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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
Find
In Program mode, key in the following subroutine to evaluate the function
f(θ) = cos (sin θ).
Keystrokes
|¥
´ CLEAR M
´b 0
[
\
|n
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.
Section 14: Numerical Integration
π
1
J
(
x
)
cos
0
π
0
π
1
J
(1)
cos
0
π
0
Display
000–
000–
001–42,21, 0
002–
003–
004–
43 32
θ
.
(
x
sin
)
dθ
θ
.
(sin
)
dθ
Program mode.
Clear program memory.
Begin subroutine with a
b instruction.
Subroutine assumes a
value of θ is in X-register.
23
Calculate sin θ.
24
Calculate cos (sin θ).
195
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