contoh integrasi aproksimasi untuk kaidah segiempat 2

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f(x) = Sin(xi^2 + 16) h = (2-0)/20 = 0.1 i xi xi^2 +16 (radian xi^2 +16 (sudutf(x)= Sin(xi^2 +1 0 0 0 0 0 1 0.1 16.01 917.3054300044 -0.2974653568133 2 0.2 16.04 919.0243033898 -0.3259691897154 3 0.3 16.09 921.8890923655 -0.372811139793 4 0.4 16.16 925.8997969314 -0.4367986001383 5 0.5 16.25 931.0564170876 -0.5158818468181 6 0.6 16.36 937.358952834 -0.6068065587627 7 0.7 16.49 944.8074041707 -0.7047258998891 8 0.8 16.64 953.4017710977 -0.8028359050045 8 0.8 16.64 953.4017710977 -0.8028359050045 9 0.9 16.81 963.1420536149 -0.8921293646944 10 1 17 974.0282517224 -0.9613974918796 11 1.1 17.21 986.0603654201 -0.997636990288 12 1.2 17.44 999.2383947082 -0.987028904809 13 1.3 17.69 1013.562339586 -0.9166256802945 14 1.4 17.96 1029.032200055 -0.7767921625903 15 1.5 18.25 1045.647976114 -0.5642759039619 16 1.6 18.56 1063.409667763 -0.2855266614574 17 1.7 18.89 1082.317275002 0.04043305347483 18 1.8 19.24 1102.370797832 0.3805991098141 19 1.9 19.61 1123.570236252 0.68924326123066 20 2 20 1145.915590262 0.91294525072763 fo +Ʃfi + f20 Jadi Luas Integrasi Aproksimasi Menurut Kaidah Segiempat untuk 2 -0.9824747171894 L = h ( fo +2 Ʃfi + f20 ) / 2

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Page 1: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

f(x) = Sin(xi^2 + 16)h = (2-0)/20 = 0.1

i xi xi^2 +16 (radian) xi^2 +16 (sudut) f(x)= Sin(xi^2 +16)0 0 0 0 0 -0.287903321 0.1 16.01 917.3054300044 -0.29746535681331 -0.59493071362 0.2 16.04 919.02430338984 -0.32596918971543 -0.65193837943 0.3 16.09 921.8890923655 -0.37281113979298 -0.74562227964 0.4 16.16 925.89979693141 -0.43679860013834 -0.87359720035 0.5 16.25 931.0564170876 -0.51588184681811 -1.03176369366 0.6 16.36 937.358952834 -0.60680655876272 -1.21361311757 0.7 16.49 944.8074041707 -0.70472589988914 -1.40945179988 0.8 16.64 953.40177109769 -0.80283590500447 -1.605671818 0.8 16.64 953.40177109769 -0.80283590500447 -1.605671819 0.9 16.81 963.1420536149 -0.89212936469438 -1.7842587294

10 1 17 974.0282517224 -0.96139749187956 -1.922794983811 1.1 17.21 986.0603654201 -0.99763699028802 -1.995273980612 1.2 17.44 999.2383947082 -0.987028904809 -1.974057809613 1.3 17.69 1013.562339586 -0.91662568029448 -1.833251360614 1.4 17.96 1029.032200055 -0.77679216259028 -1.553584325215 1.5 18.25 1045.647976114 -0.56427590396186 -1.128551807916 1.6 18.56 1063.409667763 -0.28552666145739 -0.571053322917 1.7 18.89 1082.317275002 0.04043305347483 0.080866106918 1.8 19.24 1102.3707978317 0.3805991098141 0.761198219619 1.9 19.61 1123.570236252 0.68924326123066 1.378486522520 2 20 1145.915590262 0.91294525072763 0.912945251

fo +Ʃfi + f20 = -19.649494344

Jadi Luas Integrasi Aproksimasi Menurut Kaidah Segiempat untuk 20 pias adalah-0.98247471718943

fo +Ʃfi + f20

L = h ( fo +2 Ʃfi + f20 ) / 2 =

Page 2: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

f(x) = Sin(xi^2 + 16)h = (2-0)/50 = 0.04

i xi xi^2 +16 (radian) xi^2 +16 (sudut) f(x)= Sin(xi^2 +16)0 0 16 916.7324722093 -0.287903316665071 0.04 16.0016 916.8241454565 -0.289435202663652 0.08 16.0064 917.0991651982 -0.294026399258643 0.12 16.0144 917.5575314343 -0.301663287293944 0.16 16.0256 918.1992441649 -0.312322386632415 0.2 16.04 919.02430338984 -0.325969189715436 0.24 16.0576 920.0327091093 -0.342556540839237 0.28 16.0784 921.2244613231 -0.362022574699568 0.32 16.1024 922.5995600315 -0.384288233409838 0.32 16.1024 922.5995600315 -0.384288233409839 0.36 16.1296 924.1580052342 -0.40925438815342

10 0.4 16.16 925.89979693141 -0.4367986001383411 0.44 16.1936 927.82493512305 -0.4667715657985612 0.48 16.2304 929.9334198091 -0.4989933034079913 0.52 16.2704 932.2252509897 -0.5332491525606514 0.56 16.3136 934.70042866462 -0.5692856743751715 0.6 16.36 937.358952834 -0.6068065587627216 0.64 16.4096 940.2008234979 -0.6454686655061317 0.68 16.4624 943.2260406562 -0.6848783479496918 0.72 16.5184 946.4346043089 -0.7245882313519619 0.76 16.5776 949.8265144561 -0.764094641781620 0.8 16.64 953.40177109769 -0.8028359050044721 0.84 16.7056 957.1603742337 -0.8401917570527322 0.88 16.7744 961.1023238642 -0.8754841277699823 0.92 16.8464 965.22761998919 -0.9079795740159924 0.96 16.9216 969.5362626086 -0.9368936485568725 1 17 974.0282517224 -0.9613974918795626 1.04 17.0816 978.7035873307 -0.9806269249559727 1.08 17.1664 983.5622694334 -0.993694298878328 1.12 17.2544 988.6042980305 -0.9997033197429829 1.16 17.3456 993.8296731221 -0.997767011647330 1.2 17.44 999.2383947082 -0.98702890480931 1.24 17.5376 1004.830462789 -0.9666874375915432 1.28 17.6384 1010.605877364 -0.9360234391282433 1.32 17.7424 1016.564638433 -0.8944304125892634 1.36 17.8496 1022.706745997 -0.8414471682962135 1.4 17.96 1029.032200055 -0.7767921625902836 1.44 18.0736 1035.541000608 -0.7003986860014437 1.48 18.1904 1042.233147655 -0.6124498182122738 1.52 18.3104 1049.108641196 -0.513411835162339 1.56 18.4336 1056.167481232 -0.40406452543899

Page 3: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

40 1.6 18.56 1063.409667763 -0.2855266614573941 1.64 18.6896 1070.8352007877 -0.1592746909999442 1.68 18.8224 1078.444080307 -0.0271525839995943 1.72 18.9584 1086.236306321 0.1086292924904444 1.76 19.0976 1094.211878829 0.2455083705503245 1.8 19.24 1102.3707978317 0.380599109814146 1.84 19.3856 1110.713063329 0.5107389493234347 1.88 19.5344 1119.23867532 0.6325522552167948 1.92 19.6864 1127.947633806 0.7425329548987649 1.96 19.8416 1136.839938787 0.8371457963804250 2 20 1145.915590262 0.91294525072763

fo +Ʃfi + f20 =

Jadi Luas Menurut Integrasi Aproksimasi Kaidah Segiempat adalah untuk 50 piasL = h ( fo + Ʃfi + f20 ) / 2 =

Page 4: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

f(x) = Sin(xi^2 + 16)h = (2-0)/ 100 = 0.02

i xi xi^2 +16 (radian) xi^2 +16 (sudut)-0.28790332 0 0 16 916.7324722093-0.57887041 1 0.02 16.0004 916.7553905211

-0.5880528 2 0.04 16.0016 916.8241454565-0.60332657 3 0.06 16.0036 916.9387370156-0.62464477 4 0.08 16.0064 917.0991651982-0.65193838 5 0.1 16.01 917.3054300044-0.68511308 6 0.12 16.0144 917.5575314343-0.72404515 7 0.14 16.0196 917.8554694878-0.76857647 8 0.16 16.0256 918.1992441649-0.76857647 8 0.16 16.0256 918.1992441649-0.81850878 9 0.18 16.0324 918.5888554655

-0.8735972 10 0.2 16.04 919.02430338984-0.93354313 11 0.22 16.0484 919.50558793775-0.99798661 12 0.24 16.0576 920.0327091093-1.06649831 13 0.26 16.0676 920.6056669044-1.13857135 14 0.28 16.0784 921.2244613231-1.21361312 15 0.3 16.09 921.8890923655-1.29093733 16 0.32 16.1024 922.5995600315

-1.3697567 17 0.34 16.1156 923.35586432103-1.44917646 18 0.36 16.1296 924.1580052342-1.52818928 19 0.38 16.1444 925.005982771-1.60567181 20 0.4 16.16 925.89979693141-1.68038351 21 0.42 16.1764 926.8394477154-1.75096826 22 0.44 16.1936 927.82493512305-1.81595915 23 0.46 16.2116 928.8562591543

-1.8737873 24 0.48 16.2304 929.9334198091-1.92279498 25 0.5 16.25 931.0564170876-1.96125385 26 0.52 16.2704 932.2252509897

-1.9873886 27 0.54 16.2916 933.4399215153-1.99940664 28 0.56 16.3136 934.70042866462-1.99553402 29 0.58 16.3364 936.0067724375-1.97405781 30 0.6 16.36 937.358952834-1.93337488 31 0.62 16.3844 938.7569698541-1.87204688 32 0.64 16.4096 940.2008234979-1.78886083 33 0.66 16.4356 941.6905137652-1.68289434 34 0.68 16.4624 943.2260406562-1.55358433 35 0.7 16.49 944.8074041707-1.40079737 36 0.72 16.5184 946.4346043089-1.22489964 37 0.74 16.5476 948.1076410707-1.02682367 38 0.76 16.5776 949.8265144561-0.80812905 39 0.78 16.6084 951.5912244651

fo +Ʃfi + f20

Page 5: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

-0.57105332 40 0.8 16.64 953.40177109769-0.31854938 41 0.82 16.6724 955.2581543539-0.05430517 42 0.84 16.7056 957.16037423370.217258585 43 0.86 16.7396 959.10843073720.491016741 44 0.88 16.7744 961.1023238642

