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Integral"," braucht man keinen Grenzwert von Rechtecksummen, sondern nur eine Stammfunktion ",[581,913,915,929],{"className":914},[584],[581,916,918],{"className":917},[588],[590,919,920],{"xmlns":592},[594,921,922,927],{},[597,923,924],{},[603,925,926],{},"F",[653,928,926],{"encoding":655},[581,930,932],{"className":931,"ariaHidden":661},[660],[581,933,935,939],{"className":934},[665],[581,936],{"className":937,"style":938},[669],"height:0.6833em;",[581,940,926],{"className":941,"style":942},[674,678],"margin-right:0.1389em;",[565,944,945,946,904],{},"Man schreibt die Rechnung meist mit eckigen Klammern: 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F(a)",[581,1006,1008,1100,1129],{"className":1007,"ariaHidden":661},[660],[581,1009,1011,1015,1091,1094,1097],{"className":1010},[665],[581,1012],{"className":1013,"style":1014},[669],"height:1.2887em;vertical-align:-0.2997em;",[581,1016,1019,1042],{"className":1017},[1018],"minner",[581,1020,1022,1027,1030,1033,1036,1039],{"className":1021},[1018],[581,1023,964],{"className":1024,"style":1026},[733,1025],"delimcenter","top:0em;",[581,1028,926],{"className":1029,"style":942},[674,678],[581,1031,613],{"className":1032},[733],[581,1034,616],{"className":1035},[674,678],[581,1037,619],{"className":1038},[740],[581,1040,975],{"className":1041,"style":1026},[740,1025],[581,1043,1045],{"className":1044},[683],[581,1046,1048,1082],{"className":1047},[687,688],[581,1049,1051,1079],{"className":1050},[692],[581,1052,1055,1067],{"className":1053,"style":1054},[696],"height:0.989em;",[581,1056,1058,1061],{"style":1057},"top:-2.4003em;margin-right:0.05em;",[581,1059],{"className":1060,"style":705},[704],[581,1062,1064],{"className":1063},[709,710,711,712],[581,1065,608],{"className":1066},[674,678,712],[581,1068,1070,1073],{"style":1069},"top:-3.2029em;margin-right:0.05em;",[581,1071],{"className":1072,"style":705},[704],[581,1074,1076],{"className":1075},[709,710,711,712],[581,1077,980],{"className":1078},[674,678,712],[581,1080,720],{"className":1081},[719],[581,1083,1085],{"className":1084},[692],[581,1086,1089],{"className":1087,"style":1088},[696],"height:0.2997em;",[581,1090],{},[581,1092],{"className":1093,"style":745},[744],[581,1095,622],{"className":1096},[749],[581,1098],{"className":1099,"style":745},[744],[581,1101,1103,1106,1109,1112,1115,1118,1122,1126],{"className":1102},[665],[581,1104],{"className":1105,"style":670},[669],[581,1107,926],{"className":1108,"style":942},[674,678],[581,1110,613],{"className":1111},[733],[581,1113,980],{"className":1114},[674,678],[581,1116,619],{"className":1117},[740],[581,1119],{"className":1120,"style":1121},[744],"margin-right:0.2222em;",[581,1123,993],{"className":1124},[1125],"mbin",[581,1127],{"className":1128,"style":1121},[744],[581,1130,1132,1135,1138,1141,1144],{"className":1131},[665],[581,1133],{"className":1134,"style":670},[669],[581,1136,926],{"className":1137,"style":942},[674,678],[581,1139,613],{"className":1140},[733],[581,1142,608],{"className":1143},[674,678],[581,1145,619],{"className":1146},[740],[565,1148,1149,1150,1180,1181,1225,1226,1270],{},"Welche Stammfunktion man nimmt, ist egal: Eine Konstante ",[581,1151,1153,1167],{"className":1152},[584],[581,1154,1156],{"className":1155},[588],[590,1157,1158],{"xmlns":592},[594,1159,1160,1165],{},[597,1161,1162],{},[603,1163,1164],{},"C",[653,1166,1164],{"encoding":655},[581,1168,1170],{"className":1169,"ariaHidden":661},[660],[581,1171,1173,1176],{"className":1172},[665],[581,1174],{"className":1175,"style":938},[669],[581,1177,1164],{"className":1178,"style":1179},[674,678],"margin-right:0.0715em;"," wird bei ",[581,1182,1184,1204],{"className":1183},[584],[581,1185,1187],{"className":1186},[588],[590,1188,1189],{"xmlns":592},[594,1190,1191,1201],{},[597,1192,1193,1195,1197,1199],{},[603,1194,926],{},[610,1196,613],{"stretchy":612},[603,1198,980],{},[610,1200,619],{"stretchy":612},[653,1202,1203],{"encoding":655},"F(b)",[581,1205,1207],{"className":1206,"ariaHidden":661},[660],[581,1208,1210,1213,1216,1219,1222],{"className":1209},[665],[581,1211],{"className":1212,"style":670},[669],[581,1214,926],{"className":1215,"style":942},[674,678],[581,1217,613],{"className":1218},[733],[581,1220,980],{"className":1221},[674,678],[581,1223,619],{"className":1224},[740]," addiert und bei ",[581,1227,1229,1249],{"className":1228},[584],[581,1230,1232],{"className":1231},[588],[590,1233,1234],{"xmlns":592},[594,1235,1236,1246],{},[597,1237,1238,1240,1242,1244],{},[603,1239,926],{},[610,1241,613],{"stretchy":612},[603,1243,608],{},[610,1245,619],{"stretchy":612},[653,1247,1248],{"encoding":655},"F(a)",[581,1250,1252],{"className":1251,"ariaHidden":661},[660],[581,1253,1255,1258,1261,1264,1267],{"className":1254},[665],[581,1256],{"className":1257,"style":670},[669],[581,1259,926],{"className":1260,"style":942},[674,678],[581,1262,613],{"className":1263},[733],[581,1265,608],{"className":1266},[674,678],[581,1268,619],{"className":1269},[740]," wieder abgezogen.",[565,1272,1273,1274,1277,1278,1307,1308,1336,1337,1391],{},"Das Integral misst eine ",[576,1275,1276],{},"Flächenbilanz",": Flächen oberhalb der ",[581,1279,1281,1294],{"className":1280},[584],[581,1282,1284],{"className":1283},[588],[590,1285,1286],{"xmlns":592},[594,1287,1288,1292],{},[597,1289,1290],{},[603,1291,616],{},[653,1293,616],{"encoding":655},[581,1295,1297],{"className":1296,"ariaHidden":661},[660],[581,1298,1300,1304],{"className":1299},[665],[581,1301],{"className":1302,"style":1303},[669],"height:0.4306em;",[581,1305,616],{"className":1306},[674,678],"-Achse