(See Solution) Find the positively oriented simple closed curve C that maximizes the line integral ∫_C(y^3 d x+(3 x-x^3) d


Question: Find the positively oriented simple closed curve \(C\) that maximizes the line integral \(\int_{C}\left(y^{3} d x+\left(3 x-x^{3}\right) d y\right)\).

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