Differentiation, Indefinite integral, That’s – HP 48g Graphing Calculator User Manual
Page 249: Integrable, A symbolic expression either one step, A time, Go right, Result. if your expression, Only analytic, Find the
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7. Press [
EVAL
) to simplify the closed-form result.
To
find the
indefinite integral
of a function:
form.
field (without
b o l i c (press {*/-], if
1 Press SYMBOLIC) ■ ■ to open the !
2. Enter the expression to be integrated in the
the integral sign).
3.
Enter the variable of integration in the
field.
Make sure that
this variable is formal—that it doesn't exist m the current directory.
4.
Enter 0 as the lower limit and the variable of integration as the
upper limit.
5.
Make sure the RESULT field says Si
necessary.)
6 .
Press
O K
to compute the closed-form expression.
7. With the
closed-form expression on level 1
of
the
stack,
press ( P R G )
TYF’E OEiJ-i- 3
[STACK) (NXll DRF-'N to discard the lower
limits.
8.
Press fEVAL) to evaluate the result at the upper limit.
To symbolically
integrate an expression
that’s
not
integrable:
1. Derive a Taylor’s polynomial approximation to the integrand.
2 .
Find the symbolic integral of the Taylor’s polynomial.
20
Differentiation
You can differentiate
a symbolic expression either one step
at
a time,
so you can see the substitutions—or completely in one step, so you can
go right
to
the
final
result. If your expression
contains
only analytic
functions (those labeled wdth “A” in appendix G), you get an explicit
derivative.
1. Press
(r^f
symbolic
) (T~)
OK to open the
form.
2. Enter the function into the ExF'FUi field.
3. Enter the variable of differentiation into the Vi-iR: field.
4. Press [*/-], if necessary, to change the result type to N u m e r i c ;
Calculus and Symbolic Manipulation 20-9