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g'(x)\\,dx",[572,1085,1087,1109],{"className":1086,"ariaHidden":598},[641],[572,1088,1090,1094,1097,1100,1103,1106],{"className":1089},[645],[572,1091],{"className":1092,"style":1093},[649],"height:0.6944em;",[572,1095,864],{"className":1096},[654,655],[572,1098,783],{"className":1099},[654,655],[572,1101],{"className":1102,"style":814},[689],[572,1104,786],{"className":1105},[818],[572,1107],{"className":1108,"style":814},[689],[572,1110,1112,1115,1147,1150,1153,1156,1160,1163],{"className":1111},[645],[572,1113],{"className":1114,"style":704},[649],[572,1116,1118,1121],{"className":1117},[654],[572,1119,603],{"className":1120,"style":668},[654,655],[572,1122,1124],{"className":1123},[714],[572,1125,1127],{"className":1126},[718],[572,1128,1130],{"className":1129},[722],[572,1131,1133],{"className":1132,"style":727},[726],[572,1134,1135,1138],{"style":730},[572,1136],{"className":1137,"style":735},[734],[572,1139,1141],{"className":1140},[739,740,741,742],[572,1142,1144],{"className":1143},[654,742],[572,1145,626],{"className":1146},[654,742],[572,1148,600],{"className":1149},[672],[572,1151,608],{"className":1152},[654,655],[572,1154,611],{"className":1155},[679],[572,1157],{"className":1158,"style":1159},[689],"margin-right:0.1667em;",[572,1161,864],{"className":1162},[654,655],[572,1164,608],{"className":1165},[654,655],[766,1167,1168,1169,1222,1223,1289,1290,1342,1343,841],{},"Grenzen umrechnen: ",[572,1170,1172,1191],{"className":1171},[575],[572,1173,1175],{"className":1174},[579],[581,1176,1177],{"xmlns":583},[585,1178,1179,1188],{},[588,1180,1181,1183,1185],{},[591,1182,608],{},[595,1184,786],{},[591,1186,1187],{},"a",[634,1189,1190],{"encoding":636},"x = a",[572,1192,1194,1213],{"className":1193,"ariaHidden":598},[641],[572,1195,1197,1201,1204,1207,1210],{"className":1196},[645],[572,1198],{"className":1199,"style":1200},[649],"height:0.4306em;",[572,1202,608],{"className":1203},[654,655],[572,1205],{"className":1206,"style":814},[689],[572,1208,786],{"className":1209},[818],[572,1211],{"className":1212,"style":814},[689],[572,1214,1216,1219],{"className":1215},[645],[572,1217],{"className":1218,"style":1200},[649],[572,1220,1187],{"className":1221},[654,655]," wird zu ",[572,1224,1226,1250],{"className":1225},[575],[572,1227,1229],{"className":1228},[579],[581,1230,1231],{"xmlns":583},[585,1232,1233,1247],{},[588,1234,1235,1237,1239,1241,1243,1245],{},[591,1236,783],{},[595,1238,786],{},[591,1240,603],{},[595,1242,600],{"stretchy":597},[591,1244,1187],{},[595,1246,611],{"stretchy":597},[634,1248,1249],{"encoding":636},"t = g(a)",[572,1251,1253,1271],{"className":1252,"ariaHidden":598},[641],[572,1254,1256,1259,1262,1265,1268],{"className":1255},[645],[572,1257],{"className":1258,"style":807},[649],[572,1260,783],{"className":1261},[654,655],[572,1263],{"className":1264,"style":814},[689],[572,1266,786],{"className":1267},[818],[572,1269],{"className":1270,"style":814},[689],[572,1272,1274,1277,1280,1283,1286],{"className":1273},[645],[572,1275],{"className":1276,"style":828},[649],[572,1278,603],{"className":1279,"style":668},[654,655],[572,1281,600],{"className":1282},[672],[572,1284,1187],{"className":1285},[654,655],[572,1287,611],{"className":1288},[679],", ",[572,1291,1293,1312],{"className":1292},[575],[572,1294,1296],{"className":1295},[579],[581,1297,1298],{"xmlns":583},[585,1299,1300,1309],{},[588,1301,1302,1304,1306],{},[591,1303,608],{},[595,1305,786],{},[591,1307,1308],{},"b",[634,1310,1311],{"encoding":636},"x = b",[572,1313,1315,1333],{"className":1314,"ariaHidden":598},[641],[572,1316,1318,1321,1324,1327,1330],{"className":1317},[645],[572,1319],{"className":1320,"style":1200},[649],[572,1322,608],{"className":1323},[654,655],[572,1325],{"className":1326,"style":814},[689],[572,1328,786],{"className":1329},[818],[572,1331],{"className":1332,"style":814},[689],[572,1334,1336,1339],{"className":1335},[645],[572,1337],{"className":1338,"style":1093},[649],[572,1340,1308],{"className":1341},[654,655]," zu ",[572,1344,1346,1370],{"className":1345},[575],[572,1347,1349],{"className":1348},[579],[581,1350,1351],{"xmlns":583},[585,1352,1353,1367],{},[588,1354,1355,1357,1359,1361,1363,1365],{},[591,1356,783],{},[595,1358,786],{},[591,1360,603],{},[595,1362,600],{"stretchy":597},[591,1364,1308],{},[595,1366,611],{"stretchy":597},[634,1368,1369],{"encoding":636},"t = g(b)",[572,1371,1373,1391],{"className":1372,"ariaHidden":598},[641],[572,1374,1376,1379,1382,1385,1388],{"className":1375},[645],[572,1377],{"className":1378,"style":807},[649],[572,1380,783],{"className":1381},[654,655],[572,1383],{"className":1384,"style":814},[689],[572,1386,786],{"className":1387},[818],[572,1389],{"className":1390,"style":814},[689],[572,1392,1394,1397,1400,1403,1406],{"className":1393},[645],[572,1395],{"className":1396,"style":828},[649],[572,1398,603],{"className":1399,"style":668},[654,655],[572,1401,600],{"className":1402},[672],[572,1404,1308],{"className":1405},[654,655],[572,1407,611],{"className":1408},[679],[766,1410,1411,1412,1440],{},"Das neue Integral in ",[572,1413,1415,1428],{"className":1414},[575],[572,1416,1418],{"className":1417},[579],[581,1419,1420],{"xmlns":583},[585,1421,1422,1426],{},[588,1423,1424],{},[591,1425,783],{},[634,1427,783],{"encoding":636},[572,1429,1431],{"className":1430,"ariaHidden":598},[641],[572,1432,1434,1437],{"className":1433},[645],[572,1435],{"className":1436,"style":807},[649],[572,1438,783],{"className":1439},[654,655]," berechnen.",[564,1442,1443,1444,1509,1510,1513],{},"Bei unbestimmten Integralen gibt es keine Grenzen. Dort setzt man am Ende ",[572,1445,1447,1470],{"className":1446},[575],[572,1448,1450],{"className":1449},[579],[581,1451,1452],{"xmlns":583},[585,1453,1454,1468],{},[588,1455,1456,1458,1460,1462,1464,1466],{},[591,1457,783],{},[595,1459,786],{},[591,1461,603],{},[595,1463,600],{"stretchy":597},[591,1465,608],{},[595,1467,611],{"stretchy":597},[634,1469,797],{"encoding":636},[572,1471,1473,1491],{"className":1472,"ariaHidden":598},[641],[572,1474,1476,1479,1482,1485,1488],{"className":1475},[645],[572,1477],{"className":1478,"style":807},[649],[572,1480,783],{"className":1481},[654,655],[572,1483],{"className":1484,"style":814},[689],[572,1486,786],{"className":1487},[818],[572,1489],{"className":1490,"style":814},[689],[572,1492,1494,1497,1500,1503,1506],{"className":1493},[645],[572,1495],{"className":1496,"style":828},[649],[572,1498,603],{"className":1499,"style":668},[654,655],[572,1501,600],{"className":1502},[672],[572,1504,608],{"className":1505},[654,655],[572,1507,611],{"className":1508},[679]," wieder ein (",[568,1511,1512],{},"Rücksubstitution",").",[564,1515,1516,1517,1594,1595,1623],{},"Ein konstanter Faktor, der in ",[572,1518,1520,1544],{"className":1519},[575],[572,1521,1523],{"className":1522},[579],[581,1524,1525],{"xmlns":583},[585,1526,1527,1541],{},[588,1528,1529,1535,1537,1539],{},[618,1530,1531,1533],{},[591,1532,603],{},[595,1534,626],{"mathvariant":624,"lspace":625,"rspace":625},[595,1536,600],{"stretchy":597},[591,1538,608],{},[595,1540,611],{"stretchy":597},[634,1542,1543],{"encoding":636},"g'(x)",[572,1545,1547],{"className":1546,"ariaHidden":598},[641],[572,1548,1550,1553,1585,1588,1591],{"className":1549},[645],[572,1551],{"className":1552,"style":704},[649],[572,1554,1556,1559],{"className":1555},[654],[572,1557,603],{"className":1558,"style":668},[654,655],[572,1560,1562],{"className":1561},[714],[572,1563,1565],{"className":1564},[718],[572,1566,1568],{"className":1567},[722],[572,1569,1571],{"className":1570,"style":727},[726],[572,1572,1573,1576],{"style":730},[572,1574],{"className":1575,"style":735},[734],[572,1577,1579],{"className":1578},[739,740,741,742],[572,1580,1582],{"className":1581},[654,742],[572,1583,626],{"className":1584},[654,742],[572,1586,600],{"className":1587},[672],[572,1589,608],{"className":1590},[654,655],[572,1592,611],{"className":1593},[679]," fehlt, lässt sich vor dem Integral ergänzen. Ein fehlender Faktor, der von ",[572,1596,1598,1611],{"className":1597},[575],[572,1599,1601],{"className":1600},[579],[581,1602,1603],{"xmlns":583},[585,1604,1605,1609],{},[588,1606,1607],{},[591,1608,608],{},[634,1610,608],{"encoding":636},[572,1612,1614],{"className":1613,"ariaHidden":598},[641],[572,1615,1617,1620],{"className":1616},[645],[572,1618],{"className":1619,"style":1200},[649],[572,1621,608],{"className":1622},[654,655]," abhängt, dagegen nicht.",[559,1625,1627],{"id":1626},"beispiele","Beispiele",[564,1629,1630,1631,1741,1742,1818,1819,1923,1924,2027],{},"Mit ",[572,1632,1634,1664],{"className":1633},[575],[572,1635,1637],{"className":1636},[579],[581,1638,1639],{"xmlns":583},[585,1640,1641,1661],{},[588,1642,1643,1645,1647,1655,1658],{},[591,1644,783],{},[595,1646,786],{},[618,1648,1649,1651],{},[591,1650,608],{},[1652,1653,1654],"mn",{},"2",[595,1656,1657],{},"+",[1652,1659,1660],{},"1",[634,1662,1663],{"encoding":636},"t = x^2 + 1",[572,1665,1667,1685,1731],{"className":1666,"ariaHidden":598},[641],[572,1668,1670,1673,1676,1679,1682],{"className":1669},[645],[572,1671],{"className":1672,"style":807},[649],[572,1674,783],{"className":1675},[654,655],[572,1677],{"className":1678,"style":814},[689],[572,1680,786],{"className":1681},[818],[572,1683],{"className":1684,"style":814},[689],[572,1686,1688,1692,1722,1725,1728],{"className":1687},[645],[572,1689],{"className":1690,"style":1691},[649],"height:0.8974em;vertical-align:-0.0833em;",[572,1693,1695,1698],{"className":1694},[654],[572,1696,608],{"className":1697},[654,655],[572,1699,1701],{"className":1700},[714],[572,1702,1704],{"className":1703},[718],[572,1705,1707],{"className":1706},[722],[572,1708,1711],{"className":1709,"style":1710},[726],"height:0.8141em;",[572,1712,1713,1716],{"style":730},[572,1714],{"className":1715,"style":735},[734],[572,1717,1719],{"className":1718},[739,740,741,742],[572,1720,1654],{"className":1721},[654,742],[572,1723],{"className":1724,"style":690},[689],[572,1726,1657],{"className":1727},[694],[572,1729],{"className":1730,"style":690},[689],[572,1732,1734,1738],{"className":1733},[645],[572,1735],{"className":1736,"style":1737},[649],"height:0.6444em;",[572,1739,1660],{"className":1740},[654]," ist ",[572,1743,1745,1773],{"className":1744},[575],[572,1746,1748],{"className":1747},[579],[581,1749,1750],{"xmlns":583},[585,1751,1752,1770],{},[588,1753,1754,1756,1758,1760,1762,1764,1766,1768],{},[591,1755,864],{},[591,1757,783],{},[595,1759,786],{},[1652,1761,1654],{},[591,1763,608],{},[1074,1765,1076],{},[591,1767,864],{},[591,1769,608],{},[634,1771,1772],{"encoding":636},"dt = 2x\\,dx",[572,1774,1776,1797],{"className":1775,"ariaHidden":598},[641],[572,1777,1779,1782,1785,1788,1791,1794],{"className":1778},[645],[572,1780],{"className":1781,"style":1093},[649],[572,1783,864],{"className":1784},[654,655],[572,1786,783],{"className":1787},[654,655],[572,1789],{"className":1790,"style":814},[689],[572,1792,786],{"className":1793},[818],[572,1795],{"className":1796,"style":814},[689],[572,1798,1800,1803,1806,1809,1812,1815],{"className":1799},[645],[572,1801],{"className":1802,"style":1093},[649],[572,1804,1654],{"className":1805},[654],[572,1807,608],{"className":1808},[654,655],[572,1810],{"className":1811,"style":1159},[689],[572,1813,864],{"className":1814},[654,655],[572,1816,608],{"className":1817},[654,655],". Die Grenzen werden ",[572,1820,1822,1849],{"className":1821},[575],[572,1823,1825],{"className":1824},[579],[581,1826,1827],{"xmlns":583},[585,1828,1829,1846],{},[588,1830,1831,1838,1840,1842,1844],{},[618,1832,1833,1836],{},[1652,1834,1835],{},"0",[1652,1837,1654],{},[595,1839,1657],{},[1652,1841,1660],{},[595,1843,786],{},[1652,1845,1660],{},[634,1847,1848],{"encoding":636},"0^2 + 1 = 1",[572,1850,1852,1896,1914],{"className":1851,"ariaHidden":598},[641],[572,1853,1855,1858,1887,1890,1893],{"className":1854},[645],[572,1856],{"className":1857,"style":1691},[649],[572,1859,1861,1864],{"className":1860},[654],[572,1862,1835],{"className":1863},[654],[572,1865,1867],{"className":1866},[714],[572,1868,1870],{"className":1869},[718],[572,1871,1873],{"className":1872},[722],[572,1874,1876],{"className":1875,"style":1710},[726],[572,1877,1878,1881],{"style":730},[572,1879],{"className":1880,"style":735},[734],[572,1882,1884],{"className":1883},[739,740,741,742],[572,1885,1654],{"className":1886},[654,742],[572,1888],{"className":1889,"style":690},[689],[572,1891,1657],{"className":1892},[694],[572,1894],{"className":1895,"style":690},[689],[572,1897,1899,1902,1905,1908,1911],{"className":1898},[645],[572,1900],{"className":1901,"style":1737},[649],[572,1903,1660],{"className":1904},[654],[572,1906],{"className":1907,"style":814},[689],[572,1909,786],{"className":1910},[818],[572,1912],{"className":1913,"style":814},[689],[572,1915,1917,1920],{"className":1916},[645],[572,1918],{"className":1919,"style":1737},[649],[572,1921,1660],{"className":1922},[654]," und ",[572,1925,1927,1953],{"className":1926},[575],[572,1928,1930],{"className":1929},[579],[581,1931,1932],{"xmlns":583},[585,1933,1934,1950],{},[588,1935,1936,1942,1944,1946,1948],{},[618,1937,1938,1940],{},[1652,1939,1660],{},[1652,1941,1654],{},[595,1943,1657],{},[1652,1945,1660],{},[595,1947,786],{},[1652,1949,1654],{},[634,1951,1952],{"encoding":636},"1^2 + 1 = 