HP 38g Graphing Calculator User Manual
Page 47
Attention! The text in this document has been recognized automatically. To view the original document, you can use the "Original mode".

Indeflnite
Integrals
You can mix formal names and real variables. Evaluating
(A*s2) ^ will substitute a number for
A
but not for
s2.
If you want to evaluate an expression like (sl*s2) ^
numerically, you can do so using the I
(where}
command,
listed in the MATH menu under the Symbolic category. For
instance, if you wanted
si = 3
and
s2 =
4, you would enter
(sl*s2)
''2
I (sl=3, s2=4). (The = symbol is in the CHARS
menu: press ■ [CHARS] {{OK}}).
To find the indefinite integral (with a symbolic rather than
numeric result), use formal variables (that is, sO through s5)
for a limit of integration. For instance, to compute
I
(6x - 5)dx
,
ehter the integration as / (0, si, 6*x'-5, X).
0 and si are the lower and upper limits, and X is the variable
of integration.
Definite
Integrals
Derivatives
1. Enter the the integration expression in the Home edit line.
(The
f
symbol in the the CHARS menu.)
2. Press [ENTER], which produces an intermediate result.
3. Press 0 ([COPY]} [ENTER] to complete the evaluation.
The result of /(0,sl,6*X2-5,X) should be
-(5*sl)+6*(s 1^3/3), that is, 2x3-5x.Translators: in Comma
mode; change syntax to use periods.
To find the definite integral (with a numeric result), use
numeric values (numbers or real variables containing
numbers) for both the upper and lower limits. For instance, if
you enter J(-2,3,6*X2-5,X)and press [ENTER] , the result is
45.
To find the symbolic derivative of an expression, use a formal
variable (s 1, etc.) to define the derivative. For example, to
find D/6x*-5x), enter 3sl (6*sl^- 5*sl) .The result is
6*(2*sl) -5, which is equal to 12x—5.
If you use real variables or numbers in the derivative, the
calculator will find a numeric result.
Mathematical Calculations 2-11