zählen positiv, Flächen unterhalb negativ. Voraussetzung ist, dass ",[581,1309,1311,1324],{"className":1310},[584],[581,1312,1314],{"className":1313},[588],[590,1315,1316],{"xmlns":592},[594,1317,1318,1322],{},[597,1319,1320],{},[603,1321,635],{},[653,1323,635],{"encoding":655},[581,1325,1327],{"className":1326,"ariaHidden":661},[660],[581,1328,1330,1333],{"className":1329},[665],[581,1331],{"className":1332,"style":871},[669],[581,1334,635],{"className":1335,"style":826},[674,678]," auf dem ganzen Intervall ",[581,1338,1340,1363],{"className":1339},[584],[581,1341,1343],{"className":1342},[588],[590,1344,1345],{"xmlns":592},[594,1346,1347,1360],{},[597,1348,1349,1351,1353,1356,1358],{},[610,1350,964],{"stretchy":612},[603,1352,608],{},[610,1354,1355],{"separator":661},",",[603,1357,980],{},[610,1359,975],{"stretchy":612},[653,1361,1362],{"encoding":655},"[a, b]",[581,1364,1366],{"className":1365,"ariaHidden":661},[660],[581,1367,1369,1372,1375,1378,1382,1385,1388],{"className":1368},[665],[581,1370],{"className":1371,"style":670},[669],[581,1373,964],{"className":1374},[733],[581,1376,608],{"className":1377},[674,678],[581,1379,1355],{"className":1380},[1381],"mpunct",[581,1383],{"className":1384,"style":822},[744],[581,1386,980],{"className":1387},[674,678],[581,1389,975],{"className":1390},[740]," stetig ist.",[560,1393,1395],{"id":1394},"beispiele","Beispiele",[581,1397,1400],{"className":1398},[1399],"katex-display",[581,1401,1403,1498],{"className":1402},[584],[581,1404,1406],{"className":1405},[588],[590,1407,1409],{"xmlns":592,"display":1408},"block",[594,1410,1411,1495],{},[597,1412,1413,1424,1432,1434,1436,1438,1440,1463,1465,1472,1474,1480,1482,1489,1492],{},[624,1414,1415,1417,1421],{},[610,1416,628],{},[1418,1419,1420],"mn",{},"1",[1418,1422,1423],{},"3",[1425,1426,1427,1429],"msup",{},[603,1428,616],{},[1418,1430,1431],{},"2",[644,1433,646],{},[603,1435,649],{},[603,1437,616],{},[610,1439,622],{},[624,1441,1442,1459,1461],{},[597,1443,1444,1446,1457],{},[610,1445,964],{"fence":661},[1447,1448,1449,1455],"mfrac",{},[1425,1450,1451,1453],{},[603,1452,616],{},[1418,1454,1423],{},[1418,1456,1423],{},[610,1458,975],{"fence":661},[1418,1460,1420],{},[1418,1462,1423],{},[610,1464,622],{},[1447,1466,1467,1470],{},[1418,1468,1469],{},"27",[1418,1471,1423],{},[610,1473,993],{},[1447,1475,1476,1478],{},[1418,1477,1420],{},[1418,1479,1423],{},[610,1481,622],{},[1447,1483,1484,1487],{},[1418,1485,1486],{},"26",[1418,1488,1423],{},[610,1490,1491],{},"≈",[1418,1493,1494],{},"8,67",[653,1496,1497],{"encoding":655},"\\int_1^3 x^2 \\, dx = \\left[\\frac{x^3}{3}\\right]_1^3 = \\frac{27}{3} - \\frac{1}{3} = \\frac{26}{3} \\approx 8{,}67",[581,1499,1501,1617,1800,1879,1956,2033],{"className":1500,"ariaHidden":661},[660],[581,1502,1504,1508,1565,1568,1599,1602,1605,1608,1611,1614],{"className":1503},[665],[581,1505],{"className":1506,"style":1507},[669],"height:2.476em;vertical-align:-0.9119em;",[581,1509,1511,1516],{"className":1510},[763],[581,1512,628],{"className":1513,"style":1515},[763,767,1514],"large-op","margin-right:0.4445em;position:relative;top:-0.0011em;",[581,1517,1519],{"className":1518},[683],[581,1520,1522,1556],{"className":1521},[687,688],[581,1523,1525,1553],{"className":1524},[692],[581,1526,1529,1541],{"className":1527,"style":1528},[696],"height:1.564em;",[581,1530,1532,1535],{"style":1531},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[581,1533],{"className":1534,"style":705},[704],[581,1536,1538],{"className":1537},[709,710,711,712],[581,1539,1420],{"className":1540},[674,712],[581,1542,1544,1547],{"style":1543},"top:-3.8129em;margin-right:0.05em;",[581,1545],{"className":1546,"style":705},[704],[581,1548,1550],{"className":1549},[709,710,711,712],[581,1551,1423],{"className":1552},[674,712],[581,1554,720],{"className":1555},[719],[581,1557,1559],{"className":1558},[692],[581,1560,1563],{"className":1561,"style":1562},[696],"height:0.9119em;",[581,1564],{},[581,1566],{"className":1567,"style":822},[744],[581,1569,1571,1574],{"className":1570},[674],[581,1572,616],{"className":1573},[674,678],[581,1575,1577],{"className":1576},[683],[581,1578,1580],{"className":1579},[687],[581,1581,1583],{"className":1582},[692],[581,1584,1587],{"className":1585,"style":1586},[696],"height:0.8641em;",[581,1588,1590,1593],{"style":1589},"top:-3.113em;margin-right:0.05em;",[581,1591],{"className":1592,"style":705},[704],[581,1594,1596],{"className":1595},[709,710,711,712],[581,1597,1431],{"className":1598},[674,712],[581,1600],{"className":1601,"style":822},[744],[581,1603,649],{"className":1604},[674,678],[581,1606,616],{"className":1607},[674,678],[581,1609],{"className":1610,"style":745},[744],[581,1612,622],{"className":1613},[749],[581,1615],{"className":1616,"style":745},[744],[581,1618,1620,1624,1791,1794,1797],{"className":1619},[665],[581,1621],{"className":1622,"style":1623},[669],"height:2.6948em;vertical-align:-0.9997em;",[581,1625,1627,1742],{"className":1626},[1018],[581,1628,1630,1637,1736],{"className":1629},[1018],[581,1631,1633],{"className":1632,"style":1026},[733,1025],[581,1634,964],{"className":1635},[1636,711],"delimsizing",[581,1638,1640,1644,1733],{"className":1639},[674],[581,1641],{"className":1642},[733,1643],"nulldelimiter",[581,1645,1647],{"className":1646},[1447],[581,1648,1650,1724],{"className":1649},[687,688],[581,1651,1653,1721],{"className":1652},[692],[581,1654,1657,1670,1681],{"className":1655,"style":1656},[696],"height:1.4911em;",[581,1658,1660,1664],{"style":1659},"top:-2.314em;",[581,1661],{"className":1662,"style":1663},[704],"height:3em;",[581,1665,1