Double Integrals, Rectangular Regions, Fubini's Theorem - Calculus 3

This video explains double integrals, including how they are evaluated over rectangular regions, their derivation from the Riemann sum for functions of two variables, interpretation as volume integrals, Fubini's theorem for evaluating double integrals using iterated integrals in any order for a continuous function, how techniques such as integration by parts and u-substitution are applied to double integrals, and worked example practice problems.

0:00 Double integrals over rectangular regions
5:10 Volume integrals
7:20 Iterated integrals and Fubini's theorem
16:13 Worked examples