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",[571,1148,1150,1198],{"className":1149},[574],[571,1151,1153],{"className":1152},[578],[580,1154,1155],{"xmlns":582},[584,1156,1157,1195],{},[587,1158,1159,1171],{},[763,1160,1161,1169],{},[587,1162,1163,1165,1167],{},[590,1164,643],{},[631,1166,793],{},[590,1168,637],{},[768,1170,770],{},[587,1172,1173,1175,1177,1179,1181,1183,1185,1187,1189,1191,1193],{},[631,1174,775],{"fence":601},[590,1176,592],{},[631,1178,775],{"stretchy":633},[590,1180,637],{},[631,1182,799],{"stretchy":633},[631,1184,802],{},[590,1186,592],{},[631,1188,775],{"stretchy":633},[590,1190,643],{},[631,1192,799],{"stretchy":633},[631,1194,799],{"fence":601},[594,1196,1197],{"encoding":596},"\\frac{b - a}{2}\\left(f(a) + f(b)\\right)",[571,1199,1201],{"className":1200,"ariaHidden":601},[600],[571,1202,1204,1207,1281,1284],{"className":1203},[605],[571,1205],{"className":1206,"style":829},[609],[571,1208,1210,1213,1278],{"className":1209},[614],[571,1211],{"className":1212},[663,836],[571,1214,1216],{"className":1215},[763],[571,1217,1219,1270],{"className":1218},[843,844],[571,1220,1222,1267],{"className":1221},[848],[571,1223,1225,1239,1247],{"className":1224,"style":853},[852],[571,1226,1227,1230],{"style":856},[571,1228],{"className":1229,"style":861},[860],[571,1231,1233],{"className":1232},[865,866,867,868],[571,1234,1236],{"className":1235},[614,868],[571,1237,770],{"className":1238},[614,868],[571,1240,1241,1244],{"style":877},[571,1242],{"className":1243,"style":861},[860],[571,1245],{"className":1246,"style":885},[884],[571,1248,1249,1252],{"style":888},[571,1250],{"className":1251,"style":861},[860],[571,1253,1255],{"className":1254},[865,866,867,868],[571,1256,1258,1261,1264],{"className":1257},[614,868],[571,1259,643],{"className":1260},[614,615,868],[571,1262,793],{"className":1263},[976,868],[571,1265,637],{"className":1266},[614,615,868],[571,1268,905],{"className":1269},[904],[571,1271,1273],{"className":1272},[848],[571,1274,1276],{"className":1275,"style":912},[852],[571,1277],{},[571,1279],{"className":1280},[682,836],[571,1282],{"className":1283,"style":675},[674],[571,1285,1287,1290,1293,1296,1299,1302,1305,1308,1311,1314,1317,1320,1323],{"className":1286},[924],[571,1288,775],{"className":1289,"style":929},[663,928],[571,1291,592],{"className":1292,"style":616},[614,615],[571,1294,775],{"className":1295},[663],[571,1297,637],{"className":1298},[614,615],[571,1300,799],{"className":1301},[682],[571,1303],{"className":1304,"style":998},[674],[571,1306,802],{"className":1307},[976],[571,1309],{"className":1310,"style":998},[674],[571,1312,592],{"className":1313,"style":616},[614,615],[571,1315,775],{"className":1316},[663],[571,1318,643],{"className":1319},[614,615],[571,1321,799],{"className":1322},[682],[571,1324,799],{"className":1325,"style":929},[682,928],[563,1327,1328,1329,1357],{},"Ist ",[571,1330,1332,1345],{"className":1331},[574],[571,1333,1335],{"className":1334},[578],[580,1336,1337],{"xmlns":582},[584,1338,1339,1343],{},[587,1340,1341],{},[590,1342,592],{},[594,1344,592],{"encoding":596},[571,1346,1348],{"className":1347,"ariaHidden":601},[600],[571,1349,1351,1354],{"className":1350},[605],[571,1352],{"className":1353,"style":610},[609],[571,1355,592],{"className":1356,"style":616},[614,615]," zweimal stetig differenzierbar, gilt für den Fehler",[571,1359,1362],{"className":1360},[1361],"katex-display",[571,1363,1365,1467],{"className":1364},[574],[571,1366,1368],{"className":1367},[578],[580,1369,1371],{"xmlns":582,"display":1370},"block",[584,1372,1373,1464],{},[587,1374,1375,1385,1387,1389,1391,1393,1397,1400,1402,1404,1407,1409,1411,1413,1415,1417,1443,1445,1457,1459,1462],{},[1376,1377,1378,1381,1383],"msubsup",{},[631,1379,1380],{},"∫",[590,1382,637],{},[590,1384,643],{},[590,1386,592],{},[631,1388,775],{"stretchy":633},[590,1390,785],{},[631,1392,799],{"stretchy":633},[1394,1395,1396],"mtext",{}," ",[590,1398,1399],{},"d",[590,1401,785],{},[631,1403,793],{},[590,1405,1406],{},"T",[631,1408,775],{"stretchy":633},[590,1410,729],{},[631,1412,799],{"stretchy":633},[631,1414,1108],{},[631,1416,793],{},[763,1418,1419,1440],{},[587,1420,1421,1423,1425,1427,1429,1431,1433],{},[631,1422,775],{"stretchy":633},[590,1424,643],{},[631,1426,793],{},[590,1428,637],{},[631,1430,799],{"stretchy":633},[1394,1432,1396],{},[1434,1435,1436,1438],"msup",{},[590,1437,729],{},[768,1439,770],{},[768,1441,1442],{},"12",[1394,1444,1396],{},[1434,1446,1447,1449],{},[590,1448,592],{},[587,1450,1451,1455],{},[631,1452,1454],{"mathvariant":1453},"normal","′",[631,1456,1454],{"mathvariant":1453},[631,1458,775],{"stretchy":633},[590,1460,1461],{},"ξ",[631,1463,799],{"stretchy":633},[594,1465,1466],{"encoding":596},"\\int_a^b f(x)\\,dx - T(h) = -\\frac{(b - a) \\, h^2}{12} \\, f''(\\xi)",[571,1468,1470,1569,1597],{"className":1469,"ariaHidden":601},[600],[571,1471,1473,1477,1536,1539,1542,1545,1548,1551,1554,1557,1560,1563,1566],{"className":1472},[605],[571,1474],{"className":1475,"style":1476},[609],"height:2.511em;vertical-align:-0.9119em;",[571,1478,1481,1487],{"className":1479},[1480],"mop",[571,1482,1380],{"className":1483,"style":1486},[1480,1484,1485],"op-symbol","large-op","margin-right:0.4445em;position:relative;top:-0.0011em;",[571,1488,1490],{"className":1489},[945],[571,1491,1493,1527],{"className":1492},[843,844],[571,1494,1496,1524],{"className":1495},[848],[571,1497,1500,1512],{"className":1498,"style":1499},[852],"height:1.599em;",[571,1501,1503,1506],{"style":1502},"top:-1.7881em;margin-left:-0.4445em;margin-right:0.05em;",[571,1504],{"className":1505,"style":962},[860],[571,1507,1509],{"className":1508},[865,866,867,868],[571,1510,637],{"className":1511},[614,615,868],[571,1513,1515,1518],{"style":1514},"top:-3.8129em;margin-right:0.05em;",[571,1516],{"className":1517,"style":962},[860],[571,1519,1521],{"className":1520},[865,866,867,868],[571,1522,643],{"className":1523},[614,615,868],[571,1525,905],{"className":1526},[904],[571,1528,1530],{"className":1529},[848],[571,1531,1534],{"className":1532,"style":1533},[852],"height:0.9119em;",[571,1535],{},[571,1537],{"className":1538,"style":675},[674],[571,1540,592],{"className":1541,"style":616},[614,615],[571,1543,775],{"className":1544},[663],[571,1546,785],{"className":1547},[614,615],[571,1549,799],{"className":1550},[682],[571,1552],{"className":1553,"style":675},[674],[571,1555,1399],{"className":1556},[614,615],[571,1558,785],{"className":1559},[614,615],[571,1561],{"className":1562,"style":998},[674],[571,1564,793],{"className":1565},[976],[571,1567],{"className":1568,"style":998},[674],[571,1570,1572,1575,1579,1582,1585,1588,1591,1594],{"className":1571},[605],[571,1573],{"className":1574,"style":659},[609],[571,1576,1406],{"className":1577,"style":1578},[614,615],"margin-right:0.1389em;",[571,1580,775],{"className":1581},[663],[571,1583,729],{"className":1584},[614,615],[571,1586,799],{"className":1587},[682],[571,1589],{"className":1590,"style":1129},[674],[571,1592,1108],{"className":1593},[1133],[571,1595],{"className":1596,"style":1129},[674],[571,1598,1600,1604,1607,1725,1728,1763,1766,1770],{"className":1599},[605],[571,1601],{"className":1602,"style":1603},[609],"height:2.1771em;vertical-align:-0.686em;",[571,1605,793],{"className":1606},[614],[571,1608,1610,1613,1722],{"className":1609},[614],[571,1611],{"className":1612},[663,836],[571,1614,1616],{"className":1615},[763],[571,1617,1619,1713],{"className":1618},[843,844],[571,1620,1622,1710],{"className":1621},[848],[571,1623,1626,1638,1646],{"className":1624,"style":1625},[852],"height:1.4911em;",[571,1627,1629,1632],{"style":1628},"top:-2.314em;",[571,1630],{"className":1631,"style":861},[860],[571,1633,1635],{"className":1634},[614],[571,1636,1442],{"className":1637},[614],[571,1639,1640,1643],{"style":877},[571,1641],{"className":1642,"style":861},[860],[571,1644],{"className":1645,"style":885},[884],[571,1647,1649,1652],{"style":1648},"top:-3.677em;",[571,1650],{"className":1651,"style":861},[860],[571,1653,1655,1658,1661,1664,1667,1670,1673,1676,1679],{"className":1654},[614],[571,1656,775],{"className":1657},[663],[571,1659,643],{"className":1660},[614,615],[571,1662],{"className":1663,"style":998},[674],[571,1665,793],{"className":1666},[976],[571,1668],{"className":1669,"style":998},[674],[571,1671,637],{"className":1672},[614,615],[571,1674,799],{"className":1675},[682],[571,1677],{"className":1678,"style":675},[674],[571,1680,1682,1685],{"className":1681},[614],[571,1683,729],{"className":1684},[614,615],[571,1686,1688],{"className":1687},[945],[571,1689,1691],{"className":1690},[843],[571,1692,1694],{"className":1693},[848],[571,1695,1698],{"className":1696,"style":1697},[852],"height:0.8141em;",[571,1699,1701,1704],{"style":1700},"top:-3.063em;margin-right:0.05em;",[571,1702],{"className":1703,"style":962},[860],[571,1705,1707],{"className":1706},[865,866,867,868],[571,1708,770],{"className":1709},[614,868],[571,1711,905],{"className":1712},[904],[571,1714,1716],{"className":1715},[848],[571,1717,1720],{"className":1718,"style":1719},[852],"height:0.686em;",[571,1721],{},[571,1723],{"className":1724},[682,836],[571,1726],{"className":1727,"style":675},[674],[571,1729,1731,1734],{"className":1730},[614],[571,1732,592],{"className":1733,"style":616},[614,615],[571,1735,1737],{"className":1736},[945],[571,1738,1740],{"className":1739},[843],[571,1741,1743],{"className":1742},[848],[571,1744,1747],{"className":1745,"style":1746},[852],"height:0.8019em;",[571,1748,1750,1753],{"style":1749},"top:-3.113em;margin-right:0.05em;",[571,1751],{"className":1752,"style":962},[860],[571,1754,1756],{"className":1755},[865,866,867,868],[571,1757,1759],{"className":1758},[614,868],[571,1760,1762],{"className":1761},[614,868],"′′",[571,1764,775],{"className":1765},[663],[571,1767,1461],{"className":1768,"style":1769},[614,615],"margin-right:0.046em;",[571,1771,799],{"className":1772},[682],[563,1774,1775,1776,1851,1852,1880,1881,1884,1885,1977],{},"für ein ",[571,1777,1779,1806],{"className":1778},[574],[571,1780,1782],{"className":1781},[578],[580,1783,1784],{"xmlns":582},[584,1785,1786,1803],{},[587,1787,1788,1790,1793,1795,1797,1799,1801],{},[590,1789,1461],{},[631,1791,1792],{},"∈",[631,1794,634],{"stretchy":633},[590,1796,637],{},[631,1798,640],{"separator":601},[590,1800,643],{},[631,1802,646],{"stretchy":633},[594,1804,1805],{"encoding":596},"\\xi \\in [a, b]",[571,1807,1809,1827],{"className":1808,"ariaHidden":601},[600],[571,1810,1812,1815,1818,1821,1824],{"className":1811},[605],[571,1813],{"className":1814,"style":610},[609],[571,1816,1461],{"className":1817,"style":1769},[614,615],[571,1819],{"className":1820,"style":1129},[674],[571,1822,1792],{"className":1823},[1133],[571,1825],{"className":1826,"style":1129},[674],[571,1828,1830,1833,1836,1839,1842,1845,1848],{"className":1829},[605],[571,1831],{"className":1832,"style":659},[609],[571,1834,634],{"className":1835},[663],[571,1837,637],{"className":1838},[614,615],[571,1840,640],{"className":1841},[670],[571,1843],{"className":1844,"style":675},[674],[571,1846,643],{"className":1847},[614,615],[571,1849,646],{"className":1850},[682],". Halbiert man ",[571,1853,1855,1868],{"className":1854},[574],[571,1856,1858],{"className":1857},[578],[580,1859,1860],{"xmlns":582},[584,1861,1862,1866],{},[587,1863,1864],{},[590,1865,729],{},[594,1867,729],{"encoding":596},[571,1869,1871],{"className":1870,"ariaHidden":601},[600],[571,1872,1874,1877],{"className":1873},[605],[571,1875],{"className":1876,"style":741},[609],[571,1878,729],{"className":1879},[614,615],", wird der Fehler etwa viermal kleiner (",[567,1882,1883],{},"Ordnung 2","). Lineare Funktionen werden exakt integriert. Bei konvexen Funktionen (",[571,1886,1888,1916],{"className":1887},[574],[571,1889,1891],{"className":1890},[578],[580,1892,1893],{"xmlns":582},[584,1894,1895,1913],{},[587,1896,1897,1907,1910],{},[1434,1898,1899,1901],{},[590,1900,592],{},[587,1902,1903,1905],{},[631,1904,1454],{"mathvariant":1453},[631,1906,1454],{"mathvariant":1453},[631,1908,1909],{},">",[768,1911,1912],{},"0",[594,1914,1915],{"encoding":596},"f'' > 0",[571,1917,1919,1968],{"className":1918,"ariaHidden":601},[600],[571,1920,1922,1926,1959,1962,1965],{"className":1921},[605],[571,1923],{"className":1924,"style":1925},[609],"height:0.9463em;vertical-align:-0.1944em;",[571,1927,1929,1932],{"className":1928},[614],[571,1930,592],{"className":1931,"style":616},[614,615],[571,1933,1935],{"className":1934},[945],[571,1936,1938],{"className":1937},[843],[571,1939,1941],{"className":1940},[848],[571,1942,1945],{"className":1943,"style":1944},[852],"height:0.7519em;",[571,1946,1947,1950],{"style":1700},[571,1948],{"className":1949,"style":962},[860],[571,1951,1953],{"className":1952},[865,866,867,868],[571,1954,1956],{"className":1955},[614,868],[571,1957,1762],{"className":1958},[614,868],[571,1960],{"className":1961,"style":1129},[674],[571,1963,1909],{"className":1964},[1133],[571,1966],{"className":1967,"style":1129},[674],[571,1969,1971,1974],{"className":1970},[605],[571,1972],{"className":1973,"style":1087},[609],[571,1975,1912],{"className":1976},[614],") liegt die Sehne über dem Graphen, die Trapezregel überschätzt dann das Integral.",[558,1979,1981],{"id":1980},"beispiele","Beispiele",[563,1983,1984,2221,2222,2274,2275,2338],{},[571,1985,1987,2028],{"className":1986},[574],[571,1988,1990],{"className":1989},[578],[580,1991,1992],{"xmlns":582},[584,1993,1994,2025],{},[587,1995,1996,2004,2010,2012,2014,2016,2018],{},[1376,1997,1998,2000,2002],{},[631,1999,1380],{},[768,2001,1912],{},[768,2003,796],{},[1434,2005,2006,2008],{},[590,2007,785],{},[768,2009,770],{},[1394,2011,1396],{},[590,2013,1399],{},[590,2015,785],{},[631,2017,1108],{},[763,2019,2020,2022],{},[768,2021,796],{},[768,2023,2024],{},"3",[594,2026,2027],{"encoding":596},"\\int_0^1 x^2\\,dx = \\frac{1}{3}",[571,2029,2031,2145],{"className":2030,"ariaHidden":601},[600],[571,2032,2034,2038,2095,2098,2127,2130,2133,2136,2139,2142],{"className":2033},[605],[571,2035],{"className":2036,"style":2037},[609],"height:1.3648em;vertical-align:-0.3558em;",[571,2039,2041,2046],{"className":2040},[1480],[571,2042,1380],{"className":2043,"style":2045},[1480,1484,2044],"small-op","margin-right:0.1945em;position:relative;top:-0.0006em;",[571,2047,2049],{"className":2048},[945],[571,2050,2052,2086],{"className":2051},[843,844],[571,2053,2055,2083],{"className":2054},[848],[571,2056,2059,2071],{"className":2057,"style":2058},[852],"height:1.009em;",[571,2060,2062,2065],{"style":2061},"top:-2.3442em;margin-left:-0.1945em;margin-right:0.05em;",[571,2063],{"className":2064,"style":962},[860],[571,2066,2068],{"className":2067},[865,866,867,868],[571,2069,1912],{"className":2070},[614,868],[571,2072,2074,2077],{"style":2073},"top:-3.2579em;margin-right:0.05em;",[571,2075],{"className":2076,"style":962},[860],[571,2078,2080],{"className":2079},[865,866,867,868],[571,2081,796],{"className":2082},[614,868],[571,2084,905],{"className":2085},[904],[571,2087,2089],{"className":2088},[848],[571,2090,2093],{"className":2091,"style":2092},[852],"height:0.3558em;",[571,2094],{},[571,2096],{"className":2097,"style":675},[674],[571,2099,2101,2104],{"className":2100},[614],[571,2102,785],{"className":2103},[614,615],[571,2105,2107],{"className":2106},[945],[571,2108,2110],{"className":2109},[843],[571,2111,2113],{"className":2112},[848],[571,2114,2116],{"className":2115,"style