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f(x)\\,dx - S = -\\frac{(b - a)^5}{2880} \\, f^{(4)}(\\xi)",[572,1023,1025,1128,1148],{"className":1024,"ariaHidden":602},[601],[572,1026,1028,1032,1093,1097,1100,1103,1106,1109,1112,1115,1118,1122,1125],{"className":1027},[606],[572,1029],{"className":1030,"style":1031},[610],"height:2.511em;vertical-align:-0.9119em;",[572,1033,1036,1042],{"className":1034},[1035],"mop",[572,1037,938],{"className":1038,"style":1041},[1035,1039,1040],"op-symbol","large-op","margin-right:0.4445em;position:relative;top:-0.0011em;",[572,1043,1046],{"className":1044},[1045],"msupsub",[572,1047,1049,1084],{"className":1048},[675,676],[572,1050,1052,1081],{"className":1051},[680],[572,1053,1056,1069],{"className":1054,"style":1055},[684],"height:1.599em;",[572,1057,1059,1063],{"style":1058},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[572,1060],{"className":1061,"style":1062},[692],"height:2.7em;",[572,1064,1066],{"className":1065},[697,698,699,700],[572,1067,593],{"className":1068},[615,616,700],[572,1070,1072,1075],{"style":1071},"top:-3.8129em;margin-right:0.05em;",[572,1073],{"className":1074,"style":1062},[692],[572,1076,1078],{"className":1077},[697,698,699,700],[572,1079,643],{"className":1080},[615,616,700],[572,1082,744],{"className":1083},[743],[572,1085,1087],{"className":1086},[680],[572,1088,1091],{"className":1089,"style":1090},[684],"height:0.9119em;",[572,1092],{},[572,1094],{"className":1095,"style":1096},[837],"margin-right:0.1667em;",[572,1098,898],{"className":1099,"style":914},[615,616],[572,1101,948],{"className":1102},[667],[572,1104,951],{"className":1105},[615,616],[572,1107,954],{"className":1108},[757],[572,1110],{"className":1111,"style":1096},[837],[572,1113,961],{"className":1114},[615,616],[572,1116,951],{"className":1117},[615,616],[572,1119],{"className":1120,"style":1121},[837],"margin-right:0.2222em;",[572,1123,966],{"className":1124},[736],[572,1126],{"className":1127,"style":1121},[837],[572,1129,1131,1135,1139,1142,1145],{"className":1130},[606],[572,1132],{"className":1133,"style":1134},[610],"height:0.6833em;",[572,1136,969],{"className":1137,"style":1138},[615,616],"margin-right:0.0576em;",[572,1140],{"className":1141,"style":838},[837],[572,1143,972],{"className":1144},[842],[572,1146],{"className":1147,"style":838},[837],[572,1149,1151,1155,1158,1270,1273,1313,1316,1320],{"className":1150},[606],[572,1152],{"className":1153,"style":1154},[610],"height:2.1771em;vertical-align:-0.686em;",[572,1156,966],{"className":1157},[615],[572,1159,1161,1164,1267],{"className":1160},[615],[572,1162],{"className":1163},[667,668],[572,1165,1167],{"className":1166},[631],[572,1168,1170,1258],{"className":1169},[675,676],[572,1171,1173,1255],{"className":1172},[680],[572,1174,1177,1189,1197],{"className":1175,"style":1176},[684],"height:1.4911em;",[572,1178,1180,1183],{"style":1179},"top:-2.314em;",[572,1181],{"className":1182,"style":693},[692],[572,1184,1186],{"className":1185},[615],[572,1187,997],{"className":1188},[615],[572,1190,1191,1194],{"style":709},[572,1192],{"className":1193,"style":693},[692],[572,1195],{"className":1196,"style":717},[716],[572,1198,1200,1203],{"style":1199},"top:-3.677em;",[572,1201],{"className":1202,"style":693},[692],[572,1204,1206,1209,1212,1215,1218,1221,1224],{"className":1205},[615],[572,1207,948],{"className":1208},[667],[572,1210,643],{"className":1211},[615,616],[572,1213],{"className":1214,"style":1121},[837],[572,1216,966],{"className":1217},[736],[572,1219],{"className":1220,"style":1121},[837],[572,1222,593],{"className":1223},[615,616],[572,1225,1227,1230],{"className":1226},[757],[572,1228,954],{"className":1229},[757],[572,1231,1233],{"className":1232},[1045],[572,1234,1236],{"className":1235},[675],[572,1237,1239],{"className":1238},[680],[572,1240,1243],{"className":1241,"style":1242},[684],"height:0.8141em;",[572,1244,1246,1249],{"style":1245},"top:-3.063em;margin-right:0.05em;",[572,1247],{"className":1248,"style":1062},[692],[572,1250,1252],{"className":1251},[697,698,699,700],[572,1253,994],{"className":1254},[615,700],[572,1256,744],{"className":1257},[743],[572,1259,1261],{"className":1260},[680],[572,1262,1265],{"className":1263,"style":1264},[684],"height:0.686em;",[572,1266],{},[572,1268],{"className":1269},[757,668],[572,1271],{"className":1272,"style":1096},[837],[572,1274,1276,1279],{"className":1275},[615],[572,1277,898],{"className":1278,"style":914},[615,616],[572,1280,1282],{"className":1281},[1045],[572,1283,1285],{"className":1284},[675],[572,1286,1288],{"className":1287},[680],[572,1289,1292],{"className":1290,"style":1291},[684],"height:0.938em;",[572,1293,1295,1298],{"style":1294},"top:-3.113em;margin-right:0.05em;",[572,1296],{"className":1297,"style":1062},[692],[572,1299,1301],{"className":1300},[697,698,699,700],[572,1302,1304,1307,1310],{"className":1303},[615,700],[572,1305,948],{"className":1306},[667,700],[572,1308,813],{"className":1309},[615,700],[572,1311,954],{"className":1312},[757,700],[572,1314,948],{"className":1315},[667],[572,1317,1016],{"className":1318,"style":1319},[615,616],"margin-right:0.046em;",[572,1321,954],{"className":1322},[757],[564,1324,1325,1326,1406],{},"für ein ",[572,1327,1329,1359],{"className":1328},[575],[572,1330,1332],{"className":1331},[579],[581,1333,1334],{"xmlns":583},[585,1335,1336,1356],{},[588,1337,1338,1340,1343,1346,1348,1351,1353],{},[591,1339,1016],{},[638,1341,1342],{},"∈",[638,1344,1345],{"stretchy":947},"[",[591,1347,593],{},[638,1349,1350],{"separator":602},",",[591,1352,643],{},[638,1354,1355],{"stretchy":947},"]",[595,1357,1358],{"encoding":597},"\\xi \\in [a, b]",[572,1360,1362,1380],{"className":1361,"ariaHidden":602},[601],[572,1363,1365,1368,1371,1374,1377],{"className":1364},[606],[572,1366],{"className":1367,"style":910},[610],[572,1369,1016],{"className":1370,"style":1319},[615,616],[572,1372],{"className":1373,"style":838},[837],[572,1375,1342],{"className":1376},[842],[572,1378],{"className":1379,"style":838},[837],[572,1381,1383,1387,1390,1393,1397,1400,1403],{"className":1382},[606],[572,1384],{"className":1385,"style":1386},[610],"height:1em;vertical-align:-0.25em;",[572,1388,1345],{"className":1389},[667],[572,1391,593],{"className":1392},[615,616],[572,1394,1350],{"className":1395},[1396],"mpunct",[572,1398],{"className":1399,"style":1096},[837],[572,1401,643],{"className":1402},[615,616],[572,1404,1355],{"className":1405},[757],".",[564,1408,1409,1410,1462,1463,1466,1467,1496,1497,1630,1631,1633],{},"Für größere Intervalle teilt man ",[572,1411,1413,1435],{"className":1412},[575],[572,1414,1416],{"className":1415},[579],[581,1417,1418],{"xmlns":583},[585,1419,1420,1432],{},[588,1421,1422,1424,1426,1428,1430],{},[638,1423,1345],{"stretchy":947},[591,1425,593],{},[638,1427,1350],{"separator":602},[591,1429,643],{},[638,1431,1355],{"stretchy":947},[595,1433,1434],{"encoding":597},"[a, b]",[572,1436,1438],{"className":1437,"ariaHidden":602},[601],[572,1439,1441,1444,1447,1450,1453,1456,1459],{"className":1440},[606],[572,1442],{"className":1443,"style":1386},[610],[572,1445,1345],{"className":1446},[667],[572,1448,593],{"className":1449},[615,616],[572,1451,1350],{"className":1452},[1396],[572,1454],{"className":1455,"style":1096},[837],[572,1457,643],{"className":1458},[615,616],[572,1460,1355],{"className":1461},[757]," in eine ",[568,1464,1465],{},"gerade"," Anzahl ",[572,1468,1470,1484],{"className":1469},[575],[572,1471,1473],{"className":1472},[579],[581,1474,1475],{"xmlns":583},[585,1476,1477,1482],{},[588,1478,1479],{},[591,1480,1481],{},"n",[595,1483,1481],{"encoding":597},[572,1485,1487],{"className":1486,"ariaHidden":602},[601],[572,1488,1490,1493],{"className":1489},[606],[572,1491],{"className":1492,"style":611},[610],[572,1494,1481],{"className":1495},[615,616]," von Teilintervallen der Breite ",[572,1498,1500,1529],{"className":1499},[575],[572,1501,1503],{"className":1502},[579],[581,1504,1505],{"xmlns":583},[585,1506,1507,1526],{},[588,1508,1509,1512,1514],{},[591,1510,1511],{},"h",[638,1513,972],{},[631,1515,1516,1524],{},[588,1517,1518,1520,1522],{},[591,1519,643],{},[638,1521,966],{},[591,1523,593],{},[591,1525,1481],{},[595,1527,1528],{"encoding":597},"h = \\frac{b - a}{n}",[572,1530,1532,1550],{"className":1531,"ariaHidden":602},[601],[572,1533,1535,1538,1541,1544,1547],{"className":1534},[606],[572,1536],{"className":1537,"style":784},[610],[572,1539,1511],{"className":1540},[615,616],[572,1542],{"className":1543,"style":838},[837],[572,1545,972],{"className":1546},[842],[572,1548],{"className":1549,"style":838},[837],[572,1551,1553,1556],{"className":1552},[606],[572,1554],{"className":1555,"style":660},[610],[572,1557,1559,1562,1627],{"className":1558},[615],[572,1560],{"className":1561},[667,668],[572,1563,1565],{"className":1564},[631],[572,1566,1568,1619],{"className":1567},[675,676],[572,1569,1571,1616],{"className":1570},[680],[572,1572,1574,1588,1596],{"className":1573,"style":685},[684],[572,1575,1576,1579],{"style":688},[572,1577],{"className":1578,"style":693},[692],[572,1580,1582],{"className":1581},[697,698,699,700],[572,1583,1585],{"className":1584},[615,700],[572,1586,1481],{"className":1587},[615,616,700],[572,1589,1590,1593],{"style":709},[572,1591],{"className":1592,"style":693},[692],[572,1594],{"className":1595,"style":717},[716],[572,1597,1598,1601],{"style":720},[572,1599],{"className":1600,"style":693},[692],[572,1602,1604],{"className":1603},[697,698,699,700],[572,1605,1607,1610,1613],{"className":1606},[615,700],[572,1608,643],{"className":1609},[615,616,700],[572,1611,966],{"className":1612},[736,700],[572,1614,593],{"className":1615},[615,616,700],[572,1617,744],{"className":1618},[743],[572,1620,1622],{"className":1621},[680],[572,1623,1625],{"className":1624,"style":751},[684],[572,1626],{},[572,1628],{"className":1629},[757,668]," und wendet die Regel auf je zwei benachbarte an (",[568,1632,552],{},"):",[572,1635,1637],{"className":1636},[919],[572,1638,1640,1793],{"className":1639},[575],[572,1641,1643],{"className":1642},[579],[581,1644,1645],{"xmlns":583,"display":928},[585,1646,1647,1790],{},[588,1648,1649,1657,1659,1661,1663,1665,1667,1669,1671,1674,1681],{},[934,1650,1651,1653,1655],{},[638,1652,938],{},[591,1654,593],{},[591,1656,643],{},[591,1658,898],{},[638,1660,948],{"stretchy":947},[591,1662,951],{},[638,1664,954],{"stretchy":947},[956,1666,958],{},[591,1668,961],{},[591,1670,951],{},[638,1672,1673],{},"≈",[631,1675,1676,1678],{},[591,1677,1511],{},[645,1679,1680],{},"3",[588,1682,1683,1685,1687,1689,1697,1699,1701,1703,1705,1707,1713,1715,1717,1719,1721,1723,1729,1731,1733,1735,1737,1739,1745,1747,1749,1752,1754,1756,1758,1760,1772,1774,1776,1778,1780,1786,1788],{},[638,1684,948],{"fence":602},[591,1686,898],{},[638,1688,948],{"stretchy":947},[1690,1691,1692,1694],"msub",{},[591,1693,951],{},[645,1695,1696],{},"0",[638,1698,954],{"stretchy":947},[638,1700,640],{},[645,1702,813],{},[591,1704,