667],{"className":1666},[674],[581,1668,1423],{"className":1669},[674],[581,1671,1673,1676],{"style":1672},"top:-3.23em;",[581,1674],{"className":1675,"style":1663},[704],[581,1677],{"className":1678,"style":1680},[1679],"frac-line","border-bottom-width:0.04em;",[581,1682,1684,1687],{"style":1683},"top:-3.677em;",[581,1685],{"className":1686,"style":1663},[704],[581,1688,1690],{"className":1689},[674],[581,1691,1693,1696],{"className":1692},[674],[581,1694,616],{"className":1695},[674,678],[581,1697,1699],{"className":1698},[683],[581,1700,1702],{"className":1701},[687],[581,1703,1705],{"className":1704},[692],[581,1706,1709],{"className":1707,"style":1708},[696],"height:0.8141em;",[581,1710,1712,1715],{"style":1711},"top:-3.063em;margin-right:0.05em;",[581,1713],{"className":1714,"style":705},[704],[581,1716,1718],{"className":1717},[709,710,711,712],[581,1719,1423],{"className":1720},[674,712],[581,1722,720],{"className":1723},[719],[581,1725,1727],{"className":1726},[692],[581,1728,1731],{"className":1729,"style":1730},[696],"height:0.686em;",[581,1732],{},[581,1734],{"className":1735},[740,1643],[581,1737,1739],{"className":1738,"style":1026},[740,1025],[581,1740,975],{"className":1741},[1636,711],[581,1743,1745],{"className":1744},[683],[581,1746,1748,1782],{"className":1747},[687,688],[581,1749,1751,1779],{"className":1750},[692],[581,1752,1755,1767],{"className":1753,"style":1754},[696],"height:1.6951em;",[581,1756,1758,1761],{"style":1757},"top:-1.7003em;margin-right:0.05em;",[581,1759],{"className":1760,"style":705},[704],[581,1762,1764],{"className":1763},[709,710,711,712],[581,1765,1420],{"className":1766},[674,712],[581,1768,1770,1773],{"style":1769},"top:-3.944em;margin-right:0.05em;",[581,1771],{"className":1772,"style":705},[704],[581,1774,1776],{"className":1775},[709,710,711,712],[581,1777,1423],{"className":1778},[674,712],[581,1780,720],{"className":1781},[719],[581,1783,1785],{"className":1784},[692],[581,1786,1789],{"className":1787,"style":1788},[696],"height:0.9997em;",[581,1790],{},[581,1792],{"className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negativen Grenzen hilft es, Klammern zu setzen:",[581,2058,2060],{"className":2059},[1399],[581,2061,2063,2190],{"className":2062},[584],[581,2064,2066],{"className":2065},[588],[590,2067,2068],{"xmlns":592,"display":1408},[594,2069,2070,2187],{},[597,2071,2072,2084,2086,2088,2090,2093,2095,2097,2099,2101,2103,2105,2131,2133,2135,2138,2140,2142,2144,2146,2149,2151,2153,2155,2161,2163,2165,2167,2169,2171,2173,2175,2178,2180,2183,2185],{},[624,2073,2074,2076,2082],{},[610,2075,628],{},[597,2077,2078,2080],{},[610,2079,993],{},[1418,2081,1420],{},[1418,2083,1431],{},[610,2085,613],{"stretchy":612},[1418,2087,1431],{},[603,2089,616],{},[610,2091,2092],{},"+",[1418,2094,1420],{},[610,2096,619],{"stretchy":612},[644,2098,646],{},[603,2100,649],{},[603,2102,616],{},[610,2104,622],{},[624,2106,2107,2123,2129],{},[597,2108,2109,2111,2117,2119,2121],{},[610,2110,964],{"fence":661},[1425,2112,2113,2115],{},[603,2114,616],{},[1418,2116,1431],{},[610,2118,2092],{},[603,2120,616],{},[610,2122,975],{"fence":661},[597,2124,2125,2127],{},[610,2126,993],{},[1418,2128,1420],{},[1418,2130,1431],{},[610,2132,622],{},[610,2134,613],{"stretchy":612},[1418,2136,2137],{},"4",[610,2139,2092],{},[1418,2141,1431],{},[610,2143,619],{"stretchy":612},[610,2145,993],{},[610,2147,613],{"fence":612,"stretchy":661,"minsize":2148,"maxsize":2148},"1.2em",[610,2150,613],{"stretchy":612},[610,2152,993],{},[1418,2154,1420],{},[1425,2156,2157,2159],{},[610,2158,619],{"stretchy":612},[1418,2160,1431],{},[610,2162,2092],{},[610,2164,613],{"stretchy":612},[610,2166,993],{},[1418,2168,1420],{},[610,2170,619],{"stretchy":612},[610,2172,619],{"fence":612,"stretchy":661,"minsize":2148,"maxsize":2148},[610,2174,622],{},[1418,2176,2177],{},"6",[610,2179,993],{},[1418,2181,2182],{},"0",[610,2184,622],{},[1418,2186,2177],{},[653,2188,2189],{"encoding":655},"\\int_{-1}^{2} (2x + 1) \\, dx = \\left[x^2 + x\\right]_{-1}^{2} = (4 + 2) - \\big((-1)^2 + (-1)\\big) = 6 - 0 = 6",[581,2191,2193,2279,2309,2443,2464,2485,2545,2579,2598,2617],{"className":2192,"ariaHidden":661},[660],[581,2194,2196,2200,2261,2264,2267,2270,2273,2276],{"className":2195},[665],[581,2197],{"className":2198,"style":2199},[669],"height:2.5343em;vertical-align:-0.9703em;",[581,2201,2203,2206],{"className":2202},[763],[581,2204,628],{"className":2205,"style":1515},[763,767,1514],[581,2207,2209],{"className":2208},[683],[581,2210,2212,2252],{"className":2211},[687,688],[581,2213,2215,2249],{"className":2214},[692],[581,2216,2218,2235],{"className":2217,"style":1528},[696],[581,2219,2220,2223],{"style":1531},[581,2221],{"className":2222,"style":705},[704],[581,2224,2226],{"className":2225},[709,710,711,712],[581,2227,2229,2232],{"className":2228},[674,712],[581,2230,993],{"className":2231},[674,712],[581,2233,1420],{"className":2234},[674,712],[581,2236,2237,2240],{"style":1543},[581,2238],{"className":2239,"style":705},[704],[581,2241,2243],{"className":2242},[709,710,711,712],[581,2244,2246],{"className":2245},[674,712],[581,2247,1431],{"className":2248},[674,712],[581,2250,720],{"className":2251},[719],[581,2253,2255],{"className":2254},[692],[581,2256,2259],{"className":2257,"style":2258},[696],"height:0.9703em;",[581,2260],{},[581,2262,613],{"className":2263},[733],[581,2265,1431],{"className":2266},[674],[581,2268,616],{"className":2269},[674,678],[581,2271],{"className":2272,"style":1121},[744],[581,2274,2092],{"className":2275},[1125],[581,2277],{"className":2278,"style":1121},[744],[581,2280,2282,2285,2288,2291,2294,2297