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\\sin x \\, dx = \\left[-\\cos x\\right]_0^{\\pi} = -\\cos \\pi - (-\\cos 0) = 1 + 1 = 2",[568,1011,1013,1127,1227,1259,1296,1315,1334],{"className":1012,"ariaHidden":606},[605],[568,1014,1016,1020,1095,1098,1101,1104,1107,1110,1113,1116,1120,1124],{"className":1015},[610],[568,1017],{"className":1018,"style":1019},[614],"height:2.3262em;vertical-align:-0.9119em;",[568,1021,1023,1029],{"className":1022},[619],[568,1024,917],{"className":1025,"style":1028},[619,1026,1027],"op-symbol","large-op","margin-right:0.4445em;position:relative;top:-0.0011em;",[568,1030,1033],{"className":1031},[1032],"msupsub",[568,1034,1038,1086],{"className":1035},[1036,1037],"vlist-t","vlist-t2",[568,1039,1042,1081],{"className":1040},[1041],"vlist-r",[568,1043,1047,1065],{"className":1044,"style":1046},[1045],"vlist","height:1.4143em;",[568,1048,1050,1055],{"style":1049},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[568,1051],{"className":1052,"style":1054},[1053],"pstrut","height:2.7em;",[568,1056,1062],{"className":1057},[1058,1059,1060,1061],"sizing","reset-size6","size3","mtight",[568,1063,921],{"className":1064},[628,1061],[568,1066,1068,1071],{"style":1067},"top:-3.8129em;margin-right:0.05em;",[568,1069],{"className":1070,"style":1054},[1053],[568,1072,1074],{"className":1073},[1058,1059,1060,1061],[568,1075,1077],{"className":1076},[628,1061],[568,1078,924],{"className":1079,"style":1080},[628,629,1061],"margin-right:0.0359em;",[568,1082,1085],{"className":1083},[1084],"vlist-s","​",[568,1087,1089],{"className":1088},[1041],[568,1090,1093],{"className":1091,"style":1092},[1045],"height:0.9119em;",[568,1094],{},[568,1096],{"className":1097,"style":624},[623],[568,1099,648],{"className":1100},[619],[568,1102],{"className":1103,"style":624},[623],[568,1105,596],{"className":1106},[628,629],[568,1108],{"className":1109,"style":624},[623],[568,1111,937],{"className":1112},[628,629],[568,1114,596],{"className":1115},[628,629],[568,1117],{"className":1118,"style":1119},[623],"margin-right:0.2778em;",[568,1121,942],{"className":1122},[1123],"mrel",[568,1125],{"className":1126,"style":1119},[623],[568,1128,1130,1134,1218,1221,1224],{"className":1129},[610],[568,1131],{"className":1132,"style":1133},[614],"height:1.104em;vertical-align:-0.2997em;",[568,1135,1138,1166],{"className":1136},[1137],"minner",[568,1139,1141,1147,1150,1153,1156,1159,1162],{"className":1140},[1137],[568,1142,949],{"className":1143,"style":1146},[1144,1145],"mopen","delimcenter","top:0em;",[568,1148,645],{"className":1149},[628],[568,1151],{"className":1152,"style":624},[623],[568,1154,589],{"className":1155},[619],[568,1157],{"className":1158,"style":624},[623],[568,1160,596],{"className":1161},[628,629],[568,1163,960],{"className":1164,"style":1146},[1165,1145],"mclose",[568,1167,1169],{"className":1168},[1032],[568,1170,1172,1209],{"className":1171},[1036,1037],[568,1173,1175,1206],{"className":1174},[1041],[568,1176,1179,1191],{"className":1177,"style":1178},[1045],"height:0.8043em;",[568,1180,1182,1185],{"style":1181},"top:-2.4003em;margin-right:0.05em;",[568,1183],{"className":1184,"style":1054},[1053],[568,1186,1188],{"className":1187},[1058,1059,1060,1061],[568,1189,921],{"className":1190},[628,1061],[568,1192,1194,1197],{"style":1193},"top:-3.2029em;margin-right:0.05em;",[568,1195],{"className":