Newto-epz Newto-ez 9. 9.. d. d A A A A 9. d A R 9. 9. A R R R 9.. F g g g --
g grge 9. d ξ d ω! d l l d A R ω ξ! d l d R 9. ω Newto-Cotes uss grge uss Roerg Newto-Cotes 9.. d A 9. grge 9.. grge 9.
A A d d. d [ ] T 9.. 9-9.5 9.5 9.5 9.5 9-9.. 9.5 Newto-ez d Newto-ez d Newto-ez [] R η 9.6
R ξ d ξ η [ ] [ ] R η 9.. d η 9-9.5 - [ ] d d [ ] ξ ξ [ ] ξ ξ η [ ] ξ ξ d ξ [ ] 9.7 T E 9.7
T [ ] 9.8 E ξ 9.9 9.8 9.9 9..5 T C -/; T T [ ] t.5*; []; or;<; { [][-]; } tt*; tt[]; [ ] [ ] 9..6 d 5
t [.5.5 ] 9-9- 9-.5.75 9-.5.5.8.5.775 9-.5.98.8.6.5.7879 d rctg rctg &. 78598 9. Spso Spso 9.. Spso Spso Spso grge 9. T T T 6
7 6 d A d A 6 d A Spso [ ] 6 S d 9. grge Spso 9.. Spso Spso d ] [ 6 S ] [ 6 d Spso c c c c Spso Spso 9.. Spso ] [ Spso ] [ 6 d 5 88 ζ
8 Newto N N N N N! N ξ ξ grge N grge d N d S d d d N d d N ] [ d! ξ d! ξ
ζ d! ζ 88 5 9.. Spso Spso Spso [ ] / Spso d d [ ] S 9. Spso s E d S η 8 η [ ] 9. 9..5 Spso S / S S / s; 9
or;<; ss***; or;<; ss**-*; ss*/; 9..6 Spso Spso I d S / 9-9-5 9-6 9- Spso.5 S.5.8.5.78 9-5 Spso.5.5.75 S.5.98.8.6.5.7859 9-6 Spso 6 5 6 S /6.9797.9.69.596.5.785 ε 88 5 η 88 88 5 η ε
9. Newto--Cotes Spso Newto--Cotes grge Newto--Cotes 9.. Newto--Cotes / t 9. A t t t t t dt!!!! t t t t t dt c t t t t t dt!! K 9. A c 9.5 c d c K 9.6 Cotes 9. Cotes Cotes 9. c t dt c tdt d [ ] Spso
c t t dt c 6 t t dt d & [ ] 6 d [ ] 8 9.7 Cotes 9-7 9-7 Cotes c 6 8 7 9 5 9 88 6 8 7 75 78 8 989 85 6 8 6 5 5 96 9 5 577 78 5888 85 6 8 5 5 9 8 8 6 5 5 5 989 78 78 98 96 85 85 7 9 5 96 9 8 989 9 88 9 5 78 78 5 96 85 85 c 8 577 t t dt 75 78 78 98 5888 85 85 9.7 6 989 85 9.. Newto-Cotes Newto-Cotes k k 9.8 /
c d c d c c d d 9.9 9.9-9. c d d d d d d c d 9. 9.. Newto-Cotes [] Newto-Cotes
ξ ω! d ξ R[ ] ω! d ω 9. 9.. Newto-Cotes Newto-Cotes Newto-Cotes c Newto-Cotes Cotes d c c 9.6 % ε % c c c ε ε ε c > ε c c ε ε 9. - c 9. Cotes >7 c 7 Newto-Cotes
9.5 Roerg Roerg Roerg 9.5. [ ] 9. T.. T T T T T T T T T 9. k k... k k k k / T k T T k k 9. k k k k / k T k T k > ε k / 5
9. 9.5. ε t t [ ] ; ; -; t.5*; /* t */ s*ep; t k s T k k s T T k T k k k / Wles>ep {.5*; k k > ε [ ] k k } t; or;<; tt*-*; t.5*tt*; sst-t; tt; ; 9.5. 6
I e d 9. 9-8 k T.6788.689 9-9 k / T / /.665.97.65 9- k / / T T T /.7788.77.6.65 9-8 k /8 /8 5/8 7/8 T /8.885.6879.556.686.677.69 9-6 k 5 7 9 5 T / T / 6 6 6 6 6 6 6 6 6.99.89.76.655.56978.58.75.96.67.6 T T.6 < ε I. 6 9.5. Roerg 9. { T k } Roerg T T 7
I T I T I-T T T T T T T T T ~ T T T T T / T -/ T T 9.5 Spso T [ [ T ] ] T [ ] [ T T [ 6 ] ] ] Spso T S T 9.5 { T k } 9.5 Spso { S k }. Spso { { C k } S k } 9.5 Cotes 6 C S S 5 5 S S 9.6 8
Cotes Roerg { R } k C R C 9.7 Roerg Roerg {T k } {T k } Spso Roerg T T T [ k T T T Roerg 9- T T T k ] / T T T [ k ] T T T T T T T T T 9- Roerg 9.8 Roerg T 9-8 9.5.5 Roerg T - 9
T. T [ ] T T [ k k t[][].5**; or;<; { /; } T t[][]t[-][]/; ork;k<;k T T t[][] t[][]* *k-*}; T * ; or;<; { or; <; } *; ] t[][]* t[][-]- t[-][-]/-; 9.5.6 Roerg Roerg I e d ε < 7. T 9-.68997 9- Roerg
.6558.67.659.6.685.699.68.655.65 Roerg 9.6 uss d A 9-9 grge 9.6. 9-9 d A A A 9- A A A A A A A A A A 6 6 d 6 6 9-9. 9.
