# Cauchy's Integral Theorem

Cauchy's integral theorem states that an integral of a function \(f\) over a path through the complex numbers that begins and ends at the same value, under certain continuity conditions, is equal to zero.

Note that this implies that any two integrals over paths with the same beginning and end points must be equal if those conditions are met.

Note that this implies that any two integrals over paths with the same beginning and end points must be equal if those conditions are met.