3.13.1 \(\int e^{-\tanh ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1201]
  3.13.2 \(\int e^{-\tanh ^{-1}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1202]
  3.13.3 \(\int e^{-\tanh ^{-1}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1203]
  3.13.4 \(\int e^{-\tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1204]
  3.13.5 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1205]
  3.13.6 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1206]
  3.13.7 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1207]
  3.13.8 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1208]
  3.13.9 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1209]
  3.13.10 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{9/2} \, dx\) [1210]
  3.13.11 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1211]
  3.13.12 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1212]
  3.13.13 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1213]
  3.13.14 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1214]
  3.13.15 \(\int e^{-\tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^p \, dx\) [1215]
  3.13.16 \(\int e^{-\tanh ^{-1}(a x)} x^3 (1-a^2 x^2)^p \, dx\) [1216]
  3.13.17 \(\int e^{-\tanh ^{-1}(a x)} x^2 (1-a^2 x^2)^p \, dx\) [1217]
  3.13.18 \(\int e^{-\tanh ^{-1}(a x)} x (1-a^2 x^2)^p \, dx\) [1218]
  3.13.19 \(\int e^{-\tanh ^{-1}(a x)} (1-a^2 x^2)^p \, dx\) [1219]
  3.13.20 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x} \, dx\) [1220]
  3.13.21 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x^2} \, dx\) [1221]
  3.13.22 \(\int e^{-\tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^p \, dx\) [1222]
  3.13.23 \(\int e^{-\tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^p \, dx\) [1223]
  3.13.24 \(\int e^{-\tanh ^{-1}(a x)} x (c-a^2 c x^2)^p \, dx\) [1224]
  3.13.25 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [1225]
  3.13.26 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x} \, dx\) [1226]
  3.13.27 \(\int \genfrac {}{}{}{}{e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\) [1227]
  3.13.28 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\) [1228]
  3.13.29 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\) [1229]
  3.13.30 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\) [1230]
  3.13.31 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\) [1231]
  3.13.32 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\) [1232]
  3.13.33 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1233]
  3.13.34 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1234]
  3.13.35 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1235]
  3.13.36 \(\int e^{-2 \tanh ^{-1}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1236]
  3.13.37 \(\int e^{-2 \tanh ^{-1}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1237]
  3.13.38 \(\int e^{-2 \tanh ^{-1}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1238]
  3.13.39 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1239]
  3.13.40 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1240]
  3.13.41 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1241]
  3.13.42 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [1242]
  3.13.43 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [1243]
  3.13.44 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [1244]
  3.13.45 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1245]
  3.13.46 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1246]
  3.13.47 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1247]
  3.13.48 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1248]
  3.13.49 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1249]
  3.13.50 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1250]
  3.13.51 \(\int \genfrac {}{}{}{}{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1251]
  3.13.52 \(\int e^{-2 \tanh ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1252]
  3.13.53 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [1253]
  3.13.54 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\) [1254]
  3.13.55 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\) [1255]
  3.13.56 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\) [1256]
  3.13.57 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\) [1257]
  3.13.58 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\) [1258]
  3.13.59 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1259]
  3.13.60 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1260]
  3.13.61 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1261]
  3.13.62 \(\int e^{-3 \tanh ^{-1}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1262]
  3.13.63 \(\int e^{-3 \tanh ^{-1}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1263]
  3.13.64 \(\int e^{-3 \tanh ^{-1}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1264]
  3.13.65 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1265]
  3.13.66 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1266]
  3.13.67 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1267]
  3.13.68 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [1268]
  3.13.69 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [1269]
  3.13.70 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [1270]
  3.13.71 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{9/2} \, dx\) [1271]
  3.13.72 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1272]
  3.13.73 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1273]
  3.13.74 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1274]
  3.13.75 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1275]
  3.13.76 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1276]
  3.13.77 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1277]
  3.13.78 \(\int \genfrac {}{}{}{}{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1278]
  3.13.79 \(\int e^{-3 \tanh ^{-1}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1279]
  3.13.80 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\) [1280]
  3.13.81 \(\int e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} (1-a^2 x^2)^{5/2} \, dx\) [1281]
  3.13.82 \(\int e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} (1-a^2 x^2)^{3/2} \, dx\) [1282]
  3.13.83 \(\int e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} \sqrt {1-a^2 x^2} \, dx\) [1283]
  3.13.84 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{\sqrt {1-a^2 x^2}} \, dx\) [1284]
  3.13.85 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{3/2}} \, dx\) [1285]
  3.13.86 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{5/2}} \, dx\) [1286]
  3.13.87 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{7/2}} \, dx\) [1287]
  3.13.88 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{9/2}} \, dx\) [1288]
  3.13.89 \(\int e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1289]
  3.13.90 \(\int e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1290]
  3.13.91 \(\int e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1291]
  3.13.92 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1292]
  3.13.93 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1293]
  3.13.94 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1294]
  3.13.95 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1295]
  3.13.96 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{9/2}} \, dx\) [1296]
  3.13.97 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{5/4}} \, dx\) [1297]
  3.13.98 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{5/4}} \, dx\) [1298]
  3.13.99 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{5/4}} \, dx\) [1299]
  3.13.100 \(\int \genfrac {}{}{}{}{e^{\genfrac {}{}{}{}{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/4}} \, dx\) [1300]