":1697},[852],[571,2117,2118,2121],{"style":1700},[571,2119],{"className":2120,"style":962},[860],[571,2122,2124],{"className":2123},[865,866,867,868],[571,2125,770],{"className":2126},[614,868],[571,2128],{"className":2129,"style":675},[674],[571,2131,1399],{"className":2132},[614,615],[571,2134,785],{"className":2135},[614,615],[571,2137],{"className":2138,"style":1129},[674],[571,2140,1108],{"className":2141},[1133],[571,2143],{"className":2144,"style":1129},[674],[571,2146,2148,2152],{"className":2147},[605],[571,2149],{"className":2150,"style":2151},[609],"height:1.1901em;vertical-align:-0.345em;",[571,2153,2155,2158,2218],{"className":2154},[614],[571,2156],{"className":2157},[663,836],[571,2159,2161],{"className":2160},[763],[571,2162,2164,2210],{"className":2163},[843,844],[571,2165,2167,2207],{"className":2166},[848],[571,2168,2171,2185,2193],{"className":2169,"style":2170},[852],"height:0.8451em;",[571,2172,2173,2176],{"style":856},[571,2174],{"className":2175,"style":861},[860],[571,2177,2179],{"className":2178},[865,866,867,868],[571,2180,2182],{"className":2181},[614,868],[571,2183,2024],{"className":2184},[614,868],[571,2186,2187,2190],{"style":877},[571,2188],{"className":2189,"style":861},[860],[571,2191],{"className":2192,"style":885},[884],[571,2194,2195,2198],{"style":888},[571,2196],{"className":2197,"style":861},[860],[571,2199,2201],{"className":2200},[865,866,867,868],[571,2202,2204],{"className":2203},[614,868],[571,2205,796],{"className":2206},[614,868],[571,2208,905],{"className":2209},[904],[571,2211,2213],{"className":2212},[848],[571,2214,2216],{"className":2215,"style":912},[852],[571,2217],{},[571,2219],{"className":2220},[682,836]," mit ",[571,2223,2225,2244],{"className":2224},[574],[571,2226,2228],{"className":2227},[578],[580,2229,2230],{"xmlns":582},[584,2231,2232,2241],{},[587,2233,2234,2236,2238],{},[590,2235,698],{},[631,2237,1108],{},[768,2239,2240],{},"4",[594,2242,2243],{"encoding":596},"n = 4",[571,2245,2247,2265],{"className":2246,"ariaHidden":601},[600],[571,2248,2250,2253,2256,2259,2262],{"className":2249},[605],[571,2251],{"className":2252,"style":710},[609],[571,2254,698],{"className":2255},[614,615],[571,2257],{"className":2258,"style":1129},[674],[571,2260,1108],{"className":2261},[1133],[571,2263],{"className":2264,"style":1129},[674],[571,2266,2268,2271],{"className":2267},[605],[571,2269],{"className":2270,"style":1087},[609],[571,2272,2240],{"className":2273},[614],", also ",[571,2276,2278,2297],{"className":2277},[574],[571,2279,2281],{"className":2280},[578],[580,2282,2283],{"xmlns":582},[584,2284,2285,2294],{},[587,2286,2287,2289,2291],{},[590,2288,729],{},[631,2290,1108],{},[768,2292,2293],{},"0,25",[594,2295,2296],{"encoding":596},"h = 0{,}25",[571,2298,2300,2318],{"className":2299,"ariaHidden":601},[600],[571,2301,2303,2306,2309,2312,2315],{"className":2302},[605],[571,2304],{"className":2305,"style":741},[609],[571,2307,729],{"className":2308},[614,615],[571,2310],{"className":2311,"style":1129},[674],[571,2313,1108],{"className":2314},[1133],[571,2316],{"className":2317,"style":1129},[674],[571,2319,2321,2325,2328,2334],{"className":2320},[605],[571,2322],{"className":2323,"style":2324},[609],"height:0.8389em;vertical-align:-0.1944em;",[571,2326,1912],{"className":2327},[614],[571,2329,2331],{"className":2330},[614],[571,2332,640],{"className":2333},[670],[571,2335,2337],{"className":2336},[614],"25",":",[571,2340,2342],{"className":2341},[1361],[571,2343,2345,2407],{"className":2344},[574],[571,2346,2348],{"className":2347},[578],[580,2349,2350],{"xmlns":582,"display":1370},[584,2351,2352,2404],{},[587,2353,2354,2356,2358,2364,2399,2401],{},[590,2355,1406],{},[631,2357,1108],{},[763,2359,2360,2362],{},[768,2361,2293],{},[768,2363,770],{},[587,2365,2366,2368,2370,2372,2374,2377,2379,2382,2384,2386,2388,2391,2393,2395,2397],{},[631,2367,775],{"fence":601},[768,2369,1912],{},[631,2371,802],{},[768,2373,770],{},[631,2375,2376],{},"⋅",[631,2378,775],{"stretchy":633},[768,2380,2381],{},"0,0625",[631,2383,802],{},[768,2385,2293],{},[631,2387,802],{},[768,2389,2390],{},"0,5625",[631,2392,799],{"stretchy":633},[631,2394,802],{},[768,2396,796],{},[631,2398,799],{"fence":601},[631,2400,1108],{},[768,2402,2403],{},"0,34375",[594,2405,2406],{"encoding":596},"T = \\frac{0{,}25}{2} \\left( 0 + 2 \\cdot (0{,}0625 + 0{,}25 + 0{,}5625) + 1 \\right) = 