\(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1101]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1102]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1103]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1104]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1105]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1106]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1107]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1108]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1109]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^{5/2} \arctan (a x)^{5/2}} \, dx\) [1110]
   \(\int \genfrac {}{}{}{}{x \arctan (a x)^n}{c+a^2 c x^2} \, dx\) [1111]
   \(\int \genfrac {}{}{}{}{\arctan (a x)^n}{c+a^2 c x^2} \, dx\) [1112]
   \(\int (f x)^m (d+c^2 d x^2)^q (a+b \arctan (c x))^p \, dx\) [1113]
   \(\int x^3 (d+e x^2) (a+b \arctan (c x)) \, dx\) [1114]
   \(\int x^2 (d+e x^2) (a+b \arctan (c x)) \, dx\) [1115]
   \(\int x (d+e x^2) (a+b \arctan (c x)) \, dx\) [1116]
   \(\int (d+e x^2) (a+b \arctan (c x)) \, dx\) [1117]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x} \, dx\) [1118]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x^2} \, dx\) [1119]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x^3} \, dx\) [1120]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x^4} \, dx\) [1121]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x^5} \, dx\) [1122]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x^6} \, dx\) [1123]
   \(\int \genfrac {}{}{}{}{(d+e x^2) (a+b \arctan (c x))}{x^7} \, dx\) [1124]
   \(\int x^3 (d+e x^2)^2 (a+b \arctan (c x)) \, dx\) [1125]
   \(\int x^2 (d+e x^2)^2 (a+b \arctan (c x)) \, dx\) [1126]
   \(\int x (d+e x^2)^2 (a+b \arctan (c x)) \, dx\) [1127]
   \(\int (d+e x^2)^2 (a+b \arctan (c x)) \, dx\) [1128]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x} \, dx\) [1129]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^2} \, dx\) [1130]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^3} \, dx\) [1131]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^4} \, dx\) [1132]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^5} \, dx\) [1133]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^6} \, dx\) [1134]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^7} \, dx\) [1135]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^2 (a+b \arctan (c x))}{x^8} \, dx\) [1136]
   \(\int x^3 (d+e x^2)^3 (a+b \arctan (c x)) \, dx\) [1137]
   \(\int x^2 (d+e x^2)^3 (a+b \arctan (c x)) \, dx\) [1138]
   \(\int x (d+e x^2)^3 (a+b \arctan (c x)) \, dx\) [1139]
   \(\int (d+e x^2)^3 (a+b \arctan (c x)) \, dx\) [1140]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x} \, dx\) [1141]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^2} \, dx\) [1142]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^3} \, dx\) [1143]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^4} \, dx\) [1144]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^5} \, dx\) [1145]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^6} \, dx\) [1146]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^7} \, dx\) [1147]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^8} \, dx\) [1148]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^3 (a+b \arctan (c x))}{x^9} \, dx\) [1149]
   \(\int (c+d x^2)^4 \arctan (a x) \, dx\) [1150]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{d+e x^2} \, dx\) [1151]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{d+e x^2} \, dx\) [1152]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)} \, dx\) [1153]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)} \, dx\) [1154]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{d+e x^2} \, dx\) [1155]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{d+e x^2} \, dx\) [1156]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)} \, dx\) [1157]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{(d+e x^2)^2} \, dx\) [1158]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{(d+e x^2)^2} \, dx\) [1159]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)^2} \, dx\) [1160]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)^2} \, dx\) [1161]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{(d+e x^2)^2} \, dx\) [1162]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x^2)^2} \, dx\) [1163]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)^2} \, dx\) [1164]
   \(\int \genfrac {}{}{}{}{x^5 (a+b \arctan (c x))}{(d+e x^2)^3} \, dx\) [1165]
   \(\int \genfrac {}{}{}{}{x^3 (a+b \arctan (c x))}{(d+e x^2)^3} \, dx\) [1166]
   \(\int \genfrac {}{}{}{}{x (a+b \arctan (c x))}{(d+e x^2)^3} \, dx\) [1167]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x (d+e x^2)^3} \, dx\) [1168]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^3 (d+e x^2)^3} \, dx\) [1169]
   \(\int \genfrac {}{}{}{}{x^2 (a+b \arctan (c x))}{(d+e x^2)^3} \, dx\) [1170]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{(d+e x^2)^3} \, dx\) [1171]
   \(\int \genfrac {}{}{}{}{a+b \arctan (c x)}{x^2 (d+e x^2)^3} \, dx\) [1172]
   \(\int x^3 \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx\) [1173]
   \(\int x^2 \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx\) [1174]
   \(\int x \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx\) [1175]
   \(\int \sqrt {d+e x^2} (a+b \arctan (c x)) \, dx\) [1176]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \arctan (c x))}{x} \, dx\) [1177]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \arctan (c x))}{x^2} \, dx\) [1178]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \arctan (c x))}{x^3} \, dx\) [1179]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \arctan (c x))}{x^4} \, dx\) [1180]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \arctan (c x))}{x^5} \, dx\) [1181]
   \(\int \genfrac {}{}{}{}{\sqrt {d+e x^2} (a+b \arctan (c x))}{x^6} \, dx\) [1182]
   \(\int x^3 (d+e x^2)^{3/2} (a+b \arctan (c x)) \, dx\) [1183]
   \(\int x^2 (d+e x^2)^{3/2} (a+b \arctan (c x)) \, dx\) [1184]
   \(\int x (d+e x^2)^{3/2} (a+b \arctan (c x)) \, dx\) [1185]
   \(\int (d+e x^2)^{3/2} (a+b \arctan (c x)) \, dx\) [1186]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \arctan (c x))}{x} \, dx\) [1187]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \arctan (c x))}{x^2} \, dx\) [1188]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \arctan (c x))}{x^3} \, dx\) [1189]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \arctan (c x))}{x^4} \, dx\) [1190]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \arctan (c x))}{x^5} \, dx\) [1191]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{3/2} (a+b \arctan (c x))}{x^6} \, dx\) [1192]
   \(\int x^3 (d+e x^2)^{5/2} (a+b \arctan (c x)) \, dx\) [1193]
   \(\int x^2 (d+e x^2)^{5/2} (a+b \arctan (c x)) \, dx\) [1194]
   \(\int x (d+e x^2)^{5/2} (a+b \arctan (c x)) \, dx\) [1195]
   \(\int (d+e x^2)^{5/2} (a+b \arctan (c x)) \, dx\) [1196]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (a+b \arctan (c x))}{x} \, dx\) [1197]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (a+b \arctan (c x))}{x^2} \, dx\) [1198]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (a+b \arctan (c x))}{x^3} \, dx\) [1199]
   \(\int \genfrac {}{}{}{}{(d+e x^2)^{5/2} (a+b \arctan (c x))}{x^4} \, dx\) [1200]