(i) | $f : \gamma \to \mathbb{C}$ is a D5635: Standard-continuous complex function on $\gamma$ |

**complex oriented curve integral**of $f$

*along*$\gamma$ is the D1207: Complex number \begin{equation} \int_{\gamma} f(z) \, d z : = \int^b_a f(w(t)) w'(t) \, d t \end{equation}