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);
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Last Update: March 12, 1996