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Important: The student package has been deprecated . Use the superseding command Student[MultivariateCalculus][MultiInt] instead.

This function corresponds to a triple integral of g with respect to x, y, and z. It uses an unevaluated form of the Maple int function, so only minor simplifications are performed.

For definite integration, a range of integration (x = a..b) must be indicated for each integration variable.

Alternatively you may use a name to indicate the entire region of integration. This latter form is strictly notational and cannot be evaluated.

Use value to force Tripleint to evaluate like int. The inner Doubleint can be evaluated by using map(value,...)

$\mathrm{with}\left(\mathrm{student}\right)\:$

$\mathrm{Tripleint}\left(g\left(x\,y\,z\right)\,x\,y\,z\right)$

$\int \int \int g\left(x\,y\,z\right)\ⅆx\ⅆy\ⅆz$

$\mathrm{Tripleint}\left(hg\,x=1..n\,y=2..4\,z=a..b\right)$

${\int }_a^b{\int }_2^4{\int }_1^{n}hg\ⅆx\ⅆy\ⅆz$

$\mathrm{Tripleint}\left(hg\,x\,y\,z\,C\right)$

${\int }_{}^{}{\int }_{}^{}{\int }_C^{}hg\ⅆx\ⅆy\ⅆz$