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g",[573,1139,1141,1159],{"className":1140,"ariaHidden":639},[638],[573,1142,1144,1147,1150,1153,1156],{"className":1143},[643],[573,1145],{"className":1146,"style":752},[647],[573,1148,611],{"className":1149,"style":686},[652,653],[573,1151],{"className":1152,"style":699},[668],[573,1154,620],{"className":1155},[703],[573,1157],{"className":1158,"style":699},[668],[573,1160,1162,1165],{"className":1161},[643],[573,1163],{"className":1164,"style":782},[647],[573,1166,623],{"className":1167,"style":716},[652,653]," integrieren.",[1026,1170,1171,1172,1175],{},"Die ",[568,1173,1174],{},"Beträge"," der Teilintegrale addieren.",[564,1177,1178,1179,1208],{},"Wo die Graphen sich schneiden, kann die obere Funktion zur unteren werden. Deshalb muss man an jeder Schnittstelle aufteilen. Ob die Graphen über oder unter der ",[573,1180,1182,1195],{"className":1181},[576],[573,1183,1185],{"className":1184},[580],[582,1186,1187],{"xmlns":584},[586,1188,1189,1193],{},[589,1190,1191],{},[592,1192,602],{},[631,1194,602],{"encoding":633},[573,1196,1198],{"className":1197,"ariaHidden":639},[638],[573,1199,1201,1205],{"className":1200},[643],[573,1202],{"className":1203,"style":1204},[647],"height:0.4306em;",[573,1206,602],{"className":1207},[652,653],"-Achse liegen, spielt dagegen keine Rolle.",[559,1210,1212],{"id":1211},"beispiele","Beispiele",[564,1214,1215,1216,1309,1310,1409,1410,1513,1514,1641,1642,1309,1700,1751],{},"Gesucht ist die Fläche zwischen ",[573,1217,1219,1250],{"className":1218},[576],[573,1220,1222],{"className":1221},[580],[582,1223,1224],{"xmlns":584},[586,1225,1226,1247],{},[589,1227,1228,1230,1232,1234,1236,1238,1240,1243],{},[592,1229,611],{},[596,1231,599],{"stretchy":598},[592,1233,602],{},[596,1235,605],{"stretchy":598},[596,1237,608],{},[592,1239,602],{},[596,1241,1242],{},"+",[1244,1245,1246],"mn",{},"2",[631,1248,1249],{"encoding":633},"f(x) = x + 2",[573,1251,1253,1280,1299],{"className":1252,"ariaHidden":639},[638],[573,1254,1256,1259,1262,1265,1268,1271,1274,1277],{"className":1255},[643],[573,1257],{"className":1258,"style":648},[647],[573,1260,611],{"className":1261,"style":686},[652,653],[573,1263,599],{"className":1264},[657],[573,1266,602],{"className":1267},[652,653],[573,1269,605],{"className":1270},[664],[573,1272],{"className":1273,"style":669},[668],[573,1275,608],{"className":1276},[673],[573,1278],{"className":1279,"style":669},[668],[573,1281,1283,1287,1290,1293,1296],{"className":1282},[643],[573,1284],{"className":1285,"style":1286},[647],"height:0.6667em;vertical-align:-0.0833em;",[573,1288,602],{"className":1289},[652,653],[573,1291],{"className":1292,"style":699},[668],[573,1294,1242],{"className":1295},[703],[573,1297],{"className":1298,"style":699},[668],[573,1300,1302,1306],{"className":1301},[643],[573,1303],{"className":1304,"style":1305},[647],"height:0.6444em;",[573,1307,1246],{"className":1308},[652]," und ",[573,1311,1313,1342],{"className":1312},[576],[573,1314,1316],{"className":1315},[580],[582,1317,1318],{"xmlns":584},[586,1319,1320,1339],{},[589,1321,1322,1324,1326,1328,1330,1332],{},[592,1323,623],{},[596,1325,599],{"stretchy":598},[592,1327,602],{},[596,1329,605],{"stretchy":598},[596,1331,608],{},[1333,1334,1335,1337],"msup",{},[592,1336,602],{},[1244,1338,1246],{},[631,1340,1341],{"encoding":633},"g(x) = x^2",[573,1343,1345,1372],{"className":1344,"ariaHidden":639},[638],[573,1346,1348,1351,1354,1357,1360,1363,1366,1369],{"className":1347},[643],[573,1349],{"className":1350,"style":648},[647],[573,1352,623],{"className":1353,"style":716},[652,653],[573,1355,599],{"className":1356},[657],[573,1358,602],{"className":1359},[652,653],[573,1361,605],{"className":1362},[664],[573,1364],{"className":1365,"style":669},[668],[573,1367,608],{"className":1368},[673],[573,1370],{"className":1371,"style":669},[668],[573,1373,1375,1379],{"className":1374},[643],[573,1376],{"className":1377,"style":1378},[647],"height:0.8141em;",[573,1380,1382,1385],{"className":1381},[652],[573,1383,602],{"className":1384},[652,653],[573,1386,1388],{"className":1387},[892],[573,1389,1391],{"className":1390},[896],[573,1392,1394],{"className":1393},[901],[573,1395,1397],{"className":1396,"style":1378},[905],[573,1398,1400,1403],{"style":1399},"top:-3.063em;margin-right:0.05em;",[573,1401],{"className":1402,"style":914},[913],[573,1404,1406],{"className":1405},[918,919,920,921],[573,1407,1246],{"className":1408},[652,921],". Aus ",[573,1411,1413,1439],{"className":1412},[576],[573,1414,1416],{"className":1415},[580],[582,1417,1418],{"xmlns":584},[586,1419,1420,1436],{},[589,1421,1422,1428,1430,1432,1434],{},[1333,1423,1424,1426],{},[592,1425,602],{},[1244,1427,1246],{},[596,1429,608],{},[592,1431,602],{},[596,1433,1242],{},[1244,1435,1246],{},[631,1437,1438],{"encoding":633},"x^2 = x + 2",[573,1440,1442,1486,1504],{"className":1441,"ariaHidden":639},[638],[573,1443,1445,1448,1477,1480,1483],{"className":1444},[643],[573,1446],{"className":1447,"style":1378},[647],[573,1449,1451,1454],{"className":1450},[652],[573,1452,602],{"className":1453},[652,653],[573,1455,1457],{"className":1456},[892],[573,1458,1460],{"className":1459},[896],[573,1461,1463],{"className":1462},[901],[573,1464,1466],{"className":1465,"style":1378},[905],[573,1467,1468,1471],{"style":1399},[573,1469],{"className":1470,"style":914},[913],[573,1472,1474],{"className":1473},[918,919,920,921],[573,1475,1246],{"className":1476},[652,921],[573,1478],{"className":1479,"style":669},[668],[573,1481,608],{"className":1482},[673],[573,1484],{"className":1485,"style":669},[668],[573,1487,1489,1492,1495,1498,1501],{"className":1488},[643],[573,1490],{"className":1491,"style":1286},[647],[573,1493,602],{"className":1494},[652,653],[573,1496],{"className":1497,"style":699},[668],[573,1499,1242],{"className":1500},[703],[573,1502],{"className":1503,"style":699},[668],[573,1505,1507,1510],{"className":1506},[643],[573,1508],{"className":1509,"style":1305},[647],[573,1511,1246],{"className":1512},[652]," folgt ",[573,1515,1517,1548],{"className":1516},[576],[573,1518,1520],{"className":1519},[580],[582,1521,1522],{"xmlns":584},[586,1523,1524,1545],{},[589,1525,1526,1532,1534,1536,1538,1540,1542],{},[1333,1527,1528,1530],{},[592,1529,602],{},[1244,1531,1246],{},[596,1533,620],{},[592,1535,602],{},[596,1537,620],{},[1244,1539,1246],{},[596,1541,608],{},[1244,1543,1544],{},"0",[631,1546,1547],{"encoding":633},"x^2 - x - 2 = 