\(\int \genfrac {}{}{}{}{(b d+2 c d x)^{3/2}}{(a+b x+c x^2)^2} \, dx\) [1301]
   \(\int \genfrac {}{}{}{}{\sqrt {b d+2 c d x}}{(a+b x+c x^2)^2} \, dx\) [1302]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {b d+2 c d x} (a+b x+c x^2)^2} \, dx\) [1303]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)^2} \, dx\) [1304]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)^2} \, dx\) [1305]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{7/2} (a+b x+c x^2)^2} \, dx\) [1306]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{17/2}}{(a+b x+c x^2)^3} \, dx\) [1307]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{15/2}}{(a+b x+c x^2)^3} \, dx\) [1308]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{13/2}}{(a+b x+c x^2)^3} \, dx\) [1309]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{11/2}}{(a+b x+c x^2)^3} \, dx\) [1310]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{9/2}}{(a+b x+c x^2)^3} \, dx\) [1311]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{7/2}}{(a+b x+c x^2)^3} \, dx\) [1312]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{5/2}}{(a+b x+c x^2)^3} \, dx\) [1313]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{3/2}}{(a+b x+c x^2)^3} \, dx\) [1314]
   \(\int \genfrac {}{}{}{}{\sqrt {b d+2 c d x}}{(a+b x+c x^2)^3} \, dx\) [1315]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {b d+2 c d x} (a+b x+c x^2)^3} \, dx\) [1316]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)^3} \, dx\) [1317]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)^3} \, dx\) [1318]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{7/2} (a+b x+c x^2)^3} \, dx\) [1319]
   \(\int \genfrac {}{}{}{}{(1+2 x)^{7/2}}{1+x+x^2} \, dx\) [1320]
   \(\int \genfrac {}{}{}{}{(1+2 x)^{5/2}}{1+x+x^2} \, dx\) [1321]
   \(\int \genfrac {}{}{}{}{(1+2 x)^{3/2}}{1+x+x^2} \, dx\) [1322]
   \(\int \genfrac {}{}{}{}{\sqrt {1+2 x}}{1+x+x^2} \, dx\) [1323]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1+2 x} (1+x+x^2)} \, dx\) [1324]
   \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{3/2} (1+x+x^2)} \, dx\) [1325]
   \(\int \genfrac {}{}{}{}{1}{(1+2 x)^{5/2} (1+x+x^2)} \, dx\) [1326]
   \(\int (b d+2 c d x)^{7/2} \sqrt {a+b x+c x^2} \, dx\) [1327]
   \(\int (b d+2 c d x)^{3/2} \sqrt {a+b x+c x^2} \, dx\) [1328]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{\sqrt {b d+2 c d x}} \, dx\) [1329]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(b d+2 c d x)^{5/2}} \, dx\) [1330]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(b d+2 c d x)^{9/2}} \, dx\) [1331]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(b d+2 c d x)^{13/2}} \, dx\) [1332]
   \(\int (b d+2 c d x)^{5/2} \sqrt {a+b x+c x^2} \, dx\) [1333]
   \(\int \sqrt {b d+2 c d x} \sqrt {a+b x+c x^2} \, dx\) [1334]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(b d+2 c d x)^{3/2}} \, dx\) [1335]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b x+c x^2}}{(b d+2 c d x)^{7/2}} \, dx\) [1336]
   \(\int (b d+2 c d x)^{7/2} (a+b x+c x^2)^{3/2} \, dx\) [1337]
   \(\int (b d+2 c d x)^{3/2} (a+b x+c x^2)^{3/2} \, dx\) [1338]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{\sqrt {b d+2 c d x}} \, dx\) [1339]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{5/2}} \, dx\) [1340]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{9/2}} \, dx\) [1341]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{13/2}} \, dx\) [1342]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{17/2}} \, dx\) [1343]
   \(\int (b d+2 c d x)^{5/2} (a+b x+c x^2)^{3/2} \, dx\) [1344]
   \(\int \sqrt {b d+2 c d x} (a+b x+c x^2)^{3/2} \, dx\) [1345]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{3/2}} \, dx\) [1346]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{7/2}} \, dx\) [1347]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{3/2}}{(b d+2 c d x)^{11/2}} \, dx\) [1348]
   \(\int (b d+2 c d x)^{7/2} (a+b x+c x^2)^{5/2} \, dx\) [1349]
   \(\int (b d+2 c d x)^{3/2} (a+b x+c x^2)^{5/2} \, dx\) [1350]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{\sqrt {b d+2 c d x}} \, dx\) [1351]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{5/2}} \, dx\) [1352]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{9/2}} \, dx\) [1353]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{13/2}} \, dx\) [1354]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{17/2}} \, dx\) [1355]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{21/2}} \, dx\) [1356]