,2300,2303,2306],{"className":2281},[665],[581,2283],{"className":2284,"style":670},[669],[581,2286,1420],{"className":2287},[674],[581,2289,619],{"className":2290},[740],[581,2292],{"className":2293,"style":822},[744],[581,2295,649],{"className":2296},[674,678],[581,2298,616],{"className":2299},[674,678],[581,2301],{"className":2302,"style":745},[744],[581,2304,622],{"className":2305},[749],[581,2307],{"className":2308,"style":745},[744],[581,2310,2312,2316,2434,2437,2440],{"className":2311},[665],[581,2313],{"className":2314,"style":2315},[669],"height:1.5262em;vertical-align:-0.458em;",[581,2317,2319,2376],{"className":2318},[1018],[581,2320,2322,2329,2358,2361,2364,2367,2370],{"className":2321},[1018],[581,2323,2325],{"className":2324,"style":1026},[733,1025],[581,2326,964],{"className":2327},[1636,2328],"size1",[581,2330,2332,2335],{"className":2331},[674],[581,2333,616],{"className":2334},[674,678],[581,2336,2338],{"className":2337},[683],[581,2339,2341],{"className":2340},[687],[581,2342,2344],{"className":2343},[692],[581,2345,2347],{"className":2346,"style":1586},[696],[581,2348,2349,2352],{"style":1589},[581,2350],{"className":2351,"style":705},[704],[581,2353,2355],{"className":2354},[709,710,711,712],[581,2356,1431],{"className":2357},[674,712],[581,2359],{"className":2360,"style":1121},[744],[581,2362,2092],{"className":2363},[1125],[581,2365],{"className":2366,"style":1121},[744],[581,2368,616],{"className":2369},[674,678],[581,2371,2373],{"className":2372,"style":1026},[740,1025],[581,2374,975],{"className":2375},[1636,2328],[581,2377,2379],{"className":2378},[683],[581,2380,2382,2425],{"className":2381},[687,688],[581,2383,2385,2422],{"className":2384},[692],[581,2386,2389,2407],{"className":2387,"style":2388},[696],"height:1.0681em;",[581,2390,2392,2395],{"style":2391},"top:-2.3003em;margin-right:0.05em;",[581,2393],{"className":2394,"style":705},[704],[581,2396,2398],{"className":2397},[709,710,711,712],[581,2399,2401,2404],{"className":2400},[674,712],[581,2402,993],{"className":2403},[674,712],[581,2405,1420],{"className":2406},[674,712],[581,2408,2410,2413],{"style":2409},"top:-3.317em;margin-right:0.05em;",[581,2411],{"className":2412,"style":705},[704],[581,2414,2416],{"className":2415},[709,710,711,712],[581,2417,2419],{"className":2418},[674,712],[581,2420,1431],{"className":2421},[674,712],[581,2423,720],{"className":2424},[719],[581,2426,2428],{"className":2427},[692],[581,2429,2432],{"className":2430,"style":2431},[696],"height:0.458em;",[581,2433],{},[581,2435],{"className":2436,"style":745},[744],[581,2438,622],{"className":2439},[749],[581,2441],{"className":2442,"style":745},[744],[581,2444,2446,2449,2452,2455,2458,2461],{"className":2445},[665],[581,2447],{"className":2448,"style":670},[669],[581,2450,613],{"className":2451},[733],[581,2453,2137],{"className":2454},[674],[581,2456],{"className":2457,"style":1121},[744],[581,2459,2092],{"className":2460},[1125],[581,2462],{"className":2463,"style":1121},[744],[581,2465,2467,2470,2473,2476,2479,2482],{"className":2466},[665],[581,2468],{"className":2469,"style":670},[669],[581,2471,1431],{"className":2472},[674],[581,2474,619],{"className":2475},[740],[581,2477],{"className":2478,"style":1121},[744],[581,2480,993],{"className":2481},[1125],[581,2483],{"className":2484,"style":1121},[744],[581,2486,2488,2492,2498,2501,2504,2507,2536,2539,2542],{"className":2487},[665],[581,2489],{"className":2490,"style":2491},[669],"height:1.2141em;vertical-align:-0.35em;",[581,2493,2495],{"className":2494},[674],[581,2496,613],{"className":2497},[1636,2328],[581,2499,613],{"className":2500},[733],[581,2502,993],{"className":2503},[674],[581,2505,1420],{"className":2506},[674],[581,2508,2510,2513],{"className":2509},[740],[581,2511,619],{"className":2512},[740],[581,2514,2516],{"className":2515},[683],[581,2517,2519],{"className":2518},[687],[581,2520,2522],{"className":2521},[692],[581,2523,2525],{"className":2524,"style":1586},[696],[581,2526,2527,2530],{"style":1589},[581,2528],{"className":2529,"style":705},[704],[581,2531,2533],{"className":2532},[709,710,711,712],[581,2534,1431],{"className":2535},[674,712],[581,2537],{"className":2538,"style":1121},[744],[581,2540,2092],{"className":2541},[1125],[581,2543],{"className":2544,"style":1121},[744],[581,2546,2548,2552,2555,2558,2561,2564,2570,2573,2576],{"className":2547},[665],[581,2549],{"className":2550,"style":2551},[669],"height:1.2em;vertical-align:-0.35em;",[581,2553,613],{"className":2554},[733],[581,2556,993],{"className":2557},[674],[581,2559,1420],{"className":2560},[674],[581,2562,619],{"className":2563},[740],[581,2565,2567],{"className":2566},[674],[581,2568,619],{"className":2569},[1636,2328],[581,2571],{"className":2572,"style":745},[744],[581,2574,622],{"className":2575},[749],[581,2577],{"className":2578,"style":745},[744],[581,2580,2582,2586,2589,2592,2595],{"className":2581},[665],[581,2583],{"className":2584,"style":2585},[669],"height:0.7278em;vertical-align:-0.0833em;",[581,2587,2177],{"className":2588},[674],[581,2590],{"className":2591,"style":1121},[744],[581,2593,993],{"className":2594},[1125],[581,2596],{"className":2597,"style":1121},[744],[581,2599,2601,2605,2608,2611,2614],{"className":2600},[665],[581,2602],{"className":2603,"style":2604},[669],"height:0.6444em;",[581,2606,2182],{"className":2607},[674],[581,2609],{"className":2610,"style":745},[744],[581,2612,622],{"className":2613},[749],[581,2615],{"className":2616,"style":745},[744],[581,2618,2620,2623],{"className":2619},[665],[581,2621],{"className":2622,"style":2604},[669],[581,2624,2177],{"className":2625},[674],[565,2627,2628,2629,2657],{},"Eine