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student[intparts] - perform integration by parts

Calling Sequence

intparts(f, u)

Parameters

f

-

expression of the form Int(u*dv, x)

u

-

factor of the integrand to be differentiated

Description

• 

Important: The student package has been deprecated. Use the superseding commands, Student[Calculus1][IntRules] and Student[Calculus1][Rule], instead.

• 

Carry out integration by parts on an unevaluated integral (expressed in terms of Int).

• 

The function returns uvduvⅆx as its value.

• 

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

Examples

Important: The student package has been deprecated. Use the superseding commands, Student[Calculus1][IntRules] and Student[Calculus1][Rule], instead.

withstudent:

intparts∫xklnxⅆx,lnx

lnxxk+1k+1∫xk+1xk+1ⅆx

(1)

intparts∫sinxx+sinxⅆx,sinx

sinx12x2+x∫cosx12x2+xⅆx

(2)

See Also

IntegrationTools/Parts, Student, student(deprecated)[changevar], student(deprecated)[powsubs], Student[Calculus1][IntRules], Student[Calculus1][Rule]


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