Sharp CE-125 - Page 30

1 1 3
INSTRUCTIONS
1. Using I DEF I rn . the p rogram i s s t a rt e d a nd a s el ec t ion e ith e r th e data i np ut
m et h o d or the function e quat i on input me t hod o f cal c ulation h a s to be don e .
Th e i n t egrat i o n interval's sta rt i ng poin t , e nd in g po i nt , and nu m ber o f div i-
s ion s h as to b e i nput .
Th e da ta input m et h od of cal cula t i ng :
as the i n t e g r a t ion interva l s ar e be i ng input th e data i s pr i n ted .
The function equation input meth o d of c a lculat i ng:
the f u nc t ion value s are p r int e d a c c ording to the function equa ti on .
2. The IDEF I rn cor r ects the input dat a as re qu i red. Enter r e vision numbe r
and r evi si on va l ue.
2. Integration using the function equat i on written in the program
U sing th e in p ut f unct i on e qua t i o n as a b ase , th e inte r v als [ a , bl a re spl i t u p
int o n sm a lle r int er val s a nd th e fu n cti o n v alu e s a re calculat e d and pr in t e d .
T he in t egra t ed v a lu e s are also p rint e d.
"" ~ CYo+ 4 y 1 +2Yz + 4y3 + · · ·
· · · + 4y _ i+ Y n)
h = b - a
n
cur ve .
A ft e r th e da ta (fun c tion
va lues ) for t h e s mall e r i nt e r -
v a ls a r e input , the i n te g rated
valu es ar e print e d.
N /2 - 1
= !: I ·
t = e I
N _l. 2 - 1 ·
t f(x)dx ~ ~ f·~· P Hx)dx
a t = e X • z
1. Data is input and integration carried ou t .
S i mpson' s 1 / 3 formula s plits
t h e i nt erval [a , bl int o n
s mall e r in te rval s.
T h e valu e s of the fu n ctio n
o ver t h e small er i nte r vals ar e
appro x im ate d in 2 's (2i, 2i+1
un i ts) b y using a 2nd or de r
equa t io n t o a pp roxi mat e t h e
CONTENTS (calculation contents)
OVERVIEW
Num e rica l I nte g r a tio n i s don e on f un c t i o n val ue s g i v e n at e qu a l in t e rva l width s
o f the int eg r a t i on in terval.
If t h e fun c t io n e qu ati on is wr i t te n i n the p ro g ram t h e valu es in the i n te rval s o f
in t e grati o n a r e automati ca lly giv e n .
Program Tit l e : NUMERICAL INTEGRATION USING SIMPSON'S
RULE
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