Verifica Integrazione 2 Novarese
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Novarese Patrick 09/12/2008 5C Info Metod Funzione a = 0 1 cas b = 30 n = 50 i xi 0 0 h = 0.6 1 0.6 2 1.2 3 1.8 4 2.4 5 3 6 3.6 7 4.2 8 4.8 9 5.4 10 6 11 6.6 12 7.2 13 7.8 14 8.4 15 9 16 9.6 17 10.2 18 10.8 19 11.4 20 12 21 12.6 22 13.2 23 13.8 24 14.4 ∫ 0 ∞ 1 1+ x 2 dx
Transcript of Verifica Integrazione 2 Novarese
Novarese Patrick09/12/20085C Info
Metodo dei rettangoli
Funzione
a = 0
1 casob = 30
n = 50 i xi f(xi)
0 0 1h = 0.6 1 0.6 0.7352941176
2 1.2 0.40983606563 1.8 0.23584905664 2.4 0.14792899415 3 0.16 3.6 0.07163323787 4.2 0.05364806878 4.8 0.04159733789 5.4 0.0331564987
10 6 0.02702702711 6.6 0.022441651712 7.2 0.018925056813 7.8 0.016170763314 8.4 0.013974287315 9 0.01219512216 9.6 0.010734220717 10.2 0.009520182818 10.8 0.0085005119 11.4 0.007635919420 12 0.006896551721 12.6 0.006259389122 13.2 0.005706459723 13.8 0.005223568724 14.4 0.0047993857
∫0
∞ 1
1+x2dx
25 15 0.004424778826 15.6 0.004092322827 16.2 0.003795930828 16.8 0.003530574829 17.4 0.003292072730 18 0.003076923131 18.6 0.002882176632 19.2 0.002705334933 19.8 0.002544270334 20.4 0.002397161835 21 0.002262443436 21.6 0.002138762937 22.2 0.002024947438 22.8 0.001919975439 23.4 0.001822954640 24 0.001733102341 24.6 0.001649729442 25.2 0.001572228243 25.8 0.0015000644 26.4 0.001432746945 27 0.00136986346 27.6 0.001311028447 28.2 0.001255902748 28.8 0.001204180949 29.4 0.0011555884
2 caso
i xi f(xi)1 0.6 0.73529411762 1.2 0.40983606563 1.8 0.2358490566
4 2.4 0.14792899415 3 0.16 3.6 0.07163323787 4.2 0.05364806878 4.8 0.04159733789 5.4 0.0331564987
10 6 0.02702702711 6.6 0.022441651712 7.2 0.018925056813 7.8 0.016170763314 8.4 0.0139742873
15 9 0.01219512216 9.6 0.010734220717 10.2 0.009520182818 10.8 0.0085005119 11.4 0.007635919420 12 0.006896551721 12.6 0.006259389122 13.2 0.005706459723 13.8 0.005223568724 14.4 0.004799385725 15 0.004424778826 15.6 0.004092322827 16.2 0.003795930828 16.8 0.003530574829 17.4 0.003292072730 18 0.003076923131 18.6 0.002882176632 19.2 0.002705334933 19.8 0.002544270334 20.4 0.002397161835 21 0.002262443436 21.6 0.002138762937 22.2 0.002024947438 22.8 0.001919975439 23.4 0.001822954640 24 0.001733102341 24.6 0.001649729442 25.2 0.001572228243 25.8 0.0015000644 26.4 0.001432746945 27 0.00136986346 27.6 0.001311028447 28.2 0.001255902748 28.8 0.001204180949 29.4 0.001155588450 30 0.0011098779
3 caso
i xi f(xi)1 0.3 0.91743119272 0.9 0.5524861878
3 1.5 0.3076923077
4 2.1 0.18484288355 2.7 0.12062726186 3.3 0.08410428937 3.9 0.06169031468 4.5 0.04705882359 5.1 0.0370233247
10 5.7 0.029859659611 6.3 0.024576062912 6.9 0.020571898813 7.5 0.017467248914 8.1 0.015012760815 8.7 0.013039509716 9.3 0.011429877717 9.9 0.010099989918 10.5 0.00898876419 11.1 0.008050881620 11.7 0.007252157521 12.3 0.006566419322 12.9 0.005973358823 13.5 0.005457025924 14.1 0.005004754525 14.7 0.004606384426 15.3 0.004253690127 15.9 0.003939955128 16.5 0.003659652329 17.1 0.003408200130 17.7 0.003181774831 18.3 0.002977165132 18.9 0.002791658533 19.5 0.002622950834 20.1 0.002469074835 20.7 0.002328342936 21.3 0.002199300637 21.9 0.002080689138 22.5 0.001971414539 23.1 0.001870522440 23.7 0.001777177541 24.3 0.001690645742 24.9 0.0016102843 25.5 0.001535508644 26.1 0.001465824345 26.7 0.00140077646 27.3 0.001339961747 27.9 0.001283021848 28.5 0.001229634249 29.1 0.0011795096
Metodo dei trapezi
i0 0 11 0.6 0.73529411762 1.2 0.40983606563 1.8 0.23584905664 2.4 0.14792899415 3 0.16 3.6 0.07163323787 4.2 0.05364806878 4.8 0.04159733789 5.4 0.0331564987
