Consider the vector field $$\vec{F}=-\frac{y}{x^2+y^2}\hat{i}+\frac{x}{x^2+y^2}\hat{j}$$. Calculating the curl of the vector field I am getting zero. But when I am calculating the line integral along the unit circle I am getting $2\pi$. What’s wrong? Is Stokes’ theorem not valid here?
2026-03-25 18:46:30.1774464390
Verification of Stokes’ theorem
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