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Sistema de Álgebra Computacional (CAS) 14-25
PREVAL é utilizado para calcular uma integral definida a
partir de uma primitiva: ele avalia essa primitiva entre os
dois limites da integral.
Digitar:
PREVAL(X
2
+X,2,3)
resulta:
6
RISCH Primitiva e integral definida
RISCH tem dois parâmetros: uma expressão e o nome de
uma variável.
RISCH retorna uma primitiva do primeiro parâmetro em
relação à variável especificada no segundo parâmetro.
Digitar:
RISCH((2·X
2
+1)·EXP(X
2
+1),X)
resulta:
X·EXP(X
2
+1)
OBSERVAÇÃO:
Se o parâmetro do RISCH for um AND de dois elementos,
RISCH se preocupa somente com o segundo elemento do
AND, adicionando o resultado ao primeiro argumento.
SERIES Expansão limitada à ordem
n
SERIES tem três argumentos: uma expressão dependente
de uma variável, uma igualdade (a variável x = o valor
a para o qual você deseja calcular a expansão) e um
número natural (a ordem n da expansão limitada).
Você pode omitir o nome da variável e o operador =
quando esse nome estiver em VX).
SERIES retorna a expansão limitada à nésima ordem da
expressão na vizinhança de x = a.
Exemplo — Expansão na vizinhança de x=a
Calcular uma expansão limitada à quarta ordem de
cos(2 · x)
2
na vizinhança de .
Para isso, você utiliza o comando SERIES.
x
π
6
---
=
221


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