898],{},[638,1706,948],{"stretchy":947},[1690,1708,1709,1711],{},[591,1710,951],{},[645,1712,807],{},[638,1714,954],{"stretchy":947},[638,1716,640],{},[645,1718,647],{},[591,1720,898],{},[638,1722,948],{"stretchy":947},[1690,1724,1725,1727],{},[591,1726,951],{},[645,1728,647],{},[638,1730,954],{"stretchy":947},[638,1732,640],{},[645,1734,813],{},[591,1736,898],{},[638,1738,948],{"stretchy":947},[1690,1740,1741,1743],{},[591,1742,951],{},[645,1744,1680],{},[638,1746,954],{"stretchy":947},[638,1748,640],{},[638,1750,1751],{},"…",[638,1753,640],{},[645,1755,813],{},[591,1757,898],{},[638,1759,948],{"stretchy":947},[1690,1761,1762,1764],{},[591,1763,951],{},[588,1765,1766,1768,1770],{},[591,1767,1481],{},[638,1769,966],{},[645,1771,807],{},[638,1773,954],{"stretchy":947},[638,1775,640],{},[591,1777,898],{},[638,1779,948],{"stretchy":947},[1690,1781,1782,1784],{},[591,1783,951],{},[591,1785,1481],{},[638,1787,954],{"stretchy":947},[638,1789,954],{"fence":602},[595,1791,1792],{"encoding":597},"\\int_a^b f(x)\\,dx \\approx \\frac{h}{3} \\left( f(x_0) + 4 f(x_1) + 2 f(x_2) + 4 f(x_3) + \\ldots + 4 f(x_{n-1}) + f(x_n) 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f(x)\\,dx - S(h) = -\\frac{(b - a) \\, h^4}{180} \\, f^{(4)}(\\xi)",[572,2480,2482,2572,2599],{"className":2481,"ariaHidden":602},[601],[572,2483,2485,2488,2539,2542,2545,2548,2551,2554,2557,2560,2563,2566,2569],{"className":2484},[606],[572,2486],{"className":2487,"style":1031},[610],[572,2489,2491,2494],{"className":2490},[1035],[572,2492,938],{"className":2493,"style":1041},[1035,1039,1040],[572,2495,2497],{"className":2496},[1045],[572,2498,2500,2531],{"className":2499},[675,676],[572,2501,2503,2528],{"className":2502},[680],[572,2504,2506,2517],{"className":2505,"style":1055},[684],[572,2507,2508,2511],{"style":1058},[572,2509],{"className":2510,"style":1062},[692],[572,2512,2514],{"className":2513},[697,698,699,700],[572,2515,593],{"className":2516},[615,616,700],[572,2518,2519,2522],{"style":1071},[572,2520],{"className":2521,"style":1062},[692],[572,2523,2525],{"className":2524},[697,698,699,700],[572,2526,643],{"className":2527},[615,616,700],[572,2529,744],{"className":2530},[743],[572,2532,2534],{"className":2533},[680],[572,2535,2537],{"className":2536,"style":1090},[684],[572,2538],{},[572,2540],{"className":2541,"style":1096},[837],[572,2543,898],{"className":2544,"style":914},[615,616],[572,2546,948],{"className":2547},[667],[572,2549,951],{"className":2550},[615,616],[572,2552,954],{"className":2553},[757],[572,2555],{"className":2556,"style":1096},[837],[572,2558,961],{"className":2559},[615,616],[572,2561,951],{"className":2562},[615,616],[572,2564],{"className":2565,"style":1121},[837],[572,2567,966],{"className":2568},[736],[572,2570],{"className":2571,"style":1121},[837],[572,2573,2575,2578,2581,2584,2587,2590,2593,2596],{"className":2574},[606],[572,2576],{"className":2577,"style":1386},[610],[572,2579,969],{"className":2580,"style":1138},[615,616],[572,2582,948],{"className":2583},[667],[572,2585,1511],{"className":2586},[615,616],[572,2588,954],{"className":2589},[757],[572,2591],{"className":2592,"style":838},[837],[572,2594,972],{"className":2595},[842],[572,2597],{"className":2598,"style":838},[837],[572,2600,2602,2605,2608,2720,2723,2761,2764,2767],{"className":2601},[606],[572,2603],{"className":2604,"style":1154},[610],[572,2606,966],{"className":2607},[615],[572,2609,2611,2614,2717],{"className":2610},[615],[572,2612],{"className":2613},[667,668],[572,2615,2617],{"className":2616},[631],[572,2618,2620,2709],{"className":2619},[675,676],[572,2621,2623,2706],{"className":2622},[680],[572,2624,2626,2637,2645],{"className":2625,"style":1176},[684],[572,2627,2628,2631],{"style":1179},[572,2629],{"className":2630,"style":693},[692],[572,2632,2634],{"className":2633},[615],[572,2635,2455],{"className":2636},[615],[572,2638,2639,2642],{"style":709},[572,2640],{"className":2641,"style":693},[692],[572,2643],{"className":2644,"style":717},[716],[572,2646,2647,2650],{"style":1199},[572,2648],{"className":2649,"style":693},[692],[572,2651,2653,2656,2659,2662,2665,2668,2671,2674,2677],{"className":2652},[615],[572,2654,948],{"className":2655},[667],[572,2657,643],{"className":2658},[615,616],[572,2660],{"className":2661,"style":1121},[837],[572,2663,966],{"className":2664},[736],[572,2666],{"className":2667,"style":1121},[837],[572,2669,593],{"className":2670},[615,616],[572,2672,954],{"className":2673},[757],[572,2675],{"className":2676,"style":1096},[837],[572,2678,2680,2683],{"className":2679},[615],[572,2681,1511],{"className":2682},[615,616],[572,2684,2686],{"className":2685},[1045],[572,2687,2689],{"className":2688},[675],[572,2690,2692],{"className":2691},[680],[572,2693,2695],{"className":2694,"style":1242},[684],[572,2696,2697,2700],{"style":1245},[572,2698],{"className":2699,"style":1062},[692],[572,2701,2703],{"className":2702},[697,698,699,700],[572,2704,813],{"className":2705},[615,700],[572,2707,744],{"className":2708},[743],[572,2710,2712],{"className":2711},[680],[572,2713,2715],{"className":2714,"style":1264},[684],[572,2716],{},[572,2718],{"className":2719},[757,668],[572,2721],{"className":2722,"style":1096},[837],[572,2724,2726,2729],{"className":2725},[615],[572,2727,898],{"className":2728,"style":914},[615,616],[572,2730,2732],{"className":2731},[1045],[572,2733,2735],{"className":2734},[675],[572,2736,2738],{"className":2737},[680],[572,2739,2741],{"className":2740,"style":1291},[684