\(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1001]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1002]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1003]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1004]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1005]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^3 \arctan (a x)^{3/2}} \, dx\) [1006]
   \(\int \genfrac {}{}{}{}{x^m \sqrt {c+a^2 c x^2}}{\arctan (a x)^{3/2}} \, dx\) [1007]
   \(\int \genfrac {}{}{}{}{x \sqrt {c+a^2 c x^2}}{\arctan (a x)^{3/2}} \, dx\) [1008]
   \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{\arctan (a x)^{3/2}} \, dx\) [1009]
   \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{x \arctan (a x)^{3/2}} \, dx\) [1010]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{3/2}}{\arctan (a x)^{3/2}} \, dx\) [1011]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{3/2}}{\arctan (a x)^{3/2}} \, dx\) [1012]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{\arctan (a x)^{3/2}} \, dx\) [1013]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{x \arctan (a x)^{3/2}} \, dx\) [1014]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{5/2}}{\arctan (a x)^{3/2}} \, dx\) [1015]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{5/2}}{\arctan (a x)^{3/2}} \, dx\) [1016]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{\arctan (a x)^{3/2}} \, dx\) [1017]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{x \arctan (a x)^{3/2}} \, dx\) [1018]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {c+a^2 c x^2} \arctan (a x)^{3/2}} \, dx\) [1019]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {c+a^2 c x^2} \arctan (a x)^{3/2}} \, dx\) [1020]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {c+a^2 c x^2} \arctan (a x)^{3/2}} \, dx\) [1021]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {c+a^2 c x^2} \arctan (a x)^{3/2}} \, dx\) [1022]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {c+a^2 c x^2} \arctan (a x)^{3/2}} \, dx\) [1023]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1024]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1025]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1026]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1027]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1028]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1029]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1030]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1031]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^{3/2} \arctan (a x)^{3/2}} \, dx\) [1032]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1033]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1034]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1035]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1036]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1037]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1038]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1039]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1040]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^{5/2} \arctan (a x)^{3/2}} \, dx\) [1041]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)}{\arctan (a x)^{5/2}} \, dx\) [1042]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)}{\arctan (a x)^{5/2}} \, dx\) [1043]
   \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{\arctan (a x)^{5/2}} \, dx\) [1044]
   \(\int \genfrac {}{}{}{}{c+a^2 c x^2}{x \arctan (a x)^{5/2}} \, dx\) [1045]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^2}{\arctan (a x)^{5/2}} \, dx\) [1046]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^2}{\arctan (a x)^{5/2}} \, dx\) [1047]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{\arctan (a x)^{5/2}} \, dx\) [1048]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^2}{x \arctan (a x)^{5/2}} \, dx\) [1049]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^3}{\arctan (a x)^{5/2}} \, dx\) [1050]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^3}{\arctan (a x)^{5/2}} \, dx\) [1051]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{\arctan (a x)^{5/2}} \, dx\) [1052]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^3}{x \arctan (a x)^{5/2}} \, dx\) [1053]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2) \arctan (a x)^{5/2}} \, dx\) [1054]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2) \arctan (a x)^{5/2}} \, dx\) [1055]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2) \arctan (a x)^{5/2}} \, dx\) [1056]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2) \arctan (a x)^{5/2}} \, dx\) [1057]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1058]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1059]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1060]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1061]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1062]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1063]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1064]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1065]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^2 \arctan (a x)^{5/2}} \, dx\) [1066]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1067]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1068]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1069]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1070]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1071]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1072]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1073]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1074]
   \(\int \genfrac {}{}{}{}{1}{x^4 (c+a^2 c x^2)^3 \arctan (a x)^{5/2}} \, dx\) [1075]
   \(\int \genfrac {}{}{}{}{x^m \sqrt {c+a^2 c x^2}}{\arctan (a x)^{5/2}} \, dx\) [1076]
   \(\int \genfrac {}{}{}{}{x \sqrt {c+a^2 c x^2}}{\arctan (a x)^{5/2}} \, dx\) [1077]
   \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{\arctan (a x)^{5/2}} \, dx\) [1078]
   \(\int \genfrac {}{}{}{}{\sqrt {c+a^2 c x^2}}{x \arctan (a x)^{5/2}} \, dx\) [1079]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{3/2}}{\arctan (a x)^{5/2}} \, dx\) [1080]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{3/2}}{\arctan (a x)^{5/2}} \, dx\) [1081]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{\arctan (a x)^{5/2}} \, dx\) [1082]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{3/2}}{x \arctan (a x)^{5/2}} \, dx\) [1083]
   \(\int \genfrac {}{}{}{}{x^m (c+a^2 c x^2)^{5/2}}{\arctan (a x)^{5/2}} \, dx\) [1084]
   \(\int \genfrac {}{}{}{}{x (c+a^2 c x^2)^{5/2}}{\arctan (a x)^{5/2}} \, dx\) [1085]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{\arctan (a x)^{5/2}} \, dx\) [1086]
   \(\int \genfrac {}{}{}{}{(c+a^2 c x^2)^{5/2}}{x \arctan (a x)^{5/2}} \, dx\) [1087]
   \(\int \genfrac {}{}{}{}{x^m}{\sqrt {c+a^2 c x^2} \arctan (a x)^{5/2}} \, dx\) [1088]
   \(\int \genfrac {}{}{}{}{x}{\sqrt {c+a^2 c x^2} \arctan (a x)^{5/2}} \, dx\) [1089]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {c+a^2 c x^2} \arctan (a x)^{5/2}} \, dx\) [1090]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt {c+a^2 c x^2} \arctan (a x)^{5/2}} \, dx\) [1091]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt {c+a^2 c x^2} \arctan (a x)^{5/2}} \, dx\) [1092]
   \(\int \genfrac {}{}{}{}{x^m}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1093]
   \(\int \genfrac {}{}{}{}{x^3}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1094]
   \(\int \genfrac {}{}{}{}{x^2}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1095]
   \(\int \genfrac {}{}{}{}{x}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1096]
   \(\int \genfrac {}{}{}{}{1}{(c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1097]
   \(\int \genfrac {}{}{}{}{1}{x (c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1098]
   \(\int \genfrac {}{}{}{}{1}{x^2 (c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1099]
   \(\int \genfrac {}{}{}{}{1}{x^3 (c+a^2 c x^2)^{3/2} \arctan (a x)^{5/2}} \, dx\) [1100]