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IntegrationTools

  

GetIntegrand

  

extract the integrand from an integral

  

GetRange

  

extract the range from a definite integral

  

GetVariable

  

extract the variable of integration from an integral

  

GetOptions

  

extract the option of integration from an integral

  

GetParts

  

extract the parts of an integral as a list

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GetIntegrand(v)

GetRange(v)

GetVariable(v)

GetOptions(v)

GetParts(v)

Parameters

v

-

definite or indefinite integral

Description

• 

The GetIntegrand command extracts the integrand from a definite or indefinite integral.

• 

The GetRange command extracts the range(s) from a definite integral.

• 

The GetVariable command extracts the variable(s) of integration from a definite or indefinite integral.

• 

The GetOptions command extracts any optional arguments from a definite integral.

• 

The GetParts command extracts all of the above parts as a list [Integrand, [Variable(s)], [Range(s)], [Option(s)]].

Examples

withIntegrationTools:

vIntfx2,x=a..b

vabfx2ⅆx

(1)

GetIntegrandv

fx2

(2)

GetRangev

a..b

(3)

GetVariablev

x

(4)

vIntfx2,x

vfx2ⅆx

(5)

GetIntegrandv

fx2

(6)

GetVariablev

x

(7)

GetRangev

GetPartsv

fx2,x,,

(8)

Here is an example of a nested integral.

wIntIntfx,y,x=a..b,y=c..d

w?

(9)

GetIntegrandw

abfx,yⅆx

(10)

GetVariablew

y

(11)

GetPartsw

abfx,yⅆx,y,c..d,

(12)

The same example given as a multiple integral.

wwIntfx,y,x=a..b,y=c..d

ww?

(13)

GetIntegrandww

fx,y

(14)

GetVariableww

x,y

(15)

GetPartsww

fx,y,x,y,a..b,c..d,

(16)

GetVariablesinx

Error, invalid input: IntegrationTools:-GetVariable expects its 1st argument, v, to be of type Integral, but received sin(x)

GetOptionsIntfx,x=0..1,continuous

continuous

(17)

See Also

IntegrationTools