Texas Instruments TI-89 Manual Book page 549

Ti ti-89: user guide
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&
¥ p
(append)
TI-89:
string1 & string2
Returns a text string that is
to
string1
‰()
2 <
key
(integrate)
‰(expression1, var[, lower] [,upper])
‰(list1,var [,order])
‰(matrix1,var [,order])
Returns the integral of
respect to the variable
Returns an anti-derivative if
are omitted. A symbolic constant of
integration such as
However,
integration if only
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.
returns itself for pieces of
()
it cannot determine as an explicit finite
combination of its built-in functions and
operators.
When
lower
attempt is made to locate any discontinuities
or discontinuous derivatives in the interval
lower < var < upper
interval at those places.
For the
AUTO
mode, numerical integration is used where
applicable when an anti-derivative or a limit
cannot be determined.
For the
APPROX
integration is tried first, if applicable. Anti-
derivatives are sought only where such
numerical integration is inapplicable or fails.
532
Appendix A: Functions and Instructions
TI-92 Plus: 2 H key
key
string
string2
.
expression
list
matrix
expression1
from
var
lower
lower
is omitted.
C
is added as a constant of
lower
is omitted.
upper
expression1
and
are both present, an
upper
and to subdivide the
setting of the
Exact/Approx
setting, numerical
"Hello " & "Nick" ¸
appended
with
‰(x^2,x,a,b) ¸
to
.
upper
and
upper
‰(x^2,x) ¸
‰(aù x^2,x,c) ¸
‰(1/(2ì cos(x)),x)! tmp(x) ¸
ClrGraph:Graph tmp(x):Graph
1/(2ì cos(x)):Graph ‡(3)
(2tanê (‡(3)(tan(x/2)))/3)
¸
‰(bù e^(ë x^2)+a/(x^2+a^2),x)
that
¸
‰(e^(ë x^2),x,ë 1,1)¥ ¸ 1.493...
"Hello Nick"
3 -
3
3
aø xò
+ c
3

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