Ufyukyu

0 $begingroup$ Calculate $$int_C frac{2xy^2dx-2yx^2dy}{x^2+y^2},$$ where $C$ is the ellipse $3x^2 +5y^2 = 1$ taken in the positive direction. I tried to calculate the integral using green theorm. now i need to build enclosier that doesn't enclose $(0,0)$ i am having hard time guessing what to build. a circle and ellipse might be perfect but then the domain is not easy to write. can i have hint please ? multivariable-calculus greens-theorem share | cite | improve this question edited Jan 7 at 22:27 Mather ask