0",[573,1549,1551,1596,1614,1632],{"className":1550,"ariaHidden":639},[638],[573,1552,1554,1558,1587,1590,1593],{"className":1553},[643],[573,1555],{"className":1556,"style":1557},[647],"height:0.8974em;vertical-align:-0.0833em;",[573,1559,1561,1564],{"className":1560},[652],[573,1562,602],{"className":1563},[652,653],[573,1565,1567],{"className":1566},[892],[573,1568,1570],{"className":1569},[896],[573,1571,1573],{"className":1572},[901],[573,1574,1576],{"className":1575,"style":1378},[905],[573,1577,1578,1581],{"style":1399},[573,1579],{"className":1580,"style":914},[913],[573,1582,1584],{"className":1583},[918,919,920,921],[573,1585,1246],{"className":1586},[652,921],[573,1588],{"className":1589,"style":699},[668],[573,1591,620],{"className":1592},[703],[573,1594],{"className":1595,"style":699},[668],[573,1597,1599,1602,1605,1608,1611],{"className":1598},[643],[573,1600],{"className":1601,"style":1286},[647],[573,1603,602],{"className":1604},[652,653],[573,1606],{"className":1607,"style":699},[668],[573,1609,620],{"className":1610},[703],[573,1612],{"className":1613,"style":699},[668],[573,1615,1617,1620,1623,1626,1629],{"className":1616},[643],[573,1618],{"className":1619,"style":1305},[647],[573,1621,1246],{"className":1622},[652],[573,1624],{"className":1625,"style":669},[668],[573,1627,608],{"className":1628},[673],[573,1630],{"className":1631,"style":669},[668],[573,1633,1635,1638],{"className":1634},[643],[573,1636],{"className":1637,"style":1305},[647],[573,1639,1544],{"className":1640},[652]," mit den Lösungen ",[573,1643,1645,1666],{"className":1644},[576],[573,1646,1648],{"className":1647},[580],[582,1649,1650],{"xmlns":584},[586,1651,1652,1663],{},[589,1653,1654,1656,1658,1660],{},[592,1655,602],{},[596,1657,608],{},[596,1659,620],{},[1244,1661,1662],{},"1",[631,1664,1665],{"encoding":633},"x = -1",[573,1667,1669,1687],{"className":1668,"ariaHidden":639},[638],[573,1670,1672,1675,1678,1681,1684],{"className":1671},[643],[573,1673],{"className":1674,"style":1204},[647],[573,1676,602],{"className":1677},[652,653],[573,1679],{"className":1680,"style":669},[668],[573,1682,608],{"className":1683},[673],[573,1685],{"className":1686,"style":669},[668],[573,1688,1690,1694,1697],{"className":1689},[643],[573,1691],{"className":1692,"style":1693},[647],"height:0.7278em;vertical-align:-0.0833em;",[573,1695,620],{"className":1696},[652],[573,1698,1662],{"className":1699},[652],[573,1701,1703,1721],{"className":1702},[576],[573,1704,1706],{"className":1705},[580],[582,1707,1708],{"xmlns":584},[586,1709,1710,1718],{},[589,1711,1712,1714,1716],{},[592,1713,602],{},[596,1715,608],{},[1244,1717,1246],{},[631,1719,1720],{"encoding":633},"x = 2",[573,1722,1724,1742],{"className":1723,"ariaHidden":639},[638],[573,1725,1727,1730,1733,1736,1739],{"className":1726},[643],[573,1728],{"className":1729,"style":1204},[647],[573,1731,602],{"className":1732},[652,653],[573,1734],{"className":1735,"style":669},[668],[573,1737,608],{"className":1738},[673],[573,1740],{"className":1741,"style":669},[668],[573,1743,1745,1748],{"className":1744},[643],[573,1746],{"className":1747,"style":1305},[647],[573,1749,1246],{"className":1750},[652],". Dazwischen liegt die Gerade oben:",[573,1753,1756],{"className":1754},[1755],"katex-display",[573,1757,1759,1894],{"className":1758},[576],[573,1760,1762],{"className":1761},[580],[582,1763,1765],{"xmlns":584,"display":1764},"block",[586,1766,1767,1891],{},[589,1768,1769,1771,1773,1785,1787,1789,1791,1793,1795,1801,1803,1805,1807,1809,1811,1859,1861,1868,1870,1886,1888],{},[592,1770,801],{},[596,1772,608],{},[805,1774,1775,1777,1783],{},[596,1776,809],{},[589,1778,1779,1781],{},[596,1780,620],{},[1244,1782,1662],{},[1244,1784,1246],{},[596,1786,599],{"stretchy":598},[592,1788,602],{},[596,1790,1242],{},[1244,1792,1246],{},[596,1794,620],{},[1333,1796,1797,1799],{},[592,1798,602