   \(\int (b d+2 c d x)^{5/2} (a+b x+c x^2)^{5/2} \, dx\) [1357]
   \(\int \sqrt {b d+2 c d x} (a+b x+c x^2)^{5/2} \, dx\) [1358]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{3/2}} \, dx\) [1359]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{7/2}} \, dx\) [1360]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{11/2}} \, dx\) [1361]
   \(\int \genfrac {}{}{}{}{(a+b x+c x^2)^{5/2}}{(b d+2 c d x)^{15/2}} \, dx\) [1362]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{7/2}}{\sqrt {a+b x+c x^2}} \, dx\) [1363]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{3/2}}{\sqrt {a+b x+c x^2}} \, dx\) [1364]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {b d+2 c d x} \sqrt {a+b x+c x^2}} \, dx\) [1365]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{5/2} \sqrt {a+b x+c x^2}} \, dx\) [1366]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{9/2} \sqrt {a+b x+c x^2}} \, dx\) [1367]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{9/2}}{\sqrt {a+b x+c x^2}} \, dx\) [1368]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{5/2}}{\sqrt {a+b x+c x^2}} \, dx\) [1369]
   \(\int \genfrac {}{}{}{}{\sqrt {b d+2 c d x}}{\sqrt {a+b x+c x^2}} \, dx\) [1370]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{3/2} \sqrt {a+b x+c x^2}} \, dx\) [1371]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{7/2} \sqrt {a+b x+c x^2}} \, dx\) [1372]
   \(\int \genfrac {}{}{}{}{(3-2 x)^{3/2}}{\sqrt {1-3 x+x^2}} \, dx\) [1373]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {3-2 x} \sqrt {1-3 x+x^2}} \, dx\) [1374]
   \(\int \genfrac {}{}{}{}{1}{(3-2 x)^{5/2} \sqrt {1-3 x+x^2}} \, dx\) [1375]
   \(\int \genfrac {}{}{}{}{(3-2 x)^{5/2}}{\sqrt {1-3 x+x^2}} \, dx\) [1376]
   \(\int \genfrac {}{}{}{}{\sqrt {3-2 x}}{\sqrt {1-3 x+x^2}} \, dx\) [1377]
   \(\int \genfrac {}{}{}{}{1}{(3-2 x)^{3/2} \sqrt {1-3 x+x^2}} \, dx\) [1378]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{11/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [1379]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{7/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [1380]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{3/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [1381]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {b d+2 c d x} (a+b x+c x^2)^{3/2}} \, dx\) [1382]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)^{3/2}} \, dx\) [1383]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{9/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [1384]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{5/2}}{(a+b x+c x^2)^{3/2}} \, dx\) [1385]
   \(\int \genfrac {}{}{}{}{\sqrt {b d+2 c d x}}{(a+b x+c x^2)^{3/2}} \, dx\) [1386]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)^{3/2}} \, dx\) [1387]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{7/2} (a+b x+c x^2)^{3/2}} \, dx\) [1388]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{15/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1389]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{11/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1390]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{7/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1391]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{3/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1392]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {b d+2 c d x} (a+b x+c x^2)^{5/2}} \, dx\) [1393]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{5/2} (a+b x+c x^2)^{5/2}} \, dx\) [1394]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{13/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1395]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{9/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1396]
   \(\int \genfrac {}{}{}{}{(b d+2 c d x)^{5/2}}{(a+b x+c x^2)^{5/2}} \, dx\) [1397]
   \(\int \genfrac {}{}{}{}{\sqrt {b d+2 c d x}}{(a+b x+c x^2)^{5/2}} \, dx\) [1398]
   \(\int \genfrac {}{}{}{}{1}{(b d+2 c d x)^{3/2} (a+b x+c x^2)^{5/2}} \, dx\) [1399]
   \(\int \genfrac {}{}{}{}{(c e+d e x)^{11/2}}{\sqrt {1-c^2-2 c d x-d^2 x^2}} \, dx\) [1400]