3.14 Integrals 1301 to 1400

\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^4} \, dx\) [1301]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^8} \, dx\) [1302]
\(\int x^6 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1303]
\(\int x^2 \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1304]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^2} \, dx\) [1305]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{x^6} \, dx\) [1306]
\(\int x^5 (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1307]
\(\int x^3 (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1308]
\(\int x (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1309]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{x} \, dx\) [1310]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{x^3} \, dx\) [1311]
\(\int x^2 (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1312]
\(\int (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1313]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{x^2} \, dx\) [1314]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{x^4} \, dx\) [1315]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1316]
\(\int \genfrac {}{}{}{}{x}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1317]
\(\int \genfrac {}{}{}{}{1}{x^3 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1318]
\(\int \genfrac {}{}{}{}{1}{x^7 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1319]
\(\int \genfrac {}{}{}{}{x^7}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1320]
\(\int \genfrac {}{}{}{}{x^3}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1321]
\(\int \genfrac {}{}{}{}{1}{x \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1322]
\(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1323]
\(\int \genfrac {}{}{}{}{x^8}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1324]
\(\int \genfrac {}{}{}{}{x^4}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1325]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1326]
\(\int \genfrac {}{}{}{}{1}{x^4 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1327]
\(\int \genfrac {}{}{}{}{1}{x^8 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1328]
\(\int \genfrac {}{}{}{}{x^{10}}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1329]
\(\int \genfrac {}{}{}{}{x^6}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1330]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1331]
\(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1332]
\(\int \genfrac {}{}{}{}{1}{x^6 \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1333]
\(\int \genfrac {}{}{}{}{x^5}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1334]
\(\int \genfrac {}{}{}{}{x}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1335]
\(\int \genfrac {}{}{}{}{1}{x^3 (a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1336]
\(\int \genfrac {}{}{}{}{x^7}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1337]
\(\int \genfrac {}{}{}{}{x^3}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1338]
\(\int \genfrac {}{}{}{}{1}{x (a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1339]
\(\int \genfrac {}{}{}{}{x^8}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1340]
\(\int \genfrac {}{}{}{}{x^4}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1341]
\(\int \genfrac {}{}{}{}{1}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1342]
\(\int \genfrac {}{}{}{}{1}{x^4 (a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1343]
\(\int \genfrac {}{}{}{}{x^{10}}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1344]
\(\int \genfrac {}{}{}{}{x^6}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1345]
\(\int \genfrac {}{}{}{}{x^2}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1346]
\(\int \genfrac {}{}{}{}{1}{x^2 (a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1347]
\(\int (e x)^{3/2} \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1348]
\(\int \sqrt {e x} \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1349]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{\sqrt {e x}} \, dx\) [1350]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{(e x)^{3/2}} \, dx\) [1351]
\(\int \genfrac {}{}{}{}{\sqrt {1-b x^2} \sqrt {1+b x^2}}{(e x)^{5/2}} \, dx\) [1352]
\(\int (e x)^{3/2} (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1353]
\(\int \sqrt {e x} (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1354]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{\sqrt {e x}} \, dx\) [1355]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{(e x)^{3/2}} \, dx\) [1356]
\(\int \genfrac {}{}{}{}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}}{(e x)^{5/2}} \, dx\) [1357]
\(\int (e x)^{3/2} \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1358]
\(\int \sqrt {e x} \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1359]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{\sqrt {e x}} \, dx\) [1360]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{(e x)^{3/2}} \, dx\) [1361]
\(\int \genfrac {}{}{}{}{\sqrt {a-b x^2} \sqrt {a+b x^2}}{(e x)^{5/2}} \, dx\) [1362]
\(\int (e x)^{3/2} (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1363]
\(\int \sqrt {e x} (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1364]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{\sqrt {e x}} \, dx\) [1365]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{(e x)^{3/2}} \, dx\) [1366]
\(\int \genfrac {}{}{}{}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}}{(e x)^{5/2}} \, dx\) [1367]
\(\int \genfrac {}{}{}{}{(e x)^{7/2}}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1368]
\(\int \genfrac {}{}{}{}{(e x)^{5/2}}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1369]
\(\int \genfrac {}{}{}{}{(e x)^{3/2}}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1370]
\(\int \genfrac {}{}{}{}{\sqrt {e x}}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1371]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e x} \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1372]
\(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1373]
\(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} \sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1374]
\(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1375]
\(\int \genfrac {}{}{}{}{\sqrt {e x}}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1376]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1377]
\(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1378]
\(\int \genfrac {}{}{}{}{(e x)^{7/2}}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1379]
\(\int \genfrac {}{}{}{}{(e x)^{5/2}}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1380]
\(\int \genfrac {}{}{}{}{(e x)^{3/2}}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1381]
\(\int \genfrac {}{}{}{}{\sqrt {e x}}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1382]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e x} \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1383]
\(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1384]
\(\int \genfrac {}{}{}{}{1}{(e x)^{5/2} \sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1385]
\(\int \genfrac {}{}{}{}{(e x)^{3/2}}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1386]
\(\int \genfrac {}{}{}{}{\sqrt {e x}}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1387]
\(\int \genfrac {}{}{}{}{1}{\sqrt {e x} (a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1388]
\(\int \genfrac {}{}{}{}{1}{(e x)^{3/2} (a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1389]
\(\int (e x)^m (1-b x^2)^{3/2} (1+b x^2)^{3/2} \, dx\) [1390]
\(\int (e x)^m \sqrt {1-b x^2} \sqrt {1+b x^2} \, dx\) [1391]
\(\int \genfrac {}{}{}{}{(e x)^m}{\sqrt {1-b x^2} \sqrt {1+b x^2}} \, dx\) [1392]
\(\int \genfrac {}{}{}{}{(e x)^m}{(1-b x^2)^{3/2} (1+b x^2)^{3/2}} \, dx\) [1393]
\(\int (e x)^m (a-b x^2)^{3/2} (a+b x^2)^{3/2} \, dx\) [1394]
\(\int (e x)^m \sqrt {a-b x^2} \sqrt {a+b x^2} \, dx\) [1395]
\(\int \genfrac {}{}{}{}{(e x)^m}{\sqrt {a-b x^2} \sqrt {a+b x^2}} \, dx\) [1396]
\(\int \genfrac {}{}{}{}{(e x)^m}{(a-b x^2)^{3/2} (a+b x^2)^{3/2}} \, dx\) [1397]
\(\int \genfrac {}{}{}{}{x^2}{\sqrt [3]{a+b x^2} (c+d x^2)} \, dx\) [1398]
\(\int \genfrac {}{}{}{}{x^2}{(a+b x^2)^{2/3} (c+d x^2)} \, dx\) [1399]
\(\int \genfrac {}{}{}{}{x^5}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1400]