],[572,2742,2743,2746],{"style":1294},[572,2744],{"className":2745,"style":1062},[692],[572,2747,2749],{"className":2748},[697,698,699,700],[572,2750,2752,2755,2758],{"className":2751},[615,700],[572,2753,948],{"className":2754},[667,700],[572,2756,813],{"className":2757},[615,700],[572,2759,954],{"className":2760},[757,700],[572,2762,948],{"className":2763},[667],[572,2765,1016],{"className":2766,"style":1319},[615,616],[572,2768,954],{"className":2769},[757],[564,2771,1325,2772,2845,2846,2905,2906,2934,2935,3056],{},[572,2773,2775,2800],{"className":2774},[575],[572,2776,2778],{"className":2777},[579],[581,2779,2780],{"xmlns":583},[585,2781,2782,2798],{},[588,2783,2784,2786,2788,2790,2792,2794,2796],{},[591,2785,1016],{},[638,2787,1342],{},[638,2789,1345],{"stretchy":947},[591,2791,593],{},[638,2793,1350],{"separator":602},[591,2795,643],{},[638,2797,1355],{"stretchy":947},[595,2799,1358],{"encoding":597},[572,2801,2803,2821],{"className":2802,"ariaHidden":602},[601],[572,2804,2806,2809,2812,2815,2818],{"className":2805},[606],[572,2807],{"className":2808,"style":910},[610],[572,2810,1016],{"className":2811,"style":1319},[615,616],[572,2813],{"className":2814,"style":838},[837],[572,2816,1342],{"className":2817},[842],[572,2819],{"className":2820,"style":838},[837],[572,2822,2824,2827,2830,2833,2836,2839,2842],{"className":2823},[606],[572,2825],{"className":2826,"style":1386},[610],[572,2828,1345],{"className":2829},[667],[572,2831,593],{"className":2832},[615,616],[572,2834,1350],{"className":2835},[1396],[572,2837],{"className":2838,"style":1096},[837],[572,2840,643],{"className":2841},[615,616],[572,2843,1355],{"className":2844},[757],". Er ist von der Ordnung ",[572,2847,2849,2867],{"className":2848},[575],[572,2850,2852],{"className":2851},[579],[581,2853,2854],{"xmlns":583},[585,2855,2856,2864],{},[588,2857,2858],{},[988,2859,2860,2862],{},[591,2861,1511],{},[645,2863,813],{},[595,2865,2866],{"encoding":597},"h^4",[572,2868,2870],{"className":2869,"ariaHidden":602},[601],[572,2871,2873,2876],{"className":2872},[606],[572,2874],{"className":2875,"style":1242},[610],[572,2877,2879,2882],{"className":2878},[615],[572,2880,1511],{"className":2881},[615,616],[572,2883,2885],{"className":2884},[1045],[572,2886,2888],{"className":2887},[675],[572,2889,2891],{"className":2890},[680],[572,2892,2894],{"className":2893,"style":1242},[684],[572,2895,2896,2899],{"style":1245},[572,2897],{"className":2898,"style":1062},[692],[572,2900,2902],{"className":2901},[697,698,699,700],[572,2903,813],{"className":2904},[615,700],": Halbiert man ",[572,2907,2909,2922],{"className":2908},[575],[572,2910,2912],{"className":2911},[579],[581,2913,2914],{"xmlns":583},[585,2915,2916,2920],{},[588,2917,2918],{},[591,2919,1511],{},[595,2921,1511],{"encoding":597},[572,2923,2925],{"className":2924,"ariaHidden":602},[601],[572,2926,2928,2931],{"className":2927},[606],[572,2929],{"className":2930,"style":784},[610],[572,2932,1511],{"className":2933},[615,616],", wird er etwa 16-mal kleiner. Die Simpsonregel ist zugleich der gewichtete Mittelwert ",[572,2936,2938,2966],{"className":2937},[575],[572,2939,2941],{"className":2940},[579],[581,2942,2943],{"xmlns":583},[585,2944,2945,2963],{},[588,2946,2947],{},[631,2948,2949,2961],{},[588,2950,2951,2953,2956,2958],{},[645,2952,647],{},[591,2954,2955],{},"M",[638,2957,640],{},[591,2959,2960],{},"T",[645,2962,1680],{},[595,2964,2965],{"encoding":597},"\\frac{2M + T}{3}",[572,2967,2969],{"className":2968,"ariaHidden":602},[601],[572,2970,2972,2976],{"className":2971},[606],[572,2973],{"className":2974,"style":2975},[610],"height:1.2173em;vertical-align:-0.345em;",[572,2977,2979,2982,3053],{"className":2978},[615],[572,2980],{"className":2981},[667,668],[572,2983,2985],{"className":2984},[631],[572,2986,2988,3045],{"className":2987},[675,676],[572,2989,2991,3042],{"className":2990},[680],[572,2992,2995,3009,3017],{"className":2993,"style":2994},[684],"height:0.8723em;",[572,2996,2997,3000],{"style":688},[572,2998],{"className":2999,"style":693},[692],[572,3001,3003],{"className":3002},[697,698,699,700],[572,3004,3006],{"className":3005},[615,700],[572,3007,1680],{"className":3008},[615,700],[572,3010,3011,3014],{"style":709},[572,3012],{"className":3013,"style":693},[692],[572,3015],{"className":3016,"style":717},[716],[572,3018,3019,3022],{"style":720},[572,3020],{"className":3021,"style":693},[692],[572,3023,3025],{"className":3024},[697,698,699,700],[572,3026,3028,3031,3035,3038],{"className":3027},[615,700],[572,3029,647],{"className":3030},[615,700],[572,3032,2955],{"className":3033,"style":3034},[615,616,700],"margin-right:0.109em;",[572,3036,640],{"className":3037},[736,700],[572,3039,2960],{"className":3040,"style":3041},[615,616,700],"margin-right:0.1389em;",[572,3043,744],{"className":3044},[743],[572,3046,3048],{"className":3047},[680],[572,3049,3051],{"className":3050,"style":751},[684],[572,3052],{},[572,3054],{"className":3055},[757,668]," aus Mittelpunkt- und Trapezregel, deren Fehler sich dabei weitgehend aufheben.",[559,3058,3060],{"id":3059},"beispiele","Beispiele",[564,3062,3063,3280],{},[572,3064,3066,3108],{"className":3065},[575],[572,3067,3069],{"className":3068},[579],[581,3070,3071],{"xmlns":583},[585,3072,3073,3105],{},[588,3074,3075,3083,3089,3091,3093,3095,3097,3100,3103],{},[934,3076,3077,3079,3081],{},[638,3078,938],{},[645,3080,807],{},[645,3082,647],{},[631,3084,3085,3087],{},[645,3086,807],{},[591,3088,951],{},[956,3090,958],{},[591,3092,961],{},[591,3094,951],{},[638,3096,972],{},[591,3098,3099],{},"ln",[638,3101,3102],{},"⁡",[645,3104,647],{},[595,3106,3107],{"encoding":597},"\\int_1^2 \\frac{1}{x}\\,dx = \\ln 2",[572,3109,3111,3265],{"className":3110,"ariaHidden":602},[601],[572,3112,3114,3118,3175,3178,3247,3250,3253,3256,3259,3262],{"className":3113},[606],[572,3115],{"className":3116,"style":3117},[610],"height:1.3648em;vertical-align:-0.3558em;",[572,3119,3121,3126],{"className":3120},[1035],[572,3122,938],{"className":3123,"style":3125},[1035,1039,3124],"small-op","margin-right:0.1945em;position:relative;top:-0.0006em;",[572,3127,3129],{"className":3128},[1045],[572,3130,3132,3166],{"className":3131},[675,676],[572,3133,3135,3163],{"className":3134},[680],[572,3136,3139,3151],{"className":3137,"style":3138},[684],"height:1.009em;",[572,3140,3142,3145],{"style":3141},"top:-2.3442em;margin-left:-0.1945em;margin-right:0.05em;",[572,3143],{"className":3144,"style":1062},[692],[572,3146,3148],{"className":3147},[697,698,699,700],[572,3149,807],{"className":3150},[615,700],[572,3152,3154,3157],{"style":3153},"top:-3.2579em;margin-right:0.05em;",[572,3155],{"className":3156,"style":1062},[692],[572,3158,3160],{"className":3159},[697,698,699,700],[572,3161,647],{"className":3162},[615,700],[572,3164,744],{"className":3165},[743],[572,3167,3169],{"className":3168},[680],[572,3170,3173],{"className":3171,"style":3172},[684],"height:0.3558em;",[572,3174],{},[572,3176],{"className":3177,"style":1096},[837],[572,3179,3181,3184,3244],{"className":3180},[615],[572,3182],{"className":3183},[667,668],[572,3185,3187],{"className":3186},[631],[572,3188,3190,3236],{"className":3189},[675,676],[572,3191,3193,3233],{"className":3192},[680],[572,3194,3197,3211,3219],{"className":3195,"style":3196},[684],"height:0.8451em;",[572,3198,3199,3202],{"style":688},[572,3200],{"className":3201,"style":693},[692],[572,3203,3205],{"className":3204},[697,698,699,700],[572,3206,3208],{"className":3207},[615,700],[572,3209,951],{"className":3210},[615,616,700],[572,3212,3213,3216],{"style":709},[572,3214],{"className":3215,"style":693},[692],[572,3217],{"className":3218,"style":717},[716],[572,3220,3221,3224],{"style":720},[572,3222],{"className":3223,"style":693},[692],[572,3225,3227],{"className":3226},[697,698,699,700],[572,3228,3230],{"className":3229},[615,700],[572,3231,807],{"className":3232},[615,700],[572,3234,744],{"className":3235},[743],[572,3237,3239],{"className":3238},[680],[572,3240,3242],{"className":3241,"style":751},[684],[572,3243],{},[572,3245],{"className":3246},[757,668],[572,3248],{"className":3249,"style":1096},[837],[572,3251,961],{"className":3252},[615,616],[572,3254,951],{"className":3255},[615,616],[572,3257],{"className":3258,"style":838},[837],[572,3260,972],{"className":3261},[842],[572,3263],{"className":3264,"style":838},[837],[572,3266,3268,3271,3274,3277],{"className":3267},[606],[572,3269],{"className":3270,"style":784},[610],[572,3272,3099],{"className":3273},[1035],[572,3275],{"className":3276,"style":1096},[837],[572,3278,647],{"className":3279},[615]," mit einer einzigen Parabel:",[572,3282,3284],{"className":3283},[919],[572,3285,3287,3350],{"className":3286},[575],[572,3288,3290],{"className":3289},[579],[581,3291,3292],{"xmlns":583,"display":928},[585,3293,3294,3347],{},[588,3295,3296,3298,3300,3307,3332,3334,3342,3344],{},[591,3297,969],{},[638,3299,972],{},[631,3301,3302,3304],{},[645,3303,807],{},[645,3305,3306],{},"6",[588,3308,3309,3311,3313,3315,3322,3324,3330],{},[638,3310,948],{"fence":602},[645,3312,807],{},[638,3314,640],{},[631,3316,3317,3319],{},[645,3318,813],{},[645,3320,3321],{},"1,5",[638,3323,640],{},[631,3325,3326,3328],{},[645,3327,807],{},[645,3329,647],{},[638,3331,954],{"fence":602},[638,3333,972],{},[631,3335,3336,3339],{},[645,3337,3338],{},"25",[645,3340,3341],{},"36",[638,3343,1673],{},[645,3345,3346],{},"0,6944",[595,3348,3349],{"encoding":597},"S = \\frac{1}{6} \\left( 1 + \\frac{4}{1{,}5} + \\frac{1}{2} \\right) = \\frac{25}{36} \\approx 0{,}6944",[572,3351,3353,3371,3624,3702],{"className":3352,"ariaHidden":602},[601],[572,3354,3356,3359,3362,3365,3368],{"className":3355},[606],[572,3357],{"className":3358,"style":1134},[610],[572,3360,969],{"className":3361,"style":1138},[615,616],[572,3363],{"className":3364,"style":838},[837],[572,3366,972],{"className":3367},[842],[572,3369],{"className":3370,"style":838},[837],[572,3372,3374,3378,3441,3444,3615,3618,3621],{"className":3373},[606],[572,3375],{"className":3376,"style":3377},[610],"height:2.4em;vertical-align:-0.95em;",[572,3379,3381,3384,3438],{"className":3380},[615],[572,3382],{"className":3383},[667,668],[572,3385,3387],{"className":3386},[631],[572,3388,3390,3430],{"className":3389},[675,676],[572,3391,3393,3427],{"className":3392},[680],[572,3394,3397,3408,3416],{"className":3395,"style":3396},[684],"height:1.3214em;",[572,3398,3399,3402],{"style":1179},[572,3400],{"className":3401,"style":693},[692],[572,3403,3405],{"className":3404},[615],[572,3406,3306],{"className":3407},[615],[572,3409,3410,3413],{"style":709},[572,3411],{"className":3412,"style":693},[692],[572,3414],{"className":3415,"style":717},[716],[572,3417,3418,3421],{"style":1199},[572,3419],{"className":3420,"style":693},[692],[572,3422,3424],{"className":3423},[615],[572,3425,807],{"className":3426},[615],[572,3428,744],{"className":3429},[743],[572,3431,3433],{"className":3432},[680],[572,3434,3436],{"className":3435,"style":1264},[684],[572