Karrali integrallarni taqribiy hisoblash usullari reja karrali integral haqida ma’lumot

_{C = FNF1(a): D = FNF2(b): PRINT "c="; C, " b="; b}
'INPUT "C
_{c = FNF1(a): d = FNF2(b): PRINT "c="; c, "d="; d
'INPUT "C=f1(a),B=f2(b) "; c, d
'INPUT "M= "; M
M = FNF(b, d): PRINT "m="; M
INPUT "Y=1"; y: IF y = 1 THEN 28
FOR I = 1 TO N
X(I) = a + (b - a) * RND(1): y(I) = c + (d - c) * RND(1): Z(I) = M * RND(1)
y1(I) = FNF1(X(I)): y2(I) = FNF2(X(I)): NEXT I
PRINT " xi yi zi y1(i) y2(i) FNF(xi, yi)"
FOR I = 1 TO N
PRINT USING "###.#####"; X(I); y(I); Z(I); y1(I); y2(I); FNF(X(I), y(I)): NEXT I
FOR I = 1 TO N
'IF y1(I) < y(I) AND y(I) < y2(I) THEN IF Z(I) < FNF(X(I), y(I)) THEN N1 = N1 + 1: xT(N1) = X(I): yT(N1) = y(I): ZT(N1) = Z(I)
IF y1(I) < y(I) AND y(I) < y2(I) THEN N1 = N1 + 1: xT(N1) = X(I): yT(N1) = y(I): ZT(N1) = Z(I)
NEXT I: PRINT "N1="; N1
INPUT "Y=1"; y: IF y = 1 THEN 73
FOR I = 1 TO N1
PRINT USING "####.#####"; xT(I); yT(I); ZT(I); FNF(xT(I), yT(I))
NEXT I: PRINT
FOR I = 1 TO N1
IF ZT(I) < FNF(xT(I), yT(I)) THEN N2 = N2 + 1: xTT(N2) = xT(I): yTT(N2) = yT(I): ZTT(I) = ZT(I)
NEXT I: PRINT "N2="; N2
PRINT " xtT(i) ytT(i) ztT(i) FNF(xtT(I), ytT(I))"
FOR I = 1 TO N2
PRINT USING "####.#####"; xT(I); yT(I); ZT(I); FNF(xT(I), yT(I))
'S = S + FNF(xT(I), yT(I))
NEXT I
PRINT "w="; (b - a) * (d - c)
s1 = (b - a) * (d - c) * N2 * M / N: PRINT " S1="; s1
N=10
A}
c= 0 d= 1

xi yi zi y1(i) y2(i) FNF(xi, yi)

0.70555 0.53342 0.00000 0.35277 0.70555 1.77240

0.28956 0.30195 0.00000 0.14478 0.28956 0.89346

0.01402 0.76072 0.00000 0.00701 0.01402 1.53546

0.70904 0.04535 0.00000 0.35452 0.70904 0.79974

0.86262 0.79048 0.00000 0.43131 0.86262 2.44358

0.96195 0.87145 0.00000 0.48098 0.96195 2.70484

0.94956 0.36402 0.00000 0.47478 0.94956 1.67759

0.76711 0.05350 0.00000 0.38356 0.76711 0.87412

0.46870 0.29817 0.00000 0.23435 0.46870 1.06503

0.64782 0.26379 0.00000 0.32391 0.64782 1.17541

N1= 4

xt(i) yt(i) zt(i) FNF(xt, yt)

0.70555 0.53342 0.00000 1.77240

0.86262 0.79048 0.00000 2.44358

0.96195 0.87145 0.00000 2.70484

0.46870 0.29817 0.00000 1.06503

S1=0 .4

Y=1

xi yi zi y1(i) y2(i) FNF(xi, yi)

2.82219 17.06957 3.47711 8.46657 22.57752 4.46002

1.15825 9.66234 4.64844 3.47475 9.26600 3.28947

0.05607 24.34315 4.88694 0.16821 0.44856 4.93956

2.83615 1.45129 2.48420 8.50846 22.68921 2.07061

3.45048 25.29536 2.24122 10.35143 27.60382 5.36151

3.84781 27.88627 0.33742 11.54344 30.78250 5.63330

3.79823 11.64860 3.14921 11.39468 30.38581 3.93024

3.06845 1.71214 3.55475 9.20534 24.54757 2.18646

1.87480 9.54129 3.73618 5.62440 14.99840 3.37877

2.59128 8.44137 1.67605 7.77385 20.73028 3.32154

3.31921 26.38727 3.53498 9.95762 26.55365 5.45036

3.94437 29.15086 1.36120 11.83312 31.55498 5.75285

2.78046 31.36010 1.46359 8.34139 22.24370 5.84299

2.13549 3.40383 5.99649 6.40648 17.08394 2.35358

2.70470 0.50253 3.45110 8.11411 21.63763 1.79087

0.40021 3.29672 4.79331 1.20063 3.20167 1.92274

1.13792 1.46077 1.77464 3.41376 9.10337 1.61205

1.52804 9.63106 5.69143 4.58413 12.22434 3.34052

3.91932 12.84398 1.66968 11.75795 31.35454 4.09430

0.64177 5.21029 3.87952 1.92530 5.13413 2.41910

N1= 10

Y=1

2.82219 17.06957 3.47711 4.46002

3.45048 25.29536 2.24122 5.36151

3.84781 27.88627 0.33742 5.63330

3.79823 11.64860 3.14921 3.93024

1.87480 9.54129 3.73618 3.37877

2.59128 8.44137 1.67605 3.32154

3.31921 26.38727 3.53498 5.45036

3.94437 29.15086 1.36120 5.75285

1.52804 9.63106 5.69143 3.34052

3.91932 12.84398 1.66968 4.09430
N2= 8

xtT(i) ytT(i) ztT(i) FNF(xtT(I), ytT(I))

2.82219 17.06957 3.47711 4.46002

3.45048 25.29536 2.24122 5.36151

3.84781 27.88627 0.33742 5.63330

3.79823 11.64860 3.14921 3.93024

1.87480 9.54129 3.73618 3.37877

2.59128 8.44137 1.67605 3.32154

3.31921 26.38727 3.53498 5.45036

3.94437 29.15086 1.36120 5.75285

w= 128

S1= 307.2