0{,}34375",[571,2408,2410,2429,2627],{"className":2409,"ariaHidden":601},[600],[571,2411,2413,2417,2420,2423,2426],{"className":2412},[605],[571,2414],{"className":2415,"style":2416},[609],"height:0.6833em;",[571,2418,1406],{"className":2419,"style":1578},[614,615],[571,2421],{"className":2422,"style":1129},[674],[571,2424,1108],{"className":2425},[1133],[571,2427],{"className":2428,"style":1129},[674],[571,2430,2432,2436,2508,2511,2618,2621,2624],{"className":2431},[605],[571,2433],{"className":2434,"style":2435},[609],"height:2.0074em;vertical-align:-0.686em;",[571,2437,2439,2442,2505],{"className":2438},[614],[571,2440],{"className":2441},[663,836],[571,2443,2445],{"className":2444},[763],[571,2446,2448,2497],{"className":2447},[843,844],[571,2449,2451,2494],{"className":2450},[848],[571,2452,2455,2466,2474],{"className":2453,"style":2454},[852],"height:1.3214em;",[571,2456,2457,2460],{"style":1628},[571,2458],{"className":2459,"style":861},[860],[571,2461,2463],{"className":2462},[614],[571,2464,770],{"className":2465},[614],[571,2467,2468,2471],{"style":877},[571,2469],{"className":2470,"style":861},[860],[571,2472],{"className":2473,"style":885},[884],[571,2475,2476,2479],{"style":1648},[571,2477],{"className":2478,"style":861},[860],[571,2480,2482,2485,2491],{"className":2481},[614],[571,2483,1912],{"className":2484},[614],[571,2486,2488],{"className":2487},[614],[571,2489,640],{"className":2490},[670],[571,2492,2337],{"className":2493},[614],[571,2495,905],{"className":2496},[904],[571,2498,2500],{"className":2499},[848],[571,2501,2503],{"className":2502,"style":1719},[852],[571,2504],{},[571,2506],{"className":2507},[682,836],[571,2509],{"className":2510,"style":675},[674],[571,2512,2514,2517,2520,2523,2526,2529,2532,2535,2538,2541,2544,2547,2553,2557,2560,2563,2566,2569,2575,2578,2581,2584,2587,2590,2596,2600,2603,2606,2609,2612,2615],{"className":2513},[924],[571,2515,775],{"className":2516,"style":929},[663,928],[571,2518,1912],{"className":2519},[614],[571,2521],{"className":2522,"style":998},[674],[571,2524,802],{"className":2525},[976],[571,2527],{"className":2528,"style":998},[674],[571,2530,770],{"className":2531},[614],[571,2533],{"className":2534,"style":998},[674],[571,2536,2376],{"className":2537},[976],[571,2539],{"className":2540,"style":998},[674],[571,2542,775],{"className":2543},[663],[571,2545,1912],{"className":2546},[614],[571,2548,2550],{"className":2549},[614],[571,2551,640],{"className":2552},[670],[571,2554,2556],{"className":2555},[614],"0625",[571,2558],{"className":2559,"style":998},[674],[571,2561,802],{"className":2562},[976],[571,2564],{"className":2565,"style":998},[674],[571,2567,1912],{"className":2568},[614],[571,2570,2572],{"className":2571},[614],[571,2573,640],{"className":2574},[670],[571,2576,2337],{"className":2577},[614],[571,2579],{"className":2580,"style":998},[674],[571,2582,802],{"className":2583},[976],[571,2585],{"className":2586,"style":998},[674],[571,2588,1912],{"className":2589},[614],[571,2591,2593],{"className":2592},[614],[571,2594,640],{"className":2595},[670],[571,2597,2599],{"className":2598},[614],"5625",[571,2601,799],{"className":2602},[682],[571,2604],{"className":2605,"style":998},[674],[571,2607,802],{"className":2608},[976],[571,2610],{"className":2611,"style":998},[674],[571,2613,796],{"className":2614},[614],[571,2616,799],{"className":2617,"style":929},[682,928],[571,2619],{"className":2620,"style":1129},[674],[571,2622,1108],{"className":2623},[1133],[571,2625],{"className":2626,"style":1129},[674],[571,2628,2630,2633,2636,2642],{"className":2629},[605],[571,2631],{"className":2632,"style":2324},[609],[571,2634,1912],{"className":2635},[614],[571,2637,2639],{"className":2638},[614],[571,2640,640],{"className":2641},[670],[571,2643,2645],{"className":2644},[614],"34375",[563,2647,2648,2649,2904,2905,2993,2994,3177],{},"Der Fehler ist ",[571,2650,2652,2689],{"className":2651},[574],[571,2653,2655],{"className":2654},[578],[580,2656,2657],{"xmlns":582},[584,2658,2659,2686],{},[587,2660,2661,2663,2665,2671,2673,2680,2683],{},[768,2662,2403],{},[631,2664,793],{},[763,2666,2667,2669],{},[768,2668,796],{},[768,2670,2024],{},[631,2672,1108],{},[763,2674,2675,2677],{},[768,2676,796],{},[768,2678,2679],{},"96",[631,2681,2682],{},"≈",[768,2684,2685],{},"0,0104",[594,2687,2688],{"encoding":596},"0{,}34375 - \\frac{1}{3} = \\frac{1}{96} \\approx 0{,}0104",[571,2690,2692,2719,2802,2885],{"className":2691,"ariaHidden":601},[600],[571,2693,2695,2698,2701,2707,2710,2713,2716],{"className":2694},[605],[571,2696],{"className":2697,"style":2324},[609],[571,2699,1912],{"className":2700},[614],[571,2702,2704],{"className":2703},[614],[571,2705,640],{"className":2706},[670],[571,2708,2645],{"className":2709},[614],[571,2711],{"className":2712,"style":998},[674],[571,2714,793],{"className":2715},[976],[571,2717],{"className":2718,"style":998},[674],[571,2720,2722,2725,2793,2796,2799],{"className":2721},[605],[571,2723],{"className":2724,"style":2151},[609],[571,2726,2728,2731,2790],{"className":2727},[614],[571,2729],{"className":2730},[663,836],[571,2732,2734],{"className":2733},[763],[571,2735,2737,2782],{"className":2736},[843,844],[571,2738,2740,2779],{"className":2739},[848],[571,2741,2743,2757,2765],{"className":2742,"style":2170},[852],[571,2744,2745,2748],{"style":856},[571,2746],{"className":2747,"style":861},[860],[571,2749,2751],{"className":2750},[865,866,867,868],[571,2752,2754],{"className":2753},[614,868],[571,2755,2024],{"className":2756},[614,868],[571,2758,2759,2762],{"style":877},[571,2760],{"className":2761,"style":861},[860],[571,2763],{"className":2764,"style":885},[884],[571,2766,2767,2770],{"style":888},[571,2768],{"className":2769,"style":861},[860],[571,2771,2773],{"className":2772},[865,866,867,868],[571,2774,2776],{"className":2775},[614,868],[571,2777,796],{"className":2778},[614,868],[571,2780,905],{"className":2781},[904],[571