There are new samples from Chapter 13 in the Maple:Math 213 folder. The routine plot3d_region for getting quick rough views of elementary regions corresponding to triple integrals. The worksheet "Using plot3d_region" illustrates the technique.

There are some problems requiring numerical integration. The basic way to do numerical integration is

evalf(int(f(x),x=a..b);Without the evalf, only a symbolic integral is being sought. For many functions, symbolic integrals do not exist so it is expecially vital in those cases to include the evalf !

Some people are using the *Doubleint* function. Note that this
requires loading the student package *with(student);* as well as
using the command *value* to get a result.

** Nothing happens if the student package is not already loaded.**

** A successful use of Doubleint:**

One can also do numerical double integrals by evalf(value(Doubleint(f(x,y),x=...,y=...))) but it is unclear how often this form of numerical integration produces a result in reasonable time and memory. However one dimensional numerical integrals are readily done by

evalf(int(f(x),x=a..b);

[Home Page | Support Page ]

Last Update: * March 12, 1996*