,3437],{},[572,3439],{"className":3440},[757,668],[572,3442],{"className":3443,"style":1096},[837],[572,3445,3447,3454,3457,3460,3463,3466,3538,3541,3544,3547,3609],{"className":3446},[1962],[572,3448,3450],{"className":3449,"style":1967},[667,1966],[572,3451,948],{"className":3452},[3453,699],"delimsizing",[572,3455,807],{"className":3456},[615],[572,3458],{"className":3459,"style":1121},[837],[572,3461,640],{"className":3462},[736],[572,3464],{"className":3465,"style":1121},[837],[572,3467,3469,3472,3535],{"className":3468},[615],[572,3470],{"className":3471},[667,668],[572,3473,3475],{"className":3474},[631],[572,3476,3478,3526],{"className":3477},[675,676],[572,3479,3481,3523],{"className":3480},[680],[572,3482,3484,3504,3512],{"className":3483,"style":3396},[684],[572,3485,3486,3489],{"style":1179},[572,3487],{"className":3488,"style":693},[692],[572,3490,3492,3495,3501],{"className":3491},[615],[572,3493,807],{"className":3494},[615],[572,3496,3498],{"className":3497},[615],[572,3499,1350],{"className":3500},[1396],[572,3502,994],{"className":3503},[615],[572,3505,3506,3509],{"style":709},[572,3507],{"className":3508,"style":693},[692],[572,3510],{"className":3511,"style":717},[716],[572,3513,3514,3517],{"style":1199},[572,3515],{"className":3516,"style":693},[692],[572,3518,3520],{"className":3519},[615],[572,3521,813],{"className":3522},[615],[572,3524,744],{"className":3525},[743],[572,3527,3529],{"className":3528},[680],[572,3530,3533],{"className":3531,"style":3532},[684],"height:0.8804em;",[572,3534],{},[572,3536],{"className":3537},[757,668],[572,3539],{"className":3540,"style":1121},[837],[572,3542,640],{"className":3543},[736],[572,3545],{"className":3546,"style":1121},[837],[572,3548,3550,3553,3606],{"className":3549},[615],[572,3551],{"className":3552},[667,668],[572,3554,3556],{"className":3555},[631],[572,3557,3559,3598],{"className":3558},[675,676],[572,3560,3562,3595],{"className":3561},[680],[572,3563,3565,3576,3584],{"className":3564,"style":3396},[684],[572,3566,3567,3570],{"style":1179},[572,3568],{"className":3569,"style":693},[692],[572,3571,3573],{"className":3572},[615],[572,3574,647],{"className":3575},[615],[572,3577,3578,3581],{"style":709},[572,3579],{"className":3580,"style":693},[692],[572,3582],{"className":3583,"style":717},[716],[572,3585,3586,3589],{"style":1199},[572,3587],{"className":3588,"style":693},[692],[572,3590,3592],{"className":3591},[615],[572,3593,807],{"className":3594},[615],[572,3596,744],{"className":3597},[743],[572,3599,3601],{"className":3600},[680],[572,3602,3604],{"className":3603,"style":1264},[684],[572,3605],{},[572,3607],{"className":3608},[757,668],[572,3610,3612],{"className":3611,"style":1967},[757,1966],[572,3613,954],{"className":3614},[3453,699],[572,3616],{"className":3617,"style":838},[837],[572,3619,972],{"className":3620},[842],[572,3622],{"className":3623,"style":838},[837],[572,3625,3627,3631,3693,3696,3699],{"className":3626},[606],[572,3628],{"className":3629,"style":3630},[610],"height:2.0074em;vertical-align:-0.686em;",[572,3632,3634,3637,3690],{"className":3633},[615],[572,3635],{"className":3636},[667,668],[572,3638,3640],{"className":3639},[631],[572,3641,3643,3682],{"className":3642},[675,676],[572,3644,3646,3679],{"className":3645},[680],[572,3647,3649,3660,3668],{"className":3648,"style":3396},[684],[572,3650,3651,3654],{"style":1179},[572,3652],{"className":3653,"style":693},[692],[572,3655,3657],{"className":3656},[615],[572,3658,3341],{"className":3659},[615],[572,3661,3662,3665],{"style":709},[572,3663],{"className":3664,"style":693},[692],[572,3666],{"className":3667,"style":717},[716],[572,3669,3670,3673],{"style":1199},[572,3671],{"className":3672,"style":693},[692],[572,3674,3676],{"className":3675},[615],[572,3677,3338],{"className":3678},[615],[572,3680,744],{"className":3681},[743],[572,3683,3685],{"className":3684},[680],[572,3686,3688],{"className":3687,"style":1264},[684],[572,3689],{},[572,3691],{"className":3692},[757,668],[572,3694],{"className":3695,"style":838},[837],[572,3697,1673],{"className":3698},[842],[572,3700],{"className":3701,"style":838},[837],[572,3703,3705,3709,3712,3718],{"className":3704},[606],[572,3706],{"className":3707,"style":3708},[610],"height:0.8389em;vertical-align:-0.1944em;",[572,3710,1696],{"className":3711},[615],[572,3713,3715],{"className":3714},[615],[572,3716,1350],{"className":3717},[1396],[572,3719,3721],{"className":3720},[615],"6944",[564,3723,3724,3725,3765,3766,1406],{},"Der Fehler ist nur etwa ",[572,3726,3728,3743],{"className":3727},[575],[572,3729,3731],{"className":3730},[579],[581,3732,3733],{"xmlns":583},[585,3734,3735,3740],{},[588,3736,3737],{},[645,3738,3739],{},"0,0013",[595,3741,3742],{"encoding":597},"0{,}0013",[572,3744,3746],{"className":3745,"ariaHidden":602},[601],[572,3747,3749,3752,3755,3761],{"className":3748},[606],[572,3750],{"className":3751,"style":3708},[610],[572,3753,1696],{"className":3754},[615],[572,3756,3758],{"className":3757},[615],[572,3759,1350],{"className":3760},[1396],[572,3762,3764],{"className":3763},[615],"0013",". Die Trapezregel mit derselben Anzahl Stützstellen liefert ",[572,3767,3769,3784],{"className":3768},[575],[572,3770,3772],{"className":3771},[579],[581,3773,3774],{"xmlns":583},[585,3775,3776,3781],{},[588,3777,3778],{},[645,3779,3780],{},"0,7083",[595,3782,3783],{"encoding":597},"0{,}7083",[572,3785,3787],{"className":3786,"ariaHidden":602},[601],[572,3788,3790,3793,3796,3802],{"className":3789},[606],[572,3791],{"className":3792,"style":3708},[610],[572,3794,1696],{"className":3795},[615],[572,3797,3799],{"className":3798},[615],[572,3800,1350],{"className":3801},[1396],[572,3803,3805],{"className":3804},[615],"7083",[564,3807,3808,3951,3952,4207,4208,758,4259,810],{},[572,3809,3811,3849],{"className":3810},[575],[572,3812,3814],{"className":3813},[579],[581,3815,3816],{"xmlns":583},[585,3817,3818,3846],{},[588,3819,3820,3829,3832,3834,3836,3838,3840,3842,3844],{},[934,3821,3822,3824,3826],{},[638,3823,938],{},[645,3825,1696],{},[591,3827,3828],{},"π",[591,3830,3831],{},"sin",[638,3833,3102],{},[591,3835,951],{},[956,3837,958],{},[591,3839,961],{},[591,3841,951],{},[638,3843,972],{},[645,3845,647],{},[595,3847,3848],{"encoding":597},"\\int_0^\\pi \\sin x\\,dx = 2",[572,3850,3852,3942],{"className":3851,"ariaHidden":602},[601],[572,3853,3855,3859,3912,3915,3918,3921,3924,3927,3930,3933,3936,3939],{"className":3854},[606],[572,3856],{"className":3857,"style":3858},[610],"height:1.2151em;vertical-align:-0.3558em;",[572,3860,3862,3865],{"className":3861},[1035],[572,3863,938],{"className":3864,"style":3125},[1035,1039,3124],[572,3866,3868],{"className":3867},[1045],[572,3869,3871,3904],{"className":3870},[675,676],[572,3872,3874,3901],{"className":3873},[680],[572,3875,3878,3889],{"className":3876,"style":3877},[684],"height:0.8593em;",[572,3879,3880,3883],{"style":3141},[572,3881],{"className":3882,"style":1062},[692],[572,3884,3886],{"className":3885},[697,698,699,700],[572,3887,1696],{"className":3888},[615,700],[572,3890,3891,3894],{"style":3153},[572,3892],{"className":3893,"style":1062},[692],[572,3895,3897],{"className":3896},[697,698,699,700],[572,3898,3828],{"className":3899,"style":3900},[615,616,700],"margin-right:0.0359em;",[572,3902,744],{"className":3903},[743],[572,3905,3907],{"className":3906},[680],[572,3908,3910],{"className":3909,"style":3172},[684],[572,3911],{},[572,3913],{"className":3914,"style":1096},[837],[572,3916,3831],{"className":3917},[1035],[572,3919],{"className":3920,"style":1096},[837],[572,3922,951],{"className":3923},[615,616],[572,3925],{"className":3926,"style":1096},[837],[572,3928,961],{"className":3929},[615,616],[572,3931,951],{"className":3932},[615,616],[572,3934],{"className":3935,"style":838},[837],[572,3937,972],{"className":3938},[842],[572,3940],{"className":3941,"style":838},[837],[572,3943,3945,3948],{"className":3944},[606],[572,3946],{"className":3947,"style":830},[610],[572,3949,647],{"className":3950},[615],". Mit einer Parabel ergibt sich ",[572,3953,3955,3995],{"className":3954},[575],[572,3956,3958],{"className":3957},[579],[581,3959,3960],{"xmlns":583},[585,3961,3962,3992],{},[588,3963,3964,3970,3973,3975,3977,3987,3989],{},[631,3965,3966,3968],{},[591,3967,3828],{},[645,3969,3306],{},[638,3971,3972],{},"⋅",[645,3974,813],{},[638,3976,972],{},[631,3978,3979,3985],{},[588,3980,3981,3983],{},[645,3982,647],{},[591,3984,3828],{},[645,3986,1680],{},[638,3988,1673],{},[645,3990,3991],{},"2,0944",[595,3993,3994],{"encoding":597},"\\frac{\\pi}{6} \\cdot 4 = \\frac{2\\pi}{3} \\approx 2{,}0944",[572,3996,3998,4083,4101,4188],{"className":3997,"ariaHidden":602},[601],[572,3999,4001,4005,4074,4077,4080],{"className":4000},[606],[572,4002],{"className":4003,"style":4004},[610],"height:1.0404em;vertical-align:-0.345em;",[572,4006,4008,4011,4071],{"className":4007},[615],[572,4009],{"className":4010},[667,668],[572,4012,4014],{"className":4013},[631],[572,4015,4017,4063],{"className":4016},[675,676],[572,4018,4020,4060],{"className":4019},[680],[572,4021,4024,4038,4046],{"className":4022,"style":4023},[684],"height:0.6954em;",[572,4025,4026,4029],{"style":688},[572,4027],{"className":4028,"style":693},[692],[572,4030,4032],{"className":4031},[697,698,699,700],[572,4033,4035],{"className":4034},[615,700],[572,4036,3306],{"className":4037},[615,700],[572,4039,4040,4043],{"style":709},[572,4041],{"className":4042,"style":693},[692],[572,4044],{"className":4045,"style":717},[716],[572,4047,4048,4051],{"style":720},[572,4049],{"className":4050,"style":693},[692],[572,4052,4054],{"className":4053},[697,698,699,700],[572,4055,4057],{"className":4056},[615,700],[572,4058,3828],{"className":4059,"style":3900},[615,616,700],[572,4061,744],{"className":4062},[743],[572,4064,4066],{"className":4065},[680],[572,4067,4069],{"className":4068,"style":751},[684],[572,4070],{},[572,4072],{"className":4073},[757,668],[572,4075],{"className":4076,"style":1121},[837],[572,4078,3972],{"className":4079},[736],[572,4081],{"className":4082,"style":1121},[837],[572,4084,4086,4089,4092,4095,4098],{"className":4085},[606],[572,4087],{"className":4088,"style":830},[610],[572,4090,813],{"className":4091},[615],[572,4093],{"className":4094,"style":838},[837],[572,4096,972],{"className":4097},[842],[572,4099],{"className":4100,"style":838},[837],[572,4102,4104,4108,4179,4182,4185],{"className":4103},[606],[572,4105],{"className":4106,"style":4107},[610],"height:1.1901em;vertical-align:-0.345em;",[572,4109,4111,4114,4176],{"className":4110},[615],[572,4112],{"className":4113},[667,668],[572,4115,4117],{"className":4116},[631],[572,4118,4120,4168],{"className":4119},[675,676],[572,4121,4123,4165],{"className":4122},[680],[572,4124,4126,4140,4148],{"className":4125,"style":3196},[684],[572,4127,4128,4131],{"style":688},[572,4129],{"className":4130,"style":693},[692],[572,4132,4134],{"className":4133},[697,698,699,700],[572,4135,4137],{"className":4136},[615