0.76119822 45 0.9 16.81 963.14205361491.021477899 46 0.92 16.8464 965.22761998919

1.26510451 47 0.94 16.8836 967.35902298711.48506591 48 0.96 16.9216 969.5362626086

1.674291593 49 0.98 16.9604 971.75933885370.912945251 50 1 17 974.0282517224-45.9355917 51 1.02 17.0404 976.3430012147

52 1.04 17.0816 978.703587330753 1.06 17.1236 981.1100100702

-0.91871183 54 1.08 17.1664 983.562269433455 1.1 17.21 986.060365420156 1.12 17.2544 988.604298030557 1.14 17.2996 991.194067264558 1.16 17.3456 993.829673122159 1.18 17.3924 996.511115603360 1.2 17.44 999.238394708261 1.22 17.4884 1002.01151043762 1.24 17.5376 1004.83046278963 1.26 17.5876 1007.69525176464 1.28 17.6384 1010.60587736465 1.3 17.69 1013.56233958666 1.32 17.7424 1016.56463843367 1.34 17.7956 1019.61277390368 1.36 17.8496 1022.70674599769 1.38 17.9044 1025.84655471470 1.4 17.96 1029.03220005571 1.42 18.0164 1032.263682019572 1.44 18.0736 1035.54100060873 1.46 18.1316 1038.864155819474 1.48 18.1904 1042.23314765575 1.5 18.25 1045.64797611476 1.52 18.3104 1049.10864119677 1.54 18.3716 1052.61514290378 1.56 18.4336 1056.16748123279 1.58 18.4964 1059.76565618680 1.6 18.56 1063.40966776381 1.62 18.6244 1067.09951596382 1.64 18.6896 1070.835200787783 1.66 18.7556 1074.61672223684 1.68 18.8224 1078.44408030785 1.7 18.89 1082.31727500286 1.72 18.9584 1086.23630632187 1.74 19.0276 1090.201174263

Page 6: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

88 1.76 19.0976 1094.21187882989 1.78 19.1684 1098.26842001990 1.8 19.24 1102.370797831791 1.82 19.3124 1106.51901226892 1.84 19.3856 1110.71306332993 1.86 19.4596 1114.95295101394 1.88 19.5344 1119.2386753295 1.9 19.61 1123.57023625296 1.92 19.6864 1127.94763380697 1.94 19.7636 1132.37086798598 1.96 19.8416 1136.83993878799 1.98 19.9204 1141.354846212

100 2 20 1145.915590262 fo +Ʃfi + f20 =

Jadi Luas Menurut Integrasi Aproksimasi Kaidah Segiempat adalah untuk 100 piasL = h ( fo + Ʃfi + f20 ) / 2 =

Page 7: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

h = (2-0)/200 = 0.01f(x)= Sin(xi^2 +16) i xi xi^2 +16 (radian)-0.28790331666507 -0.287903317 0 0 16-0.28828635741471 -0.5765727148 1 0.01 16.0001-0.28943520266365 -0.5788704053 2 0.02 16.0004

-0.291349017736 -0.5826980355 3 0.03 16.0009-0.29402639925864 -0.5880527985 4 0.04 16.0016-0.29746535681331 -0.5949307136 5 0.05 16.0025-0.30166328729394 -0.6033265746 6 0.06 16.0036-0.30661694201516 -0.613233884 7 0.07 16.0049-0.31232238663241 -0.6246447733 8 0.08 16.0064-0.31232238663241 -0.6246447733 8 0.08 16.0064-0.31877495395055 -0.6375499079 9 0.09 16.0081-0.32596918971543 -0.6519383794 10 0.1 16.01-0.33389879150261 -0.667797583 11 0.11 16.0121-0.34255654083923 -0.6851130817 12 0.12 16.0144

-0.3519342287193 -0.7038684574 13 0.13 16.0169-0.36202257469956 -0.7240451494 14 0.14 16.0196-0.37281113979298 -0.7456222796 15 0.15 16.0225-0.38428823340983 -0.7685764668 16 0.16 16.0256-0.39644081463295 -0.7928816293 17 0.17 16.0289-0.40925438815342 -0.8185087763 18 0.18 16.0324-0.42271289523691 -0.8454257905 19 0.19 16.0361-0.43679860013834 -0.8735972003 20 0.2 16.04-0.45149197243435 -0.9029839449 21 0.21 16.0441-0.46677156579856 -0.9335431316 22 0.22 16.0484-0.48261389380491 -0.9652277876 23 0.23 16.0529-0.49899330340799 -0.9979866068 24 0.24 16.0576-0.51588184681811 -1.0317636936 25 0.25 16.0625-0.53324915256065 -1.0664983051 26 0.26 16.0676-0.55106229658587 -1.1021245932 27 0.27 16.0729-0.56928567437517 -1.1385713488 28 0.28 16.0784-0.58788087507333 -1.1757617501 29 0.29 16.0841-0.60680655876272 -1.2136131175 30 0.3 16.09-0.62601833808487 -1.2520366762 31 0.31 16.0961-0.64546866550613 -1.290937331 32 0.32 16.1024-0.66510672761711 -1.3302134552 33 0.33 16.1089-0.68487834794969 -1.3697566959 34 0.34 16.1156-0.70472589988914 -1.4094517998 35 0.35 16.1225-0.72458823135196 -1.4491764627 36 0.36 16.1296-0.74440060299154 -1.488801206 37 0.37 16.1369

-0.7640946417816 -1.5281892836 38 0.38 16.1444-0.78359831191136 -1.5671966238 39 0.39 16.1521

fo +Ʃfi + f20

Page 8: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

-0.80283590500447 -1.60567181 40 0.4 16.16-0.82172805174466 -1.6434561035 41 0.41 16.1681-0.84019175705273 -1.6803835141 42 0.42 16.1764-0.85814046101106 -1.716280922 43 0.43 16.1849-0.87548412776998 -1.7509682555 44 0.44 16.1936-0.89212936469438 -1.7842587294 45 0.45 16.2025-0.90797957401599 -1.815959148 46 0.46 16.2116-0.92293513924447 -1.8458702785 47 0.47 16.2209-0.93689364855687 -1.8737872971 48 0.48 16.2304-0.94975015732799 -1.8995003147 49 0.49 16.2401-0.96139749187956 -1.9227949838 50 0.5 16.25-0.97172659641427 -1.9434531928 51 0.51 16.2601-0.98062692495597 -1.9612538499 52 0.52 16.2704-0.98798687993938 -1.9759737599 53 0.53 16.2809

-0.9936942988783 -1.9873885978 54 0.54 16.2916-0.99763699028802 -1.9952739806 55 0.55 16.3025-0.99970331974298 -1.9994066395 56 0.56 16.3136

-0.9997828466141 -1.9995656932 57 0.57 16.3249-0.9977670116473 -1.9955340233 58 0.58 16.3364

-0.99354987511664 -1.9870997502 59 0.59 16.3481-0.987028904809 -1.9740578096 60 0.6 16.36

-0.97810581257303 -1.9562116251 61 0.61 16.3721-0.96668743759154 -1.9333748752 62 0.62 16.3844-0.95268667391548 -1.9053733478 63 0.63 16.3969-0.93602343912824 -1.8720468783 64 0.64 16.4096-0.91662568029448 -1.8332513606 65 0.65 16.4225-0.89443041258926 -1.7888608252 66 0.66 16.4356-0.86938478520465 -1.7387695704 67 0.67 16.4489-0.84144716829621 -1.6828943366 68 0.68 16.4624-0.81058825386625 -1.6211765077 69 0.69 16.4761-0.77679216259028 -1.5535843252 70 0.7 16.49-0.74005754768523 -1.4801150954 71 0.71 16.5041-0.70039868600144 -1.400797372 72 0.72 16.5184-0.65784654560491 -1.3156930912 73 0.73 16.5329-0.61244981821227 -1.2248996364 74 0.74 16.5476-0.56427590396186 -1.1285518079 75 0.75 16.5625

-0.5134118351623 -1.0268236703 76 0.76 16.5776-0.45996512487155 -0.9199302497 77 0.77 16.5929-0.40406452543899 -0.8081290509 78 0.78 16.6084-0.34586068150935 -0.691721363 79 0.79 16.6241-0.28552666145739 -0.5710533229 80 0.8 16.64-0.22325835081624 -0.4465167016 81 0.81 16.6561-0.15927469099994 -0.318549382 82 0.82 16.6724-0.09381774652202 -0.187635493 83 0.83 16.6889-0.02715258399959 -0.054305168 84 0.84 16.70560.04043305347483 0.0808661069 85 0.85 16.72250.10862929249044 0.217258585 86 0.86 16.73960.17710491113302 0.3542098223 87 0.87 16.7569

Page 9: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

0.24550837055032 0.4910167411 88 0.88 16.77440.3134691090406 0.6269382181 89 0.89 16.79210.3805991098141 0.7611982196 90 0.9 16.81

0.44649475163966 0.8929895033 91 0.91 16.82810.51073894932343 1.0214778986 92 0.92 16.84640.57290358836734 1.1458071767 93 0.93 16.86490.63255225521679 1.2651045104 94 0.94 16.88360.68924326123067 1.3784865225 95 0.95 16.90250.74253295489876 1.4850659098 96 0.96 16.92160.79197931290218 1.5839586258 97 0.97 16.94090.83714579638042 1.6742915928 98 0.98 16.96040.87760545425818 1.7552109085 99 0.99 16.98010.91294525072763 0.912945251 100 1 17

fo +Ʃfi + f20 = -90.975014622 101 1.01 17.0201102 1.02 17.0404

Jadi Luas Menurut Integrasi Aproksimasi Kaidah Segiempat adalah untuk 100 pias 103 1.03 17.0609L = h ( fo + Ʃfi + f20 ) / 2 = -0.9097501462 104 1.04 17.0816

105 1.05 17.1025106 1.06 17.1236107 1.07 17.1449108 1.08 17.1664109 1.09 17.1881110 1.1 17.21111 1.11 17.2321112 1.12 17.2544113 1.13 17.2769114 1.14 17.2996115 1.15 17.3225116 1.16 17.3456117 1.17 17.3689118 1.18 17.3924119 1.19 17.4161120 1.2 17.44121 1.21 17.4641122 1.22 17.4884123 1.23 17.5129124 1.24 17.5376125 1.25 17.5625126 1.26 17.5876127 1.27 17.6129128 1.28 17.6384129 1.29 17.6641130 1.3 17.69131 1.31 17.7161132 1.32 17.7424133 1.33 17.7689134 1.34 17.7956135 1.35 17.8225