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2x\\,(x^2 + 1)^3\\,dx = \\int_1^2 t^3\\,dt = \\left[\\frac{t^4}{4}\\right]_1^2 = \\frac{16}{4} - \\frac{1}{4} = 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e":2773},[679,906],[572,2775],{"className":2776,"style":814},[689],[572,2778,786],{"className":2779},[818],[572,2781],{"className":2782,"style":814},[689],[572,2784,2786,2790,2793,2801],{"className":2785},[645],[572,2787],{"className":2788,"style":2789},[649],"height:0.8389em;vertical-align:-0.1944em;",[572,2791,2079],{"className":2792},[654],[572,2794,2796],{"className":2795},[654],[572,2797,2800],{"className":2798},[2799],"mpunct",",",[572,2802,2804],{"className":2803},[654],"75",[564,2806,1630,2807,1741,2871,1818,2953,1923,3014,2027],{},[572,2808,2810,2834],{"className":2809},[575],[572,2811,2813],{"className":2812},[579],[581,2814,2815],{"xmlns":583},[585,2816,2817,2831],{},[588,2818,2819,2821,2823,2826,2829],{},[591,2820,783],{},[595,2822,786],{},[591,2824,2825],{},"sin",[595,2827,2828],{},"⁡",[591,2830,608],{},[634,2832,2833],{"encoding":636},"t = \\sin x",[572,2835,2837,2855],{"className":2836,"ariaHidden":598},[641],[572,2838,2840,2843,2846,2849,2852],{"className":2839},[645],[572,2841],{"className":2842,"style":807},[649],[572,2844,783],{"className":2845},[654,655],[572,2847],{"className":2848,"style":814},[689],[572,2850,786],{"className":2851},[818],[572,2853],{"className":2854,"style":814},[689],[572,2856,2858,2862,2865,2868],{"className":2857},[645],[572,2859],{"className":2860,"style":2861},[649],"height:0.6679em;",[572,2863,2825],{"className":2864},[2174],[572,2866],{"className":2867,"style":1159},[689],[572,2869,608],{"className":2870},[654,655],[572,2872,2874,2905],{"className":2873},[575],[572,2875,2877],{"className":2876},[579],[581,2878,2879],{"xmlns":583},[585,2880,2881,2902],{},[588,2882,2883,2885,2887,2889,2892,2894,2896,2898,2900],{},[591,2884,864],{},[591,2886,783],{},[595,2888,786],{},[591,2890,2891],{},"cos",[595,2893,2828],{},[591,2895,608],{},[1074,2897,1076],{},[591,2899,864],{},[591,2901,608],{},[634,2903,2904],{"encoding":636},"dt = \\cos x\\,dx",[572,2906,2908,2929],{"className":2907,"ariaHidden":598},[641],[572,2909,2911,2914,2917,2920,2923,2926],{"className":2910},[645],[572,2912],{"className":2913,"style":1093},[649],[572,2915,864],{"className":2916},[654,655],[572,2918,783],{"className":2919},[654,655],[572,2921],{"className":2922,"style":814},[689],[572,2924,786],{"className":2925},[818],[572,2927],{"className":2928,"style":814},[689],[572,2930,2932,2935,2938,2941,2944,2947,2950],{"className":2931},[645],[572,2933],{"className":2934,"style":1093},[649],[572,2936,2891],{"className":2937},[2174],[572,2939],{"className":2940,"style":1159},[689],[572,2942,608],{"className":2943},[654,655],[572,2945],{"className":2946,"style":1159},[689],[572,2948,864],{"className":2949},[654,655],[572,2951,608],{"className":2952},[654,655],[572,2954,2956,2978],{"className":2955},[575],[572,2957,2959],{"className":2958},[579],[581,2960,2961],{"xmlns":583},[585,2962,2963,2975],{},[588,2964,2965,2967,2969,2971,2973],{},[591,2966,2825],{},[595,2968,2828],{},[1652,2970,1835],{},[595,2972,786],{},[1652,2974,1835],{},[634,2976,2977],{"encoding":636},"\\sin 0 = 0",[572,2979,2981,3005],{"className":2980,"ariaHidden":598},[641],[572,2982,2984,2987,2990,2993,2996,2999,3002],{"className":2983},[645],[572,2985],{"className":2986,"style":2861},[649],[572,2988,2825],{"className":2989},[2174],[572,2991],{"className":2992,"style":1159},[689],[572,2994,1835],{"className":2995},[654],[572,2997],{"className":2998,"style":814},[689],[572,3000,786],{"className":3001},[818],[572,3003],{"className":3004,"style":814},[689],[572,3006,3008,3011],{"className":3007},[645],[572,3009],{"className":3010,"style":1737},[649],[572,3012,1835],{"className":3013},[654],[572,3015,3017,3044],{"className":3016},[575],[572,3018,3020],{"className":3019},[579],[581,3021,3022],{"xmlns":583},[585,3023,3024,3041],{},[588,3025,3026,3028,3030,3037,3039],{},[591,3027,2825],{},[595,3029,2828],{},[858,3031,3032,3035],{},[591,3033,3034],{},"π",[1652,3036,1654],{},[595,3038,786],{},[1652,3040,1660],{},[634,3042,3043],{"encoding":636},"\\sin \\frac{\\pi}{2} = 