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Doubleint

  

inert form of double integration

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Doubleint(g, x, y)

Doubleint(g, x, y, Domain)

Doubleint(g, x = a..b, y = c..d)

Parameters

g

-

expression to be integrated

x, y

-

variables of integration

a, b, c, d

-

(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 ``double integral'' of g with respect to x and y. It uses an ``unevaluated'' form of Maple's int function, so only minor simplifications are performed.

• 

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

• 

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

• 

Use value to force Doubleint to evaluate like int.

• 

The command with(student,Doubleint) allows the use of the abbreviated form of this command.

Examples

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

withstudent:

Doubleintgx,x,y

∫∫gxⅆxⅆy

(1)

Doubleinthg,x=1..n,y=2..4

∫24∫1nhgⅆxⅆy

(2)

Doubleinthg,x,y,C

∫∫Chgⅆxⅆy

(3)

See Also

Student

student(deprecated)[Int]

student(deprecated)[Tripleint]

Student[MultivariateCalculus][MultiInt]

Student[VectorCalculus][int]

value

 


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