Page 10: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

136 1.36 17.8496137 1.37 17.8769138 1.38 17.9044139 1.39 17.9321140 1.4 17.96141 1.41 17.9881142 1.42 18.0164143 1.43 18.0449144 1.44 18.0736145 1.45 18.1025146 1.46 18.1316147 1.47 18.1609148 1.48 18.1904149 1.49 18.2201150 1.5 18.25151 1.51 18.2801152 1.52 18.3104153 1.53 18.3409154 1.54 18.3716155 1.55 18.4025156 1.56 18.4336157 1.57 18.4649158 1.58 18.4964159 1.59 18.5281160 1.6 18.56161 1.61 18.5921162 1.62 18.6244163 1.63 18.6569164 1.64 18.6896165 1.65 18.7225166 1.66 18.7556167 1.67 18.7889168 1.68 18.8224169 1.69 18.8561170 1.7 18.89171 1.71 18.9241172 1.72 18.9584173 1.73 18.9929174 1.74 19.0276175 1.75 19.0625176 1.76 19.0976177 1.77 19.1329178 1.78 19.1684179 1.79 19.2041180 1.8 19.24181 1.81 19.2761182 1.82 19.3124183 1.83 19.3489

Page 11: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

184 1.84 19.3856185 1.85 19.4225186 1.86 19.4596187 1.87 19.4969188 1.88 19.5344189 1.89 19.5721190 1.9 19.61191 1.91 19.6481192 1.92 19.6864193 1.93 19.7249194 1.94 19.7636195 1.95 19.8025196 1.96 19.8416197 1.97 19.8809198 1.98 19.9204199 1.99 19.9601200 2 20

fo +Ʃfi + f20 =

Jadi Luas Menurut Integrasi Aproksimasi Kaidah Segiempat adalah untuk 100 pias

Page 12: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

h = (2-0)/200 = 0.01xi^2 +16 (sudut) f(x)= Sin(xi^2 +16)

916.7324722093 -0.28790331666507 -0.287903317916.7382017873 -0.28799908117342 -0.5759981623916.7553905211 -0.28828635741471 -0.5765727148916.7840384109 -0.28876509348017 -0.577530187916.8241454565 -0.28943520266365 -0.5788704053916.8757116581 -0.29029656317457 -0.5805931263916.9387370156 -0.291349017736 -0.5826980355917.0132215289 -0.29259237306832 -0.5851847461917.0991651982 -0.29402639925864 -0.5880527985917.0991651982 -0.29402639925864 -0.5880527985917.1965680234 -0.29565082901605 -0.591301658917.3054300044 -0.29746535681331 -0.5949307136917.4257511414 -0.2994696379152 -0.5989392758917.5575314343 -0.30166328729394 -0.6033265746917.7007708831 -0.30404587843237 -0.6080917569917.8554694878 -0.30661694201516 -0.613233884918.0216272484 -0.30937596450905 -0.618751929918.1992441649 -0.31232238663241 -0.6246447733918.3883202372 -0.31545560171531 -0.6309112034918.5888554655 -0.31877495395055 -0.6375499079

918.80084984974 -0.32227973653692 -0.6445594731919.02430338984 -0.32596918971543 -0.6519383794

919.2592160858 -0.32984249869987 -0.6596849974919.50558793775 -0.33389879150261 -0.667797583

919.7634189456 -0.33813713665725 -0.6762742733920.0327091093 -0.34255654083923 -0.6851130817920.3134584289 -0.34715594638616 -0.6943118928920.6056669044 -0.3519342287193 -0.7038684574920.9093345358 -0.3568901936681 -0.7137803873921.2244613231 -0.36202257469956 -0.7240451494921.5510472664 -0.36733003005453 -0.7346600601921.8890923655 -0.37281113979298 -0.7456222796922.2385966205 -0.37846440275071 -0.7569288055922.5995600315 -0.38428823340983 -0.7685764668922.9719825983 -0.39028095868566 -0.7805619174

923.35586432103 -0.39644081463295 -0.7928816293923.75120519967 -0.40276594307418 -0.8055318861

924.1580052342 -0.40925438815342 -0.8185087763924.5762644247 -0.41590409281871 -0.8318081856

925.005982771 -0.42271289523691 -0.8454257905925.4471602733 -0.42967852514447 -0.8593570503

fo +Ʃfi + f20

Page 13: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

925.89979693141 -0.43679860013834 -0.8735972003926.3638927455 -0.44407062191101 -0.8881412438926.8394477154 -0.45149197243435 -0.9029839449927.3264618413 -0.45905991009674 -0.9181198202

927.82493512305 -0.46677156579856 -0.9335431316928.3348675607 -0.47462393901119 -0.949247878928.8562591543 -0.48261389380491 -0.9652277876929.3891099038 -0.49073815485157 -0.9814763097929.9334198091 -0.49899330340799 -0.9979866068930.4891888704 -0.50737577328632 -1.0147515466931.0564170876 -0.51588184681811 -1.0317636936

931.63510446067 -0.52450765081891 -1.0490153016932.2252509897 -0.53324915256065 -1.0664983051932.8268566745 -0.54210215575931 -1.0842043115933.4399215153 -0.55106229658587 -1.1021245932

934.064445512 -0.56012503970856 -1.1202500794934.70042866462 -0.56928567437517 -1.1385713488

935.3478709731 -0.57853931054405 -1.1570786211936.0067724375 -0.58788087507333 -1.1757617501936.6771330578 -0.59730510797767 -1.194610216

937.358952834 -0.60680655876272 -1.2136131175938.0522317661 -0.6163795828474 -1.2327591657938.7569698541 -0.62601833808487 -1.2520366762939.4731670981 -0.63571678139303 -1.2714335628940.2008234979 -0.64546866550613 -1.290937331940.9399390536 -0.65526753585913 -1.3105350717941.6905137652 -0.66510672761711 -1.3302134552

942.45254763274 -0.67497936286197 -1.3499587257943.2260406562 -0.68487834794969 -1.3697566959944.0109928355 -0.69479637105097 -1.3895927421944.8074041707 -0.70472589988914 -1.4094517998945.6152746619 -0.71465917968915 -1.4293183594946.4346043089 -0.72458823135196 -1.4491764627947.2653931118 -0.734504849869 -1.4690096997948.1076410707 -0.74440060299154 -1.488801206948.9613481854 -0.75426683017044 -1.5085336603949.8265144561 -0.7640946417816 -1.5281892836950.7031398826 -0.77387491865332 -1.5477498373951.5912244651 -0.78359831191136 -1.5671966238952.4907682034 -0.7932552431584 -1.5865104863

953.40177109769 -0.80283590500447 -1.60567181954.32423314785 -0.81233026196513 -1.6246605239

955.2581543539 -0.82172805174466 -1.6434561035956.20353471588 -0.8310187869214 -1.6620375738

957.1603742337 -0.84019175705273 -1.6803835141958.1286729075 -0.84923603121712 -1.6984720624959.1084307372 -0.85814046101106 -1.716280922960.0996477228 -0.86689368401842 -1.733787368

Page 14: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

961.1023238642 -0.87548412776998 -1.7509682555962.11645916163 -0.88390001421102 -1.7678000284

963.1420536149 -0.89212936469438 -1.7842587294964.1791072241 -0.90016000551681 -1.800320011

965.22761998919 -0.90797957401599 -1.815959148966.2875919102 -0.91557552524543 -1.8311510505967.3590229871 -0.92293513924447 -1.8458702785968.4419132199 -0.93004552892006 -1.8600910578969.5362626086 -0.93689364855687 -1.8737872971970.6420711532 -0.94346630297171 -1.8869326059971.7593388537 -0.94975015732799 -1.8995003147972.8880657101 -0.95573174762545 -1.9114634953974.0282517224 -0.96139749187956 -1.9227949838975.1798968906 -0.96673370200467 -1.933467404976.3430012147 -0.97172659641427 -1.9434531928977.5175646947 -0.97636231335068 -1.9527246267978.7035873307 -0.98062692495597 -1.9612538499

979.90106912249 -0.98450645209487 -1.9690129042981.1100100702 -0.98798687993938 -1.9759737599982.3304101738 -0.99105417432389 -1.9821083486983.5622694334 -0.9936942988783 -1.9873885978

984.80558784881 -0.99589323294546 -1.9917864659986.0603654201 -0.99763699028802 -1.9952739806987.3266021474 -0.99891163858825 -1.9978232772988.6042980305 -0.99970331974298 -1.9994066395989.8934530696 -0.99999827095419 -1.9999965419991.1940672645 -0.9997828466141 -1.9995656932992.5061406154 -0.99904354098189 -1.998087082993.8296731221 -0.9977670116473 -1.9955340233995.1646647848 -0.99594010377439 -1.9918802075996.5111156033 -0.99354987511664 -1.9870997502997.8690255778 -0.99058362179263 -1.9811672436999.2383947082 -0.987028904809 -1.97405780961000.619222994 -0.98287357731535 -1.96574715461002.011510437 -0.97810581257303 -1.95621162511003.415257035 -0.97271413261757 -1.94542826521004.830462789 -0.96668743759154 -1.93337487521006.257127699 -0.96001503572223 -1.92003007141007.695251764 -0.95268667391548 -1.90537334781009.144834986 -0.94469256893437 -1.88938513791010.605877364 -0.93602343912824 -1.87204687831012.078378897 -0.92667053667479 -1.85334107331013.562339586 -0.91662568029448 -1.83325136061015.057759432 -0.90588128839364 -1.81176257681016.564638433 -0.89443041258926 -1.7888608252

1018.08297659 -0.88226677156497 -1.76453354311019.612773903 -0.86938478520465 -1.73876957041021.154030372 -0.8557796089464 -1.7115592179

Page 15: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

1022.706745997 -0.84144716829621 -1.68289433661024.270920777 -0.82638419343711 -1.65276838691025.846554714 -0.81058825386625 -1.62117650771027.433647807 -0.79405779298824 -1.5881155861029.032200055 -0.77679216259028 -1.55358432521030.642211459 -0.75879165712014 -1.5175833142

