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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

)(

−

∫

2))((

÷÷− SMD

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