3.14.1 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{5/4}} \, dx\) [1301]
3.14.2 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{5/4}} \, dx\) [1302]
3.14.3 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{9/8}} \, dx\) [1303]
3.14.4 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{9/8}} \, dx\) [1304]
3.14.5 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{9/8}} \, dx\) [1305]
3.14.6 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{(c-a^2 c x^2)^{9/8}} \, dx\) [1306]
3.14.7 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{9/8}} \, dx\) [1307]
3.14.8 \(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1308]
3.14.9 \(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1309]
3.14.10 \(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1310]
3.14.11 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^4}{c-a^2 c x^2} \, dx\) [1311]
3.14.12 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{c-a^2 c x^2} \, dx\) [1312]
3.14.13 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{c-a^2 c x^2} \, dx\) [1313]
3.14.14 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{c-a^2 c x^2} \, dx\) [1314]
3.14.15 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1315]
3.14.16 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)} \, dx\) [1316]
3.14.17 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\) [1317]
3.14.18 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\) [1318]
3.14.19 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\) [1319]
3.14.20 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\) [1320]
3.14.21 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{(c-a^2 c x^2)^2} \, dx\) [1321]
3.14.22 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1322]
3.14.23 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)^2} \, dx\) [1323]
3.14.24 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\) [1324]
3.14.25 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1325]
3.14.26 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1326]
3.14.27 \(\int e^{n \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1327]
3.14.28 \(\int e^{n \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1328]
3.14.29 \(\int e^{n \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1329]
3.14.30 \(\int e^{n \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1330]
3.14.31 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1331]
3.14.32 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1332]
3.14.33 \(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1333]
3.14.34 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{\sqrt {c-a^2 c x^2}} \, dx\) [1334]
3.14.35 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{\sqrt {c-a^2 c x^2}} \, dx\) [1335]
3.14.36 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{\sqrt {c-a^2 c x^2}} \, dx\) [1336]
3.14.37 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1337]
3.14.38 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x \sqrt {c-a^2 c x^2}} \, dx\) [1338]
3.14.39 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 \sqrt {c-a^2 c x^2}} \, dx\) [1339]
3.14.40 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^3 \sqrt {c-a^2 c x^2}} \, dx\) [1340]
3.14.41 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\) [1341]
3.14.42 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1342]
3.14.43 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\) [1343]
3.14.44 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1344]
3.14.45 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\) [1345]
3.14.46 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{3/2}} \, dx\) [1346]
3.14.47 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^{3/2}} \, dx\) [1347]
3.14.48 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{5/2}} \, dx\) [1348]
3.14.49 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{5/2}} \, dx\) [1349]
3.14.50 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{5/2}} \, dx\) [1350]
3.14.51 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1351]
3.14.52 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{5/2}} \, dx\) [1352]
3.14.53 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{5/2}} \, dx\) [1353]
3.14.54 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^{5/2}} \, dx\) [1354]
3.14.55 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1355]
3.14.56 \(\int e^{n \text {arctanh}(a x)} x^m (c-a^2 c x^2)^2 \, dx\) [1356]
3.14.57 \(\int e^{n \text {arctanh}(a x)} x^m (c-a^2 c x^2) \, dx\) [1357]
3.14.58 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^m}{c-a^2 c x^2} \, dx\) [1358]
3.14.59 \(\int \genfrac {}{}{}{}{e^{n \text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^2} \, dx\) [1359]
3.14.60 \(\int e^{n \text {arctanh}(a x)} x^m (c-a^2 c x^2)^p \, dx\) [1360]
3.14.61 \(\int e^{n \text {arctanh}(a x)} x (c-a^2 c x^2)^p \, dx\) [1361]
3.14.62 \(\int e^{n \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1362]
3.14.63 \(\int e^{2 (1+p) \text {arctanh}(a x)} (1-a^2 x^2)^{-p} \, dx\) [1363]
3.14.64 \(\int e^{2 (1+p) \text {arctanh}(a x)} (c-a^2 c x^2)^{-p} \, dx\) [1364]
3.14.65 \(\int e^{2 p \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1365]
3.14.66 \(\int e^{-2 p \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1366]
3.14.67 \(\int e^{n \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{-1-\genfrac {}{}{}{}{n^2}{2}} \, dx\) [1367]
3.14.68 \(\int \genfrac {}{}{}{}{e^{6 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{19}} \, dx\) [1368]
3.14.69 \(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\) [1369]
3.14.70 \(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1370]
3.14.71 \(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1371]
3.14.72 \(\int \genfrac {}{}{}{}{e^{-4 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\) [1372]
3.14.73 \(\int \genfrac {}{}{}{}{e^{5 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\) [1373]
3.14.74 \(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\) [1374]
3.14.75 \(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1375]
3.14.76 \(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1376]
3.14.77 \(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\) [1377]
3.14.78 \(\int \genfrac {}{}{}{}{e^{-5 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\) [1378]