,700],[572,4138,1680],{"className":4139},[615,700],[572,4141,4142,4145],{"style":709},[572,4143],{"className":4144,"style":693},[692],[572,4146],{"className":4147,"style":717},[716],[572,4149,4150,4153],{"style":720},[572,4151],{"className":4152,"style":693},[692],[572,4154,4156],{"className":4155},[697,698,699,700],[572,4157,4159,4162],{"className":4158},[615,700],[572,4160,647],{"className":4161},[615,700],[572,4163,3828],{"className":4164,"style":3900},[615,616,700],[572,4166,744],{"className":4167},[743],[572,4169,4171],{"className":4170},[680],[572,4172,4174],{"className":4173,"style":751},[684],[572,4175],{},[572,4177],{"className":4178},[757,668],[572,4180],{"className":4181,"style":838},[837],[572,4183,1673],{"className":4184},[842],[572,4186],{"className":4187,"style":838},[837],[572,4189,4191,4194,4197,4203],{"className":4190},[606],[572,4192],{"className":4193,"style":3708},[610],[572,4195,647],{"className":4196},[615],[572,4198,4200],{"className":4199},[615],[572,4201,1350],{"className":4202},[1396],[572,4204,4206],{"className":4205},[615],"0944",". Summiert mit ",[572,4209,4211,4229],{"className":4210},[575],[572,4212,4214],{"className":4213},[579],[581,4215,4216],{"xmlns":583},[585,4217,4218,4226],{},[588,4219,4220,4222,4224],{},[591,4221,1481],{},[638,4223,972],{},[645,4225,813],{},[595,4227,4228],{"encoding":597},"n = 4",[572,4230,4232,4250],{"className":4231,"ariaHidden":602},[601],[572,4233,4235,4238,4241,4244,4247],{"className":4234},[606],[572,4236],{"className":4237,"style":611},[610],[572,4239,1481],{"className":4240},[615,616],[572,4242],{"className":4243,"style":838},[837],[572,4245,972],{"className":4246},[842],[572,4248],{"className":4249,"style":838},[837],[572,4251,4253,4256],{"className":4252},[606],[572,4254],{"className":4255,"style":830},[610],[572,4257,813],{"className":4258},[615],[572,4260,4262,4284],{"className":4261},[575],[572,4263,4265],{"className":4264},[579],[581,4266,4267],{"xmlns":583},[585,4268,4269,4281],{},[588,4270,4271,4273,4275],{},[591,4272,1511],{},[638,4274,972],{},[631,4276,4277,4279],{},[591,4278,3828],{},[645,4280,813],{},[595,4282,4283],{"encoding":597},"h = 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= \\frac{\\pi}{12} \\left( 0 + 4 \\sin\\tfrac{\\pi}{4} + 2 \\sin\\tfrac{\\pi}{2} + 4 \\sin\\tfrac{3\\pi}{4} + 0 \\right) \\approx 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statt ",[572,5024,5026,5050],{"className":5025},[575],[572,5027,5029],{"className":5028},[579],[581,5030,5031],{"xmlns":583},[585,5032,5033,5047],{},[588,5034,5035],{},[631,5036,5037,5045],{},[588,5038,5039,5041,5043],{},[591,5040,643],{},[638,5042,966],{},[591,5044,593],{},[645,5046,3306],{},[595,5048,5049],{"encoding":597},"\\frac{b - 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schreiben. Den Faktor ",[572,5135,5137,5155],{"className":5136},[575],[572,5138,5140],{"className":5139},[579],[581,5141,5142],{"xmlns":583},[585,5143,5144,5152],{},[588,5145,5146],{},[631,5147,5148,5150],{},[591,5149,1511],{},[645,5151,1680],{},[595,5153,5154],{"encoding":597},"\\frac{h}{3}",[572,5156,5158],{"className":5157,"ariaHidden":602},[601],[572,5159,5161,5164],{"className":5160},[606],[572,5162],{"className":5163,"style":660},[610],[572,5165,5167,5170,5229],{"className":5166},[615],[572,5168],{"className":5169},[667,668],[572,5171,5173],{"className":5172},[631],[572,5174,5176,5221],{"className":5175},[675,676],[572,5177,5179,5218],{"className":5178},[680],[572,5180,5182,5196,5204],{"className":5181,"style":685},[684],[572,5183,5184,5187],{"style":688},[572,5185],{"className":5186,"style":693},[692],[572,5188,5190],{"className":5189},[697,698,699,700],[572,5191,5193],{"className":5192},[615,700],[572,5194,1680],{"className":5195},[615,700],[572,5197,5198,5201],{"style":709},[572,5199],{"className":5200,"style":693},[692],[572,5202],{"className":5203,"style":717},[716],[572,5205,5206,5209],{"style":720},[572,5207],{"className":5208,"style":693},[692],[572,5210,5212],{"className":5211},[697,698,699,700],[572,5213,5215],{"className":5214},[615,700],[572,5216,1511],{"className":5217},[615,616,700],[572,5219,744],{"className":5220},[743],[572,5222,5224],{"className":5223},[680],[572,5225,5227],{"className":5226,"style":751},[684],[572,5228],{},[572,5230],{"className":5231},[757,668]," 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anwenden.",[4909,5295,5296,5297,5407,5408,5022,5436,1406],{},"Die Gewichte ",[572,5298,5300,5338],{"className":5299},[575],[572,5301,5303],{"className":5302},[579],[581,5304,5305],{"xmlns":583},[585,5306,5307,5335],{},[588,5308,5309,5311,5313,5315,5317,5319,5321,5323,5325,5327,5329,5331,5333],{},[645,5310,807],{},[638,5312,1350],{"separator":602},[645,5314,813],{},[638,5316,1350],{"separator":602},[645,5318,647],{},[638,5320,1350],{"separator":602},[645,5322,813],{},[638,5324,1350],{"separator":602},[638,5326,1751],{},[638,5328,1350],{"separator":602},[645,5330,813],{},[638,5332,1350],{"separator":602},[645,5334,807],{},[595,5336,5337],{"encoding":597},"1, 4, 2, 4, \\ldots, 4, 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xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">f\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1076em;\">f\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">auf\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmo stretchy=\"false\">[\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003Cmi>b\u003C\u002Fmi>\u003Cmo 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