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15-10 Solving and Integrating Programs
Using Integration in a Program
Integration can be executed from a program. Remember to include or prompt for the
limits of integration before executing the integration, and remember that accuracy
and execution time are controlled by the display format at the time the program
runs. The two integration instructions appear in the program as:
label
∫
variable
The programmed ∫ FN instruction does not produce a labeled display (∫ = value)
since this might not be the significant output for your program (that is, you might
want to do further calculations with this number before displaying it). If you do want
this result displayed, add a PSE (
) or STOP () instruction to display
the result in the X–register after the ∫ FN instruction.
If the PSE instruction immediately follows an equation that is displayed (Flag 10 set)
during each iteration of integrating or solving, the equation will be displayed for 1
second and execution will continue until the end of each iteration. During the
display of the equation, no scrolling or keyboard input is allowed.
Example: ∫ FN in a Program.
The "Normal and Inverse–Normal Distributions" program in chapter 16 includes an
integration of the equation of the normal density function
The function is calculated by the routine labeled F. Other routines
prompt for the known values and do the other calculations to find Q(D), the upper–
tail area of a normal curve. The integration itself is set up and executed from routine
Q:
.e
2
)(
dD
2S
1
2/
S
MD
D
M
−
−
∫
π
2))((
2
÷÷− SMD
e