3.14 Integrals 1301 to 1400

\(\int \genfrac {}{}{}{}{x^2}{(c+d x)^3 (a+b x^2)^{5/2}} \, dx\) [1301]
\(\int \genfrac {}{}{}{}{x}{(c+d x)^3 (a+b x^2)^{5/2}} \, dx\) [1302]
\(\int \genfrac {}{}{}{}{1}{(c+d x)^3 (a+b x^2)^{5/2}} \, dx\) [1303]
\(\int \genfrac {}{}{}{}{1}{x (c+d x)^3 (a+b x^2)^{5/2}} \, dx\) [1304]
\(\int \genfrac {}{}{}{}{1}{x^2 (c+d x)^3 (a+b x^2)^{5/2}} \, dx\) [1305]
\(\int \genfrac {}{}{}{}{x^7 (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1306]
\(\int \genfrac {}{}{}{}{x^6 (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1307]
\(\int \genfrac {}{}{}{}{x^5 (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1308]
\(\int \genfrac {}{}{}{}{x^4 (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1309]
\(\int \genfrac {}{}{}{}{x^3 (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1310]
\(\int \genfrac {}{}{}{}{x^2 (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1311]
\(\int \genfrac {}{}{}{}{x (c+d x)}{(a+b x^2)^{7/2}} \, dx\) [1312]
\(\int \genfrac {}{}{}{}{c+d x}{(a+b x^2)^{7/2}} \, dx\) [1313]
\(\int \genfrac {}{}{}{}{c+d x}{x (a+b x^2)^{7/2}} \, dx\) [1314]
\(\int \genfrac {}{}{}{}{c+d x}{x^2 (a+b x^2)^{7/2}} \, dx\) [1315]
\(\int \genfrac {}{}{}{}{c+d x}{x^3 (a+b x^2)^{7/2}} \, dx\) [1316]
\(\int \genfrac {}{}{}{}{x^9 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1317]
\(\int \genfrac {}{}{}{}{x^8 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1318]
\(\int \genfrac {}{}{}{}{x^7 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1319]
\(\int \genfrac {}{}{}{}{x^6 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1320]
\(\int \genfrac {}{}{}{}{x^5 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1321]
\(\int \genfrac {}{}{}{}{x^4 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1322]
\(\int \genfrac {}{}{}{}{x^3 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1323]
\(\int \genfrac {}{}{}{}{x^2 (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1324]
\(\int \genfrac {}{}{}{}{x (c+d x)}{(a+b x^2)^{9/2}} \, dx\) [1325]
\(\int \genfrac {}{}{}{}{c+d x}{(a+b x^2)^{9/2}} \, dx\) [1326]
\(\int \genfrac {}{}{}{}{c+d x}{x (a+b x^2)^{9/2}} \, dx\) [1327]
\(\int \genfrac {}{}{}{}{c+d x}{x^2 (a+b x^2)^{9/2}} \, dx\) [1328]
\(\int \genfrac {}{}{}{}{c+d x}{x^3 (a+b x^2)^{9/2}} \, dx\) [1329]
\(\int (d x)^{5/2} (A+B x) \sqrt {a+b x^2} \, dx\) [1330]
\(\int (d x)^{3/2} (A+B x) \sqrt {a+b x^2} \, dx\) [1331]
\(\int \sqrt {d x} (A+B x) \sqrt {a+b x^2} \, dx\) [1332]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x^2}}{\sqrt {d x}} \, dx\) [1333]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x^2}}{(d x)^{3/2}} \, dx\) [1334]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x^2}}{(d x)^{5/2}} \, dx\) [1335]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x^2}}{(d x)^{7/2}} \, dx\) [1336]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x^2}}{(d x)^{9/2}} \, dx\) [1337]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x^2}}{(d x)^{11/2}} \, dx\) [1338]
\(\int \genfrac {}{}{}{}{(e x)^{5/2} \sqrt {a+b x^2}}{c+d x} \, dx\) [1339]
\(\int \genfrac {}{}{}{}{(e x)^{3/2} \sqrt {a+b x^2}}{c+d x} \, dx\) [1340]
\(\int \genfrac {}{}{}{}{\sqrt {e x} \sqrt {a+b x^2}}{c+d x} \, dx\) [1341]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{\sqrt {e x} (c+d x)} \, dx\) [1342]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{(e x)^{3/2} (c+d x)} \, dx\) [1343]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{(e x)^{5/2} (c+d x)} \, dx\) [1344]
\(\int \genfrac {}{}{}{}{\sqrt {a+b x^2}}{(e x)^{7/2} (c+d x)} \, dx\) [1345]
\(\int \genfrac {}{}{}{}{(e x)^{5/2} \sqrt {a-b x^2}}{c+d x} \, dx\) [1346]
\(\int \genfrac {}{}{}{}{(e x)^{3/2} \sqrt {a-b x^2}}{c+d x} \, dx\) [1347]
\(\int \genfrac {}{}{}{}{\sqrt {e x} \sqrt {a-b x^2}}{c+d x} \, dx\) [1348]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2}}{\sqrt {e x} (c+d x)} \, dx\) [1349]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2}}{(e x)^{3/2} (c+d x)} \, dx\) [1350]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2}}{(e x)^{5/2} (c+d x)} \, dx\) [1351]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2}}{(e x)^{7/2} (c+d x)} \, dx\) [1352]
