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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:

vIntafx+bgx+chx,x=1..2

v12afx+bgx+chxⅆx

(1)

wExpandv

wa12fxⅆx+b12gxⅆx+c12hxⅆx

(2)

Combinew

12afx+bgx+chxⅆx

(3)

Definite integrals will be given a common variable of integration

CombineIntfx,x=a..b+Intfy,y=b..cIntfz,z=a..d

dcfxⅆx

(4)

CombineIntfx,x+Intgx,x

fx+gxⅆx

(5)

See Also

IntegrationTools