1032.2636820195 -0.74005754768523 -1.48011509541033.896611736 -0.72059211568702 -1.44118423141035.541000608 -0.70039868600144 -1.4007973721037.196848636 -0.6794816596128 -1.3589633192

1038.8641558194 -0.65784654560491 -1.31569309121040.542922159 -0.63549999240996 -1.27099998481042.233147655 -0.61244981821227 -1.22489963641043.934832306 -0.58870504040088 -1.17741008081045.647976114 -0.56427590396186 -1.1285518079

1047.3725790771 -0.53917390869818 -1.07834781741049.108641196 -0.5134118351623 -1.02682367031050.856162471 -0.48700376918372 -0.97400753841052.615142903 -0.45996512487155 -0.9199302497

1054.3855824895 -0.43231266596949 -0.86462533191056.167481232 -0.40406452543899 -0.80812905091057.960839131 -0.37524022314398 -0.75048044631059.765656186 -0.34586068150935 -0.6917213631061.581932396 -0.31594823902391 -0.6318964781063.409667763 -0.28552666145739 -0.57105332291065.248862285 -0.25462115066043 -0.50924230131067.099515963 -0.22325835081624 -0.44651670161068.961628798 -0.19146635201215 -0.382932704

1070.8352007877 -0.15927469099994 -0.3185493821072.720231934 -0.12671434901464 -0.2534286981074.616722236 -0.09381774652202 -0.1876354931076.524671693 -0.06061873476739 -0.12123746951078.444080307 -0.02715258399959 -0.0543051681080.374948077 0.00654403175302 0.01308806351082.317275002 0.04043305347483 0.08086610691084.271061084 0.07447505964049 0.14895011931086.236306321 0.10862929249044 0.2172585851088.213010714 0.14285368821252 0.28570737641090.201174263 0.17710491113302 0.35420982231092.200796968 0.21133839201434 0.4226767841094.211878829 0.24550837055032 0.49101674111096.234419846 0.2795679421435 0.55913588431098.268420019 0.3134691090406 0.62693821811100.313879347 0.34716283589476 0.6943256718

1102.3707978317 0.3805991098141 0.76119821961104.439175472 0.41372700494633 0.82745400991106.519012268 0.44649475163966 0.89298950331108.610308221 0.47884981020874 0.9576996204

Page 16: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

1110.713063329 0.51073894932343 1.02147789861112.827277593 0.54210832902569 1.08421665811114.952951013 0.57290358836734 1.14580717671117.090083589 0.60306993764779 1.2061398753

1119.23867532 0.63255225521679 1.26510451041121.398726208 0.66129518879263 1.32259037761123.570236252 0.68924326123067 1.37848652251125.753205451 0.71634098066112 1.43268196131127.947633806 0.74253295489876 1.4850659098

1130.1535213176 0.76776401000956 1.535528021132.370867985 0.79197931290218 1.58395862581134.599673808 0.81512449779368 1.63024899561136.839938787 0.83714579638042 1.67429159281139.091662922 0.85799017152592 1.71598034311141.354846212 0.87760545425818 1.75521090851143.629488659 0.89594048384894 1.79188096771145.915590262 0.91294525072763 0.912945251

fo +Ʃfi + f20 = -181.29695614

Jadi Luas Menurut Integrasi Aproksimasi Kaidah Segiempat adalah untuk 100 piasL = h ( fo + Ʃfi + f20 ) / 2 = -0.9064847807

Page 17: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

i xi=xo+i.h x^2+2*x+3 radian exp(x^2+2*x+3) x^2+2*x+3 sudut0 0 3 20.085536923188 171.8873385392471 0.005 3.010025 20.287907116579 172.4617287288662 0.01 3.0201 20.493340915821 173.038983707463 0.015 3.030225 20.70188999066 173.619103475034 0.02 3.0404 20.913607005029 174.2020880315765 0.025 3.050625 21.128545637755 174.7879373770976 0.03 3.0609 21.346760603725 175.3766515115947 0.035 3.071225 21.56830767554 175.9682304350668 0.04 3.0816 21.793243705646 176.5626741475149 0.045 3.092025 22.021626648973 177.159982648938

10 0.05 3.1025 22.253515586086 177.76015593933811 0.055 3.113025 22.48897074686 178.36319401871312 0.06 3.1236 22.728053534688 178.96909688706413 0.065 3.134225 22.970826551249 179.5778645443914 0.07 3.1449 23.217353621832 180.18949699069315 0.075 3.155625 23.467699821239 180.8039942259716 0.08 3.1664 23.721931500284 181.42135625022417 0.085 3.177225 23.980116312889 182.04158306345318 0.09 3.1881 24.242323243812 182.66467466565819 0.095 3.199025 24.508622636997 183.29063105683820 0.1 3.21 24.779086224588 183.91945223699421 0.105 3.221025 25.053787156601 184.55113820612622 0.11 3.2321 25.332800031285 185.18568896423323 0.115 3.243225 25.616200926176 185.82310451131624 0.12 3.2544 25.904067429876 186.46338484737525 0.125 3.265625 26.196478674561 187.10652997240926 0.13 3.2769 26.493515369241 187.75253988641927 0.135 3.288225 26.7952598338 188.40141458940528 0.14 3.2996 27.101796033812 189.05315408136629 0.145 3.311025 27.413209616177 189.70775836230330 0.15 3.3225 27.729587945586 190.36522743221631 0.155 3.334025 28.051020141828 191.02556129110432 0.16 3.3456 28.377597117978 191.68875993896833 0.165 3.357225 28.709411619472 192.35482337580834 0.17 3.3689 29.046558264094 193.02375160162335 0.175 3.380625 29.389133582909 193.69554461641436 0.18 3.3924 29.737236062152 194.3702024201837 0.185 3.404225 30.090966186095 195.04772501292338 0.19 3.4161 30.450426480939 195.72811239464139 0.195 3.428025 30.815721559724 196.41136456533440 0.2 3.44 31.186958168309 197.09748152500341 0.205 3.452025 31.564245232439 197.78646327364842 0.21 3.4641 31.947693905917 198.47830981126843 0.215 3.476225 32.337417619931 199.17302113786544 0.22 3.4884 32.733532133542 199.870597253436

Page 18: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

45 0.225 3.500625 33.136155585376 200.57103815798446 0.23 3.5129 33.545408546545 201.27434385150747 0.235 3.525225 33.961414074831 201.98051433400648 0.24 3.5376 34.384297770162 202.6895496054849 0.245 3.550025 34.814187831418 203.4014496659350 0.25 3.5625 35.251215114589 204.11621451535651 0.255 3.575025 35.695513192331 204.83384415375752 0.26 3.5876 36.147218414958 205.55433858113453 0.265 3.600225 36.60646997289 206.27769779748754 0.27 3.6129 37.073409960607 207.00392180281555 0.275 3.625625 37.54818344215 207.73301059711956 0.28 3.6384 38.030938518196 208.46496418039957 0.285 3.651225 38.521826394756 209.19978255265458 0.29 3.6641 39.021001453543 209.93746571388559 0.295 3.677025 39.528621324034 210.67801366409260 0.3 3.69 40.044846957287 211.42142640327461 0.305 3.703025 40.569842701556 212.16770393143262 0.31 3.7161 41.103776379741 212.91684624856563 0.315 3.729225 41.646819368726 213.66885335467464 0.32 3.7424 42.199146680657 214.42372524975965 0.325 3.755625 42.7609370462 215.1814619338266 0.33 3.7689 43.332372999851 215.94206340685667 0.335 3.782225 43.913640967316 216.70552966886868 0.34 3.7956 44.504931355056 217.47186071985569 0.345 3.809025 45.106438642019 218.24105655981870 0.35 3.8225 45.718361473637 219.01311718875771 0.355 3.836025 46.340902758137 219.78804260667272 0.36 3.8496 46.97426976523 220.56583281356273 0.365 3.863225 47.618674227239 221.34648780942774 0.37 3.8769 48.274332442729 222.13000759426975 0.375 3.890625 48.941465382707 222.91639216808676 0.38 3.9044 49.620298799457 223.70564153087977 0.385 3.918225 50.31106333808 224.49775568264778 0.39 3.9321 51.013994650809 225.29273462339179 0.395 3.946025 51.729333514176 226.09057835311180 0.4 3.96 52.457325949099 226.89128687180681 0.405 3.974025 53.198223343975 227.69486017947782 0.41 3.9881 53.952282580847 228.50129827612483 0.415 4.002225 54.719766164741 229.31060116174684 0.42 4.0164 55.500942356243 230.12276883634485 0.425 4.030625 56.296085307406 230.93780129991786 0.43 4.0449 57.105475201088 231.75569855246787 0.435 4.059225 57.929398393787 232.57646059399288 0.44 4.0736 58.76814756209 233.40008742449289 0.445 4.088025 59.622021852822 234.22657904396890 0.45 4.1025 60.491327036989 235.0559354524291 0.455 4.117025 61.376375667628 235.88815664984892 0.46 4.1316 62.277487241662 236.723242636251

Page 19: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

93 0.465 4.146225 63.194988365859 237.5611934116394 0.47 4.1609 64.12921292703 238.40200897598495 0.475 4.175625 65.080502266546 239.24568932931496 0.48 4.1904 66.049205359322 240.0922344716297 0.485 4.205225 67.035678997366 240.94164440290298 0.49 4.2201 68.040287978027 241.79391912315999 0.495 4.235025 69.063405297068 242.649058632391