\(\int (d x)^{5/2} (A+B x) (a+b x^2)^{3/2} \, dx\) [1353]
\(\int (d x)^{3/2} (A+B x) (a+b x^2)^{3/2} \, dx\) [1354]
\(\int \sqrt {d x} (A+B x) (a+b x^2)^{3/2} \, dx\) [1355]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{\sqrt {d x}} \, dx\) [1356]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{3/2}} \, dx\) [1357]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{5/2}} \, dx\) [1358]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{7/2}} \, dx\) [1359]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{9/2}} \, dx\) [1360]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{11/2}} \, dx\) [1361]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{13/2}} \, dx\) [1362]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x^2)^{3/2}}{(d x)^{15/2}} \, dx\) [1363]
\(\int \genfrac {}{}{}{}{(d x)^{5/2} (A+B x)}{\sqrt {a+b x^2}} \, dx\) [1364]
\(\int \genfrac {}{}{}{}{(d x)^{3/2} (A+B x)}{\sqrt {a+b x^2}} \, dx\) [1365]
\(\int \genfrac {}{}{}{}{\sqrt {d x} (A+B x)}{\sqrt {a+b x^2}} \, dx\) [1366]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {d x} \sqrt {a+b x^2}} \, dx\) [1367]
\(\int \genfrac {}{}{}{}{A+B x}{(d x)^{3/2} \sqrt {a+b x^2}} \, dx\) [1368]
\(\int \genfrac {}{}{}{}{A+B x}{(d x)^{5/2} \sqrt {a+b x^2}} \, dx\) [1369]
\(\int \genfrac {}{}{}{}{A+B x}{(d x)^{7/2} \sqrt {a+b x^2}} \, dx\) [1370]
\(\int \genfrac {}{}{}{}{(e x)^{5/2} (c+d x)}{\sqrt {a-b x^2}} \, dx\) [1371]
\(\int \genfrac {}{}{}{}{(e x)^{3/2} (c+d x)}{\sqrt {a-b x^2}} \, dx\) [1372]
\(\int \genfrac {}{}{}{}{\sqrt {e x} (c+d x)}{\sqrt {a-b x^2}} \, dx\) [1373]
\(\int \genfrac {}{}{}{}{c+d x}{\sqrt {e x} \sqrt {a-b x^2}} \, dx\) [1374]
\(\int \genfrac {}{}{}{}{c+d x}{(e x)^{3/2} \sqrt {a-b x^2}} \, dx\) [1375]
\(\int \genfrac {}{}{}{}{c+d x}{(e x)^{5/2} \sqrt {a-b x^2}} \, dx\) [1376]
\(\int \genfrac {}{}{}{}{c+d x}{(e x)^{7/2} \sqrt {a-b x^2}} \, dx\) [1377]
\(\int \genfrac {}{}{}{}{(e x)^{5/2} (c+d x)^2}{\sqrt {a-b x^2}} \, dx\) [1378]
\(\int \genfrac {}{}{}{}{(e x)^{3/2} (c+d x)^2}{\sqrt {a-b x^2}} \, dx\) [1379]
\(\int \genfrac {}{}{}{}{\sqrt {e x} (c+d x)^2}{\sqrt {a-b x^2}} \, dx\) [1380]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{\sqrt {e x} \sqrt {a-b x^2}} \, dx\) [1381]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(e x)^{3/2} \sqrt {a-b x^2}} \, dx\) [1382]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(e x)^{5/2} \sqrt {a-b x^2}} \, dx\) [1383]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(e x)^{7/2} \sqrt {a-b x^2}} \, dx\) [1384]
\(\int \genfrac {}{}{}{}{(c+d x)^2}{(e x)^{9/2} \sqrt {a-b x^2}} \, dx\) [1385]
\(\int \genfrac {}{}{}{}{(e x)^{5/2}}{(c+d x) \sqrt {a+b x^2}} \, dx\) [1386]
\(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(c+d x) \sqrt {a+b x^2}} \, dx\) [1387]
\(\int \genfrac {}{}{}{}{\sqrt {e x}}{(c+d x) \sqrt {a+b x^2}} \, dx\) [1388]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (c+d x) \sqrt {a+b x^2}} \, dx\) [1389]
\(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (c+d x) \sqrt {a+b x^2}} \, dx\) [1390]
\(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} (c+d x) \sqrt {a+b x^2}} \, dx\) [1391]
\(\int \genfrac {}{}{}{}{(e x)^{5/2}}{(c+d x) \sqrt {a-b x^2}} \, dx\) [1392]
\(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(c+d x) \sqrt {a-b x^2}} \, dx\) [1393]
\(\int \genfrac {}{}{}{}{\sqrt {e x}}{(c+d x) \sqrt {a-b x^2}} \, dx\) [1394]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (c+d x) \sqrt {a-b x^2}} \, dx\) [1395]
\(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (c+d x) \sqrt {a-b x^2}} \, dx\) [1396]
\(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} (c+d x) \sqrt {a-b x^2}} \, dx\) [1397]
\(\int \genfrac {}{}{}{}{(d x)^{7/2} (A+B x)}{(a+b x^2)^{3/2}} \, dx\) [1398]
\(\int \genfrac {}{}{}{}{(d x)^{5/2} (A+B x)}{(a+b x^2)^{3/2}} \, dx\) [1399]
\(\int \genfrac {}{}{}{}{(d x)^{3/2} (A+B x)}{(a+b x^2)^{3/2}} \, dx\) [1400]