[Solved] Let C be the closed elliptic curve fracx^29+fracy^24=1, oriented counterclockwise. Evaluate the line integral \oint_c-y(4 x^2+9 y^2)^3/2 d x+x(4
Question: Let \(C\) be the closed elliptic curve \(\frac{x^{2}}{9}+\frac{y^{2}}{4}=1\), oriented counterclockwise. Evaluate the line integral
\[\oint_{c}-y\left(4 x^{2}+9 y^{2}\right)^{\frac{3}{2}} d x+x\left(4 x^{2}+9 y^{2}\right)^{\frac{3}{2}} d y .\]
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