Curvilinear integral

Calculus Level pending

Calculate the line(curvilinear) integral \[\oint_{\gamma} xy \space dx + (x^2 - y^2) \space dy\] along the path \(\gamma\) (AOB) of the parabola \(y^2 = x\), where \(A = (1, -1), O = (0,0), B = (1, 1)\).

The above integral has a closed form. Enter your answer to 3 decimal places

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