HP 39gs Master Manual page 73

Integration: The algebraic indefinite integral
Algebraic integration is also possible (for simple functions), in the following fashions:
If done in the
• SYMB
variable (or
S1
there is no constant of integration 'c'.
The screenshot right shows the results of defining
−1 and then F 2( X ) =
1( ) =
2
F X X
with the results of the same thing after pressing the
(the result is placed in
All that is now necessary is to read '
or as it should be read as
If done in the
•
HOME
as the variable of integration.
∫
x − 1 dx
i.e. 2
∫
( 1, S1, X
This is shown above, together with the results of highlighting the answer and pressing
result may seem odd but is caused by calculator assuming that
other variable and integrating accordingly as a 'partial integration'.
While mathematically correct, this is not what most of us want.
The way to simplify this answer to a better form is to highlight it,
it, and press
right. This is the result of the calculator performing the
substitutions implied in the previous expression.
view of the Function aplet, then the integration must be done using the symbolic
, , or ). If done in this manner then the results are satisfactory, except that
S2 S3 S4 S5
(
∫
0, 1,
only for convenience of viewing).
F3(X)
-S1+S1^3/3
3
x
− + .
x c
3
view, then must again be used
S1
is entered as
2
.
- 1, X )
again, giving the result shown
ENTER
)
, together
−1, X
2
S X
key
3
x
' as − +
x
3
73
,
itself may be a function of some
X
. The