Section 14: Numerical Integration 195
In Run Mode:
2. Key the lower limit of integration (a) into the X-register, then press
v to lift it into the Y-register.
3. Key the upper limit of integration (b) in to the X-register.
4. Press ´ f followed by the label of your subroutine.
Example: Certain problems in physics and engineering require calculating
Bessel functions. The Bessel function of the first kind of order 0 can be
expressed as
J
0
(x) =
1
0
cos (x sin θ) dθ.
Find J
0
(1) =
1
0
cos (sin θ) dθ.
In Program mode, key in the following subroutine to evaluate the function
f(θ) = cos (sin θ).
Keystrokes Display
| ¥
000-
Program mode.
´ CLEAR M
000-
Clear program memory.
´ b 0
001-42,21, 0
Begin subroutine with a b
instruction. Subroutine
assumes a value of θ is in
X-register.
[
002- 23
Calculate sin θ.
\
003- 24
Calculate cos (sin θ).
| n
004- 43 32
Now, in Run mode key the lower limit of integration into the Y-register
and the upper limit into the X-register. For this particular problem, you
also need to specify Radians mode for the trigonometric functions.
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