Numerical Integration of Expressions
In this example you'll find a numerical value for the integral
1
~
exp
(x
3
+
2x
2
-
X + 4)dx
Clear
the
stack.
.1
CLEAR I
Put
the
expression
on
the
stack.
l:]
IILOGsJ
D::P X
I~
3
[±]
2
o X
I~
2 G X
[±]
41ENTERJ
Key in
the
variable
and
limits
of
integration. You'll
enter
them
as ob-
jects
within
a list object. (This is a typical use
of
a
list-combining
several objects so you
can
handle
them
as a single object.)
OJ
X 1 SPACE I 0 I SPACE I 1 I ENTER I
3:
2:
'EXP(X
A
3+2*X
A
2-X+4),
1: { X
121
1 )
1lJiH1lI!lIEIIm:.l1IIIImIDDIIDI
X is
the
variable
of
integration, 0
and
1
the
limits
of
integration.
Next key
in
the
accuracy you require.
If
the
expression
included
constants derived from empirical data,
specify
the
accuracy
of
the
constants. For example, if
the
constants are
accurate to
three
decimal places, specify
an
accuracy
of
.001.
122
10:
Calculus