Texas Instruments PLUS TI-89 User Manual
Page 550
Appendix A: Functions and Instructions 533
8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 533 of 132
‰
()
can be nested to do multiple integrals.
Integration limits can depend on integration
variables outside them.
Note:
See also
nInt()
.
‰(‰(ln(x+y),y,0,x),x,0,a) ¸
‡
()
(square root)
2 ]
key
‡
(
expression1
)
⇒
expression
‡
(
list1
)
⇒
list
Returns the square root of the argument.
For a list, returns the square roots of all the
elements in
list1.
‡(4) ¸
2
‡({9,a,4}) ¸
{3
‡a 2}
Π
()
(product)
MATH/Calculus menu
Π
(
expression1
,
var
,
low
,
high
)
⇒
expression
Evaluates
expression1
for each value of
var
from
low
to
high
, and returns the product of
the results.
Π
(1/n,n,1,5) ¸
1
120
Π
(k^2,k,1,n) ¸
(n
!
)
ñ
Π
({1/n,n,2},n,1,5) ¸
{
1
120
120 32
}
Π
(
expression1
,
var
,
low
,
lowì 1
)
⇒
1
Π
(k,k,4,3) ¸
1
Π
(
expression1
,
var
,
low
,
high
)
⇒
1/
Π
(
expression1,
var, high+1, lowì 1) if high < lowì 1
Π
(1/k,k,4,1) ¸
6
Π
(1/k,k,4,1)
ù
Π
(1/k,k,2,4) ¸
1/4
G
()
(sum)
MATH/Calculus menu
G
(
expression1
,
var
,
low
,
high
)
⇒
expression
Evaluates
expression1
for each value of
var
from
low
to
high
, and returns the sum of the
results.
G(1/n,n,1,5) ¸
137
60
G(k^2,k,1,n) ¸
nø (n + 1)ш (2ш n + 1)
6
G(1/n^2,n,1,ˆ) ¸
pñ
6
G
(
expression1
,
var
,
low
,
lowì 1
)
⇒
0
G(k,k,4,3) ¸
0
G
(
expression1
,
var
,
low
,
high
)
⇒
ë G
(
expression1,
var, high+1, lowì 1) if high < lowì 1
G(k,k,4,1) ¸
ë 5
G(k,k,4,1)+G(k,k,2,4) ¸
4