100 0.5 4.25 70.105412346688 243.5070629306101 0.505 4.265025 71.166699118634 244.367932017784102 0.51 4.2801 72.24766441254 245.231665893944103 0.515 4.295225 73.348716049635 246.098264559079104 0.52 4.3104 74.470271091955 246.96772801319105 0.525 4.325625 75.612756067228 247.840056256277106 0.53 4.3409 76.776607199576 248.715249288339107 0.535 4.356225 77.962270646182 249.593307109377108 0.54 4.3716 79.170202740114 250.474229719391109 0.545 4.387025 80.400870239442 251.35801711838110 0.55 4.4025 81.654750582839 252.244669306345111 0.555 4.418025 82.932332151846 253.134186283286112 0.56 4.4336 84.234114539966 254.026568049202113 0.565 4.449225 85.560608828799 254.921814604094114 0.57 4.4649 86.912337871389 255.819925947961115 0.575 4.480625 88.289836582999 256.720902080805116 0.58 4.4964 89.693652239507 257.624743002623117 0.585 4.512225 91.124344783642 258.531448713418118 0.59 4.5281 92.58248713927 259.441019213188119 0.595 4.544025 94.068665533964 260.353454501934120 0.6 4.56 95.583479830066 261.268754579655121 0.605 4.576025 97.12754386451 262.186919446353122 0.61 4.5921 98.701485797611 263.107949102025123 0.615 4.608225 100.30594847111 264.031843546674124 0.62 4.6244 101.94158977568 264.958602780298125 0.625 4.640625 103.60908302824 265.888226802898126 0.63 4.6569 105.30911735925 266.820715614473127 0.635 4.673225 107.04239811036 267.756069215024128 0.64 4.6896 108.80964724259 268.694287604551129 0.645 4.706025 110.61160375551 269.635370783053130 0.65 4.7225 112.44902411756 270.579318750531131 0.655 4.739025 114.32268270785 271.526131506985132 0.66 4.7556 116.23337226994 272.475809052414133 0.665 4.772225 118.18190437761 273.428351386819134 0.67 4.7889 120.16910991333 274.3837585102135 0.675 4.805625 122.1958395595 275.342030422556136 0.68 4.8224 124.26296430294 276.303167123888137 0.685 4.839225 126.37137595304 277.267168614196138 0.69 4.8561 128.52198767386 278.234034893479139 0.695 4.873025 130.71573453067 279.203765961738140 0.7 4.89 132.95357405128 280.176361818973

Page 20: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

141 0.705 4.907025 135.23648680259 281.151822465183142 0.71 4.9241 137.56547698284 282.130147900369143 0.715 4.941225 139.94157302991 283.11133812453144 0.72 4.9584 142.36582824631 284.095393137667145 0.725 4.975625 144.83932144104 285.08231293978146 0.73 4.9929 147.3631575892 286.072097530869147 0.735 5.010225 149.93846850943 287.064746910933148 0.74 5.0276 152.56641356008 288.060261079973149 0.745 5.045025 155.24818035435 289.058640037988150 0.75 5.0625 157.98498549519 290.059883784979151 0.755 5.080025 160.77807533025 291.063992320946152 0.76 5.0976 163.6287267278 292.070965645888153 0.765 5.115225 166.53824787391 293.080803759807154 0.77 5.1329 169.50797909172 294.0935066627155 0.775 5.150625 172.53929368335 295.10907435457156 0.78 5.1684 175.63359879504 296.127506835415157 0.785 5.186225 178.79233630644 297.148804105235158 0.79 5.2041 182.01698374441 298.172966164032159 0.795 5.222025 185.30905522237 299.199993011804160 0.8 5.24 188.67010240567 300.229884648551161 0.805 5.258025 192.10171550398 301.262641074275162 0.81 5.2761 195.60552429131 302.298262288974163 0.815 5.294225 199.18319915457 303.336748292648164 0.82 5.3124 202.83645217143 304.378099085299165 0.825 5.330625 206.56703821847 305.422314666925166 0.83 5.3489 210.37675611033 306.469395037526167 0.835 5.367225 214.26744977093 307.519340197103168 0.84 5.3856 218.24100943761 308.572150145656169 0.845 5.404025 222.29937289922 309.627824883185170 0.85 5.4225 226.44452676914 310.686364409689171 0.855 5.441025 230.67850779422 311.747768725169172 0.86 5.4596 235.00340420078 312.812037829624173 0.865 5.478225 239.42135707873 313.879171723055174 0.87 5.4969 243.93456180494 314.949170405462175 0.875 5.515625 248.54526950703 316.022033876845176 0.88 5.5344 253.25578856879 317.097762137203177 0.885 5.553225 258.06848617845 318.176355186537178 0.89 5.5721 262.98578992115 319.257813024846179 0.895 5.591025 268.01018941679 320.342135652131180 0.9 5.61 273.14423800476 321.429323068392181 0.905 5.629025 278.3905544769 322.519375273628182 0.91 5.6481 283.75182486011 323.61229226784183 0.915 5.667225 289.23080425014 324.708074051028184 0.92 5.6864 294.83031869804 325.806720623191185 0.925 5.705625 300.55326715099 326.90823198433186 0.93 5.7249 306.40262344896 328.012608134445187 0.935 5.744225 312.38143837902 329.119849073535188 0.94 5.7636 318.49284178905 330.229954801601

Page 21: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

189 0.945 5.783025 324.7400447625 331.342925318643190 0.95 5.8025 331.12634185624 332.45876062466191 0.955 5.822025 337.65511340328 333.577460719653192 0.96 5.8416 344.32982788237 334.699025603622193 0.965 5.861225 351.15404435653 335.823455276566194 0.97 5.8809 358.13141498262 336.950749738486195 0.975 5.900625 365.26568759398 338.080908989381196 0.98 5.9204 372.56070835864 339.213933029253197 0.985 5.940225 380.02042451511 340.349821858099198 0.99 5.9601 387.64888718832 341.488575475922199 0.995 5.980025 395.4502542881 342.63019388272200 1 6 403.42879349274 343.774677078494

Page 22: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

exp(x^2+2*x+3)-sin(x^2+2*x+2) i xi=xo+i.h19.9444169151278 19.94441692 0 020.1567187083241 40.3134374166482 1 0.00520.3721469230686 40.7442938461371 2 0.0120.5907524052901 41.1815048105802 3 0.01520.8125869643768 41.6251739287537 4 0.0221.0377033935488 42.0754067870976 5 0.02521.2661554907014 42.5323109814028 6 0.0321.4979980797317 42.9959961594633 7 0.03521.7332870323585 43.4665740647171 8 0.0421.9720792904496 43.9441585808993 9 0.04522.2144328888663 44.4288657777326 10 0.05

22.46040697884 44.9208139576799 11 0.05522.7100618518926 45.4201237037853 12 0.0622.9634589643144 45.9269179286288 13 0.06523.2206609622121 46.4413219244243 14 0.0723.4817317071431 46.9634634142861 15 0.075

23.746736302347 47.493472604694 16 0.0824.0157411195929 48.0314822391857 17 0.08524.2888138266538 48.5776276533075 18 0.0924.5660234154261 49.1320468308522 19 0.09524.8474402307087 49.6948804614175 20 0.125.1331359996585 50.266271999317 21 0.105

25.423183861938 50.8463677238759 22 0.1125.7176584005734 51.4353168011469 23 0.115

26.01663567354 52.0332713470799 24 0.1226.3201932460914 52.6403864921827 25 0.125

26.628410223854 53.256820447708 26 0.1326.9413672867025 53.8827345734051 27 0.13527.2591467234377 54.5182934468755 28 0.1427.5818324672852 55.1636649345705 29 0.14527.9095101322364 55.8190202644729 30 0.1528.2422670502518 56.4845341005036 31 0.15528.5801923093482 57.1603846186964 32 0.1628.9233767925921 57.8467535851843 33 0.16529.2719132180214 58.5438264360427 34 0.17

29.625896179518 59.251792359036 35 0.17529.9854221886567 59.9708443773134 36 0.1830.3505897175525 60.7011794351051 37 0.18530.7214992427328 61.4429984854656 38 0.19

31.098253290059 62.196506580118 39 0.19531.480956480725 62.9619129614501 40 0.2

31.8697155783582 63.7394311567164 41 0.20532.2646395372511 64.5292790745023 42 0.2132.6658395517523 65.3316791035046 43 0.21533.0734291068451 66.1468582136903 44 0.22

L=h(fo +2 Ʃfi + f200)/2

Page 23: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

33.4875240299446 66.9750480598892 45 0.22533.9082425439425 67.816485087885 46 0.2334.3357053215326 68.6714106430651 47 0.23534.7700355408478 69.5400710816955 48 0.24

35.211358942443 70.4227178848859 49 0.24535.6598038876566 71.3196077753133 50 0.2536.1155014183867 72.2310028367734 51 0.25536.5785853183162 73.1571706366325 52 0.2637.0491921756256 74.0983843512513 53 0.26537.5274614472292 75.0549228944584 54 0.2738.0135355245745 76.0270710491489 55 0.27538.5075598010442 77.0151196020884 56 0.2839.0096827410021 78.0193654820043 57 0.28539.5200559505234 79.0401119010468 58 0.2940.0388342498538 80.0776684997077 59 0.29540.5661757476411 81.1323514952823 60 0.341.1022419169839 82.2044838339679 61 0.30541.6471976733451 83.2943953466901 62 0.3142.2012114543766 84.4024229087532 63 0.31542.7644553017058 85.5289106034117 64 0.3243.3371049447327 86.6742098894654 65 0.325

43.91933988649 87.8386797729801 66 0.3344.51134349162 89.0226869832401 67 0.335

45.1133030765212 90.2266061530423 68 0.3445.7254100017219 91.4508200034437 69 0.34546.3478597665382 92.6957195330765 70 0.35

46.980852106075 93.9617042121499 71 0.35547.6245910906301 95.2491821812602 72 0.36

48.279285227566 96.5585704551319 73 0.36548.9451475657103 97.8902951314205 74 0.3749.6223958023531 99.2447916047062 75 0.37550.3112523929076 100.622504785815 76 0.38

51.011944663303 102.023889326606 77 0.38551.7247049251826 103.449409850365 78 0.3952.4497705939784 104.899541187957 79 0.39553.1873843099384 106.374768619877 80 0.453.9377940621846 107.875588124369 81 0.40554.7012533158794 109.402506631759 82 0.4155.4780211425839 110.956042285168 83 0.41556.2683623538898 112.53672470778 84 0.4257.0725476384141 114.145095276828 85 0.42557.8908537022419 115.781707404484 86 0.4358.7235634129102 117.44712682582 87 0.43559.5709659470269 119.141931894054 88 0.4460.4333569416183 120.866713883237 89 0.44561.3110386493077 122.622077298615 90 0.4562.2043200974229 124.408640194846 91 0.45563.1135172511403 126.227034502281 92 0.46

