Fubini's Theorem and Change of Variables

This lecture covers Fubini's theorem for double and triple integrals, as well as the change of variables in multiple integrals with examples. It explains the types of domains in R^2, regular domains, and the method to divide complex domains into type 1 and type 2 domains. The lecture also discusses the integrability of complex domains and the process of changing the order of integration. Additionally, it explores the application of polar coordinate transformation and calculates the area of circular sectors and discs. The lecture concludes with exercises on calculating the area of circular regions in Cartesian coordinates.