Flächenbilanz von ",[581,2630,2632,2645],{"className":2631},[584],[581,2633,2635],{"className":2634},[588],[590,2636,2637],{"xmlns":592},[594,2638,2639,2643],{},[597,2640,2641],{},[1418,2642,2182],{},[653,2644,2182],{"encoding":655},[581,2646,2648],{"className":2647,"ariaHidden":661},[660],[581,2649,2651,2654],{"className":2650},[665],[581,2652],{"className":2653,"style":2604},[669],[581,2655,2182],{"className":2656},[674]," heißt nicht, dass keine Fläche da ist:",[581,2659,2661],{"className":2660},[1399],[581,2662,2664,2748],{"className":2663},[584],[581,2665,2667],{"className":2666},[588],[590,2668,2669],{"xmlns":592,"display":1408},[594,2670,2671,2745],{},[597,2672,2673,2685,2691,2693,2695,2697,2699,2725,2727,2733,2735,2741,2743],{},[624,2674,2675,2677,2683],{},[610,2676,628],{},[597,2678,2679,2681],{},[610,2680,993],{},[1418,2682,1420],{},[1418,2684,1420],{},[1425,2686,2687,2689],{},[603,2688,616],{},[1418,2690,1423],{},[644,2692,646],{},[603,2694,649],{},[603,2696,616],{},[610,2698,622],{},[624,2700,2701,2717,2723],{},[597,2702,2703,2705,2715],{},[610,2704,964],{"fence":661},[1447,2706,2707,2713],{},[1425,2708,2709,2711],{},[603,2710,616],{},[1418,2712,2137],{},[1418,2714,2137],{},[610,2716,975],{"fence":661},[597,2718,2719,2721],{},[610,2720,993],{},[1418,2722,1420],{},[1418,2724,1420],{},[610,2726,622],{},[1447,2728,2729,2731],{},[1418,2730,1420],{},[1418,2732,2137],{},[610,2734,993],{},[1447,2736,2737,2739],{},[1418,2738,1420],{},[1418,2740,2137],{},[610,2742,622],{},[1418,2744,2182],{},[653,2746,2747],{"encoding":655},"\\int_{-1}^{1} x^3 \\, dx = \\left[\\frac{x^4}{4}\\right]_{-1}^{1} = \\frac{1}{4} - \\frac{1}{4} = 0",[581,2749,2751,2867,3044,3121,3198],{"className":2750,"ariaHidden":661},[660],[581,2752,2754,2757,2817,2820,2849,2852,2855,2858,2861,2864],{"className":2753},[665],[581,2755],{"className":2756,"style":2199},[669],[581,2758,2760,2763],{"className":2759},[763],[581,2761,628],{"className":2762,"style":1515},[763,767,1514],[581,2764,2766],{"className":2765},[683],[581,2767,2769,2809],{"className":2768},[687,688],[581,2770,2772,2806],{"className":2771},[692],[581,2773,2775,2792],{"className":2774,"style":1528},[696],[581,2776,2777,2780],{"style":1531},[581,2778],{"className":2779,"style":705},[704],[581,2781,2783],{"className":2782},[709,710,711,712],[581,2784,2786,2789],{"className":2785},[674,712],[581,2787,993],{"className":2788},[674,712],[581,2790,1420],{"className":2791},[674,712],[581,2793,2794,2797],{"style":1543},[581,2795],{"className":2796,"style":705},[704],[581,2798,2800],{"className":2799},[709,710,711,712],[581,2801,2803],{"className":2802},[674,712],[581,2804,1420],{"className":2805},[674,712],[581,2807,720],{"className":2808},[719],[581,2810,2812],{"className":2811},[692],[581,2813,2815],{"className":2814,"style":2258},[696],[581,2816],{},[581,2818],{"className":2819,"style":822},[744],[581,2821,2823,2826],{"className":2822},[674],[581,2824,616],{"className":2825},[674,678],[581,2827,2829],{"className":2828},[683],[581,2830,2832],{"className":2831},[687],[581,2833,2835],{"className":2834},[692],[581,2836,2838],{"className":2837,"style":1586},[696],[581,2839,2840,2843],{"style":1589},[581,2841],{"className":2842,"style":705},[704],[581,2844,2846],{"className":2845},[709,710,711,712],[581,2847,1423],{"className":2848},[674,712],[581,2850],{"className":2851,"style":822},[744],[581,2853,649],{"className":2854},[674,678],[581,2856,616],{"className":2857},[674,678],[581,2859],{"className":2860,"style":745},[744],[581,2862,622],{"className":2863},[749],[581,2865],{"className":2866,"style":745},[744],[581,2868,2870,2874,3035,3038,3041],{"className":2869},[665],[581,2871],{"className":2872,"style":2873},[669],"height:2.7532em;vertical-align:-1.0581em;",[581,2875,2877,2980],{"className":2876},[1018],[581,2878,2880,2886,2974],{"className":2879},[1018],[581,2881,2883],{"className":2882,"style":1026},[733,1025],[581,2884,964],{"className":2885},[1636,711],[581,2887,2889,2892,2971],{"className":2888},[674],[581,2890],{"className":2891},[733,1643],[581,2893,2895],{"className":2894},[1447],[581,2896,2898,2963],{"className":2897},[687,688],[581,2899,2901,2960],{"className":2900},[692],[581,2902,2904,2915,2923],{"className":2903,"style":1656},[696],[581,2905,2906,2909],{"style":1659},[581,2907],{"className":2908,"style":1663},[704],[581,2910,2912],{"className":2911},[674],[581,2913,2137],{"className":2914},[674],[581,2916,2917,2920],{"style":1672},[581,2918],{"className":2919,"style":1663},[704],[581,2921],{"className":2922,"style":1680},[1679],[581,2924,2925,2928],{"style":1683},[581,2926],{"className":2927,"style":1663},[704],[581,2929,2931],{"className":2930},[674],[581,2932,2934,2937],{"className":2933},[674],[581,2935,616],{"className":2936},[674,678],[581,2938,2940],{"className":2939},[683],[581,2941,2943],{"className":2942},[687],[581,2944,2946],{"className":2945},[692],[581,2947,2949],{"className":2948,"style":1708},[696],[581,2950,2951,2954],{"style":1711},[581,2952],{"className":2953,"style":705},[704],[581,2955,2957],{"className":2956},[709,710,711,712],[581,2958,2137],{"className":2959},[674,712],[581,2961,720],{"className":2962},[719],[581,2964,2966],{"className":2965},[692],[581,2967,2969],{"className":2968,"style":1730},[696],[581,2970],{},[581,2972],{"className":2973},[740,1643],[581,2975,2977],{"className":2976,"style":1026},[740,1025],[581,2978,975],{"className":2979},[1636,711],[581,2981,2983],{"className":2982},[683],[581,2984,2986,3026],{"className":2985},[687,688],[581,2987,2989,3023],{"className":2988},[692],[581,2990,2992,3009],{"className