],{},[1244,1800,1246],{},[596,1802,605],{"stretchy":598},[840,1804,842],{},[592,1806,594],{},[592,1808,602],{},[596,1810,608],{},[805,1812,1813,1851,1857],{},[589,1814,1815,1818,1829,1831,1833,1835,1837,1848],{},[596,1816,1817],{"fence":639},"[",[1819,1820,1821,1827],"mfrac",{},[1333,1822,1823,1825],{},[592,1824,602],{},[1244,1826,1246],{},[1244,1828,1246],{},[596,1830,1242],{},[1244,1832,1246],{},[592,1834,602],{},[596,1836,620],{},[1819,1838,1839,1846],{},[1333,1840,1841,1843],{},[592,1842,602],{},[1244,1844,1845],{},"3",[1244,1847,1845],{},[596,1849,1850],{"fence":639},"]",[589,1852,1853,1855],{},[596,1854,620],{},[1244,1856,1662],{},[1244,1858,1246],{},[596,1860,608],{},[1819,1862,1863,1866],{},[1244,1864,1865],{},"10",[1244,1867,1845],{},[596,1869,620],{},[589,1871,1872,1874,1876,1884],{},[596,1873,599],{"fence":639},[596,1875,620],{},[1819,1877,1878,1881],{},[1244,1879,1880],{},"7",[1244,1882,1883],{},"6",[596,1885,605],{"fence":639},[596,1887,608],{},[1244,1889,1890],{},"4,5",[631,1892,1893],{"encoding":633},"A = \\int_{-1}^{2} (x + 2 - x^2)\\,dx = \\left[\\frac{x^2}{2} + 2x - \\frac{x^3}{3}\\right]_{-1}^{2} = \\frac{10}{3} - \\left(-\\frac{7}{6}\\right) = 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Graphen von ",[573,2586,2588,2616],{"className":2587},[576],[573,2589,2591],{"className":2590},[580],[582,2592,2593],{"xmlns":584},[586,2594,2595,2613],{},[589,2596,2597,2599,2601,2603,2605,2607],{},[592,2598,611],{},[596,2600,599],{"stretchy":598},[592,2602,602],{},[596,2604,605],{"stretchy":598},[596,2606,608],{},[1333,2608,2609,2611],{},[592,2610,602],{},[1244,2612,1845],{},[631,2614,2615],{"encoding":633},"f(x) = 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= x",[573,2709,2711,2738],{"className":2710,"ariaHidden":639},[638],[573,2712,2714,2717,2720,2723,2726,2729,2732,2735],{"className":2713},[643],[573,2715],{"className":2716,"style":648},[647],[573,2718,623],{"className":2719,"style":716},[652,653],[573,2721,599],{"className":2722},[657],[573,2724,602],{"className":2725},[652,653],[573,2727,605],{"className":2728},[664],[573,2730],{"className":2731,"style":669},[668],[573,2733,608],{"className":2734},[673],[573,2736],{"className":2737,"style":669},[668],[573,2739,2741,2744],{"className":2740},[643],[573,2742],{"className":2743,"style":1204},[647],[573,2745,602],{"className":2746},[652,653]," schneiden sich bei ",[573,2749,2751,2767],{"className":2750},[576],[573,2752,2754],{"className":2753},[580],[582,2755,2756],{"xmlns":584},[586,2757,2758,2764],{},[589,2759,2760,2762],{},[596,2761,620],{},[1244,2763,1662],{},[631,2765,2766],{"encoding":633},"-1",[573,2768,2770],{"className":2769,"ariaHidden":639},[638],[573,2771,2773,2776,2779],{"className":2772},[643],[573,2774],{"className":2775,"style":1693},[647],[573,2777,620],{"className":2778},[652],[573,2780,1662],{"className":2781},[652],", ",[573,2784,2786,2799],{"className":2785},[576],[573,2787,2789],{"className":2788},[580],[582,2790,2791],{"xmlns":584},[586,2792,2793,2797],{},[589,2794,2795],{},[1244,2796,1544],{},[631,2798,1544],{"encoding":633},[573,2800,2802],{"className":2801,"ariaHidden":639},[638],[573,2803,2805,2808],{"className":2804},[643],[573,2806],{"className":2807,"style":1305},[647],[573,2809,1544],{"className":2810},[652],[573,2812,2814,2827],{"className":2813},[576],[573,2815,2817],{"className":2816},[580],[582,2818,2819],{"xmlns":584},[586,2820,2821,2825],{},[589,2822,2823],{},[1244,2824,1662],{},[631,2826,1662],{"encoding":633},[573,2828,2830],{"className":2829,"ariaHidden":639},[638],[573,2831,2833,2836],{"className":2832},[643],[573,2834],{"className":2835,"style":1305},[647],[573,2837,1662],{"className":2838},[652],". Über