Question

What is the value of :

\(\large \int_{c}^{}(x^2 + y^2).dx + 3xy^2.dy\)

where \(\color{blue}c\) is the Circle \(\color{green}{x^2 + y^2 = 4}\) in the XY plane..

Answer 1

I have applied Green's Theorem..

\(\int_{s}(3y^2 - 2y).dxdy\).

What limits will I take here and why??