Use Green’s theorem to compute $\int_C x^2 ydx − xy^2 dy$ where $C$ is the circle $x^2 + y ^2 = 4$ oriented counter-clockwise.

Use Green?s theorem to compute
\[\int_C x^2 ydx ? xy^2 dy\] where $C$ is the circle $x^2 + y ^2 = 4$ oriented counter-clockwise.

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