3.12 Integrals 1101 to 1200

   \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{15/2}} \, dx\) [1101]
   \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{17/2}} \, dx\) [1102]
   \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{19/2}} \, dx\) [1103]
   \(\int \genfrac {}{}{}{}{(1+a x)^{3/2}}{\sqrt {1-a x}} \, dx\) [1104]
   \(\int \genfrac {}{}{}{}{(1+a x) \sqrt {1-a^2 x^2}}{1-a x} \, dx\) [1105]
   \(\int \genfrac {}{}{}{}{(1-x)^{7/2}}{\sqrt {1+x}} \, dx\) [1106]
   \(\int \genfrac {}{}{}{}{(1-x)^{5/2}}{\sqrt {1+x}} \, dx\) [1107]
   \(\int \genfrac {}{}{}{}{(1-x)^{3/2}}{\sqrt {1+x}} \, dx\) [1108]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x}}{\sqrt {1+x}} \, dx\) [1109]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} \sqrt {1+x}} \, dx\) [1110]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{3/2} \sqrt {1+x}} \, dx\) [1111]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{5/2} \sqrt {1+x}} \, dx\) [1112]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{7/2} \sqrt {1+x}} \, dx\) [1113]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{9/2} \sqrt {1+x}} \, dx\) [1114]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{11/2} \sqrt {1+x}} \, dx\) [1115]
   \(\int \genfrac {}{}{}{}{(1-x)^{7/2}}{(1+x)^{3/2}} \, dx\) [1116]
   \(\int \genfrac {}{}{}{}{(1-x)^{5/2}}{(1+x)^{3/2}} \, dx\) [1117]
   \(\int \genfrac {}{}{}{}{(1-x)^{3/2}}{(1+x)^{3/2}} \, dx\) [1118]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x}}{(1+x)^{3/2}} \, dx\) [1119]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} (1+x)^{3/2}} \, dx\) [1120]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{3/2} (1+x)^{3/2}} \, dx\) [1121]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{5/2} (1+x)^{3/2}} \, dx\) [1122]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{7/2} (1+x)^{3/2}} \, dx\) [1123]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{9/2} (1+x)^{3/2}} \, dx\) [1124]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{11/2} (1+x)^{3/2}} \, dx\) [1125]
   \(\int \genfrac {}{}{}{}{(1-x)^{9/2}}{(1+x)^{5/2}} \, dx\) [1126]
   \(\int \genfrac {}{}{}{}{(1-x)^{7/2}}{(1+x)^{5/2}} \, dx\) [1127]
   \(\int \genfrac {}{}{}{}{(1-x)^{5/2}}{(1+x)^{5/2}} \, dx\) [1128]
   \(\int \genfrac {}{}{}{}{(1-x)^{3/2}}{(1+x)^{5/2}} \, dx\) [1129]
   \(\int \genfrac {}{}{}{}{\sqrt {1-x}}{(1+x)^{5/2}} \, dx\) [1130]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {1-x} (1+x)^{5/2}} \, dx\) [1131]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{3/2} (1+x)^{5/2}} \, dx\) [1132]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{5/2} (1+x)^{5/2}} \, dx\) [1133]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{7/2} (1+x)^{5/2}} \, dx\) [1134]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{9/2} (1+x)^{5/2}} \, dx\) [1135]
   \(\int \genfrac {}{}{}{}{1}{(1-x)^{11/2} (1+x)^{5/2}} \, dx\) [1136]
   \(\int (a+a x)^{5/2} (c-c x)^{5/2} \, dx\) [1137]
   \(\int (a+a x)^{3/2} (c-c x)^{3/2} \, dx\) [1138]
   \(\int \sqrt {a+a x} \sqrt {c-c x} \, dx\) [1139]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+a x} \sqrt {c-c x}} \, dx\) [1140]
   \(\int \genfrac {}{}{}{}{1}{(a+a x)^{3/2} (c-c x)^{3/2}} \, dx\) [1141]
   \(\int \genfrac {}{}{}{}{1}{(a+a x)^{5/2} (c-c x)^{5/2}} \, dx\) [1142]
   \(\int \genfrac {}{}{}{}{1}{(a+a x)^{7/2} (c-c x)^{7/2}} \, dx\) [1143]
   \(\int \genfrac {}{}{}{}{1}{(a+a x)^{9/2} (c-c x)^{9/2}} \, dx\) [1144]
   \(\int (a+b x)^{5/2} (a c-b c x)^{5/2} \, dx\) [1145]
   \(\int (a+b x)^{3/2} (a c-b c x)^{3/2} \, dx\) [1146]
   \(\int \sqrt {a+b x} \sqrt {a c-b c x} \, dx\) [1147]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {a c-b c x}} \, dx\) [1148]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{3/2} (a c-b c x)^{3/2}} \, dx\) [1149]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{5/2} (a c-b c x)^{5/2}} \, dx\) [1150]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{7/2} (a c-b c x)^{7/2}} \, dx\) [1151]
   \(\int \genfrac {}{}{}{}{1}{(a+b x)^{9/2} (a c-b c x)^{9/2}} \, dx\) [1152]
