21. DOUBLE INTEGRALS OVER RECTANGULAR REGIONS

https://www.youtube.com/channel/UCImPMlV68VGfv0XH4uEe4bQ This is a video lecture on HOW TO DETERMINE THE VOLUME OF A SOLID BOUNDED BY THE SURFACE f(x, y) OVER A RECTANGULAR REGION USING DOUBLE INTEGRATION. The lecture starts in a DERIVATION FOR THE DOUBLE INTEGRALS OVER A A RECTANGULAR REGIONS. The concept is substantiated by discussing an example of how to solve a volume of a solid that is bounded by a surface above and rectangular region below. In the example, there are two solutions presented which shows the reversing of the order of integration. This example illustrates the application of the Fist Form of FUBINI'S THEOREM which will be presented in the next video together with the PROPERTIES OF THE DOUBLE INTEGRALS. Background Music from: ► Jarico - Landscape : https://soundcloud.com/jaricomusic/la... ► Jarico - Landscape [NCS BEST OF]: https://youtu.be/Srqs4CitU2U