Solve line integral (xy+x-y)dy + (xy+x+y)dx where the curve is a circle x^2+y^2-ax=0

Solve line integral (xy+x-y)dy + (xy+x+y)dx where the curve is a circle x^2+y^2-ax=0

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\[\int\limits_{?}^{?} (xy+x-y)dy + (xy+x+y)dx \]
Circle formula: \[x ^{2} + y ^{2} - ax = 0\]

Are you sure? I think you need to use polar coordinates.

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