   \(\int (3-6 x)^{5/2} (2+4 x)^{5/2} \, dx\) [1153]
   \(\int (3-6 x)^{3/2} (2+4 x)^{3/2} \, dx\) [1154]
   \(\int \sqrt {3-6 x} \sqrt {2+4 x} \, dx\) [1155]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {3-6 x} \sqrt {2+4 x}} \, dx\) [1156]
   \(\int \genfrac {}{}{}{}{1}{(3-6 x)^{3/2} (2+4 x)^{3/2}} \, dx\) [1157]
   \(\int \genfrac {}{}{}{}{1}{(3-6 x)^{5/2} (2+4 x)^{5/2}} \, dx\) [1158]
   \(\int \genfrac {}{}{}{}{1}{(3-6 x)^{7/2} (2+4 x)^{7/2}} \, dx\) [1159]
   \(\int (3-x)^{3/2} (-2+x)^{3/2} \, dx\) [1160]
   \(\int \sqrt {3-x} \sqrt {-2+x} \, dx\) [1161]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {3-x} \sqrt {-2+x}} \, dx\) [1162]
   \(\int \genfrac {}{}{}{}{1}{(3-x)^{3/2} (-2+x)^{3/2}} \, dx\) [1163]
   \(\int \genfrac {}{}{}{}{1}{(3-x)^{5/2} (-2+x)^{5/2}} \, dx\) [1164]
   \(\int \genfrac {}{}{}{}{1}{(3-x)^{3/2} (3+x)^{3/2}} \, dx\) [1165]
   \(\int \genfrac {}{}{}{}{1}{(3-b x)^{3/2} (3+b x)^{3/2}} \, dx\) [1166]
   \(\int \genfrac {}{}{}{}{1}{(6-2 x)^{3/2} (3+x)^{3/2}} \, dx\) [1167]
   \(\int \genfrac {}{}{}{}{1}{(6-2 b x)^{3/2} (3+b x)^{3/2}} \, dx\) [1168]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b x} \sqrt {-a d+b d x}} \, dx\) [1169]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{6-3 e x} (2+e x)^{3/4}} \, dx\) [1170]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{7/4}}{\sqrt [4]{a+i a x}} \, dx\) [1171]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{3/4}}{\sqrt [4]{a+i a x}} \, dx\) [1172]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-i a x} \sqrt [4]{a+i a x}} \, dx\) [1173]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{5/4} \sqrt [4]{a+i a x}} \, dx\) [1174]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{9/4} \sqrt [4]{a+i a x}} \, dx\) [1175]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{13/4} \sqrt [4]{a+i a x}} \, dx\) [1176]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{17/4} \sqrt [4]{a+i a x}} \, dx\) [1177]
   \(\int \genfrac {}{}{}{}{\sqrt [4]{a-i a x}}{\sqrt [4]{a+i a x}} \, dx\) [1178]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{3/4} \sqrt [4]{a+i a x}} \, dx\) [1179]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{7/4} \sqrt [4]{a+i a x}} \, dx\) [1180]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{11/4} \sqrt [4]{a+i a x}} \, dx\) [1181]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{15/4} \sqrt [4]{a+i a x}} \, dx\) [1182]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{19/4} \sqrt [4]{a+i a x}} \, dx\) [1183]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{3/4}}{(a+i a x)^{3/4}} \, dx\) [1184]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-i a x} (a+i a x)^{3/4}} \, dx\) [1185]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{5/4} (a+i a x)^{3/4}} \, dx\) [1186]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{9/4} (a+i a x)^{3/4}} \, dx\) [1187]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{13/4} (a+i a x)^{3/4}} \, dx\) [1188]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{5/4}}{(a+i a x)^{3/4}} \, dx\) [1189]
   \(\int \genfrac {}{}{}{}{\sqrt [4]{a-i a x}}{(a+i a x)^{3/4}} \, dx\) [1190]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{3/4} (a+i a x)^{3/4}} \, dx\) [1191]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{7/4} (a+i a x)^{3/4}} \, dx\) [1192]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{11/4} (a+i a x)^{3/4}} \, dx\) [1193]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{7/4}}{(a+i a x)^{7/4}} \, dx\) [1194]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{3/4}}{(a+i a x)^{7/4}} \, dx\) [1195]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{a-i a x} (a+i a x)^{7/4}} \, dx\) [1196]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{5/4} (a+i a x)^{7/4}} \, dx\) [1197]
   \(\int \genfrac {}{}{}{}{1}{(a-i a x)^{9/4} (a+i a x)^{7/4}} \, dx\) [1198]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{9/4}}{(a+i a x)^{7/4}} \, dx\) [1199]
   \(\int \genfrac {}{}{}{}{(a-i a x)^{5/4}}{(a+i a x)^{7/4}} \, dx\) [1200]