1196,"style":1054},[1053],[568,1198,1200],{"className":1199},[1058,1059,1060,1061],[568,1201,1203],{"className":1202},[628,1061],[568,1204,924],{"className":1205,"style":1080},[628,629,1061],[568,1207,1085],{"className":1208},[1084],[568,1210,1212],{"className":1211},[1041],[568,1213,1216],{"className":1214,"style":1215},[1045],"height:0.2997em;",[568,1217],{},[568,1219],{"className":1220,"style":1119},[623],[568,1222,942],{"className":1223},[1123],[568,1225],{"className":1226,"style":1119},[623],[568,1228,1230,1233,1236,1239,1242,1245,1248,1252,1256],{"className":1229},[610],[568,1231],{"className":1232,"style":714},[614],[568,1234,645],{"className":1235},[628],[568,1237],{"className":1238,"style":624},[623],[568,1240,589],{"className":1241},[619],[568,1243],{"className":1244,"style":624},[623],[568,1246,924],{"className":1247,"style":1080},[628,629],[568,1249],{"className":1250,"style":1251},[623],"margin-right:0.2222em;",[568,1253,645],{"className":1254},[1255],"mbin",[568,1257],{"className":1258,"style":1251},[623],[568,1260,1262,1266,1269,1272,1275,1278,1281,1284,1287,1290,1293],{"className":1261},[610],[568,1263],{"className":1264,"style":1265},[614],"height:1em;vertical-align:-0.25em;",[568,1267,980],{"className":1268},[1144],[568,1270,645],{"className":1271},[628],[568,1273],{"className":1274,"style":624},[623],[568,1276,589],{"className":1277},[619],[568,1279],{"className":1280,"style":624},[623],[568,1282,921],{"className":1283},[628],[568,1285,991],{"className":1286},[1165],[568,1288],{"className":1289,"style":1119},[623],[568,1291,942],{"className":1292},[1123],[568,1294],{"className":1295,"style":1119},[623],[568,1297,1299,1303,1306,1309,1312],{"className":1298},[610],[568,1300],{"className":1301,"style":1302},[614],"height:0.7278em;vertical-align:-0.0833em;",[568,1304,996],{"className":1305},[628],[568,1307],{"className":1308,"style":1251},[623],[568,1310,999],{"className":1311},[1255],[568,1313],{"className":1314,"style":1251},[623],[568,1316,1318,1322,1325,1328,1331],{"className":1317},[610],[568,1319],{"className":1320,"style":1321},[614],"height:0.6444em;",[568,1323,996],{"className":1324},[628],[568,1326],{"className":1327,"style":1119},[623],[568,1329,942],{"className":1330},[1123],[568,1332],{"className":1333,"style":1119},[623],[568,1335,1337,1340],{"className":1336},[610],[568,1338],{"className":1339,"style":1321},[614],[568,1341,1006],{"className":1342},[628],[568,1344,1346],{"className":1345},[898],[568,1347,1349,1420],{"className":1348},[571],[568,1350,1352],{"className":1351},[575],[577,1353,1354],{"xmlns":579,"display":907},[581,1355,1356,1417],{},[584,1357,1358,1371,1373,1375,1377,1379,1381,1383,1385,1387,1389,1391,1397,1399,1401,1403,1405,1407,1409,1411,1413,1415],{},[913,1359,1360,1362,1364],{},[591,1361,917],{},[919,1363,921],{},[1365,1366,1367,1369],"mfrac",{},[587,1368,924],{},[919,1370,1006],{},[587,1372,648],{},[591,1374,593],{},[587,1376,596],{},[932,1378,934],{},[587,1380,937],{},[587,1382,596],{},[591,1384,942],{},[591,1386,645],{},[587,1388,589],{},[591,1390,593],{},[1365,1392,1393,1395],{},[587,1394,924],{},[919,1396,1006],{},[591,1398,999],{},[587,1400,589],{},[591,1402,593],{},[919,1404,921],{},[591,1406,942],{},[919,1408,921],{},[591,1410,999],{},[919,1412,996],{},[591,1414,942],{},[919,1416,996],{},[598,1418,1419],{"encoding":600},"\\int_0^{\\frac{\\pi}{2}} \\sin x \\, dx = -\\cos \\frac{\\pi}{2} + \\cos 0 = 0 + 1 = 1",[568,1421,1423,1594,1690,1714,1732,1750],{"className":1422,"ariaHidden":606},[605],[568,1424,1426,1430,1564,1567,1570,1573,1576,1579,1582,1585,1588,1591],{"className":1425},[610],[568,1427],{"className":1428,"style":1429},[614],"height:2.5089em;vertical-align:-0.9119em;",[568,1431,1433,1436],{"className":1432},[619],[568,1434,917],{"className":1435,"style":1028},[619,1026,1027],[568,1437,1439],{"className":1438},[1032],[568,1440,1442,1556],{"className":1441},[1036,1037],[568,1443,1445,1553],{"className":1444},[1041],[568,1446,1449,1462],{"className":1447,"style":1448},[1045],"height:1.597em;",[568,1450,1452,1456],{"style":1451},"top:-2.088em;margin-left:-0.4445em;margin-right:0.05em;",[568,1453],{"className":1454,"style":1455},[1053],"height:3em;",[568,1457,1459],{"className":1458},[1058,1059,1060,1061],[568,1460,921],{"className":1461},[628,1061],[568,1463,1465,1468],{"style":1464},"top:-4.1129em;margin-right:0.05em;",[568,1466],{"className":1467,"style":1455},[1053],[568,1469,1471],{"className":1470},[1058,1059,1060,1061],[568,1472,1474],{"className":1473},[628,1061],[568,1475,1477,1483,1550],{"className":1476},[628,1061],[568,1478],{"className":1479},[1144,1480,1058,1481,1482],"nulldelimiter","reset-size3","size6",[568,1484,1486],{"className":1485},[1365],[568,1487,1489,1541],{"className":1488},[1036,1037],[568,1490,1492,1538],{"className":1491},[1041],[568,1493,1496,1512,1523],{"className":1494,"style":1495},[1045],"height:0.6915em;",[568,1497,1499,1502],{"style":1498},"top:-2.656em;",[568,1500],{"className":1501,"style":1455},[1053],[568,1503,1506],{"className":1504},[1058,1481,1505,1061],"size1",[568,1507,1509],{"className":1508},[628,1061],[568,1510,1006],{"className":1511},[628,1061],[568,1513,1515,1518],{"style":1514},"top:-3.2255em;",[568,1516],{"className":1517,"style":1455},[1053],[568,1519],{"className":1520,"style":1522},[1521,1061],"frac-line","border-bottom-width:0.049em;",[568,1524,1526,1529],{"style":1525},"top:-3.384em;",[568,1527],{"className":1528,"style":1455},[1053],[568,1530,1532],{"className":1531},[1058,1481,1505,1061],[568,1533,1535],{"className":1534},[628,1061],[568,1536,924],{"className":1537,"style":1080},[628,629,1061],[568,1539,1085],{"className":1540},[1084],[568,1542,1544],{"className":1543},[1041],[568,1545,1548],{"className":1546,"style":1547},[1045],"height:0.344em;",[568,1549],{},[568,1551],{"className":1552},[1165,1480,1058,1481,1482],[568,1554,1085],{"className":1555},[1084],[568,1557,1559],{"className":1558},[1041],[568,1560,1562],{"className":1561,"style":1092},[1045],[568,1563],{},[568,1565],{"className":1566,"style":624},[623],[568,1568,648],{"className":1569},[619],[568,1571],{"className":1572,"style":624},[623],[568,1574,596],{"className":1575},[628,629],[568,1577],{"className":1578,"style":624},[623],[568,1580,937],{"className":1581},[628,629],[568,1583,596],{"className":1584},[628,629],[568,1586],{"className":1587,"style":1119},[623],[568,1589,942],{"className":1590},[1123],[568,1592],{"className":1593,"style":1119},[623],[568,1595,1597,1601,1604,1607,1610,1613,1681,1684,1687],{"className":1596},[610],[568,1598],{"className":1599,"style":1600},[614],"height:1.7936em;vertical-align:-0.686em;",[568,1602,645],{"className":1603},[628],[568,1605],{"className":1606,"style":624},[623],[568,1608,589],{"className":1609