(Solution Library) Evaluate \oint_C(x+y) d x-d y, where C is the closed curve formed by moving along the parabola y=x^2-1 from (-1,0) to (1,0), and then
Question: Evaluate \(\oint_{C}(x+y) d x-d y\), where \(C\) is the closed curve formed by moving along the parabola \(y=x^{2}-1\) from \((-1,0)\) to \((1,0)\), and then back along the line segment from \((1,0)\) to \((-1,0)\), using: (a) Line Integrals,
(b) Green's Theorem.
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