HP 40gs Manual do Utilizador descarregar pdf (Página 201)

100

101

Computer Algebra System (CAS) 14-19

IBP returns the AND of and of

that is, the terms that are calculated when performing a

partial integration.

It remains then to calculate the integral of the second term

of the AND, then add it to the first term of the AND to

obtain a primitive of .

Typing:

IBP(LN(X),X)

gives:

X·LN(X) AND - 1

The integration is completed by calling INTVX:

INTVX(X·LN(X)AND - 1)

which produces the result:

X·LN(X) - X

NOTE:

If the first IBP (or INTVX) parameter is an AND of two

elements, IBP concerns itself only with the second element

of the AND, adding the integrated term to the first element

of the AND (so that you can perform multiple IBP in

succession).

INTVX Primitive and defined integral

INTVX has one argument: an expression.

INTVX calculates a primitive of its argument with respect

to the variable stored in VX.

Example

Calculate a primitive of sin(x) × cos(x).

Typing:

INTVX(SIN(X)·COS(X))

gives in step-by-step mode:

COS(X)·SIN(X)

Int[u’∗F(u)] with u=SIN(X)

Pressing OK then sends the result to the Equation Writer:

ux() vx()⋅ v– x() u' x()⋅

ux() v' x()⋅

x()

sin

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