I've calculated line integral $\int_cydx+zdy+xdx,$ where $c$ is intersection of $(x^2+y^2)^2=y^2-x^2\ (y\geq 0)$ and $z=\sqrt{x^2+y^2}$ positively oriented when looking from the point $(0,1,0)$, directly and via Stokes formula. But i get two different solutions, $\frac{1}{2}-\frac{\sqrt{2}}{3}$ and $\frac{\sqrt{2}}{3}-\frac{1}{2}$. Is either one of them correct?
2026-03-26 14:29:27.1774535367
calculate line integral directly and via stokes theorem
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