y}=0; \implies 2 \int\limits_0^{2 \pi}\int\limits_0^1 r^2 \cos(\phi) dr d \phi\]
Which either way still equals zero.

Answer 3

how did you oo so you used the cylindrical coordinates and made x=rcos(x)

Answer 4

but it says to use 2 different integrals in green's theorem, im confused which is the second one. Like you know the green's theorem one formula equals alternative formula