Integration of Complex Functions

Definition (Complex Integration)

We want to intuit on how we integrate complex functions.

Related: Complex Functions

Let $f:[a,b]\to \mathbb{C}$ be a bounded complex function. Since $f$ is complex, then $f(x)=u(x)+i\cdot v(x)$ where $u,v$ are real functions. Then we say that $f$ is Riemann Integrable