21
13
Definite integrals
(Simpsons formula)
The value of a definite integral can be approximated by Simpsons formula,
:number of stripes
As becomes larger the approximation becomes better, and the limit as approaches
infinity is consistent with the true answer.
In general, this method gives good approximations.
Program
？→ Ａ：？→ Ｂ：？→ Ｃ：１→ Ｄ：（Ｂ－Ａ）÷２Ｃ→Ｍ：√Ａ→ Ｙ：Ｌｂｌ １：Ａ ＋
２ＤＭ－Ｍ→Ｘ：Ｙ＋４√Ｘ
→Ｙ：Ｘ＋Ｍ→Ｘ：Ｙ＋２√Ｘ→ Ｙ：Ｄ ＋１→ Ｄ：Ｃ ＞
Ｄ⇒Ｇｏｔｏ １：Ｂ－Ｍ→Ｘ：Ｙ＋４√Ｘ
＋√ Ｂ → Ｙ：ＹＭ ÷３→ Ｙ：Ｙ ＜ 105 STEP ＞
INPUT Ａ,Ｂ : interval of integration [
Ａ
,
Ｂ
] Ｃ: number of stripes
OUTPUT Ｙ : value of the definite integral
Execution Example:
Calculate .
fx()xd
A
B
∫
h
3
---
fA() fB() 4 fA 2i 1–()h+()
i 1=
n
∑
2 fA 2ih+()
i 1=
n 1–
∑
++ +
≈
h
BA–
2n
-------------= n
nn
ON
MODE MODE MODE
1
PRGM
MODE
1
COMP
1
P1
xxd
0
10
∫
10
20
3
-------------- 21.08185107==
Prog
1
S A
D R
P1
P2 P3 P4
G
0
EXE
1 0
EXE
S A
D R
P1
P2 P3 P4
G
関数電卓事例集 .book 21 ページ ２００２年９月２日 月曜日 午後６時５１分
To Next Page
Loading...
