ABSTRACT

An antiderivative associated with a complex function f is defined as in the real function case. That is, for open D ⊂ C, consider f : D → C and suppose there exists a differentiable function F : D → C such that F ′(z) = f (z) for all z ∈ D. Then F is called an antiderivative of f on D. As you might expect, antiderivatives play a useful role in evaluating line integrals of complex functions.