das ganze Intervall integriert ergibt sich nur die Bilanz:",[573,2841,2843],{"className":2842},[1755],[573,2844,2846,2960],{"className":2845},[576],[573,2847,2849],{"className":2848},[580],[582,2850,2851],{"xmlns":584,"display":1764},[586,2852,2853,2957],{},[589,2854,2855,2867,2869,2875,2877,2879,2881,2883,2885,2887,2889,2927,2929,2931,2937,2939,2953,2955],{},[805,2856,2857,2859,2865],{},[596,2858,809],{},[589,2860,2861,2863],{},[596,2862,620],{},[1244,2864,1662],{},[1244,2866,1662],{},[596,2868,599],{"stretchy":598},[1333,2870,2871,2873],{},[592,2872,602],{},[1244,2874,1845],{},[596,2876,620],{},[592,2878,602],{},[596,2880,605],{"stretchy":598},[840,2882,842],{},[592,2884,594],{},[592,2886,602],{},[596,2888,608],{},[805,2890,2891,2919,2925],{},[589,2892,2893,2895,2905,2907,2917],{},[596,2894,1817],{"fence":639},[1819,2896,2897,2903],{},[1333,2898,2899,2901],{},[592,2900,602],{},[1244,2902,2569],{},[1244,2904,2569],{},[596,2906,620],{},[1819,2908,2909,2915],{},[1333,2910,2911,2913],{},[592,2912,602],{},[1244,2914,1246],{},[1244,2916,1246],{},[596,2918,1850],{"fence":639},[589,2920,2921,2923],{},[596,2922,620],{},[1244,2924,1662],{},[1244,2926,1662],{},[596,2928,608],{},[596,2930,620],{},[1819,2932,2933,2935],{},[1244,2934,1662],{},[1244,2936,2569],{},[596,2938,620],{},[589,2940,2941,2943,2945,2951],{},[596,2942,599],{"fence":639},[596,2944,620],{},[1819,2946,2947,2949],{},[1244,2948,1662],{},[1244,2950,2569],{},[596,2952,605],{"fence":639},[596,2954,608],{},[1244,2956,1544],{},[631,2958,2959],{"encoding":633},"\\int_{-1}^{1} (x^3 - x)\\,dx = \\left[\\frac{x^4}{4} - \\frac{x^2}{2}\\right]_{-1}^{1} = -\\frac{1}{4} - \\left(-\\frac{1}{4}\\right) = 0",[573,2961,2963,3070,3100,3372,3452,3547],{"className":2962,"ariaHidden":639},[638],[573,2964,2966,2969,3029,3032,3061,3064,3067],{"className":2965},[643],[573,2967],{"className":2968,"style":1921},[647],[573,2970,2972,2975],{"className":2971},[882],[573,2973,809],{"className":2974,"style":1929},[882,886,1928],[573,2976,2978],{"className":2977},[892],[573,2979,2981,3021],{"className":2980},[896,897],[573,2982,2984,3018],{"className":2983},[901],[573,2985,2987,3004],{"className":2986,"style":1942},[905],[573,2988,2989,2992],{"style":1945},[573,2990],{"className":2991,"style":914},[913],[573,2993,2995],{"className":2994},[918,919,920,921],[573,2996,2998,3001],{"className":2997},[652,921],[573,2999,620],{"className":3000},[652,921],[573,3002,1662],{"className":3003},[652,921],[573,3005,3006,3009],{"style":1963},[573,3007],{"className":3008,"style":914},[913],[573,3010,3012],{"className":3011},[918,919,920,921],[573,3013,3015],{"className":3014},[652,921],[573,3016,1662],{"className":3017},[652,921],[573,3019,941],{"className":3020},[940],[573,3022,3024],{"className":3023},[901],[573,3025,3027],{"className":3026,"style":1985},[905],[573,3028],{},[573,3030,599],{"className":3031},[657],[573,3033,3035,3038],{"className":3034},[652],[573,3036,602],{"className":3037},[652,653],[573,3039,3041],{"className":3040},[892],[573,3042,3044],{"className":3043},[896],[573,3045,3047],{"className":3046},[901],[573,3048,3050],{"className":3049,"style":2046},[905],[573,3051,3052,3055],{"style":2049},[573,3053],{"className