":2991,"style":1754},[696],[581,2993,2994,2997],{"style":1757},[581,2995],{"className":2996,"style":705},[704],[581,2998,3000],{"className":2999},[709,710,711,712],[581,3001,3003,3006],{"className":3002},[674,712],[581,3004,993],{"className":3005},[674,712],[581,3007,1420],{"className":3008},[674,712],[581,3010,3011,3014],{"style":1769},[581,3012],{"className":3013,"style":705},[704],[581,3015,3017],{"className":3016},[709,710,711,712],[581,3018,3020],{"className":3019},[674,712],[581,3021,1420],{"className":3022},[674,712],[581,3024,720],{"className":3025},[719],[581,3027,3029],{"className":3028},[692],[581,3030,3033],{"className":3031,"style":3032},[696],"height:1.0581em;",[581,3034],{},[581,3036],{"className":3037,"style":745},[744],[581,3039,622],{"className":3040},[749],[581,3042],{"className":3043,"style":745},[744],[581,3045,3047,3050,3112,3115,3118],{"className":3046},[665],[581,3048],{"className":3049,"style":1806},[669],[581,3051,3053,3056,3109],{"className":3052},[674],[581,3054],{"className":3055},[733,1643],[581,3057,3059],{"className":3058},[1447],[581,3060,3062,3101],{"className":3061},[687,688],[581,3063,3065,3098],{"className":3064},[692],[581,3066,3068,3079,3087],{"className":3067,"style":1825},[696],[581,3069,3070,3073],{"style":1659},[581,3071],{"className":3072,"style":1663},[704],[581,3074,3076],{"className":3075},[674],[581,3077,2137],{"className":3078},[674],[581,3080,3081,3084],{"style":1672},[581,3082],{"className":3083,"style":1663},[704],[581,3085],{"className":3086,"style":1680},[1679],[581,3088,3089,3092],{"style":1683},[581,3090],{"className":3091,"style":1663},[704],[581,3093,3095],{"className":3094},[674],[581,3096,1420],{"className":3097},[674],[581,3099,720],{"className":3100},[719],[581,3102,3104],{"className":3103},[692],[581,3105,3107],{"className":3106,"style":1730},[696],[581,3108],{},[581,3110],{"className":3111},[740,1643],[581,3113],{"className":3114,"style":1121},[744],[581,3116,993],{"className":3117},[1125],[581,3119],{"className":3120,"style":1121},[744],[581,3122,3124,3127,3189,3192,3195],{"className":3123},[665],[581,3125],{"className":3126,"style":1806},[669],[581,3128,3130,3133,3186],{"className":3129},[674],[581,3131],{"className":3132},[733,1643],[581,3134,3136],{"className":3135},[1447],[581,3137,3139,3178],{"className":3138},[687,688],[581,3140,3142,3175],{"className":3141},[692],[581,3143,3145,3156,3164],{"className":3144,"style":1825},[696],[581,3146,3147,3150],{"style":1659},[581,3148],{"className":3149,"style":1663},[704],[581,3151,3153],{"className":3152},[674],[581,3154,2137],{"className":3155},[674],[581,3157,3158,3161],{"style":1672},[581,3159],{"className":3160,"style":1663},[704],[581,3162],{"className":3163,"style":1680},[1679],[581,3165,3166,3169],{"style":1683},[581,3167],{"className":3168,"style":1663},[704],[581,3170,3172],{"className":3171},[674],[581,3173,1420],{"className":3174},[674],[581,3176,720],{"className":3177},[719],[581,3179,3181],{"className":3180},[692],[581,3182,3184],{"className":3183,"style":1730},[696],[581,3185],{},[581,3187],{"className":3188},[740,1643],[581,3190],{"className":3191,"style":745},[744],[581,3193,622],{"className":3194},[749],[581,3196],{"className":3197,"style":745},[744],[581,3199,3201,3204],{"className":3200},[665],[581,3202],{"className":3203,"style":2604},[669],[581,3205,2182],{"className":3206},[674],[565,3208,3209,3210,3238],{},"Die Fläche unter der ",[581,3211,3213,3226],{"className":3212},[584],[581,3214,3216],{"className":3215},[588],[590,3217,3218],{"xmlns":592},[594,3219,3220,3224],{},[597,3221,3222],{},[603,3223,616],{},[653,3225,616],{"encoding":655},[581,3227,3229],{"className":3228,"ariaHidden":661},[660],[581,3230,3232,3235],{"className":3231},[665],[581,3233],{"className":3234,"style":1303},[669],[581,3236,616],{"className":3237},[674,678],"-Achse hebt hier genau die Fläche darüber auf.",[560,3240,3242],{"id":3241},"typische-fehler","Typische Fehler",[569,3244,3245,3438,3470,3663],{},[572,3246,3247,3248,3329,3330,904],{},"Grenzen vertauschen: ",[581,3249,3251,3281],{"className":3250},[584],[581,3252,3254],{"className":3253},[588],[590,3255,3256],{"xmlns":592},[594,3257,3258,3278],{},[597,3259,3260,3262,3264,3266,3268,3270,3272,3274,3276],{},[603,3261,926],{},[610,3263,613],{"stretchy":612},[603,3265,608],{},[610,3267,619],{"stretchy":612},[610,3269,993],{},[603,3271,926],{},[610,3273,613],{"stretchy":612},[603,3275,980],{},[610,3277,619],{"stretchy":612},[653,3279,3280],{"encoding":655},"F(a) - F(b)",[581,3282,3284,3311],{"className":3283,"ariaHidden":661},[660],[581,3285,3287,3290,3293,3296,3299,3302,3305,3308],{"className":3286},[665],[581,3288],{"className":3289,"style":670},[669],[581,3291,926],{"className":3292,"style":942},[674,678],[581,3294,613],{"className":3295},[733],[581,3297,608],{"className":3298},[674,678],[581,3300,619],{"className":3301},[740],[581,3303],{"className":3304,"style":1121},[744],[581,3306,993],{"className":3307},[1125],[581,3309],{"className":3310,"style":1121},[744],[581,3312,3314,3317,3320,3323,3326],{"className":3313},[665],[581,3315],{"className":3316,"style":670},[669],[581,3318,926],{"className":3319,"style":942},[674,678],[581,3321,613],{"className":3322},[733],[581,3324,980],{"className":3325},[674,678],[581,3327,619],{"className":3328},[740]," liefert das Ergebnis mit falschem Vorzeichen, im ersten Beispiel ",[581,3331,3333,3353],{"className":3332},[584],[581,3334,3336],{"className":3335},[588],[590,3337,3338],{"xmlns":592},[594,3339,3340,3350],{},[597,3341,3342,3344],{},[610,3343,993],{},[1447,3345,3346,3348],{},[1418,3347,1486],{},[1418,3349,1423],{},[653,3351,3352],{"encoding":655},"-\\frac{26}{3}",[581,3354,3356],{"className":3355,"ariaHidden":661},[660],[581,3357,3359,3363,3366],{"className":3358},[665],[581,3360],{"className":3361,"style":3362},[669],"height:1.1901em;vertical-align:-0.345em;",[581,3364,993],{"className":3365},[674],[581,3367,3369,3372,3435],{"className":3368},[674],[581,3370],{"className":3371},[733,1643],[581,3373,3375],{"className":3374},[1447],[581,3376,3378,3426],{"className":3377},[687,688],[581,3379,3381,3423],{"className":3380},[692],[581,3382,3385,3400,3408],{"className":3383,"style":3384},[696],"height:0.8451em;",[581,3386,3388,3391],{"style":3387},"top:-2.655em;",[581,3389],{"className":3390,"style":1663},[704],[581,3392,3394],{"className":3393},[709,710,711,712],[581,3395,3397],{"className":3396},[674,712],[581,3398,1423],{"className":3399},[674,712],[581,3401,3402,3405],{"style":1672},[581,3403],{"className":3404,"style":1663},[704],[581,3406],{"className":3407,"style":1680},[1679],[581,3409,3411,3414],{"style":3410},"top:-3.394em;",[581,3412],{"className":3413,"style":1663},[704],[581,3415,3417],{"className":3416},[709,710,711,712],[581,3418,3420],{"className":3419},[674,712],[581,3421,1486],{"className":3422},[674,712],[581,3424,720],{"className":3425},[719],[581,3427,3429],{"className":3428},[692],[581,3430,3433],{"className":3431,"style":3432},[696],"height:0.345em;",[581,3434],{},[581,3436],{"className":3437},[740,1643],[572,3439,3440,3441,3469],{},"Das Integral als Fläche ausgeben, obwohl ",[581,3442,3444,3457],{"className":3443},[584],[581,3445,3447],{"className":3446},[588],[590,3448,3449],{"xmlns":592},[594,3450,3451,3455],{},[597,3452,3453],{},[603,3454,635],{},[653,3456,635],{"encoding":655},[581,3458,3460],{"className":3459,"ariaHidden":661},[660],[581,3461,3463,3466],{"className":3462},[665],[581,3464],{"className":3465,"style":871},[669],[581,3467,635],{"className":3468,"style":826},[674,678]," im Intervall das Vorzeichen wechselt. Für die Fläche muss man an den Nullstellen aufteilen.",[572,3471,3472,3473,3570,3571,904],{},"Beim Einsetzen negativer Grenzen die Klammern vergessen: ",[581,3474,3476,3504],{"className":3475},[584],[581,3477,3479],{"className":3478},[588],[590,3480,3481],{"xmlns":592},[594,3482,3483,3501],{},[597,3484,3485,3487,3489,3491,3497,3499],{},[610,3486,613],{"stretchy":612},[610,3488,993],{},[1418,3490,1420],{},[1425,3492,3493,3495],{},[610,3494,619],{"stretchy":612},[1418,3496,1431],{},[610,3498,622],{},[1418,3500,1420],{},[653,3502,3503],{"encoding":655},"(-1)^2 = 1",[581,3505,3507,3561],{"className":3506,"ariaHidden":661},[660],[581,3508,3510,3514,3517,3520,3523,3552,3555,3558],{"className":3509},[665],[581,3511],{"className":3512,"style":3513},[669],"height:1.0641em;vertical-align:-0.25em;",[581,3515,613],{"className":3516},[733],[581,3518,993],{"className":3519},[674],[581,3521,1420],{"className":3522},[674],[581,3524,3526,3529],{"className":3525},[740],[581,3527,619],{"className":3528},[740],[581,3530,3532],{"className":3531},[683],[581,3533,3535],{"className":3534},[687],[581,3536,3538],{"className":3537},[692],[581,3539,3541],{"className":3540,"style":1708},[696],[581,3542,3543,3546],{"style":1711},[581,3544],{"className":3545,"style":705},[704],[581,3547,3549],{"className":3548},[709,710,711,712],[581,3550,1431],{"className":3551},[674,712],[581,3553],{"className":3554,"style":745},[744],[581,3556,622],{"className":3557},[749],[581,3559],{"className":3560,"style":745},[744],[581,3562,3564,3567],{"className":3563},[665],[581,3565],{"className":3566,"style":2604},[669],[581,3568,1420],{"className":3569},[674],", aber ",[581,3572,3574,3600],{"className":3573},[584],[581,3575,3577],{"className":3576},[588],[590,3578,3579],{"xmlns":592},[594,3580,3581,3597],{},[597,3582,3583,3585,3591,3593,3595],{},[610,3584,993],{},[1425,3586,3587,3589],{},[1418,3588,1420],{},[1418,3590,1431],{},[610,3592,622],{},[610,3594,993],{},[1418,3596,1420],{},[653,3598,3599],{"encoding":655},"-1^2 = -1",[581,3601,3603,3651],{"className":3602,"ariaHidden":661},[660],[581,3604,3606,3610,3613,3642,3645,3648],{"className":3605},[665],[581,3607],{"className":3608,"style":3609},[669],"height:0.8974em;vertical-align:-0.0833em;",[581,3611,993],{"className":3612},[674],[581,3614,3616,3619],{"className":3615},[674],[581,3617,1420],{"className":3618},[674],[581,3620,3622],{"className":3621},[683],[581,3623,3625],{"className":3624},[687],[581,3626,3628],{"className":3627},[692],[581,3629,3631],{"className":3630,"style":1708},[696],[581,3632,3633,3636],{"style":1711},[581,3634],{"className":3635,"style":705},[704],[581,3637,3639],{"className":3638},[709,710,711,712],[581,3640,1431],{"className":3641},[674,712],[581,3643],{"className":3644,"style":745},[744],[581,3646,622],{"className":3647},[749],[581,3649],{"className":3650,"style":745},[744],[581,3652,3654,3657,3660],{"className":3653},[665],[581,3655],{"className":3656,"style":2585},[669],[581,3658,993],{"className":3659},[674],[581,3661,1420],{"className":3662},[674],[572,3664,3665,3666,3694,3695,3920],{},"Den Hauptsatz anwenden, obwohl ",[581,3667,3669,3682],{"className":3668},[584],[581,3670,3672],{"className":3671},[588],[590,3673,3674],{"xmlns":592},[594,3675,3676,3680],{},[597,3677,3678],{},[603,3679,635],{},[653,3681,635],{"encoding":655},[581,3683,3685],{"className":3684,"ariaHidden":661},[660],[581,3686,3688,3691],{"className":3687},[665],[581,3689],{"className":3690,"style":871},[669],[581,3692,635],{"className":3693,"style":826},[674,678]," im Intervall nicht definiert