Session 5: Examples on Change of order of integration and splitting of domains into disjoint unions.

In this video we will talk about change of order of integration and how integrals behave if we split the regions into finite union of disjoint subregions. Both the concepts are very much important in double integration. Many times its difficult to solve a double integral in a given order, say dx dy so what we do is change of order i.e. dy dx and then many times things become muchh more simpler. secondly, sometimes region is very complicated for a double integration to solve so we divide a region into disjoint union of finite subregions and then we do double integration over each subregions and finally we add all the integrals. I took plenty of examples so that Theorem becomes clear. If you have any other doubt then you can ask me in the comment section. ========================================================= Link to previous lectures on Multiple integrals: 1. Lecture where I talked about concept of double integration using Single integration, GeoGebra and Rainfall example.    • Session 1:Notion of double integration wit...   2. Lecture where I took example using Riemann sums.    • Session 2 : Examples on double integration...   3. Lecture on Iterated integrals & importance of Fubini's Theorem over RECTANGULAR region.    • Session 3: Examples on Iterated integrals ...   4. Lecture on Iterated integrals & importance of Fubini's Theorem over Arbitrary region.    • Session 4: Examples on Iterated integrals ...