},[619],[568,1611],{"className":1612,"style":624},[623],[568,1614,1616,1619,1678],{"className":1615},[628],[568,1617],{"className":1618},[1144,1480],[568,1620,1622],{"className":1621},[1365],[568,1623,1625,1669],{"className":1624},[1036,1037],[568,1626,1628,1666],{"className":1627},[1041],[568,1629,1632,1644,1654],{"className":1630,"style":1631},[1045],"height:1.1076em;",[568,1633,1635,1638],{"style":1634},"top:-2.314em;",[568,1636],{"className":1637,"style":1455},[1053],[568,1639,1641],{"className":1640},[628],[568,1642,1006],{"className":1643},[628],[568,1645,1647,1650],{"style":1646},"top:-3.23em;",[568,1648],{"className":1649,"style":1455},[1053],[568,1651],{"className":1652,"style":1653},[1521],"border-bottom-width:0.04em;",[568,1655,1657,1660],{"style":1656},"top:-3.677em;",[568,1658],{"className":1659,"style":1455},[1053],[568,1661,1663],{"className":1662},[628],[568,1664,924],{"className":1665,"style":1080},[628,629],[568,1667,1085],{"className":1668},[1084],[568,1670,1672],{"className":1671},[1041],[568,1673,1676],{"className":1674,"style":1675},[1045],"height:0.686em;",[568,1677],{},[568,1679],{"className":1680},[1165,1480],[568,1682],{"className":1683,"style":1251},[623],[568,1685,999],{"className":1686},[1255],[568,1688],{"className":1689,"style":1251},[623],[568,1691,1693,1696,1699,1702,1705,1708,1711],{"className":1692},[610],[568,1694],{"className":1695,"style":1321},[614],[568,1697,589],{"className":1698},[619],[568,1700],{"className":1701,"style":624},[623],[568,1703,921],{"className":1704},[628],[568,1706],{"className":1707,"style":1119},[623],[568,1709,942],{"className":1710},[1123],[568,1712],{"className":1713,"style":1119},[623],[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eine volle Periode ist die Bilanz null:",[568,1763,1765],{"className":1764},[898],[568,1766,1768,1842],{"className":1767},[571],[568,1769,1771],{"className":1770},[575],[577,1772,1773],{"xmlns":579,"display":907},[581,1774,1775,1839],{},[584,1776,1777,1789,1791,1793,1795,1797,1799,1801,1803,1805,1807,1809,1811,1813,1815,1817,1819,1821,1823,1825,1827,1829,1831,1833,1835,1837],{},[913,1778,1779,1781,1783],{},[591,1780,917],{},[919,1782,921],{},[584,1784,1785,1787],{},[919,1786,1006],{},[587,1788,924],{},[587,1790,648],{},[591,1792,593],{},[587,1794,596],{},[932,1796,934],{},[587,1798,937],{},[587,1800,596],{},[591,1802,942],{},[591,1804,645],{},[587,1806,589],{},[591,1808,593],{},[591,1810,980],{"stretchy":979},[919,1812,1006],{},[587,1814,924],{},[591,1816,991],{"stretchy":979},[591,1818,999],{},[587,1820,589],{},[591,1822,593],{},[919,1824,921],{},[591,1826,942],{},[591,1828,645],{},[919,1830,996],{},[591,1832,999],{},[919,1834,996],{},[591,1836,942],{},[919,1838,921],{},[598,1840,1841],{"encoding":600},"\\int_0^{2\\pi} \\sin x \\, dx = -\\cos(2\\pi) + \\cos 0 = -1 + 1 = 0",[568,1843,1845,1940,1976,2000,2021,2039],{"className":1844,"ariaHidden":606},[605],[568,1846,1848,1852,1910,1913,1916,1919,1922,1925,1928,1931,1934,1937],{"className":1847},[610],[568,1849],{"className":1850,"style":1851},[614],"height:2.476em;vertical-align:-0.9119em;",[568,1853,1855,1858],{"className":1854},[619],[568,1856,917],{"className":1857,"style":1028},[619,1026,1027],[568,1859,1861],{"className":1860},[1032],[568,1862,1864,1902],{"className":1863},[1036,1037],[568,1865,1867,1899],{"className":1866},[1041],[568,1868,1871,1882],{"className