":3054,"style":914},[913],[573,3056,3058],{"className":3057},[918,919,920,921],[573,3059,1845],{"className":3060},[652,921],[573,3062],{"className":3063,"style":699},[668],[573,3065,620],{"className":3066},[703],[573,3068],{"className":3069,"style":699},[668],[573,3071,3073,3076,3079,3082,3085,3088,3091,3094,3097],{"className":3072},[643],[573,3074],{"className":3075,"style":648},[647],[573,3077,602],{"className":3078},[652,653],[573,3080,605],{"className":3081},[664],[573,3083],{"className":3084,"style":954},[668],[573,3086,594],{"className":3087},[652,653],[573,3089,602],{"className":3090},[652,653],[573,3092],{"className":3093,"style":669},[668],[573,3095,608],{"className":3096},[673],[573,3098],{"className":3099,"style":669},[668],[573,3101,3103,3106,3363,3366,3369],{"className":3102},[643],[573,3104],{"className":3105,"style":2086},[647],[573,3107,3109,3309],{"className":3108},[2090],[573,3110,3112,3118,3206,3209,3212,3215,3303],{"className":3111},[2090],[573,3113,3115],{"className":3114,"style":2098},[657,2097],[573,3116,1817],{"className":3117},[961,920],[573,3119,3121,3124,3203],{"className":3120},[652],[573,3122],{"className":3123},[657,2108],[573,3125,3127],{"className":3126},[1819],[573,3128,3130,3195],{"className":3129},[896,897],[573,3131,3133,3192],{"className":3132},[901],[573,3134,3136,3147,3155],{"className":3135,"style":2121},[905],[573,3137,3138,3141],{"style":2124},[573,3139],{"className":3140,"style":2128},[913],[573,3142,3144],{"className":3143},[652],[573,3145,2569],{"className":3146},[652],[573,3148,3149,3152],{"style":2137},[573,3150],{"className":3151,"style":2128},[913],[573,3153],{"className":3154,"style":2145},[2144],[573,3156,3157,3160],{"style":2148},[573,3158],{"className":3159,"style":2128},[913],[573,3161,3163],{"className":3162},[652],[573,3164,3166,3169],{"className":3165},[652],[573,3167,602],{"className":3168},[652,653],[573,3170,3172],{"className":3171},[892],[573,3173,3175],{"className":3174},[896],[573,3176,3178],{"className":3177},[901],[573,3179,3181],{"className":3180,"style":1378},[905],[573,3182,3183,3186],{"style":1399},[573,3184],{"className":3185,"style":914},[913],[573,3187,3189],{"className":3188},[918,919,920,921],[573,3190,2569],{"className":3191},[652,921],[573,3193,941],{"className":3194},[940],[573,3196,3198],{"className":3197},[901],[573,3199,3201],{"className":3200,"style":2193},[905],[573,3202],{},[573,3204],{"className":3205},[664,2108],[573,3207],{"className":3208,"style":699},[668],[573,3210,620],{"className":3211},[703],[573,3213],{"className":3214,"style":699},[668],[573,3216,3218,3221,3300],{"className":3217},[652],[573,3219],{"className":3220},[657,2108],[573,3222,3224],{"className":3223},[1819],[573,3225,3227,3292],{"className":3226},[896,897],[573,3228,3230,3289],{"className":3229},[901],[573,3231,3233,3244,3252],{"className":3232,"style":2121},[905],[573,3234,3235,3238],{"style":2124},[573,3236],{"className":3237,"style":2128},[913],[573,3239,3241],{"className":3240},[652],[573,3242,1246],{"className":3243},[652],[573,3245,3246,3249],{"style":2137},[573,3247],{"className":3248,"style":2128},[913],[573,3250],{"className":3251,"style":2145},[2144],[573,3253,3254,3257],{"style":2148},[573,3255],{"className":3256,"style":2128},[913],[573,3258,3260],{"className":3259},[652],[573,3261,3263,3266],{"className":3262},[652],[573,3264,602],{"className":3265},[652,653],[573,3267,3269],{"className":3268},[892],[573,3270,3272],{"className":3271},[896],[573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man