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@ thynric.Fslqiüt _- en§rmE uquataa.

(* Méthode des rectangles LyON 90 *) program _1yon90;

uses crt;

var n, i- : integer;

function _f ⁽ ixe:real _{) :real ;}

begin

f::4/ (l+ixe*ixe);

end;

begin

clrscr,-

write('Donnez la valeur de n. n:r.)ireAqh(n).

writeln;writeln( ^ru( r _{rD,, )=r}

rrectangle(Or1 rn) ) ;

end.

Q Arctu,

t ₌ ^lt .

^§o _::

^ll

runcrron _rectangle ( Bornelnf _{, BorneSup:} real ; haine : integer ₎ : real ;

var k: integer;rrpas : real ;

begin

pas i:j BorneSup-BorneInf ₎ /haine;

r:=f (Bornefnf _),.

for k:=1 to haine-L do

r::r*f ⁽ Bornefnf+k*pas _{) ;} rectangle. _=rrkpas;

end;

Donnez

ra vâffi

u(tO;= 3.2O344161_2OE+OO

(* Héthode des rectangles _{LyON 9O *)}

progrram 1yon90;

uses crt;

const DimMax=204g,.

type tableau=arrayt1. .3,1. .DimMaxl of real;

var n, i ^: integer;a,b: _real ;tab:tableau,.

function f(ixe:real):rea1 i ^.,

begin

f::4/t1+ixe*ixe); ii

end,' ^)-..

È

f

function rectangle ⁽ Bornernf _, Bornesup: rear ; haine: integer ₎ : real ;

var k: integer;rrpas : real ;

begin

pas: ₌ ( BorneSup-BorneInf ₎ /haine ⁱ r t:f ⁽ Bornelnf ₎ ;

for k:=1 to haine-1 do r::r*f(Bornelnf+k*pas);

rectangle: _{=r*pas i} end;

procedure TroisSuites ⁽ Bornelnf , BorneSup : real ^{; pe :} integer ; var T: tableau )

var k,puis:integer;

begin

puis::1 ;

for k::O to ^{pe+2 do}

begin

t [ 1, k ] ^: :rectangle( _{Bornelnf , BorneSup, puis ) ;puis :} :puis+puis _; end;

for k::0 to pe+l do tL2,kl::2*t[1,k+1]-t[1,k];

for k::0 to ^pe do t[3,k]:=14*t[2tk+L]-tl2,k1)/Z;

end;

begin

clrscr;

writeln('Je vous propose de calculer le terme de la writeln;write('Donnez p. p:, ₎ ;readln(p),-

write('Donnez la borne inférieure de lrrintervalle readln(a);

write('Donnez la borne supérieure de Irrintervalle

readln ⁽ b) ;writeln;

TroisSuites ⁽ â rb, ^p, tab) ;

puissance:=Lî ", ^:1*)

for i::0 to p do

suite w d"indice 2 puissanc

d"intégration. a:, );

d"intégration. b:, ₎ i

begin

write('u(' rpuissancet2,, ):r rtab[ ¹ ri ^{] ) ;} write(' y(' ,puissancez2,, )=, ,tab[ ² r:-]);

writeln(' vtt',puissancez2 r, l:r,tab[3ri] ) ^; pui ssance : :puJ-ssance+pui _{ssance ;}

end; i ^.

writeln('u(,rpuissance:2 rr):rrtab[1rp+1]r, y(r,puissance:2,r)=r,tabIZ,p+L]);

puissance::puissance+puissance; writeln( ^{ru( r} rpuissance, ^, )=r',tabI t,p+2]);

end.

Je vous Donnez Donnez Donnez

u( 1):

u( 2):

u( 4):

u( 8)=

u( 1-6 ):

propose de calculer le terme de ta suite w d,indice 2 ^{puissance p} P. P:2

la borne inférieure Ia borne supérieure

4. OOoooOOoooE+oO v(

3.6OO0OOOOooE+oO v(

3.381L764706E+Oo v(

3.2639A84945E+00 v(

3 .20344L61-208+OO

de f intervalle drintégration. â:0 de ]'intervalle drintégratiort. b:l_

1): 3.2OOO00OOOOE+OO w( 1): 3.14980392168+00

2): ³ .L62352941-28+oo w( Z): ³ . llrors ^{377 4fl,+Oo} 4\: 3.1-4680051848+00 w( 4)= 3.14'[592BOO0E+OO

8)= 3.14289472968+00 j

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