1",[572,3045,3047,3138],{"className":3046,"ariaHidden":598},[641],[572,3048,3050,3054,3057,3060,3129,3132,3135],{"className":3049},[645],[572,3051],{"className":3052,"style":3053},[649],"height:1.0404em;vertical-align:-0.345em;",[572,3055,2825],{"className":3056},[2174],[572,3058],{"className":3059,"style":1159},[689],[572,3061,3063,3066,3126],{"className":3062},[654],[572,3064],{"className":3065},[672,906],[572,3067,3069],{"className":3068},[858],[572,3070,3072,3118],{"className":3071},[718,913],[572,3073,3075,3115],{"className":3074},[722],[572,3076,3079,3093,3101],{"className":3077,"style":3078},[726],"height:0.6954em;",[572,3080,3081,3084],{"style":923},[572,3082],{"className":3083,"style":927},[734],[572,3085,3087],{"className":3086},[739,740,741,742],[572,3088,3090],{"className":3089},[654,742],[572,3091,1654],{"className":3092},[654,742],[572,3094,3095,3098],{"style":942},[572,3096],{"className":3097,"style":927},[734],[572,3099],{"className":3100,"style":950},[949],[572,3102,3103,3106],{"style":953},[572,3104],{"className":3105,"style":927},[734],[572,3107,3109],{"className":3108},[739,740,741,742],[572,3110,3112],{"className":3111},[654,742],[572,3113,3034],{"className":3114,"style":668},[654,655,742],[572,3116,973],{"className":3117},[972],[572,3119,3121],{"className":3120},[722],[572,3122,3124],{"className":3123,"style":980},[726],[572,3125],{},[572,3127],{"className":3128},[679,906],[572,3130],{"className":3131,"style":814},[689],[572,3133,786],{"className":3134},[818],[572,3136],{"className":3137,"style":814},[689],[572,3139,3141,3144],{"className":3140},[645],[572,3142],{"className":3143,"style":1737},[649],[572,3145,1660],{"className":3146},[654],[572,3148,3150],{"className":3149},[2031],[572,3151,3153,3231],{"className":3152},[575],[572,3154,3156],{"className":3155},[579],[581,3157,3158],{"xmlns":583,"display":2040},[585,3159,3160,3228],{},[588,3161,3162,3174,3184,3186,3188,3190,3192,3194,3196,3198,3200,3208,3214,3216,3218,3220,3222],{},[2046,3163,3164,3166,3168],{},[595,3165,2050],{},[1652,3167,1835],{},[858,3169,3170,3172],{},[591,3171,3034],{},[1652,3173,1654],{},[618,3175,3176,3182],{},[588,3177,3178,3180],{},[591,3179,2825],{},[595,3181,2828],{},[1652,3183,1654],{},[591,3185,608],{},[591,3187,2891],{},[595,3189,2828],{},[591,3191,608],{},[1074,3193,1076],{},[591,3195,864],{},[591,3197,608],{},[595,3199,786],{},[2046,3201,3202,3204,3206],{},[595,3203,2050],{},[1652,3205,1835],{},[1652,3207,1660],{},[618,3209,3210,3212],{},[591,3211,783],{},[1652,3213,1654],{},[1074,3215,1076],{},[591,3217,864],{},[591,3219,783],{},[595,3221,786],{},[858,3223,3224,3226],{},[1652,3225,1660],{},[1652,3227,2079],{},[634,3229,3230],{"encoding":636},"\\int_0^{\\frac{\\pi}{2}} \\sin^2 x \\cos x\\,dx = \\int_0^1 t^2\\,dt = 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\\frac{1}{2}\\,dt",[572,3812,3814,3841],{"className":3813,"ariaHidden":598},[641],[572,3815,3817,3820,3823,3826,3829,3832,3835,3838],{"className":3816},[645],[572,3818],{"className":3819,"style":1093},[649],[572,3821,608],{"className":3822},[654,655],[572,3824],{"className":3825,"style":1159},[689],[572,3827,864],{"className":3828},[654,655],[572,3830,608],{"className":3831},[654,655],[572,3833],{"className":3834,"style":814},[689],[572,3836,786],{"className":3837},[818],[572,3839],{"className":3840,"style":814},[689],[572,3842,3844,3848,3917,3920,3923],{"className":3843},[645],[572,3845],{"className":3846,"style":3847},[649],"height:1.1901em;vertical-align:-0.345em;",[572,3849,3851,3854,3914],{"className":3850},[654],[572,3852],{"className":3853},[672,906],[572,3855,3857],{"className":3856},[858],[572,3858,3860,3906],{"className":3859},[718,913],[572,3861,3863,3903],{"className":3862},[722],[572,3864,3867,3881,3889],{"className":3865,"style":3866},[726],"height:0.8451em;",[572,3868,3869,3872],{"style":923},[572,3870],{"className":3871,"style":927},[734],[572,3873,3875],{"className":3874},[739,740,741,742],[572,3876,3878],{"className":3877},[654,742],[572,3879,1654],{"className":3880},[654,742],[572,3882,3883,3886],{"style":942},[572,3884],{"className":3885,"style":927},[734],[572,3887],{"className":3888,"style":950},[949],[572,3890,3891,3894],{"style":953},[572,3892],{"className":3893,"style":927},[734],[572,3895,3897],{"className":3896},[739,740,741,742],[572,3898,3900],{"className":3899},[654,742],[572,3901,1660],{"className":3902},[654,742],[572,3904,973],{"className":3905},[972],[572,3907,3909],{"className":3908},[722],[572,3910,3912],{"className":3911,"style":980},[726],[572,3913],{},[572,3915],{"className":3916},[679,906],[572,3918],{"className":3919,"style":1159},[689],[572,3921,864],{"className":3922},[654,655],[572,3924,783],{"className":3925},[654,655],[572,