bei ",[573,3560,3562,3575],{"className":3561},[576],[573,3563,3565],{"className":3564},[580],[582,3566,3567],{"xmlns":584},[586,3568,3569,3573],{},[589,3570,3571],{},[1244,3572,1544],{},[631,3574,1544],{"encoding":633},[573,3576,3578],{"className":3577,"ariaHidden":639},[638],[573,3579,3581,3584],{"className":3580},[643],[573,3582],{"className":3583,"style":1305},[647],[573,3585,1544],{"className":3586},[652]," auf, erhält man zwei gleich große Teilflächen:",[573,3589,3591],{"className":3590},[1755],[573,3592,3594,3669],{"className":3593},[576],[573,3595,3597],{"className":3596},[580],[582,3598,3599],{"xmlns":584,"display":1764},[586,3600,3601,3666],{},[589,3602,3603,3605,3607,3609,3617,3619,3621,3623,3629,3631,3633,3635,3637,3639,3641,3661,3663],{},[592,3604,801],{},[596,3606,608],{},[1244,3608,1246],{},[805,3610,3611,3613,3615],{},[596,3612,809],{},[1244,3614,1544],{},[1244,3616,1662],{},[596,3618,599],{"stretchy":598},[592,3620,602],{},[596,3622,620],{},[1333,3624,3625,3627],{},[592,3626,602],{},[1244,3628,1845],{},[596,3630,605],{"stretchy":598},[840,3632,842],{},[592,3634,594],{},[592,3636,602],{},[596,3638,608],{},[1244,3640,1246],{},[589,3642,3643,3645,3651,3653,3659],{},[596,3644,599],{"fence":639},[1819,3646,3647,3649],{},[1244,3648,1662],{},[1244,3650,1246],{},[596,3652,620],{},[1819,3654,3655,3657],{},[1244,3656,1662],{},[1244,3658,2569],{},[596,3660,605],{"fence":639},[596,3662,608],{},[1244,3664,3665],{},"0,5",[631,3667,3668],{"encoding":633},"A = 2 \\int_0^1 (x - x^3)\\,dx = 2 \\left(\\frac{1}{2} - \\frac{1}{4}\\right) = 0{,}5",[573,3670,3672,3690,3770,3826,3995],{"className":3671,"ariaHidden":639},[638],[573,3673,3675,3678,3681,3684,3687],{"className":3674},[643],[573,3676],{"className":3677,"style":859},[647],[573,3679,801],{"className":3680},[652,653],[573,3682],{"className":3683,"style":669},[668],[573,3685,608],{"className":3686},[673],[573,3688],{"className":3689,"style":669},[668],[573,3691,3693,3697,3700,3703,3755,3758,3761,3764,3767],{"className":3692},[643],[573,3694],{"className":3695,"style":3696},[647],"height:2.476em;vertical-align:-0.9119em;",[573,3698,1246],{"className":3699},[652],[573,3701],{"className":3702,"style":954},[668],[573,3704,3706,3709],{"className":3705},[882],[573,3707,809],{"className":3708,"style":1929},[882,886,1928],[573,3710,3712],{"className":3711},[892],[573,3713,3715,3746],{"className":3714},[896,897],[573,3716,3718,3743],{"className":3717},[901],[573,3719,3721,3732],{"className":3720,"style":1942},[905],[573,3722,3723,3726],{"style":1945},[573,3724],{"className":3725,"style":914},[913],[573,3727,3729],{"className":3728},[918,919,920,921],[573,3730,1544],{"className":3731},[652,921],[573,3733,3734,3737],{"style":1963},[573,3735],{"className":3736,"style":914},[913],[573,3738,3740],{"className":3739},[918,919,920,921],[573,3741,1662],{"className":3742},[652,921],[573,3744,941],{"className":3745},[940],[573,3747,3749],{"className":3748},[901],[573,3750,3753],{"className":3751,"style":3752},[905],"height:0.9119em;",[573,3754],{},[573,3756,599],{"className":3757},[657],[573,3759,602],{"className":3760},[652,653],[573,3762],{"className":3763,"style":699},[668],[573,3765,620],{"className":3766},[703],[573,3768],{"className":3769,"style":699},[668],[573,3771,3773,3776,3805,3808,3811,3814,3817,3820,3823],{"className":3772},[643],[573,3774],{"className