A A.... A A 9. 9. 9. uss 9.6. uss d g uss. uss g. uss uss uss 9. uss [ ] ρ ρ d ρ [ ] g ρ d... ρ d ρ g g g d > { g } [ ] ρ g [ ] ρ egedre
P d [ ] P! d [-] ρ Cesev T cos rccos [-] ρ uss q p p.. p q c p c ρ [ ] { p } p { p } p ρ [ ] [ ] ρ 9.6. uss uss uss uss [ ] grge d l d l d g 9. uss 9. g uss uss uss-egedre egedre
[ ] t - uss d d g 9. uss d - d egedre grge d d [ ] d... g g ω ω g egedre d ω g d g uss uss egedre uss uss ~7 uss egedre uss uss 9-7 9-7 uss uss g q ±.5775 5 ±.9695.79 ±775967.5555556 ±.669865.67657 ±.86986.67996.888889 6 ±.9979.98966 ±.75856.797595 ±866.7858 ±.5855.8855 ±988.655.795987 7 ±.96898565.856 ±.96798.6969 ±.79666677.85
±.5896.78687 ±.55599.76659.5688889 ±.865.66878 > g 9.6. uss g s s s g or ;<; ssg[]*-/*[]/; ss*-/; 9.6.5 uss uss-egedre I d s g 9-8 9-9 g 9-8 uss g g s -.57757.57757.96 9-9 uss g g g s.5555556.8888889.5555556 -.7759657.7759657.897596 5
9.6.6 uss P P P ' ' ξ P... ξ! uss uss R ξ!... 9.6.7 uss Newto-Cotes uss uss 5 uss uss l l < uss l l d g l l σ < l d g l g uss d ~ ~ ε s g 6
7 g s ~ ~ g s s ~ ~ g ε d g g ε uss uss uss Newto 9.7 grge Newto-Cotes uss Newto-Cotes uss grge 9.7. grge ] [ ] [ ] [ ] [ d c d c z l l 9. grge q p q p q p q p l l q p q p q q p p l l grge
9.7. Newto-Cotes Newto-Cotes grge Newto- Cotes grge I dd 9.5 dd l 9.6 c l dd l d l c c 9.6 c d c Newto-Cotes Newto-Cotes Cotes c Cotes c c c 9.7. Newto-Cotes Newto-Cotes c 8
k k 9.7 9.7. Newto-Cotes gerge 9.6 9. 9.6 9.6 9. Newto-Cotes P q p - /p l r p q I llc r s l / p l r l / q l r l r l s l s rs r s p q C #dee p #dee #dee {t rsq[p]; lot c[][]l[p]r[p]ll; 9 9.8
lot sors; sc %% & & ; or;<p; sc %% &q[]&l[]&r[]; l /p; so; or;<p; or;<q[]; {lr[]-l[]/q[]; orro;r<;r {r-*lr*l/l[]; ors;s<;s {s-*ls*l/ sosoc[r][s]*rs; } } soso*l*l; } prt % so; } uss 9.7.5 uss grge ; uss Newto-Cotes uss S 9.9 9.7.6 uss uss 9.9 d d dd
[ p 9 q ] p q g p q g [ p 9 q ] p q g egedre egedre dd 9.7.7 uss 9. uss Newto-Cotes uss S p q ll u v C uv l / p l / q p l u l / q u l v l / u Newto-Cotes uss I u v 9. dd l.895 Q 9- Newto-Cotes Q Q Q9.96.89.895
9- uss Q Q.89.895 Newto-Cotes uss I d d π.677 Q 9- Newto-Cotes Q Q Q Q Q8.59.685.65568.66655.6797 9- uss Q Q Q Q Q8.6.685.65568.66655.6797 uss uss 9.8 9.8. l l l 9-9-
9-9- 9-9- O O O 9.8. Roerg 6 6 6 9. 9. Roerg 5 5 6 9.5 ; 9-6
9-6 9.8. / g[][]--/* or;<; {.5*; g[][]--/*; } / - or;<; {or;<-; g[][]*g[][-]-g[-][-]/-; * }
9.8. e 9.6 9-9-.8.765..795.7597..76.787.7885..78.7867.7876.788 9.8.5 Z * 9- * Z 9.7 * 9-6 8 5
6 6 8 / / / / 6 9.8 * * * z 9.9 z * O * * 6 z 9.5 z * O 9.8.6 9.7 9.8 9.9 9.5 ] [..5 *.5.75.5.75.876.8.. 9.8.87 /.6 /.685 /.9 / 6.75.86 * * * z
z * * 6.69895. -.859-.68665 7