3927,3929],{"className":3928},[2031],[572,3930,3932,4021],{"className":3931},[575],[572,3933,3935],{"className":3934},[579],[581,3936,3937],{"xmlns":583,"display":2040},[585,3938,3939,4018],{},[588,3940,3941,3949,3951,3953,3964,3966,3968,3970,3972,3978,3986,3992,3994,3996,3998,4000,4012,4015],{},[2046,3942,3943,3945,3947],{},[595,3944,2050],{},[1652,3946,1835],{},[1652,3948,1660],{},[591,3950,608],{},[1074,3952,1076],{},[618,3954,3955,3958],{},[591,3956,3957],{},"e",[618,3959,3960,3962],{},[591,3961,608],{},[1652,3963,1654],{},[1074,3965,1076],{},[591,3967,864],{},[591,3969,608],{},[595,3971,786],{},[858,3973,3974,3976],{},[1652,3975,1660],{},[1652,3977,1654],{},[2046,3979,3980,3982,3984],{},[595,3981,2050],{},[1652,3983,1835],{},[1652,3985,1660],{},[618,3987,3988,3990],{},[591,3989,3957],{},[591,3991,783],{},[1074,3993,1076],{},[591,3995,864],{},[591,3997,783],{},[595,3999,786],{},[858,4001,4002,4010],{},[588,4003,4004,4006,4008],{},[591,4005,3957],{},[595,4007,2146],{},[1652,4009,1660],{},[1652,4011,1654],{},[595,4013,4014],{},"≈",[1652,4016,4017],{},"0,8591",[634,4019,4020],{"encoding":636},"\\int_0^1 x\\,e^{x^2}\\,dx = \\frac{1}{2} \\int_0^1 e^t\\,dt = \\frac{e - 1}{2} \\approx 0{,}8591",[572,4022,4024,4170,4343,4432],{"className":4023,"ariaHidden":598},[641],[572,4025,4027,4030,4081,4084,4087,4090,4152,4155,4158,4161,4164,4167],{"className":4026},[645],[572,4028],{"className":4029,"style":2170},[649],[572,4031,4033,4036],{"className":4032},[2174],[572,4034,2050],{"className":4035,"style":2180},[2174,2178,2179],[572,4037,4039],{"className":4038},[714],[572,4040,4042,4073],{"className":4041},[718,913],[572,4043,4045,4070],{"className":4044},[722],[572,4046,4048,4059],{"className":4047,"style":2193},[726],[572,4049,4050,4053],{"style":2196},[572,4051],{"className":4052,"style":735},[734],[572,4054,4056],{"className":4055},[739,740,741,742],[572,4057,1835],{"className":4058},[654,742],[572,4060,4061,4064],{"style":2208},[572,4062],{"className":4063,"style":735},[734],[572,4065,4067],{"className":4066},[739,740,741,742],[572,4068,1660],{"className":4069},[654,742],[572,4071,973],{"className":4072},[972],[572,4074,4076],{"className":4075},[722],[572,4077,4079],{"className":4078,"style":2227},[726],[572,4080],{},[572,4082],{"className":4083,"style":1159},[689],[572,4085,608],{"className":4086},[654,655],[572,4088],{"className":4089,"style":1159},[689],[572,4091,4093,4096],{"className":4092},[654],[572,4094,3957],{"className":4095},[654,655],[572,4097,4099],{"className":4098},[714],[572,4100,4102],{"className":4101},[718],[572,4103,4105],{"className":4104},[722],[572,4106,4109],{"className":4107,"style":4108},[726],"height:1.0369em;",[572,4110,4111,4114],{"style":2266},[572,4112],{"className":4113,"style":735},[734],[572,4115,4117],{"className":4116},[739,740,741,742],[572,4118,4120],{"className":4119},[654,742],[572,4121,4123,4126],{"className":4122},[654,742],[572,4124,608],{"className":4125},[654,655,742],[572,4127,4129],{"className":4128},[714],[572,4130,4132],{"className":4131},[718],[572,4133,4135],{"className":4134},[722],[572,4136,4139],{"className":4137,"style":4138},[726],"height:0.8913em;",[572,4140,4142,4146],{"style":4141},"top:-2.931em;margin-right:0.0714em;",[572,4143],{"className":4144,"style":4145},[734],"height:2.5em;",[572,4147,4149],{"className":4148},[739,3290,664,742],[572,4150,1654],{"className":4151},[654,742],[572,4153],{"className":4154,"style":1159},[689],[572,4156,864],{"className":4157},[654,655],[572,4159,608],{"className":4160},[654,655],[572,4162],{"className":4163,"style":814},[689],[572,4165,786],{"className":4166},[818],[572,4168],{"className":4169,"style":814},[689],[572,4171,4173,4176,4238,4241,4292,4295,4325,4328,4331,4334,4337,4340],{"className":4172},[645],[572,4174],{"className":4175,"style":2170},[649],[572,4177,4179,4182,4235],{"className":4178},[654],[572,4180],{"className":4181},[672,906],[572,4183,4185],{"className":4184},[858],[572,4186,4188,4227],{"className":4187},[718,913],[572,4189,4191,4224],{"className":4190},[722],[572,4192,4194,4205,4213],{"className":4193,"style":2652},[726],[572,4195,4196,4199],{"style":2492},[572,4197],{"className":4198,"style":927},[734],[572,4200,4202],{"className":4201},[654],[572,4203,1654],{"className":4204},[654],[572,4206,4207,4210],{"style":942},[572,4208],{"className":4209,"style":927},[734],[572,4211],{"className":4212,"style":950},[949],[572,4214,4215,4218],{"style":2512},[572,4216],{"className