":3775,"style":2027},[647],[573,3777,3779,3782],{"className":3778},[652],[573,3780,602],{"className":3781},[652,653],[573,3783,3785],{"className":3784},[892],[573,3786,3788],{"className":3787},[896],[573,3789,3791],{"className":3790},[901],[573,3792,3794],{"className":3793,"style":2046},[905],[573,3795,3796,3799],{"style":2049},[573,3797],{"className":3798,"style":914},[913],[573,3800,3802],{"className":3801},[918,919,920,921],[573,3803,1845],{"className":3804},[652,921],[573,3806,605],{"className":3807},[664],[573,3809],{"className":3810,"style":954},[668],[573,3812,594],{"className":3813},[652,653],[573,3815,602],{"className":3816},[652,653],[573,3818],{"className":3819,"style":669},[668],[573,3821,608],{"className":3822},[673],[573,3824],{"className":3825,"style":669},[668],[573,3827,3829,3832,3835,3838,3986,3989,3992],{"className":3828},[643],[573,3830],{"className":3831,"style":2469},[647],[573,3833,1246],{"className":3834},[652],[573,3836],{"className":3837,"style":954},[668],[573,3839,3841,3847,3909,3912,3915,3918,3980],{"className":3840},[2090],[573,3842,3844],{"className":3843,"style":2098},[657,2097],[573,3845,599],{"className":3846},[961,920],[573,3848,3850,3853,3906],{"className":3849},[652],[573,3851],{"className":3852},[657,2108],[573,3854,3856],{"className":3855},[1819],[573,3857,3859,3898],{"className":3858},[896,897],[573,3860,3862,3895],{"className":3861},[901],[573,3863,3865,3876,3884],{"className":3864,"style":2409},[905],[573,3866,3867,3870],{"style":2124},[573,3868],{"className":3869,"style":2128},[913],[573,3871,3873],{"className":3872},[652],[573,3874,1246],{"className":3875},[652],[573,3877,3878,3881],{"style":2137},[573,3879],{"className":3880,"style":2128},[913],[573,3882],{"className":3883,"style":2145},[2144],[573,3885,3886,3889],{"style":2148},[573,3887],{"className":3888,"style":2128},[913],[573,3890,3892],{"className":3891},[652],[573,3893,1662],{"className":3894},[652],[573,3896,941],{"className":3897},[940],[573,3899,3901],{"className":3900},[901],[573,3902,3904],{"className":3903,"style":2193},[905],[573,3905],{},[573,3907],{"className":3908},[664,2108],[573,3910],{"className":3911,"style":699},[668],[573,3913,620],{"className":3914},[703],[573,3916],{"className":3917,"style":699},[668],[573,3919,3921,3924,3977],{"className":3920},[652],[573,3922],{"className":3923},[657,2108],[573,3925,3927],{"className":3926},[1819],[573,3928,3930,3969],{"className":3929},[896,897],[573,3931,3933,3966],{"className":3932},[901],[573,3934,3936,3947,3955],{"className":3935,"style":2409},[905],[573,3937,3938,3941],{"style":2124},[573,3939],{"className":3940,"style":2128},[913],[573,3942,3944],{"className":3943},[652],[573,3945,2569],{"className":3946},[652],[573,3948,3949,3952],{"style":2137},[573,3950],{"className":3951,"style":2128},[913],[573,3953],{"className":3954,"style":2145},[2144],[573,3956,3957,3960],{"style":2148},[573,3958],{"className":3959,"style":2128},[913],[573,3961,3963],{"className":3962},[652],[573,3964,1662],{"className":3965},[652],[573,3967,941],{"className":3968},[940],[573,3970,3972],{"className":3971},[901],[573,3973,3975],{"className":3974,"style":2193},[905],[573,3976],{},[573,3978],{"className":3979},[6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Fehler",[4018,4019,4020,4090,4151],"ul",{},[1026,4021,4022,4023,4051,4052,1018],{},"Über eine Schnittstelle hinweg integrieren. 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