Page 24: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

64.0389531807702 128.07790636154 93 0.46564.9809582332956 129.961916466591 94 0.4765.9398702082769 131.879740416554 95 0.47566.9160345382388 133.832069076478 96 0.4867.9098044736607 135.819608947321 97 0.48568.9215412726915 137.843082545383 98 0.4969.9516143957183 139.903228791437 99 0.49571.0004017049164 142.000803409833 100 0.572.0682896689169 144.136579337834 101 0.50573.1556735727281 146.311347145456 102 0.5174.2629577330524 148.525915466105 103 0.51575.3905557191462 150.781111438292 104 0.5276.5388905793696 153.077781158739 105 0.52577.7083950735817 155.416790147163 106 0.5378.8995119115405 157.799023823081 107 0.53580.1126939974681 160.225387994936 108 0.5481.3484046809515 162.696809361903 109 0.54582.6071180143486 165.214236028697 110 0.5583.8893190168787 167.778638033757 111 0.55585.1955039455794 170.391007891159 112 0.5686.5261805733162 173.052361146632 113 0.56587.8818684740403 175.763736948081 114 0.5789.2630993154905 178.526198630981 115 0.575

90.670417159545 181.34083431909 116 0.5892.104378770433 184.208757540866 117 0.585

93.5655539310219 187.131107862044 118 0.5995.0545257674032 190.109051534806 119 0.59596.5718910820055 193.143782164011 120 0.698.1182606954696 196.236521390939 121 0.605

99.694259797531 199.388519595062 122 0.61101.300528307154 202.601056614307 123 0.615102.937721242178 205.875442484356 124 0.62104.606509098744 209.213018197487 125 0.625106.307578240758 212.615156481517 126 0.63108.041631299697 216.083262599393 127 0.635109.809387585011 219.618775170022 128 0.64111.611583505456 223.223167010912 129 0.645113.448973001632 226.897946003265 130 0.65115.322327990056 230.644655980112 131 0.655117.232438819088 234.464877638175 132 0.66119.180114737046 238.360229474091 133 0.665121.166184372852 242.332368745703 134 0.67123.191496229559 246.382992459118 135 0.675125.256919191126 250.513838382251 136 0.68127.363343042811 254.726686085621 137 0.685129.511679005573 259.023358011145 138 0.69131.702860284874 263.405720569749 139 0.695133.937842634295 267.87568526859 140 0.7

Page 25: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

136.217604934374 272.435209868749 141 0.705138.543149787123 277.086299574246 142 0.71

140.91550412664 281.83100825328 143 0.715143.335719846302 286.671439692604 144 0.72145.804874442994 291.609748885988 145 0.725148.324071678873 296.648143357745 146 0.73150.894442261156 301.788884522312 147 0.735153.517144540468 307.034289080936 148 0.74

156.19336522826 312.38673045652 149 0.745158.924320133863 317.848640267726 150 0.75161.711254921736 323.422509843473 151 0.755

164.55544588949 329.110891778979 152 0.76167.458200767285 334.916401534571 153 0.765170.420859539233 340.841719078465 154 0.77173.444795287412 346.889590574825 155 0.775176.531415059191 353.062830118382 156 0.78179.682160758493 359.364321516986 157 0.785182.898510061736 365.797020123472 158 0.79

186.18197735914 372.36395471828 159 0.795189.534114722151 379.068229444302 160 0.8192.956512897746 385.913025795492 161 0.805196.450802330396 392.901604660793 162 0.81200.018654212505 400.037308425009 163 0.815203.661781564148 407.323563128297 164 0.82207.381940342988 414.763880685977 165 0.825211.180930585228 422.361861170455 166 0.83215.060597578535 430.12119515707 167 0.835219.022833067878 438.045666135755 168 0.84223.069576495223 446.139152990445 169 0.845227.202816274123 454.405632548247 170 0.85231.424591100207 462.849182200413 171 0.855235.736991298633 471.473982597265 172 0.86240.142160209621 480.284320419243 173 0.865244.642295613174 489.284591226348 174 0.87249.239651194156 498.479302388313 175 0.875253.936538048942 507.873076097883 176 0.88258.735326234858 517.470652469715 177 0.885263.638446363706 527.276892727412 178 0.89268.648391240681 537.296782481362 179 0.895273.767717550036 547.535435100071 180 0.9278.999047588901 557.998095177803 181 0.905284.345071050706 568.690142101412 182 0.91289.808546859675 579.61709371935 183 0.915295.392305057954 590.784610115908 184 0.92301.099248746938 602.198497493877 185 0.925306.932356084443 613.864712168886 186 0.93312.894682339396 625.789364678792 187 0.935318.989362005796 637.978724011592 188 0.94

Page 26: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

325.219610977729 650.439221955457 189 0.945331.588728787287 663.177457574574 190 0.95

338.10010090731 676.20020181462 191 0.955344.757201120905 689.514402241809 192 0.96351.563593959781 703.127187919562 193 0.965358.522937213503 717.045874427006 194 0.97365.638984511807 731.277969023613 195 0.975

372.91558798223 745.83117596446 196 0.98380.356700985339 760.713401970679 197 0.985387.966380929945 775.932761859891 198 0.99395.748792170746 791.497584341492 199 0.995403.708208990934 403.708209 200 1

44549.4814600122 201 1.005202 1.01203 1.015

111.37370365003 204 1.02205 1.025206 1.03207 1.035208 1.04209 1.045210 1.05211 1.055212 1.06213 1.065214 1.07215 1.075216 1.08217 1.085218 1.09219 1.095220 1.1221 1.105222 1.11223 1.115224 1.12225 1.125226 1.13227 1.135228 1.14229 1.145230 1.15231 1.155232 1.16233 1.165234 1.17235 1.175236 1.18

Page 27: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

237 1.185238 1.19239 1.195240 1.2241 1.205242 1.21243 1.215244 1.22245 1.225246 1.23247 1.235248 1.24249 1.245250 1.25251 1.255252 1.26253 1.265254 1.27255 1.275256 1.28257 1.285258 1.29259 1.295260 1.3261 1.305262 1.31263 1.315264 1.32265 1.325266 1.33267 1.335268 1.34269 1.345270 1.35271 1.355272 1.36273 1.365274 1.37275 1.375276 1.38277 1.385278 1.39279 1.395280 1.4281 1.405282 1.41283 1.415284 1.42

Page 28: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

285 1.425286 1.43287 1.435288 1.44289 1.445290 1.45291 1.455292 1.46293 1.465294 1.47295 1.475296 1.48297 1.485298 1.49299 1.495300 1.5301 1.505302 1.51303 1.515304 1.52305 1.525306 1.53307 1.535308 1.54309 1.545310 1.55311 1.555312 1.56313 1.565314 1.57315 1.575316 1.58317 1.585318 1.59319 1.595320 1.6321 1.605322 1.61323 1.615324 1.62325 1.625326 1.63327 1.635328 1.64329 1.645330 1.65331 1.655332 1.66

Page 29: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

333 1.665334 1.67335 1.675336 1.68337 1.685338 1.69339 1.695340 1.7341 1.705342 1.71343 1.715344 1.72345 1.725346 1.73347 1.735348 1.74349 1.745350 1.75351 1.755352 1.76353 1.765354 1.77355 1.775356 1.78357 1.785358 1.79359 1.795360 1.8361 1.805362 1.81363 1.815364 1.82365 1.825366 1.83367 1.835368 1.84369 1.845370 1.85371 1.855372 1.86373 1.865374 1.87375 1.875376 1.88377 1.885378 1.89379 1.895380 1.9

Page 30: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

381 1.905382 1.91383 1.915384 1.92385 1.925386 1.93387 1.935388 1.94389 1.945390 1.95391 1.955392 1.96393 1.965394 1.97395 1.975396 1.98397 1.985398 1.99399 1.995400 2401 2.005402 2.01403 2.015404 2.02405 2.025406 2.03407 2.035408 2.04409 2.045410 2.05411 2.055412 2.06413 2.065414 2.07415 2.075416 2.08417 2.085418 2.09419 2.095420 2.1421 2.105422 2.11423 2.115424 2.12425 2.125426 2.13427 2.135428 2.14

Page 31: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

429 2.145430 2.15431 2.155432 2.16433 2.165434 2.17435 2.175436 2.18437 2.185438 2.19439 2.195440 2.2441 2.205442 2.21443 2.215444 2.22445 2.225446 2.23447 2.235448 2.24449 2.245450 2.25451 2.255452 2.26453 2.265454 2.27455 2.275456 2.28457 2.285458 2.29459 2.295460 2.3461 2.305462 2.31463 2.315464 2.32465 2.325466 2.33467 2.335468 2.34469 2.345470 2.35471 2.355472 2.36473 2.365474 2.37475 2.375476 2.38

Page 32: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

477 2.385478 2.39479 2.395480 2.4481 2.405482 2.41483 2.415484 2.42485 2.425486 2.43487 2.435488 2.44489 2.445490 2.45491 2.455492 2.46493 2.465494 2.47495 2.475496 2.48497 2.485498 2.49499 2.495500 2.5

