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.