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IntegrationTools

  

Combine

  

combine integrals using linearity

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Combine(v)

Parameters

v

-

expression

Description

• 

The Combine command combines integrals using linearity.

• 

The parameter v is any expression involving definite or indefinite integrals. Definite integrals will have their variable of integration renamed to facilitate combination.

• 

For indefinite integrals, this command is equivalent to calling combine(v, int).

Examples

withIntegrationTools:

v∫12afx+bgx+chxⅆx

v:=∫12afx+bgx+chxⅆx

(1)

wExpandv

w:=a∫12fxⅆx+b∫12gxⅆx+c∫12hxⅆx

(2)

Combinew

∫12afx+bgx+chxⅆx

(3)

Definite integrals will be given a common variable of integration

Combine∫abfxⅆx+∫bcfyⅆy∫adfzⅆz

∫cdfxⅆx

(4)

Combine∫fxⅆx+∫gxⅆx

∫fx+gxⅆx

(5)

See Also

IntegrationTools

 


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