10 6 0.02702702711 6.6 0.022441651712 7.2 0.018925056813 7.8 0.016170763314 8.4 0.013974287315 9 0.01219512216 9.6 0.010734220717 10.2 0.009520182818 10.8 0.0085005119 11.4 0.007635919420 12 0.006896551721 12.6 0.006259389122 13.2 0.005706459723 13.8 0.005223568724 14.4 0.004799385725 15 0.004424778826 15.6 0.004092322827 16.2 0.003795930828 16.8 0.003530574829 17.4 0.003292072730 18 0.003076923131 18.6 0.002882176632 19.2 0.002705334933 19.8 0.002544270334 20.4 0.002397161835 21 0.002262443436 21.6 0.002138762937 22.2 0.002024947438 22.8 0.001919975439 23.4 0.001822954640 24 0.001733102341 24.6 0.001649729442 25.2 0.001572228243 25.8 0.0015000644 26.4 0.0014327469
xi f(xi)
45 27 0.00136986346 27.6 0.001311028447 28.2 0.001255902748 28.8 0.001204180949 29.4 0.001155588450 30 0.0011098779
Metodo delle parabole
i xi f(xi)0 0 11 0.6 0.73529411762 1.2 0.40983606563 1.8 0.23584905664 2.4 0.14792899415 3 0.16 3.6 0.07163323787 4.2 0.05364806878 4.8 0.04159733789 5.4 0.0331564987
10 6 0.02702702711 6.6 0.022441651712 7.2 0.018925056813 7.8 0.016170763314 8.4 0.013974287315 9 0.01219512216 9.6 0.010734220717 10.2 0.009520182818 10.8 0.0085005119 11.4 0.007635919420 12 0.006896551721 12.6 0.006259389122 13.2 0.005706459723 13.8 0.005223568724 14.4 0.004799385725 15 0.004424778826 15.6 0.004092322827 16.2 0.0037959308
28 16.8 0.003530574829 17.4 0.003292072730 18 0.003076923131 18.6 0.002882176632 19.2 0.002705334933 19.8 0.002544270334 20.4 0.002397161835 21 0.002262443436 21.6 0.002138762937 22.2 0.002024947438 22.8 0.001919975439 23.4 0.001822954640 24 0.001733102341 24.6 0.001649729442 25.2 0.001572228243 25.8 0.0015000644 26.4 0.001432746945 27 0.00136986346 27.6 0.001311028447 28.2 0.001255902748 28.8 0.001204180949 29.4 0.001155588450 30 0.0011098779
Metodo dei rettangoli
VALORE ESATTO -0.9988901 erroreRETT 1 1.8372291 2.8361192RETT 2 1.237895047 2.2367851687RETT 3 1.536708 2.5355982TRAPEZIO 1.5375621 2.5364522PARABOLA 1.5319914 2.5308815
3.0620485
Superficie 1.8372291
Sommatoria f(xi) =
2.0631584
Superficie 1.237895
Sommatoria f(xi) =
2.5611801
Superficie 1.536708
Sommatoria f(xi) =
Metodo dei trapezi
valore somma1
1.4705882352940.819672131148 sommatoria 5.12520690.4716981132080.295857988166 superficie= 1.5375621
0.20.1432664756450.1072961373390.0831946755410.0663129973470.0540540540540.044883303411
0.037850113550.03234152652
0.0279485746230.0243902439020.0214684413910.0190403655750.0170010200610.0152718387290.0137931034480.0125187781670.0114129194250.0104471374840.0095987713570.0088495575220.0081846456050.0075918615240.0070611495550.0065841453780.006153846154
0.005764353240.0054106698410.0050885406070.0047943235210.0045248868780.0042775258790.0040498947030.003839950849
0.003645909290.0034662045060.0032994588890.0031444563240.0030001200050.002865493725
0.0027397260270.0026220567410.0025118054860.0024083618320.0023111768510.001109877913
Metodo delle parabole
valore somma1
2.941176470588 sommatoria 7.65995710.8196721311480.943396226415 superficie= 1.53199140.295857988166
0.40.1432664756450.2145922746780.0831946755410.1326259946950.0540540540540.089766606822
0.037850113550.06468305304
0.0279485746230.0487804878050.021468441391
0.038080731150.0170010200610.0305436774590.0137931034480.0250375563350.0114129194250.0208942749690.0095987713570.0176991150440.0081846456050.015183723049
0.0070611495550.0131682907560.0061538461540.0115287064790.0054106698410.0101770812130.0047943235210.0090497737560.0042775258790.0080997894050.003839950849
0.007291818580.0034662045060.0065989177770.003144456324
0.006000240010.0028654937250.0054794520550.0026220567410.0050236109720.0024083618320.0046223537030.001109877913