":4217,"style":927},[734],[572,4219,4221],{"className":4220},[654],[572,4222,1660],{"className":4223},[654],[572,4225,973],{"className":4226},[972],[572,4228,4230],{"className":4229},[722],[572,4231,4233],{"className":4232,"style":2557},[726],[572,4234],{},[572,4236],{"className":4237},[679,906],[572,4239],{"className":4240,"style":1159},[689],[572,4242,4244,4247],{"className":4243},[2174],[572,4245,2050],{"className":4246,"style":2180},[2174,2178,2179],[572,4248,4250],{"className":4249},[714],[572,4251,4253,4284],{"className":4252},[718,913],[572,4254,4256,4281],{"className":4255},[722],[572,4257,4259,4270],{"className":4258,"style":2193},[726],[572,4260,4261,4264],{"style":2196},[572,4262],{"className":4263,"style":735},[734],[572,4265,4267],{"className":4266},[739,740,741,742],[572,4268,1835],{"className":4269},[654,742],[572,4271,4272,4275],{"style":2208},[572,4273],{"className":4274,"style":735},[734],[572,4276,4278],{"className":4277},[739,740,741,742],[572,4279,1660],{"className":4280},[654,742],[572,4282,973],{"className":4283},[972],[572,4285,4287],{"className":4286},[722],[572,4288,4290],{"className":4289,"style":2227},[726],[572,4291],{},[572,4293],{"className":4294,"style":1159},[689],[572,4296,4298,4301],{"className":4297},[654],[572,4299,3957],{"className":4300},[654,655],[572,4302,4304],{"className":4303},[714],[572,4305,4307],{"className":4306},[718],[572,4308,4310],{"className":4309},[722],[572,4311,4314],{"className":4312,"style":4313},[726],"height:0.8436em;",[572,4315,4316,4319],{"style":2266},[572,4317],{"className":4318,"style":735},[734],[572,4320,4322],{"className":4321},[739,740,741,742],[572,4323,783],{"className":4324},[654,655,742],[572,4326],{"className":4327,"style":1159},[689],[572,4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Fehler",[4456,4457,4458,4490,4639],"ul",{},[766,4459,4460,4461,4489],{},"Die Grenzen nicht umrechnen und trotzdem in ",[572,4462,4464,4477],{"className":4463},[575],[572,4465,4467],{"className":4466},[579],[581,4468,4469],{"xmlns":583},[585,4470,4471,4475],{},[588,4472,4473],{},[591,4474,783],{},[634,4476,783],{"encoding":636},[572,4478,4480],{"className":4479,"ariaHidden":598},[641],[572,4481,4483,4486],{"className":4482},[645],[572,4484],{"className":4485,"style":807},[649],[572,4487,783],{"className":4488},[654,655]," einsetzen. Entweder man substituiert die Grenzen mit, oder man setzt vor dem Einsetzen zurück.",[766,4491,4492,4526,4527,4561,4562,4638],{},[572,4493,4495,4511],{"className":4494},[575],[572,4496,4498],{"className":4497},[579],[581,4499,4500],{"xmlns":583},[585,4501,4502,4508],{},[588,4503,4504,4506],{},[591,4505,864],{},[591,4507,608],{},[634,4509,4510],{"encoding":636},"dx",[572,4512,4514],{"className":4513,"ariaHidden":598},[641],[572,4515,4517,4520,4523],{"className":4516},[645],[572,4518],{"className":4519,"style":1093},[649],[572,4521,864],{"className":4522},[654,655],[572,4524,608],{"className":4525},[654,655]," einfach durch ",[572,4528,4530,4546],{"className":4529},[575],[572,4531,4533],{"className":4532},[579],[581,4534,4535],{"xmlns":583},[585,4536,4537,4543],{},[588,4538,4539,4541],{},[591,4540,864],{},[591,4542,783],{},[634,4544,4545],{"encoding":636},"dt",[572,4547,4549],{"className":4548,"ariaHidden":598},[641],[572,4550,4552,4555,4558],{"className":4551},[645],[572,4553],{"className":4554,"style":1093},[649],[572,4556,864],{"className":4557},[654,655],[572,4559,783],{"className":4560},[654,655]," ersetzen, ohne den Faktor ",[572,4563,4565,4588],{"className":4564},[575],[572,4566,4568],{"className":4567},[579],[581,4569,4570],{"xmlns":583},[585,4571,4572,4586],{},[588,4573,4574,4580,4582,4584],{},[618,4575,4576,4578],{},[591,4577,603],{},[595,4579,626],{"mathvariant":624,"lspace":625,"rspace":625},[595,4581,600],{"stretchy":597},[591,4583,608],{},[595,4585,611],{"stretchy":597},[634,4587,1543],{"encoding":636},[572,4589,4591],{"className":4590,"ariaHidden":598},[641],[572,4592,4594,4597,4629,4632,4635],{"className":4593},[645],[572,4595],{"className":4596,"style":704},[649],[572,4598,4600,4603],{"className":4599},[654],[572,4601,603],{"className":4602,"style":668},[654,655],[572,4604,4606],{"className":4605},[714],[572,4607,4609],{"className":4608},[718],[572,4610,4612],{"className":4611},[722],[572,4613,4615],{"className":4614,"style":727},[726],[572,4616,4617,4620],{"style":730},[572,4618],{"className":4619,"style":735},[734],[572,4621,4623],{"className":4622},[739,740,741,742],[572,4624,4626],{"className":4625},[654,742],[572,4627,626],{"className":4628},[654,742],[572,4630,600],{"className":4631},[672],[572,4633,608],{"className":4634},[654,655],[572,4636,611],{"className":4637},[679]," zu