3.12 Integrals 1101 to 1200

\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\) [1101]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^2} \, dx\) [1102]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^4 (c-a^2 c x^2)^2} \, dx\) [1103]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^5}{(c-a^2 c x^2)^3} \, dx\) [1104]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^3} \, dx\) [1105]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^3} \, dx\) [1106]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1107]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x}{(c-a^2 c x^2)^3} \, dx\) [1108]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1109]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x (c-a^2 c x^2)^3} \, dx\) [1110]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^3} \, dx\) [1111]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^3} \, dx\) [1112]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1113]
\(\int e^{2 \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1114]
\(\int e^{2 \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1115]
\(\int e^{2 \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1116]
\(\int e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1117]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1118]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1119]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [1120]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [1121]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [1122]
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^{3/2} \, dx\) [1123]
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{3/2} \, dx\) [1124]
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2)^{3/2} \, dx\) [1125]
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1126]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x} \, dx\) [1127]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^2} \, dx\) [1128]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^3} \, dx\) [1129]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^4} \, dx\) [1130]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^5} \, dx\) [1131]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^6} \, dx\) [1132]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^7} \, dx\) [1133]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^8} \, dx\) [1134]
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^{5/2} \, dx\) [1135]
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{5/2} \, dx\) [1136]
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2)^{5/2} \, dx\) [1137]
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2} \, dx\) [1138]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2}}{x} \, dx\) [1139]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2}}{x^2} \, dx\) [1140]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2}}{x^3} \, dx\) [1141]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2}}{x^4} \, dx\) [1142]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{5/2}}{x^5} \, dx\) [1143]
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{7/2} \, dx\) [1144]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^3}{\sqrt {c-a^2 c x^2}} \, dx\) [1145]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{\sqrt {c-a^2 c x^2}} \, dx\) [1146]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x}{\sqrt {c-a^2 c x^2}} \, dx\) [1147]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{\sqrt {c-a^2 c x^2}} \, dx\) [1148]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x \sqrt {c-a^2 c x^2}} \, dx\) [1149]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 \sqrt {c-a^2 c x^2}} \, dx\) [1150]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 \sqrt {c-a^2 c x^2}} \, dx\) [1151]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^4 \sqrt {c-a^2 c x^2}} \, dx\) [1152]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\) [1153]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\) [1154]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\) [1155]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\) [1156]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\) [1157]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^{3/2}} \, dx\) [1158]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^{3/2}} \, dx\) [1159]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\) [1160]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\) [1161]
\(\int e^{2 \text {arctanh}(a x)} x^m (c-a^2 c x^2)^3 \, dx\) [1162]
\(\int e^{2 \text {arctanh}(a x)} x^m (c-a^2 c x^2)^2 \, dx\) [1163]
\(\int e^{2 \text {arctanh}(a x)} x^m (c-a^2 c x^2) \, dx\) [1164]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^m}{c-a^2 c x^2} \, dx\) [1165]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^2} \, dx\) [1166]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^3} \, dx\) [1167]
\(\int e^{2 \text {arctanh}(a x)} x^m (c-a^2 c x^2)^{5/2} \, dx\) [1168]
\(\int e^{2 \text {arctanh}(a x)} x^m (c-a^2 c x^2)^{3/2} \, dx\) [1169]
\(\int e^{2 \text {arctanh}(a x)} x^m \sqrt {c-a^2 c x^2} \, dx\) [1170]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^m}{\sqrt {c-a^2 c x^2}} \, dx\) [1171]
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^{3/2}} \, dx\) [1172]
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1173]
\(\int e^{3 \text {arctanh}(a x)} x^3 (c-a^2 c x^2) \, dx\) [1174]
\(\int e^{3 \text {arctanh}(a x)} x^2 (c-a^2 c x^2) \, dx\) [1175]
\(\int e^{3 \text {arctanh}(a x)} x (c-a^2 c x^2) \, dx\) [1176]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1177]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)}{x} \, dx\) [1178]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^2} \, dx\) [1179]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^3} \, dx\) [1180]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^4} \, dx\) [1181]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^5} \, dx\) [1182]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^6} \, dx\) [1183]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1184]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1185]
\(\int e^{3 \text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [1186]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} x^2}{c-a^2 c x^2} \, dx\) [1187]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} x}{c-a^2 c x^2} \, dx\) [1188]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1189]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1190]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1191]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1192]
\(\int e^{3 \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1193]
\(\int e^{3 \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1194]
\(\int e^{3 \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1195]
\(\int e^{3 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1196]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1197]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1198]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [1199]
\(\int \genfrac {}{}{}{}{e^{3 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [1200]