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HP 15c User Manual

Page 198

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198 Section 14: Numerical Integration

Keystrokes

Display

[

002–

23 Calculate sin

θ

.

-

003–

30 Since a value of

θ

will be

placed into the Y-register by
the f algorithm before it
executes this subroutine, the
- operation at this point
will calculate
(

θ

– sin

θ

).

\

004–

24 Calculate cos (

θ

sin

θ

).

|n

005–

43 32

In Run mode, key the limits of integration into the X- and Y-registers. Be
sure that the trigonometric mode is set to Radians, then press ´f 1 to
calculate the integral. Finally, multiply the integral by 1/π to calculate
J

1

(1).

Keystrokes

Display

Run mode.

0

v

0.0000

Key lower limit into
Y-register.

| $

3.1416

Key upper limit into
X-register.

| R

3.1416

(If not already in
Radians mode.)

´f 1

1.3825

|$ ÷

0.4401

J

1

(1).

Example:

Certain

problems

in

communications theory (for example, pulse
transmission through idealized networks)
require calculating an integral (sometimes
called the sine integral) of the form

t

dx

x

x

t

Si

0

)

sin(

)

(

.