ist, z.B. ",[581,3696,3698,3738],{"className":3697},[584],[581,3699,3701],{"className":3700},[588],[590,3702,3703],{"xmlns":592},[594,3704,3705,3735],{},[597,3706,3707,3719,3729,3731,3733],{},[624,3708,3709,3711,3717],{},[610,3710,628],{},[597,3712,3713,3715],{},[610,3714,993],{},[1418,3716,1420],{},[1418,3718,1420],{},[1447,3720,3721,3723],{},[1418,3722,1420],{},[1425,3724,3725,3727],{},[603,3726,616],{},[1418,3728,1431],{},[644,3730,646],{},[603,3732,649],{},[603,3734,616],{},[653,3736,3737],{"encoding":655},"\\int_{-1}^{1} \\frac{1}{x^2}\\,dx",[581,3739,3741],{"className":3740,"ariaHidden":661},[660],[581,3742,3744,3748,3810,3813,3911,3914,3917],{"className":3743},[665],[581,3745],{"className":3746,"style":3747},[669],"height:1.4232em;vertical-align:-0.4142em;",[581,3749,3751,3754],{"className":3750},[763],[581,3752,628],{"className":3753,"style":769},[763,767,768],[581,3755,3757],{"className":3756},[683],[581,3758,3760,3801],{"className":3759},[687,688],[581,3761,3763,3798],{"className":3762},[692],[581,3764,3767,3784],{"className":3765,"style":3766},[696],"height:1.009em;",[581,3768,3769,3772],{"style":785},[581,3770],{"className":3771,"style":705},[704],[581,3773,3775],{"className":3774},[709,710,711,712],[581,3776,3778,3781],{"className":3777},[674,712],[581,3779,993],{"className":3780},[674,712],[581,3782,1420],{"className":3783},[674,712],[581,3785,3786,3789],{"style":797},[581,3787],{"className":3788,"style":705},[704],[581,3790,3792],{"className":3791},[709,710,711,712],[581,3793,3795],{"className":3794},[674,712],[581,3796,1420],{"className":3797},[674,712],[581,3799,720],{"className":3800},[719],[581,3802,3804],{"className":3803},[692],[581,3805,3808],{"className":3806,"style":3807},[696],"height:0.4142em;",[581,3809],{},[581,3811],{"className":3812,"style":822},[744],[581,3814,3816,3819,3908],{"className":3815},[674],[581,3817],{"className":3818},[733,1643],[581,3820,3822],{"className":3821},[1447],[581,3823,3825,3900],{"className":3824},[687,688],[581,3826,3828,3897],{"className":3827},[692],[581,3829,3831,3875,3883],{"className":3830,"style":3384},[696],[581,3832,3833,3836],{"style":3387},[581,3834],{"className":3835,"style":1663},[704],[581,3837,3839],{"className":3838},[709,710,711,712],[581,3840,3842],{"className":3841},[674,712],[581,3843,3845,3848],{"className":3844},[674,712],[581,3846,616],{"className":3847},[674,678,712],[581,3849,3851],{"className":3850},[683],[581,3852,3854],{"className":3853},[687],[581,3855,3857],{"className":3856},[692],[581,3858,3861],{"className":3859,"style":3860},[696],"height:0.7463em;",[581,3862,3864,3868],{"style":3863},"top:-2.786em;margin-right:0.0714em;",[581,3865],{"className":3866,"style":3867},[704],"height:2.5em;",[581,3869,3872],{"className":3870},[709,3871,2328,712],"reset-size3",[581,3873,1431],{"className":3874},[674,712],[581,3876,3877,3880],{"style":1672},[581,3878],{"className":3879,"style":1663},[704],[581,3881],{"className":3882,"style":1680},[1679],[581,3884,3885,3888],{"style":3410},[581,3886],{"className":3887,"style":1663},[704],[581,3889,3891],{"className":3890},[709,710,711,712],[581,3892,3894],{"className":3893},[674,712],[581,3895,1420],{"className":3896},[674,712],[581,3898,720],{"className":3899},[719],[581,3901,3903],{"className":3902},[692],[581,3904,3906],{"className":3905,"style":3432},[696],[581,3907],{},[581,3909],{"className":3910},[740,1643],[581,3912],{"className":3913,"style":822},[744],[581,3915,649],{"className":3916},[674,678],[581,3918,616],{"className":3919},[674,678],". Das ist ein uneigentliches Integral und divergiert.",{"title":3922,"searchDepth":3923,"depth":3923,"links":3924},"",2,[3925,3926,3927],{"id":562,"depth":3923,"text":563},{"id":1394,"depth":3923,"text":1395},{"id":3241,"depth":3923,"text":3242},[3929,3932,3935,3938,3941,3943,3945,3947],{"lhs":3930,"rhs":3931},"(v^3\u002F3 + q) - (u^3\u002F3 + q)","v^3\u002F3 - u^3\u002F3",{"lhs":3933,"rhs":3934},"3^3\u002F3 - 1^3\u002F3","26\u002F3",{"lhs":3936,"rhs":3937},"round(26\u002F3, 2)","8.67",{"lhs":3939,"rhs":3940},"round(sum(map(0:999, f(k) = (1 + (k + 0.5) * 2 \u002F 1000)^2)) * 2 \u002F 1000, 4)","round(26\u002F3, 4)",{"lhs":3942,"rhs":2177},"(2^2 + 2) - ((-1)^2 + (-1))",{"lhs":3944,"rhs":2177},"round(sum(map(0:999, f(k) = 2 * (-1 + (k + 0.5) * 3 \u002F 1000) + 1)) * 3 \u002F 1000, 6)",{"lhs":3946,"rhs":2182},"1^4\u002F4 - (-1)^4\u002F4",{"lhs":3948,"rhs":3949},"1^3\u002F3 - 3^3\u002F3","-26\u002F3","f \\text{ stetig auf } [a, b],\\ F' = f","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath 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\">stetig 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 stretchy=\"false\">]\u003C\u002Fmo>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">[a, b],\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:1em;vertical-align:-0.25em;\">\u003C\u002Fspan>\u003Cspan class=\"mopen\">[\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">a\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">b\u003C\u002Fspan>\u003Cspan class=\"mclose\">]\u003C\u002Fspan>\u003Cspan class=\"mpunct\">,\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmsup>\u003Cmi>F\u003C\u002Fmi>\u003Cmo mathvariant=\"normal\" lspace=\"0em\" rspace=\"0em\">′\u003C\u002Fmo>\u003C\u002Fmsup>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>f\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">F' = 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:0.7519em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.1389em;\">F\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.7519em;\">\u003Cspan style=\"top:-3.063em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan 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