HP 39g Graphing Calculator - Manual (Page 163)

To find the
indefinite integral
using formal
variables
For example, to find the indefinite integral of
j3A'^-5t/x use:
|(
0
,S
1
, 3X^^5,X)
Enter the function.
|1ДТ| fdTdTI 0 in
[ al EB a ]S1 □ 3 0
( a EB^XQ 05П
(TT lpha IX in П ёыте П
H I N T If the Decimal Mark setting in the Modes input form
(0jjF[]MOD£i’)is set to Cornma, use
(T)
instead of
(7].
2. Show the result format.
B
3. Press D3 to close the
show window.
£
-5'X+3-T^—
X=S1
5.X-F3F
4. Copy the result and evaluate.
ENTER
FUNCTIDN
f<0,31,3*K=-5,K)
-5*Х+3*СК"'3.-'3/ЙХ<Х)) I
-5*X+3*(X''3-'-3/i.X I
-<:5*si)+3*tsi''3/3)
FUNCTinN
t'CejSljSiXa-SjX)
- 5*X+3* < Х''3^3/ЙХ < X > > I...
-5*х+з*<х''3хз/г>х<х>> i.„
-5*S1+3*
■amial
HP39G HP40G
Thus, substituting X for SI, it can be seen that:
3
Jr. - Sdx- - 5,t + 3
A_
3
Л
dX
{X)
This result derives from substituting X=S/ and X=0 into the
original expression found in step 1. However, substituting
X=0 will not always evaluate to zero and may result in an
unwanted constant.
To see this, consider: |(x - 2)"* ^ ^ ^
Using mathematical functions 10-25