Calculus in 3D Section 4.3: double integrals скачать в хорошем качестве

Calculus in 3D Section 4.3: double integrals

00:00 -- Definition: the double integral as the volume under a surface defined by a region S in x-y plane. 06:15 -- S is a rectangle in x-y plane: writing the integral as an iterated integral. 08:43 -- Example: double integral of the function f(x,y)=x+2y (the "house with a monopitched roof") over a rectangular region. 15:07 -- Example: double integral with a triangular region: changing the order of integration and how you have to change the limits accordingly 21:55 -- Exam type example: calculate the double integral of the function f(x,y)=xy over the region bounded by the curve y=sqrt(x) and y=1. 32:11 -- A different way of thinking about double integrals: as representing the total mass or charge of a lamina