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student[Tripleint] - inert form of triple integration

Calling Sequence

Tripleint(g, x, y, z)

Tripleint(g, x, y, z, Domain)

Tripleint(g, x = a..b, z = e..f, y = c..d)

Parameters

g

-

expression to be integrated

x, y, z

-

variables of integration

a, b, c, d, e, f

-

(optional) lower and upper bounds defining the range of integration

Domain

-

(optional) name identifying the region of integration

Description

• 

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,...)

Examples

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

withstudent:

Tripleintgx,y,z,x,y,z

∫∫∫gx,y,zⅆxⅆyⅆz

(1)

Tripleinthg,x=1..n,y=2..4,z=a..b

∫ab∫24∫1nhgⅆxⅆyⅆz

(2)

Tripleinthg,x,y,z,C

∫∫∫Chgⅆxⅆyⅆz

(3)

See Also

Student, student(deprecated)[Doubleint], student(deprecated)[Int], Student[MultivariateCalculus][MultiInt], Student[VectorCalculus][int], value


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