Table 8.1.1(c) provides a solution via the command the MultiInt command in the Student MultivariateCalculus package. This command recognizes the tetrahedron as a predefined region that is specified by the four vertices of the tetrahedron.
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Install the Student MultivariateCalculus package.
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Table 8.1.1(c) Integration over a tetrahedron
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Table 8.1.1(d) obtains a more primitive solution via the MultiInt command in the Student MultivariateCalculus package. See Table 8.1.1(a) for an implementation of this command via a task template.
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Table 8.1.1(d) MultiInt command iterating in the order
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Table 8.1.1(e) implements the iterated integration via the top-level Int and int commands.
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Table 8.1.1(e) Top-level Int and int commands
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