Page 33: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

3 20.08553692318773.010025

3.02013.030225

3.04043.050625

3.06093.071225

3.08163.092025

3.10253.113025

3.12363.134225

3.14493.155625

3.16643.177225

3.18813.199025

3.213.221025

3.23213.243225

3.25443.265625

3.27693.288225

3.29963.311025

3.32253.334025

3.34563.357225

3.36893.380625

3.39243.404225

3.41613.428025

3.443.452025

3.46413.476225

3.4884

Page 34: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

3.5006253.5129

3.5252253.5376

3.5500253.5625

3.5750253.5876

3.6002253.6129

3.6256253.6384

3.6512253.6641

3.6770253.69

3.7030253.7161

3.7292253.7424

3.7556253.7689

3.7822253.7956

3.8090253.8225

3.8360253.8496

3.8632253.8769

3.8906253.9044

3.9182253.9321

3.9460253.96

3.9740253.9881

4.0022254.0164

4.0306254.0449

4.0592254.0736

4.0880254.1025

4.1170254.1316

Page 35: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

4.1462254.1609

4.1756254.1904

4.2052254.2201

4.2350254.25

4.2650254.2801

4.2952254.3104

4.3256254.3409

4.3562254.3716

4.3870254.4025

4.4180254.4336

4.4492254.4649

4.4806254.4964

4.5122254.5281

4.5440254.56

4.5760254.5921

4.6082254.6244

4.6406254.6569

4.6732254.6896

4.7060254.7225

4.7390254.7556

4.7722254.7889

4.8056254.8224

4.8392254.8561

4.8730254.89

Page 36: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

4.9070254.9241

4.9412254.9584

4.9756254.9929

5.0102255.0276

5.0450255.0625

5.0800255.0976

5.1152255.1329

5.1506255.1684

5.1862255.2041

5.2220255.24

5.2580255.2761

5.2942255.3124

5.3306255.3489

5.3672255.3856

5.4040255.4225

5.4410255.4596

5.4782255.4969

5.5156255.5344

5.5532255.5721

5.5910255.61

5.6290255.6481

5.6672255.6864

5.7056255.7249

5.7442255.7636

Page 37: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

5.7830255.8025

5.8220255.8416

5.8612255.8809

5.9006255.9204

5.9402255.9601

5.9800256

6.0200256.0401

6.0602256.0804

6.1006256.1209

6.1412256.1616

6.1820256.2025

6.2230256.2436

6.2642256.2849

6.3056256.3264

6.3472256.3681

6.3890256.41

6.4310256.4521

6.4732256.4944

6.5156256.5369

6.5582256.5796

6.6010256.6225

6.6440256.6656

6.6872256.7089

6.7306256.7524

Page 38: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

6.7742256.7961

6.8180256.84

6.8620256.8841

6.9062256.9284

6.9506256.9729

6.9952257.0176

7.0400257.0625

7.0850257.1076

7.1302257.1529

7.1756257.1984

7.2212257.2441

7.2670257.29

7.3130257.3361

7.3592257.3824

7.4056257.4289

7.4522257.4756

7.4990257.5225

7.5460257.5696

7.5932257.6169

7.6406257.6644

7.6882257.7121

7.7360257.76

7.7840257.8081

7.8322257.8564

Page 39: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

7.8806257.9049

7.9292257.9536

7.9780258.0025

8.0270258.0516

8.0762258.1009

8.1256258.1504

8.1752258.2001

8.2250258.25

8.2750258.3001

8.3252258.3504

8.3756258.4009

8.4262258.4516

8.4770258.5025

8.5280258.5536

8.5792258.6049

8.6306258.6564

8.6822258.7081

8.7340258.76

8.7860258.8121

8.8382258.8644

8.8906258.9169

8.9432258.9696

8.9960259.0225

9.0490259.0756

Page 40: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

9.1022259.1289

9.1556259.1824

9.2092259.2361

9.2630259.29

9.3170259.3441

9.3712259.3984

9.4256259.4529

9.4802259.5076

9.5350259.5625

9.5900259.6176

9.6452259.6729

9.7006259.7284

9.7562259.7841

9.8120259.84

9.8680259.8961

9.9242259.9524

9.98062510.0089

10.03722510.0656

10.09402510.1225

10.15102510.1796

10.20822510.2369

10.26562510.2944

10.32322510.3521

10.38102510.41

Page 41: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

10.43902510.4681

10.49722510.5264

10.55562510.5849

10.61422510.6436

10.67302510.7025

10.73202510.7616

10.79122510.8209

10.85062510.8804

10.91022510.9401

10.97002511

11.03002511.0601

11.09022511.1204

11.15062511.1809

11.21122511.2416

11.27202511.3025

11.33302511.3636

11.39422511.4249

11.45562511.4864

11.51722511.5481

11.57902511.61

11.64102511.6721

11.70322511.7344

11.76562511.7969

11.82822511.8596

Page 42: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

11.89102511.9225

11.95402511.9856

12.01722512.0489

12.08062512.1124

12.14422512.1761

12.20802512.24

12.27202512.3041

12.33622512.3684

12.40062512.4329

12.46522512.4976

12.53002512.5625

12.59502512.6276

12.66022512.6929

12.72562512.7584

12.79122512.8241

12.85702512.89

12.92302512.9561

12.98922513.0224

13.05562513.0889

13.12222513.1556

13.18902513.2225

13.25602513.2896

13.32322513.3569

13.39062513.4244

Page 43: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

13.45822513.4921

13.52602513.56

13.59402513.6281

13.66222513.6964

13.73062513.7649

13.79922513.8336

13.86802513.9025

13.93702513.9716

14.00622514.0409

14.07562514.1104

14.14522514.1801

14.21502514.25

Page 44: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

i xi=x0+(i+0,5)h x^2+2*x+3 radian exp(x^2+2*x+3) x^2+2*x+3 sudut0 0.0025 3.00500625 20.1863422602323 172.1741755354341 0.0075 3.01505625 20.3902378591714 172.7499981195412 0.0125 3.02515625 20.5972227758369 173.3286854926233 0.0175 3.03530625 20.8073491745091 173.9102376546814 0.0225 3.04550625 21.020670223951 174.4946546057145 0.0275 3.05575625 21.237240118344 175.0819363457236 0.0325 3.06605625 21.457114098696 175.6720828747087 0.0375 3.07640625 21.6803484747316 176.2650941926688 0.0425 3.08680625 21.9070006472782 176.8609702996049 0.0475 3.09725625 22.1371291311572 177.459711195516

10 0.0525 3.10775625 22.3707935785952 178.06131688040411 0.0575 3.11830625 22.6080548031658 178.66578735426712 0.0625 3.12890625 22.8489748042752 179.27312261710513 0.0675 3.13955625 23.0936167922053 179.8833226689214 0.0725 3.15025625 23.3420452137274 180.4963875097115 0.0775 3.16100625 23.5943257782999 181.11231713947516 0.0825 3.17180625 23.8505254848646 181.73111155821617 0.0875 3.18265625 24.110712649257 182.35277076593318 0.0925 3.19355625 24.3749569322427 182.97729476262619 0.0975 3.20450625 24.6433293681992 183.60468354829420 0.1025 3.21550625 24.9159023944546 184.23493712293821 0.1075 3.22655625 25.1927498813031 184.86805548655822 0.1125 3.23765625 25.4739471627102 185.50403863915323 0.1175 3.24880625 25.7595710677278 186.14288658072424 0.1225 3.26000625 26.0496999526343 186.7845993112725 0.1275 3.27125625 26.3444137338177 187.42917683079326 0.1325 3.28255625 26.6437939214219 188.0766191392927 0.1375 3.29390625 26.9479236537721 188.72692623676428 0.1425 3.30530625 27.2568877326007 189.38009812321329 0.1475 3.31675625 27.5707726590924 190.03613479863830 0.1525 3.32825625 27.8896666707691 190.69503626303831 0.1575 3.33980625 28.213659779235 191.35680251641432 0.1625 3.35140625 28.5428438088037 192.02143355876633 0.1675 3.36305625 28.8773124360285 192.68892939009334 0.1725 3.37475625 29.2171612301594 193.35929001039735 0.1775 3.38650625 29.5624876945483 194.03251541967536 0.1825 3.39830625 29.9133913090273 194.7086056179337 0.1875 3.41015625 30.2699735732836 195.3875606051638 0.1925 3.42205625 30.6323380512569 196.06938038136539 0.1975 3.43400625 31.0005904165828 196.75406494654740 0.2025 3.44600625 31.3748384991108 197.44161430070441 0.2075 3.45805625 31.7551923325219 198.13202844383642 0.2125 3.47015625 32.1417642030748 198.82530737594543 0.2175 3.48230625 32.5346686995079 199.52145109702944 0.2225 3.49450625 32.9340227641268 200.22045960708845 0.2275 3.50675625 33.3399457451071 200.922332906123

Page 45: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

46 0.2325 3.51905625 33.7525594500431 201.62707099413447 0.2375 3.53140625 34.1719882007736 202.33467387112148 0.2425 3.54380625 34.5983588895177 203.04514153708349 0.2475 3.55625625 35.0318010363526 203.75847399202150 0.2525 3.56875625 35.4724468480695 204.47467123593551 0.2575 3.58130625 35.9204312784398 205.19373326882452 0.2625 3.59390625 36.37589208993 205.91566009068953 0.2675 3.60655625 36.8389699169004 206.64045170152954 0.2725 3.61925625 37.3098083303266 207.36810810134555 0.2775 3.63200625 37.7885539040821 208.09862929013756 0.2825 3.64480625 38.2753562828213 208.83201526790457 0.2875 3.65765625 38.7703682515053 209.56826603464858 0.2925 3.67055625 39.2737458066112 210.30738159036659 0.2975 3.68350625 39.7856482290692 211.04936193506160 0.3025 3.69650625 40.3062381589707 211.79420706873161 0.3075 3.70955625 40.8356816720935 212.54191699137662 0.3125 3.72265625 41.3741483582922 213.29249170299863 0.3175 3.73580625 41.921811401799 214.04593120359564 0.3225 3.74900625 42.4788476634869 214.80223549316865 0.3275 3.76225625 43.0454377651446 215.56140457171666 0.3325 3.77555625 43.621766175816 216.3234384392467 0.3375 3.78890625 44.2080213002568 217.0883370957468 0.3425 3.80230625 44.8043955695643 217.85610054121569 0.3475 3.81575625 45.411085534036 218.62672877566670 0.3525 3.82925625 46.0282919583153 219.40022179909271 0.3575 3.84280625 46.6562199188841 220.17657961149572 0.3625 3.85640625 47.2950789039633 220.95580221287373 0.3675 3.87005625 47.9450829158841 221.73788960322674 0.3725 3.88375625 48.6064505759945 222.52284178255575 0.3775 3.89750625 49.2794052321682 223.3106587508676 0.3825 3.91130625 49.9641750689833 224.10134050814177 0.3875 3.92515625 50.6609932206412 224.89488705439778 0.3925 3.93905625 51.370097886698 225.69129838962979 0.3975 3.95300625 52.0917324506816 226.49057451383680 0.4025 3.96700625 52.8261456016725 227.2927154270281 0.4075 3.98105625 53.5735914589236 228.09772112917882 0.4125 3.99515625 54.3343296996021 228.90559162031383 0.4175 4.00930625 55.1086256897349 229.71632690042384 0.4225 4.02350625 55.8967506184416 230.52992696950985 0.4275 4.03775625 56.6989816355442 231.3463918275786 0.4325 4.05205625 57.5156019926417 232.16572147460787 0.4375 4.06640625 58.3469011877426 232.9879159106288 0.4425 4.08080625 59.193175113549 233.81297513560889 0.4475 4.09525625 60.0547262094916 234.64089914957290 0.4525 4.10975625 60.9318636176136 235.47168795251291 0.4575 4.12430625 61.8249033424081 236.30534154442792 0.4625 4.13890625 62.7341684147139 237.14185992531893 0.4675 4.15355625 63.6599890597787 237.981243095185

