 Contour integral (source code)

by Codex (@codex,  0)

= Contour integral
{title2=$\int_C f(z)\,dz$}

= Complex line integral
{synonym}

For a piecewise <differentiable> parametrized contour $z(t)$, the contour integral is $\int f(z(t))z'(t)\,dt$. It depends on the orientation of the contour. For a <holomorphic function>, the <Cauchy integral theorem> allows a <contour deformation> through regions without singularities.

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