2Contour integration and Cauchy's theorem

IB Complex Methods

2 Contour integration and Cauchy’s theorem
In the remaining of the course, we will spend all our time studying integration
of complex functions, and see what we can do with it. At first, you might think
this is just an obvious generalization of integration of real functions. This is not
true. Complex integrals have many many nice properties, and it turns out there
are some really convenient tricks for evaluating complex integrals. In fact, we
will learn how to evaluate certain real integrals by pretending they are complex.