Use Green's Theorem to evaluate the line integral along the given positively oriented curve. $\int _ { C } \sin y d x + x \cos y d y$ C is the ellipse $x ^ { 2 } + x y + y ^ { 2 } = 2$

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The Answer of Use Green's Theorem to evaluate the line integral along the given positively oriented curve. $\int _ { C } \sin y d x + x \cos y d y$ C is the ellipse $x ^ { 2 } + x y + y ^ { 2 } = 2$

Use Green's Theorem to Evaluate the Line Integral Along the Given