\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [1201]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1202]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1203]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1204]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^{9/2} \, dx\) [1205]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1206]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1207]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1208]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1209]
\(\int e^{3 \text {arctanh}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1210]
\(\int e^{3 \text {arctanh}(a x)} x^m (c-a^2 c x^2)^p \, dx\) [1211]
\(\int e^{3 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^p \, dx\) [1212]
\(\int e^{3 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^p \, dx\) [1213]
\(\int e^{3 \text {arctanh}(a x)} x (c-a^2 c x^2)^p \, dx\) [1214]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1215]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^p}{x} \, dx\) [1216]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\) [1217]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^p}{x^3} \, dx\) [1218]
\(\int e^{4 \text {arctanh}(a x)} (c-a^2 c x^2)^5 \, dx\) [1219]
\(\int e^{4 \text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [1220]
\(\int e^{4 \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1221]
\(\int e^{4 \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1222]
\(\int e^{4 \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1223]
\(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1224]
\(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1225]
\(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1226]
\(\int \genfrac {}{}{}{}{e^{4 \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1227]
\(\int e^{4 \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1228]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [1229]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1230]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1231]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1232]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1233]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1234]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1235]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1236]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^5} \, dx\) [1237]
\(\int e^{-\text {arctanh}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1238]
\(\int e^{-\text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1239]
\(\int e^{-\text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1240]
\(\int e^{-\text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1241]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1242]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1243]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1244]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1245]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1246]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^{9/2} \, dx\) [1247]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1248]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1249]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1250]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1251]
\(\int e^{-\text {arctanh}(a x)} x^m (c-a^2 c x^2)^p \, dx\) [1252]
\(\int e^{-\text {arctanh}(a x)} x^3 (1-a^2 x^2)^p \, dx\) [1253]
\(\int e^{-\text {arctanh}(a x)} x^2 (1-a^2 x^2)^p \, dx\) [1254]
\(\int e^{-\text {arctanh}(a x)} x (1-a^2 x^2)^p \, dx\) [1255]
\(\int e^{-\text {arctanh}(a x)} (1-a^2 x^2)^p \, dx\) [1256]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} (1-a^2 x^2)^p}{x} \, dx\) [1257]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} (1-a^2 x^2)^p}{x^2} \, dx\) [1258]
\(\int e^{-\text {arctanh}(a x)} x^3 (c-a^2 c x^2)^p \, dx\) [1259]
\(\int e^{-\text {arctanh}(a x)} x^2 (c-a^2 c x^2)^p \, dx\) [1260]
\(\int e^{-\text {arctanh}(a x)} x (c-a^2 c x^2)^p \, dx\) [1261]
\(\int e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1262]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^p}{x} \, dx\) [1263]
\(\int \genfrac {}{}{}{}{e^{-\text {arctanh}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\) [1264]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [1265]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1266]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1267]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1268]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1269]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1270]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1271]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1272]
\(\int e^{-2 \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1273]
\(\int e^{-2 \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1274]
\(\int e^{-2 \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1275]
\(\int e^{-2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1276]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1277]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1278]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [1279]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [1280]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [1281]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1282]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1283]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1284]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1285]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1286]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1287]
\(\int \genfrac {}{}{}{}{e^{-2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1288]
\(\int e^{-2 \text {arctanh}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1289]
\(\int e^{-2 \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1290]
\(\int e^{-3 \text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [1291]
\(\int e^{-3 \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1292]
\(\int e^{-3 \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1293]
\(\int e^{-3 \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1294]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1295]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1296]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1297]
\(\int \genfrac {}{}{}{}{e^{-3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1298]
\(\int e^{-3 \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1299]
\(\int e^{-3 \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1300]