Question

Let k(x) and l(y) be arbitrary smooth functions of x and y respectively. Use the circulation form of Green's Theorem to determine the line integral (expressed here in differential form) .....

Where C is the positively oriented boundary x^2/9 +y^2/4 = 1

Answer 1

\[\int\limits_{C}^{}(k(x)-4y) dx + (l(y)+4x)dy\]

Answer 2

^ that is the integral