":1869,"style":1870},[1045],"height:1.564em;",[568,1872,1873,1876],{"style":1049},[568,1874],{"className":1875,"style":1054},[1053],[568,1877,1879],{"className":1878},[1058,1059,1060,1061],[568,1880,921],{"className":1881},[628,1061],[568,1883,1884,1887],{"style":1067},[568,1885],{"className":1886,"style":1054},[1053],[568,1888,1890],{"className":1889},[1058,1059,1060,1061],[568,1891,1893,1896],{"className":1892},[628,1061],[568,1894,1006],{"className":1895},[628,1061],[568,1897,924],{"className":1898,"style":1080},[628,629,1061],[568,1900,1085],{"className":1901},[1084],[568,1903,1905],{"className":1904},[1041],[568,1906,1908],{"className":1907,"style":1092},[1045],[568,1909],{},[568,1911],{"className":1912,"style":624},[623],[568,1914,648],{"className":1915},[619],[568,1917],{"className":1918,"style":624},[623],[568,1920,596],{"className":1921},[628,629],[568,1923],{"className":1924,"style":624},[623],[568,1926,937],{"className":1927},[628,629],[568,1929,596],{"className":1930},[628,629],[568,1932],{"className":1933,"style":1119},[623],[568,1935,942],{"className":1936},[1123],[568,1938],{"className":1939,"style":1119},[623],[568,1941,1943,1946,1949,1952,1955,1958,1961,1964,1967,1970,1973],{"className":1942},[610],[568,1944],{"className":1945,"style":1265},[614],[568,1947,645],{"className":1948},[628],[568,1950],{"className":1951,"style":624},[623],[568,1953,589],{"className":1954},[619],[568,1956,980],{"className":1957},[1144],[568,1959,1006],{"className":1960},[628],[568,1962,924],{"className":1963,"style":1080},[628,629],[568,1965,991],{"className":1966},[1165],[568,1968],{"className":1969,"style":1251},[623],[568,1971,999],{"className":1972},[1255],[568,1974],{"className":1975,"style":1251},[623],[568,1977,1979,1982,1985,1988,1991,1994,1997],{"className":1978},[610],[568,1980],{"className":1981,"style":1321},[614],[568,1983,589],{"className":1984},[619],[568,1986],{"className":1987,"style":624},[623],[568,1989,921],{"className":1990},[628],[568,1992],{"className":1993,"style":1119},[623],[568,1995,942],{"className":1996},[1123],[568,1998],{"className":1999,"style":1119},[623],[568,2001,2003,2006,2009,2012,2015,2018],{"className":2002},[610],[568,2004],{"className":2005,"style":1302},[614],[568,2007,645],{"className":2008},[628],[568,2010,996],{"className":2011},[628],[568,2013],{"className":2014,"style":1251},[623],[568,2016,999],{"className":2017},[1255],[568,2019],{"className":2020,"style":1251},[623],[568,2022,2024,2027,2030,2033,2036],{"className":2023},[610],[568,2025],{"className":2026,"style":1321},[614],[568,2028,996],{"className":2029},[628],[568,2031],{"className":2032,"style":1119},[623],[568,2034,942],{"className":2035},[1123],[568,2037],{"className":2038,"style":1119},[623],[568,2040,2042,2045],{"className":2041},[610],[568,2043],{"className":2044,"style":1321},[614],[568,2046,921],{"className":2047},[628],[564,2049,2050,2051,2079,2080,2154],{},"Die Fläche zwischen Graph und ",[568,2052,2054,2067],{"className":2053},[571],[568,2055,2057],{"className":2056},[575],[577,2058,2059],{"xmlns":579},[581,2060,2061,2065],{},[584,2062,2063],{},[587,2064,596],{},[598,2066,596],{"encoding":600},[568,2068,2070],{"className":2069,"ariaHidden":606},[605],[568,2071,2073,2076],{"className":2072},[610],[568,2074],{"className":2075,"style":615},[614],[568,2077,596],{"className":2078},[628,629],"-Achse ist