Appendix A: Functions and Instructions
907
!
(factorial)
2
W
key
expression1
!
⇒
⇒
⇒
⇒
expression
list1
!
⇒
⇒
⇒
⇒
list
matrix1
!
⇒
⇒
⇒
⇒
matrix
Returns the factorial of the argument.
For a list or matrix, returns a list or matrix of
factorials of the elements.
The TI
-
89 computes a numeric value for only non-
negative whole-number values.
5
!
¸
120
{5,4,3}
!
¸
{120 24 6}
[1,2;3,4]
!
¸
[
1 2
6 24
]
&
(append)
2
H
key
string1
&
string2
⇒
⇒
⇒
⇒
string
Returns a text string that is
string2
appended to
string1
.
"Hello " & "Nick"
¸
"Hello
Nick"
‰‰‰‰
()
(integrate)
2 <
key
‰‰‰‰
(
expression1
,
var
[
,
lower
]
[,
upper
]
)
⇒
⇒
⇒
⇒
expression
‰‰‰‰
(
list1,var
[,
order
]
)
⇒
⇒
⇒
⇒
list
‰‰‰‰
(
matrix1,var
[,
order
]
)
⇒
⇒
⇒
⇒
matrix
Returns the integral of
expression1
with respect to
the variable
var
from
lower
to
upper
.
‰
(x^2,x,a,b)
¸
b
ò
3
-
a
ò
3
Returns an anti-derivative if
lower
and
upper
are
omitted. A symbolic constant of integration such
as
C
is omitted.
However,
lower
is added as a constant of
integration if only
upper
is omitted.
‰
(x^2,x)
¸
x
ò
3
‰
(a
ù
x^2,x,c)
¸
a
ø
x
ò
3
+
c
Equally valid anti-derivatives might differ by a
numeric constant. Such a constant might be
disguised—particularly when an anti-derivative
contains logarithms or inverse trigonometric
functions. Moreover, piecewise constant
expressions are sometimes added to make an
anti-derivative valid over a larger interval than
the usual formula.
‰
(1/(2
ì
cos(x)),x)
!
tmp(x)
¸
ClrGraph:Graph tmp(x):Graph
1/(2
ì
cos(x)):Graph
‡
(3)
(2tan
ê
(
‡
(3)(tan(x/2)))/3)
¸
‰
()
returns itself for pieces of
expression1
that it
cannot determine as an explicit finite
combination of its built-in functions and
operators.
When
lower
and
upper
are both present, an
attempt is made to locate any discontinuities or
discontinuous derivatives in the interval
lower <
var < upper
and to subdivide the interval at those
places.
‰
(b
ù
e
^(
ë
x^2)+a/(x^2+a^2),x)
¸
For the
AUTO
setting of the
Exact/Approx
mode,
numerical integration is used where applicable
when an anti-derivative or a limit cannot be
determined.
Summary of Contents for Voyage 200
Page 36: ...Getting Started 36 D B D B Press Result ...
Page 45: ...Getting Started 45 3 0 D B D D B D Press Result ...
Page 46: ...Getting Started 46 D 2 0 0 2 D B Scroll down to October and press Press Result ...
Page 60: ...Getting Started 60 B D Press Result ...
Page 139: ...Previews 139 8 Complete the operation Press 2 d Steps and keystrokes Display 5 f 2 ...
Page 453: ...Differential Equation Graphing 453 ...
Page 468: ...Tables 468 ...
Page 777: ...Activities 777 ...
