Green Theorem: Solving ∫(y+x^2*cosx)dx+(2x-y^2*sin(y))dy on x^2+y^2=1

[Brunno]

Hello fellows,

I am not sure if the answer i got this question is the correct one. Could it not be it?

∫(y+x^2*cosx)dx+(2x-y^2*sin(y))dy within the llimit of the circle x^2+y^2=1

 

[Brunno]

Ah and the answer i got was 2pi

 

[HallsofIvy]

Yes, that is correct. Why would you be not sure? It's about as easy a Greens theorem problem as you can have!

 

[Brunno]

Thank you man. That was the answer I was expecting to read too.