Consider the downward-oriented (in the negative y-direction) quintic curve, C=((x, y) E Rx (-1,1)|x=y³+y+2). and consider the vector field F on R² given by F(x,y)=(x-y,x+ylgl Give an injective parametrisation y of C such that the image of y differs from C by only a finite number of points. Which orientation of C does y generate? Compute the (curve) integral of F over the curve C.

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A: Answer :

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