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Integrating a program – HP 32SII User Manual

Page 223

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Solving and Integrating Programs 14–7

File name 32sii-Manual-E-0424
Printed Date : 2003/4/24 Size : 17.7 x 25.2 cm

Integrating a Program

In chapter 8 you saw how you can enter an equation (or expression) — it's
added to the list of equations — and then integrate it with respect to any
variable. You can also enter a program that calculates a function, and then
integrate it with respect to any variable. This is especially useful if the function
you're integrating changes for certain conditions or if it requires repeated
calculations.

To integrate a programmed function:

1. Enter a program that defines the integrand's function. (See "To write a

program for

FN" below.)

2. Select the program that defines the function to integrate: press

{

V

label. (You can skip this step if you're reintegrating the same program.)

3. Enter the limits of integration: key in the lower limit and press

š

then

key in the upper limit.

4. Select the variable of integration and start the calculation: press

{

œ

variable.

Notice that FN= is required if you're integrating a programmed function, but
riot if you're integrating an equation from the equation

list.

You can halt a running integration calculation by pressing

†

or

f

.

However, no information about the integration is available until the
calculation finishes normally. To resume the calculation, press

f

again.

Pressing

W

while an integration calculation is running cancels the

FN

operation. In this case, you should start

FN again from the beginning.

To write a program for

FN;

The program can use equations and RPN operations — in whatever
combination is most convenient.
1. Begin the program with a label. This label identifies the function that you

want to integrate (

/

label).

2. Include an INPUT instruction for each variable, including the variable of

integration. INPUT instructions enable you to integrate with respect to any
variable in a multi–variable function. INPUT for the variable of integration