Integrals in C: Curvilinear Integration

This lecture covers the concept of curvilinear integration in the complex plane, focusing on the bijection between C and R2, regular curves, properties of curvilinear integrals, examples, antiderivatives, existence of primitives, Cauchy theorem, and integrability criteria. The instructor explains the application of the Cauchy theorem and demonstrates the calculation of curvilinear integrals in the context of simply connected domains.