dort aber ",[568,2081,2083,2106],{"className":2082},[571],[568,2084,2086],{"className":2085},[575],[577,2087,2088],{"xmlns":579},[581,2089,2090,2103],{},[584,2091,2092,2094,2096,2098,2100],{},[919,2093,1006],{},[591,2095,999],{},[919,2097,1006],{},[591,2099,942],{},[919,2101,2102],{},"4",[598,2104,2105],{"encoding":600},"2 + 2 = 4",[568,2107,2109,2127,2145],{"className":2108,"ariaHidden":606},[605],[568,2110,2112,2115,2118,2121,2124],{"className":2111},[610],[568,2113],{"className":2114,"style":1302},[614],[568,2116,1006],{"className":2117},[628],[568,2119],{"className":2120,"style":1251},[623],[568,2122,999],{"className":2123},[1255],[568,2125],{"className":2126,"style":1251},[623],[568,2128,2130,2133,2136,2139,2142],{"className":2129},[610],[568,2131],{"className":2132,"style":1321},[614],[568,2134,1006],{"className":2135},[628],[568,2137],{"className":2138,"style":1119},[623],[568,2140,942],{"className":2141},[1123],[568,2143],{"className":2144,"style":1119},[623],[568,2146,2148,2151],{"className":2147},[610],[568,2149],{"className":2150,"style":1321},[614],[568,2152,2102],{"className":2153},[628],".",[559,2156,2158],{"id":2157},"typische-fehler","Typische Fehler",[2160,2161,2162,2267,2463],"ul",{},[2163,2164,2165,2166,630,2263,2266],"li",{},"Das Minuszeichen vergessen: ",[568,2167,2169,2203],{"className":2168},[571],[568,2170,2172],{"className":2171},[575],[577,2173,2174],{"xmlns":579},[581,2175,2176,2200],{},[584,2177,2178,2180,2182,2184,2186,2188,2190,2192,2194,2196,2198],{},[591,2179,917],{},[587,2181,648],{},[591,2183,593],{},[587,2185,596],{},[932,2187,934],{},[587,2189,937],{},[587,2191,596],{},[591,2193,942],{},[587,2195,589],{},[591,2197,593],{},[587,2199,596],{},[598,2201,2202],{"encoding":600},"\\int \\sin x\\,dx = \\cos x",[568,2204,2206,2248],{"className":2205,"ariaHidden":606},[605],[568,2207,2209,2213,2218,2221,2224,2227,2230,2233,2236,2239,2242,2245],{"className":2208},[610],[568,2210],{"className":2211,"style":2212},[614],"height:1.1111em;vertical-align:-0.3061em;",[568,2214,917],{"className":2215,"style":2217},[619,1026,2216],"small-op","margin-right:0.1945em;position:relative;top:-0.0006em;",[568,2219],{"className":2220,"style":624},[623],[568,2222,648],{"className":2223},[619],[568,2225],{"className":2226,"style":624},[623],[568,2228,596],{"className":2229},[628,629],[568,2231],{"className":2232,"style":624},[623],[568,2234,937],{"className":2235},[628,629],[568,2237,596],{"className":2238},[628,629],[568,2240],{"className":2241,"style":1119},[623],[568,2243,942],{"className":2244},[1123],[568,2246],{"className":2247,"style":1119},[623],[568,2249,2251,2254,2257,2260],{"className":2250},[610],[568,2252],{"className":2253,"style":615},[614],[568,2255,589],{"className":2256},[619],[568,2258],{"className":2259,"style":624},[623],[568,2261,596],{"className":2262},[628,629],[852,2264,2265],{},"falsch",". Zur Kontrolle leitet man das Ergebnis ab.",[2163,2268,2269,2270,2411,2412,2154],{},"Beim Einsetzen das Minus vor der Klammer verlieren: ",[568,2271,2273,2315],{"className":2272},[571],[568,2274,2276],{"className":2275},[575],[577,2277,2278],{"xmlns":579},[581,2279,2280,2312],{},[584,2281,2282,2284,2286,2288,2290,2292,2294,2296,2298,2300,2302,2304,2306,2308,2310],{},[591,2283,645],{},[587,2285,589],{},[591,2287,593],{},[587,2289,924],{},[591,2291,645],{},[591,2293,980],{"stretchy":979},[591,2295,645],{},[587,2297,589],{},[591,2299,593],{},[919,2301,921],{},[591,2303,991],{"stretchy":979},[591,2305,942],{},[919,2307,996],{},[591,2309,999],{},[919,2311,996],{},[598,2313,2314],{"encoding":600},"-\\cos \\pi - (-\\cos 0) = 1 + 1",[568,2316,2318,2348,2384,2402],{"className":2317,"ariaHidden":606},[605],[568,2319,2321,2324,2327,2330,2333,2336,2339,2342,2345],{"className":2320},[610],[568,2322],{"className":2323,"style":714},[614],[568,2325,645],{"className":2326},[628],[568,2328],{"className":2329,"style":624},[623],[568,2331,589],{"className":2332},[619],[568,2334],{"className":2335,"style":624},[623],[568,2337,924],{"className":2338,"style":1080},[628,629],[568,2340],{"className":2341,"style":1251},[623],[568,2343,645],{"className":2344},[1255],[568,2346],{"className":2347,"style":1251},[623],[568,2349,2351,2354,2357,2360,2363,2366,2369,2372,2375,2378,2381],{"className":2350},[610],[568,2352],{"className":2353,"style":1265},[614],[568,2355,980],{"className":2356},[1144],[568,2358,645],{"className":2359},[628],[568,2361],{"className":2362,"style":624},[623],[568,2364,589],{"className":2365},[619],[568,2367],{"className":2368,"style":624},[623],[568,2370,921],{"className":2371},[628],[568,2373,991],{"className":2374},[1165],[568,2376],{"className":2377,"style":1119},[623],[568,2379,942],{"className":2380},[1123],[568,2382],{"className":2383,"style":1119},[623],[568,2385,2387,2390,2393,2396,2399],{"className":2386},[610],[568,2388],{"className":2389,"style":1302},[614],[568,2391,996],{"className":2392},[628],[568,2394],{"className":2395,"style":1251},[623],[568,2397,999],{"className":2398},[1255],[568,2400],{"className":2401,"style":1251},[623],[568,2403,2405,2408],{"className":2404},[610],[568,2406],{"className":2407,"style":1321},[614],[568,2409,996],{"className":2410},[628],", nicht ",[568,2413,2415,2433],{"className":2414},[571],[568,2416,2418],{"className":2417},[575],[577,2419,2420],{"xmlns":579},[581,2421,2422,2430],{},[584,2423,2424,2426,2428],{},[919,2425,996],{},[591,2427,645],{},[919,2429,996],{},[598,2431,2432],{"encoding":600},"1 - 1",[568,2434,2436,2454],{"className":2435,"ariaHidden":606},[605],[568,2437,2439,2442,2445,2448,2451],{"className":2438},[610],[568,2440],{"className":2441,"style":1302},[614],[568,2443,996],{"className":2444},[628],[568,2446],{"className":2447,"style":1251},[623],[568,2449,645],{"className":2450},[1255],[568,2452],{"className":2453,"style":1251},[623],[568,2455,2457,2460],{"className":2456},[610],[568,2458],{"className":2459,"style":1321},[614],[568,2461,996],{"className":2462},[628],[2163,2464,2465],{},"Mit dem Taschenrechner im Gradmaß (DEG) rechnen.",{"title":2467,"searchDepth":2468,"depth":2468,"links":2469},"",2,[2470,2471,2472],{"id":561,"depth":2468,"text":562},{"id":890,"depth":2468,"text":891},{"id":2157,"depth":2468,"text":2158},[2474,2476,2478,2480,2482],{"lhs":2475,"rhs":1006},"round(sum(map(0:999, f(k) = sin((k + 0.5) * pi \u002F 1000))) * pi \u002F 1000, 4)",{"lhs":2477,"rhs":1006},"-cos(pi) - (-cos(0))",{"lhs":2479,"rhs":996},"-cos(pi\u002F2) - (-cos(0))",{"lhs":2481,"rhs":921},"-cos(2*pi) - (-cos(0))",{"lhs":2483,"rhs":2102},"2 * 2","x \\text{ im Bogenmaß}","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan> \u003Cspan class=\"katex\">im Bogenmaß\u003C\u002Fspan>",null,"md","integral-sine","\\int \\sin x \\, dx = -\\cos x + C","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" display=\"block\">\u003Csemantics>\u003Cmrow>\u003Cmo>∫\u003C\u002Fmo>\u003Cmi>sin\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmtext> \u003C\u002Fmtext>\u003Cmi>d\u003C\u002Fmi>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>cos\u003C\u002Fmi>\u003Cmo>⁡\u003C\u002Fmo>\u003Cmi>x\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>C\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">\\int \\sin x \\, dx = -\\cos x + C\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:2.2222em;vertical-align:-0.8622em;\">\u003C\u002Fspan>\u003Cspan class=\"mop op-symbol large-op\" style=\"margin-right:0.4445em;position:relative;top:-0.0011em;\">∫\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">sin\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">d\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003Cspan class=\"mrel\">=\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2778em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6667em;vertical-align:-0.0833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">−\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mop\">cos\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.1667em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003Cspan class=\"mbin\">+\u003C\u002Fspan>\u003Cspan class=\"mspace\" style=\"margin-right:0.2222em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"katex-base\">\u003Cspan class=\"katex-strut\" style=\"height:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","upper",{},true,"\u002Fde\u002Fformulas\u002Fmath\u002Fcalculus\u002Fintegral-sinus",[],[2497,2498,2499,2500],"integral-cosine","fundamental-theorem","degrees-radians","integral-additivity",{"title":548,"description":2467},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Fintegral-sinus","Eine Stammfunktion des Sinus ist der negative Kosinus.",[2505,2506,2507,2508],"sinus","stammfunktion","integral","trigonometrie",[2510,2513],{"symbol":596,"meaning":2511,"symbolHtml":2512},"Integrationsvariable, Winkel im Bogenmaß","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>x\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x\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:0.4306em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",{"symbol":2514,"meaning":2515,"symbolHtml":2516},"C","Integrationskonstante","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>C\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">C\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:0.6833em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0715em;\">C\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>","Vf2iRwJ1MCI8MGSSEJK9F2G67voreb8Zqa8pO8JiXro",[2519,2522,2525,2528],{"stem":2520,"title":2521,"category":101},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Fhauptsatz-der-differential-und-integralrechnung","Hauptsatz der Differential- und Integralrechnung",{"stem":2523,"title":2524,"category":101},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Fintegral-kosinus","Integral des Kosinus",{"stem":2526,"title":2527,"category":101},"de\u002Fformulas\u002Fmath\u002Fcalculus\u002Fintervalladditivitaet","Intervalladditivität",{"stem":2529,"title":2530,"category":518},"de\u002Fformulas\u002Fmath\u002Ftrigonometry\u002Fumrechnung-gradmass-bogenmass","Umrechnung Gradmaß in Bogenmaß",1793824282135]