\begin{definition}[Definition:Primitive (Calculus)/Complex]
Let $F: D \to \C$ be a complex function which is complex-differentiable on a connected domain $D$.
Let $f: D \to \C$ be a continuous complex function.
Let:
:$\forall z \in D: \map {F'} z = \map f z$
where $F'$ denotes the derivative of $F$ {{WRT|Differentiation}} $z$.
Then $F$ is '''a primitive of $f$''', and is denoted:
:$\ds F = \int \map f z \rd z$
\end{definition}