,2783,2785],{"className":2784},[848],[571,2786,2788],{"className":2787,"style":912},[852],[571,2789],{},[571,2791],{"className":2792},[682,836],[571,2794],{"className":2795,"style":1129},[674],[571,2797,1108],{"className":2798},[1133],[571,2800],{"className":2801,"style":1129},[674],[571,2803,2805,2808,2876,2879,2882],{"className":2804},[605],[571,2806],{"className":2807,"style":2151},[609],[571,2809,2811,2814,2873],{"className":2810},[614],[571,2812],{"className":2813},[663,836],[571,2815,2817],{"className":2816},[763],[571,2818,2820,2865],{"className":2819},[843,844],[571,2821,2823,2862],{"className":2822},[848],[571,2824,2826,2840,2848],{"className":2825,"style":2170},[852],[571,2827,2828,2831],{"style":856},[571,2829],{"className":2830,"style":861},[860],[571,2832,2834],{"className":2833},[865,866,867,868],[571,2835,2837],{"className":2836},[614,868],[571,2838,2679],{"className":2839},[614,868],[571,2841,2842,2845],{"style":877},[571,2843],{"className":2844,"style":861},[860],[571,2846],{"className":2847,"style":885},[884],[571,2849,2850,2853],{"style":888},[571,2851],{"className":2852,"style":861},[860],[571,2854,2856],{"className":2855},[865,866,867,868],[571,2857,2859],{"className":2858},[614,868],[571,2860,796],{"className":2861},[614,868],[571,2863,905],{"className":2864},[904],[571,2866,2868],{"className":2867},[848],[571,2869,2871],{"className":2870,"style":912},[852],[571,2872],{},[571,2874],{"className":2875},[682,836],[571,2877],{"className":2878,"style":1129},[674],[571,2880,2682],{"className":2881},[1133],[571,2883],{"className":2884,"style":1129},[674],[571,2886,2888,2891,2894,2900],{"className":2887},[605],[571,2889],{"className":2890,"style":2324},[609],[571,2892,1912],{"className":2893},[614],[571,2895,2897],{"className":2896},[614],[571,2898,640],{"className":2899},[670],[571,2901,2903],{"className":2902},[614],"0104",". Wegen ",[571,2906,2908,2934],{"className":2907},[574],[571,2909,2911],{"className":2910},[578],[580,2912,2913],{"xmlns":582},[584,2914,2915,2931],{},[587,2916,2917,2927,2929],{},[1434,2918,2919,2921],{},[590,2920,592],{},[587,2922,2923,2925],{},[631,2924,1454],{"mathvariant":1453},[631,2926,1454],{"mathvariant":1453},[631,2928,1108],{},[768,2930,770],{},[594,2932,2933],{"encoding":596},"f'' = 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",[571,2995,2997,3029],{"className":2996},[574],[571,2998,3000],{"className":2999},[578],[580,3001,3002],{"xmlns":582},[584,3003,3004,3026],{},[587,3005,3006,3022,3024],{},[763,3007,3008,3020],{},[587,3009,3010,3012,3014],{},[768,3011,796],{},[631,3013,2376],{},[1434,3015,3016,3018],{},[768,3017,2293],{},[768,3019,770],{},[768,3021,1442],{},[631,3023,2376],{},[768,3025,770],{},[594,3027,3028],{"encoding":596},"\\frac{1 \\cdot 0{,}25^2}{12} \\cdot 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Mit ",[571,3424,3426,3444],{"className":3425},[574],[571,3427,3429],{"className":3428},[578],[580,3430,3431],{"xmlns":582},[584,3432,3433,3441],{},[587,3434,3435,3437,3439],{},[590,3436,698],{},[631,3438,1108],{},[768,3440,770],{},[594,3442,3443],{"encoding":596},"n = 2",[571,3445,3447,3465],{"className":3446,"ariaHidden":601},[600],[571,3448,3450,3453,3456,3459,3462],{"className":3449},[605],[571,3451],{"className":3452,"style":710},[609],[571,3454,698],{"className":3455},[614,615],[571,3457],{"className":3458,"style":1129},[674],[571,3460,1108],{"className":3461},[1133],[571,3463],{"className":3464,"style":1129},[674],[571,3466,3468,3471],{"className":3467},[605],[571,3469],{"className":3470,"style":1087},[609],[571,3472,770],{"className":3473},[614],", 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= \\frac{0{,}5}{2} \\left( 1 + 2 \\cdot \\frac{1}{1{,}5} + \\frac{1}{2} \\right) = \\frac{17}{24} \\approx 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",[571,4053,4055,4070],{"className":4054},[574],[571,4056,4058],{"className":4057},[578],[580,4059,4060],{"xmlns":582},[584,4061,4062,4067],{},[587,4063,4064],{},[768,4065,4066],{},"0,6970",[594,4068,4069],{"encoding":596},"0{,}6970",[571,4071,4073],{"className":4072,"ariaHidden":601},[600],[571,4074,4076,4079,4082,4088],{"className":4075},[605],[571,4077],{"className":4078,"style":2324},[609],[571,4080,1912],{"className":4081},[614],[571,4083,4085],{"className":4084},[614],[571,4086,640],{"className":4087},[670],[571,4089,4091],{"className":4090},[614],"6970",". Der Fehler sinkt von etwa ",[571,4094,4096,4111],{"className":4095},[574],[571,4097,4099],{"className":4098},[578],[580,4100,4101],{"xmlns":582},[584,4102,4103,4108],{},[587,4104,4105],{},[768,4106,4107],{},"0,0152",[594,4109,4110],{"encoding":596},"0{,}0152",[571,4112,4114],{"className":4113,"ariaHidden":601},[600],[571,4115,4117,4120,4123,4129],{"className":4116},[605],[571,4118],{"className":4119,"style":2324},[609],[571,4121,1912],{"className":4122},[614],[571,4124,4126],{"className":4125},[614],[571,4127,640],{"className":4128},[670],[571,4130,4132],{"className":4131},[614],"0152"," auf ",[571,4135,4137,4152],{"className":4136},[574],[571,4138,4140],{"className":4139},[578],[580,4141,4142],{"xmlns":582},[584,4143,4144,4149],{},[587,4145,4146],{},[768,4147,4148],{},"0,0039",[594,4150,4151],{"encoding":596},"0{,}0039",[571,4153,4155],{"className":4154,"ariaHidden":601},[600],[571,4156,4158,4161,4164,4170],{"className":4157},[605],[571,4159],{"className":4160,"style":2324},[609],[571,4162,1912],{"className":4163},[614],[571,4165,4167],{"className":4166},[614],[571,4168,640],{"className":4169},[670],[571,4171,4173],{"className":4172},[614],"0039",", also ungefähr auf ein Viertel.",[558,4176,4178],{"id":4177},"typische-fehler","Typische Fehler",[4180,4181,4182,4186,4328,4430],"ul",{},[4183,4184,4185],"li",{},"Die inneren Funktionswerte nicht verdoppeln oder die Randwerte verdoppeln.",[4183,4187,4188,4216,4217,4245,4246,4274,4275,4327],{},[571,4189,4191,4204],{"className":4190},[574],[571,4192,4194],{"className":4193},[578],[580,4195,4196],{"xmlns":582},[584,4197,4198,4202],{},[587,4199,4200],{},[590,4201,729],{},[594,4203,729],{"encoding":596},[571,4205,4207],{"className":4206,"ariaHidden":601},[600],[571,4208,4210,4213],{"className":4209},[605],[571,4211],{"className":4212,"style":741},[609],[571,4214,729],{"className":4215},[614,615]," und ",[571,4218,4220,4233],{"className":4219},[574],[571,4221,4223],{"className":4222},[578],[580,4224,4225],{"xmlns":582},[584,4226,4227,4231],{},[587,4228,4229],{},[590,4230,698],{},[594,4232,698],{"encoding":596},[571,4234,4236],{"className":4235,"ariaHidden":601},[600],[571,4237,4239,4242],{"className":4238},[605],[571,4240],{"className":4241,"style":710},[609],[571,4243,698],{"className":4244},[614,615]," verwechseln: Bei ",[571,4247,4249,4262],{"className":4248},[574],[571,4250,4252],{"className":4251},[578],[580,4253,4254],{"xmlns":582},[584,4255,4256,4260],{},[587,4257,4258],{},[590,4259,698],{},[594,4261,698],{"encoding":596},[571,4263,4265],{"className":4264,"ariaHidden":601},[600],[571,4266,4268,4271],{"className":4267},[605],[571,4269],{"className":4270,"style":710},[609],[571,4272,698],{"className":4273},[614,615]," Teilintervallen gibt es ",[571,4276,4278,4296],{"className":4277},[574],[571,4279,4281],{"className":4280},[578],[580,4282,4283],{"xmlns":582},[584,4284,4285,4293],{},[587,4286,4287,4289,4291],{},[590,4288,698],{},[631,4290,802],{},[768,4292,796],{},[594,4294,4295],{"encoding":596},"n + 1",[571,4297,4299,4318],{"className":4298,"ariaHidden":601},[600],[571,4300,4302,4306,4309,4312,4315],{"className":4301},[605],[571,4303],{"className":4304,"style":4305},[609],"height:0.6667em;vertical-align:-0.0833em;",[571,4307,698],{"className":4308},[614,615],[571,4310],{"className":4311,"style":998},[674],[571,4313,802],{"className":4314},[976],[571,4316],{"className":4317,"style":998},[674],[571,4319,4321,4324],{"className":4320},[605],[571,4322],{"className":4323,"style":1087},[609],[571,4325,796],{"className":4326},[614]," Stützstellen.",[4183,4329,4330,4331,4429],{},"Den Faktor ",[571,4332,4334,4352],{"className":4333},[574],[571,4335,4337],{"className":4336},[578],[580,4338,4339],{"xmlns":582},[584,4340,4341,4349],{},[587,4342,4343],{},[763,4344,4345,4347],{},[768,4346,796],{},[768,4348,770],{},[594,4350,4351],{"encoding":596},"\\frac{1}{2}",[571,4353,4355],{"className":4354,"ariaHidden":601},[600],[571,4356,4358,4361],{"className":4357},[605],[571,4359],{"className":4360,"style":2151},[609],[571,4362,4364,4367,4426],{"className":4363},[614],[571,4365],{"className":4366},[663,836],[571,4368,4370],{"className":4369},[763],[571,4371,4373,4418],{"className":4372},[843,844],[571,4374,4376,4415],{"className":4375},[848],[571,4377,4379,4393,4401],{"className":4378,"style":2170},[852],[571,4380,4381,4384],{"style":856},[571,4382],{"className":4383,"style":861},[860],[571,4385,4387],{"className":4386},[865,866,867,868],[571,4388,4390],{"className":4389},[614,868],[571,4391,770],{"className":4392},[614,868],[571,4394,4395,4398],{"style":877},[571,4396],{"className":4397,"style":861},[860],[571,4399],{"className":4400,"style":885},[884],[571,4402,4403,4406],{"style":888},[571,4404],{"className":4405,"style":861},[860],[571,4407,4409],{"className":4408},[865,866,867,868],[571,4410,4412],{"className":4411},[614,868],[571,4413,796],{"className":4414},[614,868],[571,4416,905],{"className":4417},[904],[571,4419,4421],{"className":4420},[848],[571,4422,4424],{"className":4423,"style":912},[852],[571,4425],{},[571,4427],{"className":4428},[682,836]," vor der Klammer vergessen.",[4183,4431,4432,4433,4461],{},"Bei unstetigen oder stark schwankenden Funktionen der Näherung trauen, ohne ",[571,4434,4436,4449],{"className":4435},[574],[571,4437,4439],{"className":4438},[578],[580,4440,4441],{"xmlns":582},[584,4442,4443,4447],{},[587,4444,4445],{},[590,4446,698],{},[594,4448,698],{"encoding":596},[571,4450,4452],{"className":4451,"ariaHidden":601},[600],[571,4453,4455,4458],{"className":4454},[605],[571,4456],{"className":4457,"style":710},[609],[571,4459,698],{"className":4460},[614,615]," zu erhöhen und die Ergebnisse zu vergleichen.",{"title":4463,"searchDepth":4464,"depth":4464,"links":4465},"",2,[4466,4467,4468],{"id":560,"depth":4464,"text":561},{"id":1980,"depth":4464,"text":1981},{"id":4177,"depth":4464,"text":4178},[4470,4473,4476,4479,4481,4484,4487,4490,4493],{"lhs":4471,"rhs":4472},"(b - a)\u002F2*((m*a + k) + (m*b + k))","m*(b^2 - a^2)\u002F2 + k*(b - a)",{"lhs":4474,"rhs":4475},"0.25\u002F2*(0^2 + 2*(0.25^2 + 0.5^2 + 0.75^2) + 1^2)","0.34375",{"lhs":4477,"rhs":4478},"0.34375 - 1\u002F3","1\u002F96",{"lhs":4480,"rhs":4478},"(1 - 0)*0.25^2\u002F12*2",{"lhs":4482,"rhs":4483},"round(1\u002F96, 4)","0.0104",{"lhs":4485,"rhs":4486},"0.5\u002F2*(1\u002F1 + 2*(1\u002F1.5) + 1\u002F2)","17\u002F24",{"lhs":4488,"rhs":4489},"round(17\u002F24, 4)","0.7083",{"lhs":4491,"rhs":4492},"round(0.25\u002F2*(1\u002F1 + 2*(1\u002F1.25 + 1\u002F1.5 + 1\u002F1.75) + 1\u002F2), 4)","0.6970",{"lhs":4494,"rhs":4495},"round(log(2), 4)","0.6931","h = \\frac{b - a}{n},\\ x_k = a + k h,\\ n \\in \\mathbb{N},\\ n \\geq 1","\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\">\u003Csemantics>\u003Cmrow>\u003Cmi>h\u003C\u002Fmi>\u003Cmo>=\u003C\u002Fmo>\u003Cmfrac>\u003Cmrow>\u003Cmi>b\u003C\u002Fmi>\u003Cmo>−\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003C\u002Fmrow>\u003Cmi>n\u003C\u002Fmi>\u003C\u002Fmfrac>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">h = \\frac{b - a}{n},\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:0.6944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">h\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:1.2251em;vertical-align:-0.345em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mopen nulldelimiter\">\u003C\u002Fspan>\u003Cspan class=\"mfrac\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.8801em;\">\u003Cspan style=\"top:-2.655em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">n\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.23em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"frac-line\" style=\"border-bottom-width:0.04em;\">\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan style=\"top:-3.394em;\">\u003Cspan class=\"pstrut\" style=\"height:3em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mtight\">\u003Cspan class=\"mord mathnormal mtight\">b\u003C\u002Fspan>\u003Cspan class=\"mbin mtight\">−\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal mtight\">a\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.345em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"mclose nulldelimiter\">\u003C\u002Fspan>\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>\u003Cmsub>\u003Cmi>x\u003C\u002Fmi>\u003Cmi>k\u003C\u002Fmi>\u003C\u002Fmsub>\u003Cmo>=\u003C\u002Fmo>\u003Cmi>a\u003C\u002Fmi>\u003Cmo>+\u003C\u002Fmo>\u003Cmi>k\u003C\u002Fmi>\u003Cmi>h\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">x_k = a + k h,\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:0.5806em;vertical-align:-0.15em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">\u003Cspan class=\"mord mathnormal\">x\u003C\u002Fspan>\u003Cspan class=\"msupsub\">\u003Cspan class=\"vlist-t vlist-t2\">\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.3361em;\">\u003Cspan style=\"top:-2.55em;margin-left:0em;margin-right:0.05em;\">\u003Cspan class=\"pstrut\" style=\"height:2.7em;\">\u003C\u002Fspan>\u003Cspan class=\"katex-sizing reset-size6 size3 mtight\">\u003Cspan class=\"mord mathnormal mtight\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-s\">​\u003C\u002Fspan>\u003C\u002Fspan>\u003Cspan class=\"vlist-r\">\u003Cspan class=\"vlist\" style=\"height:0.15em;\">\u003Cspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\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 mathnormal\">a\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:0.8889em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\" style=\"margin-right:0.0315em;\">k\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">h\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>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>∈\u003C\u002Fmo>\u003Cmi mathvariant=\"double-struck\">N\u003C\u002Fmi>\u003Cmo separator=\"true\">,\u003C\u002Fmo>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\in \\mathbb{N},\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:0.5782em;vertical-align:-0.0391em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\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:0.8833em;vertical-align:-0.1944em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathbb\">N\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>\u003Cmi>n\u003C\u002Fmi>\u003Cmo>≥\u003C\u002Fmo>\u003Cmn>1\u003C\u002Fmn>\u003C\u002Fmrow>\u003Cannotation encoding=\"application\u002Fx-tex\">n \\geq 1\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:0.7719em;vertical-align:-0.136em;\">\u003C\u002Fspan>\u003Cspan class=\"mord mathnormal\">n\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:0.6444em;\">\u003C\u002Fspan>\u003Cspan class=\"mord\">1\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>\u003C\u002Fspan>",null,"md","trapezoidal-rule","\\int_a^b f(x)\\,dx \\approx \\frac{h}{2} \\left( f(x_0) + 2 f(x_1) + \\ldots + 2 f(x_{n-1}) + f(x_n) \\right)","\u003Cspan class=\"katex-display\">\u003Cspan class=\"katex\">\u003Cspan class=\"katex-mathml\">\u003Cmath xmlns=\"http:\u002F\u002Fwww.w3.org\u002F1998\u002FMath\u002FMathML\" 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