\(\int e^{-3 \text {arctanh}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1301]
\(\int e^{-3 \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1302]
\(\int e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} (1-a^2 x^2)^{5/2} \, dx\) [1303]
\(\int e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} (1-a^2 x^2)^{3/2} \, dx\) [1304]
\(\int e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} \sqrt {1-a^2 x^2} \, dx\) [1305]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{\sqrt {1-a^2 x^2}} \, dx\) [1306]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(1-a^2 x^2)^{3/2}} \, dx\) [1307]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(1-a^2 x^2)^{5/2}} \, dx\) [1308]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(1-a^2 x^2)^{7/2}} \, dx\) [1309]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(1-a^2 x^2)^{9/2}} \, dx\) [1310]
\(\int e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1311]
\(\int e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1312]
\(\int e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1313]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1314]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1315]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1316]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1317]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{9/2}} \, dx\) [1318]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{5/4}} \, dx\) [1319]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{5/4}} \, dx\) [1320]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{5/4}} \, dx\) [1321]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/4}} \, dx\) [1322]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{5/4}} \, dx\) [1323]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{5/4}} \, dx\) [1324]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{9/8}} \, dx\) [1325]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{9/8}} \, dx\) [1326]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{9/8}} \, dx\) [1327]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{9/8}} \, dx\) [1328]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{9/8}} \, dx\) [1329]
\(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{9/8}} \, dx\) [1330]
\(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1331]
\(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1332]
\(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1333]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^4}{c-a^2 c x^2} \, dx\) [1334]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{c-a^2 c x^2} \, dx\) [1335]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{c-a^2 c x^2} \, dx\) [1336]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{c-a^2 c x^2} \, dx\) [1337]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1338]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)} \, dx\) [1339]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\) [1340]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\) [1341]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\) [1342]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\) [1343]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{(c-a^2 c x^2)^2} \, dx\) [1344]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1345]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)^2} \, dx\) [1346]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\) [1347]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1348]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1349]
\(\int e^{n \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1350]
\(\int e^{n \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1351]
\(\int e^{n \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1352]
\(\int e^{n \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1353]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1354]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1355]
\(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1356]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{\sqrt {c-a^2 c x^2}} \, dx\) [1357]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{\sqrt {c-a^2 c x^2}} \, dx\) [1358]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{\sqrt {c-a^2 c x^2}} \, dx\) [1359]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1360]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x \sqrt {c-a^2 c x^2}} \, dx\) [1361]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 \sqrt {c-a^2 c x^2}} \, dx\) [1362]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^3 \sqrt {c-a^2 c x^2}} \, dx\) [1363]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\) [1364]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1365]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\) [1366]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1367]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\) [1368]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{3/2}} \, dx\) [1369]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^{3/2}} \, dx\) [1370]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{5/2}} \, dx\) [1371]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{5/2}} \, dx\) [1372]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{5/2}} \, dx\) [1373]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1374]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{5/2}} \, dx\) [1375]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{5/2}} \, dx\) [1376]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^{5/2}} \, dx\) [1377]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1378]
\(\int e^{n \text {arctanh}(a x)} x^m (c-a^2 c x^2)^2 \, dx\) [1379]
\(\int e^{n \text {arctanh}(a x)} x^m (c-a^2 c x^2) \, dx\) [1380]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^m}{c-a^2 c x^2} \, dx\) [1381]
\(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^2} \, dx\) [1382]
\(\int e^{n \text {arctanh}(a x)} x^m (c-a^2 c x^2)^p \, dx\) [1383]
\(\int e^{n \text {arctanh}(a x)} x (c-a^2 c x^2)^p \, dx\) [1384]
\(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1385]
\(\int e^{2 (1+p) \text {arctanh}(a x)} (1-a^2 x^2)^{-p} \, dx\) [1386]
\(\int e^{2 (1+p) \text {arctanh}(a x)} (c-a^2 c x^2)^{-p} \, dx\) [1387]
\(\int e^{2 p \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1388]
\(\int e^{-2 p \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1389]
\(\int e^{n \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{-1-\genfrac {}{}{}{}{n^2}{2}} \, dx\) [1390]
\(\int \genfrac {}{}{}{}{e^{6 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{19}} \, dx\) [1391]
\(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\) [1392]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1393]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1394]
\(\int \genfrac {}{}{}{}{e^{-4 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\) [1395]
\(\int \genfrac {}{}{}{}{e^{5 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\) [1396]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\) [1397]
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1398]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1399]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\) [1400]