berücksichtigen.",[766,4640,4641,4642,4670,4671,4790,4791,4819],{},"Einen fehlenden Faktor mit ",[572,4643,4645,4658],{"className":4644},[575],[572,4646,4648],{"className":4647},[579],[581,4649,4650],{"xmlns":583},[585,4651,4652,4656],{},[588,4653,4654],{},[591,4655,608],{},[634,4657,608],{"encoding":636},[572,4659,4661],{"className":4660,"ariaHidden":598},[641],[572,4662,4664,4667],{"className":4663},[645],[572,4665],{"className":4666,"style":1200},[649],[572,4668,608],{"className":4669},[654,655]," „hineinmogeln\": ",[572,4672,4674,4704],{"className":4673},[575],[572,4675,4677],{"className":4676},[579],[581,4678,4679],{"xmlns":583},[585,4680,4681,4701],{},[588,4682,4683,4685,4695,4697,4699],{},[595,4684,2050],{},[618,4686,4687,4689],{},[591,4688,3957],{},[618,4690,4691,4693],{},[591,4692,608],{},[1652,4694,1654],{},[1074,4696,1076],{},[591,4698,864],{},[591,4700,608],{},[634,4702,4703],{"encoding":636},"\\int e^{x^2}\\,dx",[572,4705,4707],{"className":4706,"ariaHidden":598},[641],[572,4708,4710,4714,4719,4722,4781,4784,4787],{"className":4709},[645],[572,4711],{"className":4712,"style":4713},[649],"height:1.293em;vertical-align:-0.3061em;",[572,4715,2050],{"className":4716,"style":4718},[2174,2178,4717],"small-op","margin-right:0.1945em;position:relative;top:-0.0006em;",[572,4720],{"className":4721,"style":1159},[689],[572,4723,4725,4728],{"className":4724},[654],[572,4726,3957],{"className":4727},[654,655],[572,4729,4731],{"className":4730},[714],[572,4732,4734],{"className":4733},[718],[572,4735,4737],{"className":4736},[722],[572,4738,4741],{"className":4739,"style":4740},[726],"height:0.9869em;",[572,4742,4743,4746],{"style":730},[572,4744],{"className":4745,"style":735},[734],[572,4747,4749],{"className":4748},[739,740,741,742],[572,4750,4752],{"className":4751},[654,742],[572,4753,4755,4758],{"className":4754},[654,742],[572,4756,608],{"className":4757},[654,655,742],[572,4759,4761],{"className":4760},[714],[572,4762,4764],{"className":4763},[718],[572,4765,4767],{"className":4766},[722],[572,4768,4770],{"className":4769,"style":4138},[726],[572,4771,4772,4775],{"style":4141},[572,4773],{"className":4774,"style":4145},[734],[572,4776,4778],{"className":4777},[739,3290,664,742],[572,4779,1654],{"className":4780},[654,742],[572,4782],{"className":4783,"style":1159},[689],[572,4785,864],{"className":4786},[654,655],[572,4788,608],{"className":4789},[654,655]," lässt sich so nicht lösen, weil der Faktor ",[572,4792,4794,4807],{"className":4793},[575],[572,4795,4797],{"className":4796},[579],[581,4798,4799],{"xmlns":583},[585,4800,4801,4805],{},[588,4802,4803],{},[591,4804,608],{},[634,4806,608],{"encoding":636},[572,4808,4810],{"className":4809,"ariaHidden":598},[641],[572,4811,4813,4816],{"className":4812},[645],[572,4814],{"className":4815,"style":1200},[649],[572,4817,608],{"className":4818},[654,655]," fehlt.",{"title":4821,"searchDepth":4822,"depth":4822,"links":4823},"",2,[4824,4825,4826],{"id":561,"depth":4822,"text":562},{"id":1626,"depth":4822,"text":1627},{"id":4453,"depth":4822,"text":4454},[4828,4831,4833,4836,4839,4842,4845],{"lhs":4829,"rhs":4830},"2^4\u002F4 - 1^4\u002F4","3.75",{"lhs":4832,"rhs":4830},"round(sum(map(0:999, f(k) = 2 * (k + 0.5) \u002F 1000 * (((k + 0.5) \u002F 1000)^2 + 1)^3)) \u002F 1000, 4)",{"lhs":4834,"rhs":4835},"sin(pi\u002F2)^3\u002F3 - sin(0)^3\u002F3","1\u002F3",{"lhs":4837,"rhs":4838},"round(sum(map(0:999, f(k) = sin((k + 0.5) * pi \u002F 2000)^2 * cos((k + 0.5) * pi \u002F 2000))) * pi \u002F 2000, 4)","round(1\u002F3, 4)",{"lhs":4840,"rhs":4841},"exp(1^2)\u002F2 - exp(0^2)\u002F2","(exp(1) - 1) \u002F 2",{"lhs":4843,"rhs":4844},"round((exp(1) - 1) \u002F 2, 4)","0.8591",{"lhs":4846,"rhs":4844},"round(sum(map(0:999, f(k) = (k + 0.5) \u002F 1000 * exp(((k + 0.5) \u002F 1000)^2))) \u002F 1000, 4)","g \\text{ stetig differenzierbar auf } [a, b],\\ f \\text{ stetig auf } g([a, b])","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>g\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">g\u003C\u002Fannotation>\u003C\u002Fsemantics>\u003C\u002Fmath>\u003C\u002Fspan>\u003Cspan class=\"katex-html\" aria-hidden=\"true\">\u003Cspan class=\"katex-base\">\u003Cspan 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