HP HP-20S - Page 95

0 63- 22 0 X.
=] 64- 65 x6 — «x.
1 65- 1
(=] 66- 74 x6 —x — 1,
(7] b62E Checksum (page 66).
() Exits Program mode.
0(sT10]5 0.0000 Saves x; (lower limit).
3 6 3.0000 Saves x, (upper limit).
8 A 305.2806 Enters number of inte-
gration intervals and
calculates integral.
Remarks:
The Simpson’s rule integral can only be calculated if the number of
integration intervals is an even, positive integer. The message Error -
Func appears immediately after starting the program if an odd, nega-
tive, or noninteger number of integration intervals is used.
After calculating the integral, the lower and upper limits of integra-
tion (xy and x,) are still in Ry and R¢. The integral can be calculated
with a different number of integration intervals by entering the new
number of intervals and pressing A, without reentering the inte-
gration limits.
The function f(x) for any x can be calculated by entering the value for
x and pressing F.
This program uses the following equations:
Simpson's Rule: [ ) dx ~ _;_l_[f(xo) + 4f() + 2f0) + ...
+ 4f(x, _53) + 2f(x,_,) + 4f(x,_,)
+ f(x,)]
X, — X . e
where h = "0 and n is an even, positive integer.
7: Built-in Program Library 93