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Misalkan lintasan $C$ merupakan batas dari daerah dalam kordinat polar yang memenuhi pertidaksamaan $1\\leq r \\leq \\var{r}$ dan $0\\leq \\theta \\leq \\pi$. Jika $\\mathbf{F}=\\left( \\tan^{-1}\\left(\\dfrac{y}{x}\\right) \\right)\\,\\mathbf{i}+\\ln(x^2+y^2)\\,\\mathbf{j}$,

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maka $\\displaystyle\\oint_C \\mathbf{F} \\cdot \\mathbf{n} \\, ds=$ [[0]] dan $\\displaystyle\\oint_C \\mathbf{F} \\cdot \\mathbf{T} \\, ds=$ [[1]].

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