Page 46: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

94 0.4725 4.16825625 64.6027028696018 238.82349105402795 0.4775 4.18300625 65.5626549796716 239.66860380184596 0.4825 4.19780625 66.5401982502147 240.51658133863997 0.4875 4.21265625 67.5356934520806 241.36742366440898 0.4925 4.22755625 68.5495094573846 242.22113077915399 0.4975 4.24250625 69.5820234350392 243.077702682874

100 0.5025 4.25750625 70.6336210513054 243.93713937557101 0.5075 4.27255625 71.7046966755004 244.799440857242102 0.5125 4.28765625 72.7956535910007 245.664607127889103 0.5175 4.30280625 73.9069042116856 246.532638187513104 0.5225 4.31800625 75.038870303968 247.403534036111105 0.5275 4.33325625 76.191983214565 248.277294673686106 0.5325 4.34855625 77.3666841041651 249.153920100236107 0.5375 4.36390625 78.5634241871524 250.033410315762108 0.5425 4.37930625 79.7826649775537 250.915765320263109 0.5475 4.39475625 81.0248785413789 251.800985113741110 0.5525 4.41025625 82.2905477555289 252.689069696193111 0.5575 4.42580625 83.5801665734537 253.580019067622112 0.5625 4.44140625 84.894240297742 254.473833228026113 0.5675 4.45705625 86.2332858598377 255.370512177406114 0.5725 4.47275625 87.597832107076 256.270055915761115 0.5775 4.48850625 88.9884200972429 257.172464443092116 0.5825 4.50430625 90.4056034008639 258.077737759399117 0.5875 4.52015625 91.8499484114393 258.985875864681118 0.5925 4.53605625 93.3220346638413 259.896878758939119 0.5975 4.55200625 94.822455161103 260.810746442173120 0.6025 4.56800625 96.3518167098299 261.727478914382121 0.6075 4.58405625 97.9107402644753 262.647076175567122 0.6125 4.60015625 99.4998612807243 263.569538225728123 0.6175 4.61630625 101.119830078242 264.494865064864124 0.6225 4.63250625 102.771312213045 265.423056692976125 0.6275 4.64875625 104.454988859769 266.354113110063126 0.6325 4.66505625 106.171557204104 267.288034316127127 0.6375 4.68140625 107.921730845686 268.224820311166128 0.6425 4.69780625 109.706240211732 269.16447109518129 0.6475 4.71425625 111.525832981738 270.10698666817130 0.6525 4.73075625 113.381274523517 271.052367030136131 0.6575 4.74730625 115.273348340939 272.000612181078132 0.6625 4.76390625 117.202856533661 272.951722120995133 0.6675 4.78055625 119.170620269224 273.905696849888134 0.6725 4.79725625 121.177480267826 274.862536367756135 0.6775 4.81400625 123.224297300173 275.8222406746136 0.6825 4.83080625 125.31195269874 276.78480977042137 0.6875 4.84765625 127.441348882846 277.750243655215138 0.6925 4.86455625 129.613409897927 278.718542328987139 0.6975 4.88150625 131.829081969413 279.689705791733140 0.7025 4.89850625 134.08933407162 280.663734043456141 0.7075 4.91555625 136.395158512089 281.640627084154

Page 47: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

142 0.7125 4.93265625 138.747571531819 282.620384913828143 0.7175 4.94980625 141.147613921834 283.603007532477144 0.7225 4.96700625 143.596351656558 284.588494940102145 0.7275 4.98425625 146.09487654449 285.576847136703146 0.7325 5.00155625 148.644306896656 286.568064122279147 0.7375 5.01890625 151.245788213362 287.562145896831148 0.7425 5.03630625 153.900493889773 288.559092460358149 0.7475 5.05375625 156.609625940854 289.558903812862150 0.7525 5.07125625 159.374415746236 290.561579954341151 0.7575 5.08880625 162.196124815584 291.567120884795152 0.7625 5.10640625 165.07604557505 292.575526604226153 0.7675 5.12405625 168.015502175439 293.586797112632154 0.7725 5.14175625 171.015851322691 294.600932410013155 0.7775 5.15950625 174.078483131357 295.61793249637156 0.7825 5.17730625 177.20482200171 296.637797371703157 0.7875 5.19515625 180.396327521196 297.660527036012158 0.7925 5.21305625 183.654495390927 298.686121489296159 0.7975 5.23100625 186.980858377943 299.714580731556160 0.8025 5.24900625 190.376987294005 300.745904762791161 0.8075 5.26705625 193.844492001684 301.780093583002162 0.8125 5.28515625 197.385022448555 302.817147192189163 0.8175 5.30330625 201.000269730307 303.857065590351164 0.8225 5.32150625 204.691967183631 304.89984877749165 0.8275 5.33975625 208.461891509754 305.945496753603166 0.8325 5.35805625 212.311863929518 306.994009518693167 0.8375 5.37640625 216.243751370938 308.045387072758168 0.8425 5.39480625 220.259467690196 309.099629415798169 0.8475 5.41325625 224.360974927057 310.156736547815170 0.8525 5.43175625 228.550284595722 311.216708468807171 0.8575 5.45030625 232.829459012171 312.279545178775172 0.8625 5.46890625 237.20061265908 313.345246677718173 0.8675 5.48755625 241.66591358942 314.413812965637174 0.8725 5.50625625 246.227584869887 315.485244042531175 0.8775 5.52500625 250.887906065357 316.559539908402176 0.8825 5.54380625 255.649214765582 317.636700563248177 0.8875 5.56265625 260.51390815538 318.716726007069178 0.8925 5.58155625 265.484444629635 319.799616239867179 0.8975 5.60050625 270.563345454426 320.88537126164180 0.9025 5.61950625 275.753196475683 321.973991072388181 0.9075 5.63855625 281.056649876785 323.065475672112182 0.9125 5.65765625 286.476425986572 324.159825060812183 0.9175 5.67680625 292.01531513928 325.257039238488184 0.9225 5.69600625 297.676179587975 326.357118205139185 0.9275 5.71525625 303.461955473076 327.460061960766186 0.9325 5.73455625 309.375654847654 328.565870505368187 0.9375 5.75390625 315.420367761195 329.674543838946188 0.9425 5.77330625 321.599264403614 330.7860819615189 0.9475 5.79275625 327.915597311337 331.90048487303

Page 48: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

190 0.9525 5.81225625 334.372703637326 333.017752573535191 0.9575 5.83180625 340.974007487003 334.137885063015192 0.9625 5.85140625 347.723022322053 335.260882341472193 0.9675 5.87105625 354.623353434196 336.386744408904194 0.9725 5.89075625 361.678700491032 337.515471265312195 0.9775 5.91050625 368.892860156185 338.647062910695196 0.9825 5.93030625 376.269728785989 339.781519345054197 0.9875 5.95015625 383.813305205073 340.918840568389198 0.9925 5.97005625 391.527693563254 342.059026580699199 0.9975 5.99000625 399.417106276223 343.202077381985200 1.0025 6.01000625 407.485867052612 344.347992972247

111.368804571492

Page 49: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

exp(x^2+2*x+3)-sin(x^2+2*x+2)20.050180149815420.264038857477820.481049290475520.701262773949620.924731606628321.151509081434121.381649506566921.615208227075621.852241646930622.0928072516078

22.33696363119822.584770504053322.8362887409845

23.09158039002323.350708701759523.613738155275323.880734484680324.151764706271124.426897146326624.7062014695552

24.9897487082125.277611291888225.569863078032125.866579383147826.1678370147615

26.47371430412826.784291139713627.099649001470627.419870995922627.745041892082228.075248158220128.410577999507928.751121396555829.096970144866729.448217895230929.804960195084130.167294530851730.535320371305830.909139211958931.288854620520731.674572283444232.066400053588632.464447999026932.868828453027533.279656065237633.6970478541007

L=h(fo +2 Ʃfi + f200)/2

Page 50: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

34.121123260537634.552004202923734.989815133394835.434683095514835.886737783340136.346111601915936.812939729240637.287360179735337.769513869256638.259544681692738.757599537181939.263828461995239.778384660126140.301424586629940.8331080227581

41.37359815293441.923061643615642.481668724094743.049593269282543.627012884532144.214108992549344.811066922448545.418076001004846.035329646163446.663025462860647.301365341219747.950555557180348.610806875626749.282334656078249.965358961009650.660104666869651.366801577866552.085684542595952.816993573581853.560973969809654.317876442328155.087957243001755.871478296494656.6687073355736

57.47991803981558.30539017780759.145409752939

60.000269152872560.870267302791861.755709822534362.656909187702763.5741848948665

64.50786363096

Page 51: Contoh Integrasi Aproksimasi Untuk Kaidah Segiempat 2

65.458279446989166.425773936163567.410696416568868.413404118504669.434262376609570.473644826904371.531933608883872.6095195727934

73.70680249223174.824191282216675.962104222877877.120969188903478.301223884920579.503316086956480.727703890150981.974855962886883.245251807516584.539382027862885.857748603677587.200865172251288.569257317367989.963462865805891.384032191592692.831528528227494.306528289088895.809621396255897.341411617971598.9025169149915

100.49356979606102.115217682769103.768123284059105.452964980631107.170437219545108.921250919288110.706133885604

112.52583123839114.381105849963116.272738795014118.201529812596

120.16829778045122.173881202054124.219138706724126.304949563153128.432214206759130.601854781237132.814815694713135.072064190925137.374590935835

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139.723410620148142.119562578148144.564111423354147.058147701451149.602788561005152.199178442465154.848489785977157.551923758551160.310711001142

163.12611239621165.999419856356168.931957134642

171.92508065722174.980180378919178.098680662448

181.28204118192184.531757851375187.849363779055191.236430248175194.694567724952198.225426894707201.830699726847205.512120569584209.271467275253

213.11056235714217.031274178741221.035518176404225.125258116345

229.30250738706233.569330328155237.927843596708242.380217572243246.928677801491251.575506484094256.323044000497

261.17369048327266.129907433157271.194219381196276.369215598286281.657551853623287.061952223469292.585210951767298.230194364173303.999842837088309.897172823387315.925278936513322.087336094745328.386601727425

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334.826418045051341.410214375153348.141509565965355.023914459953362.061134439322369.256972045712376.615329676327384.140212358862391.835730607616399.706103363296407.75566101908122273.7609142983