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
=
cos (θ − sin θ) dθ.
| $ ÷
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
Si(t) =
t
0
sin x
x
dx .
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