Overview
Definition
For a given complex function {% w(t) %} of a real parameter, {% t \in \mathbb{R} %},
{% w(t) = u(t) + i v(t) %}
the definite integral is defined to be
{% \int_a^b w(t)dt = \int_a^b u(t) dt + i \int_a^b v(t) dt %}