3.12 Integrals 1101 to 1156

3.12.1 \(\int \genfrac {}{}{}{}{c+d x^2}{\sqrt {e x} (a+b x^2)^{3/4}} \, dx\) [1101]
3.12.2 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{5/2} (a+b x^2)^{3/4}} \, dx\) [1102]
3.12.3 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{9/2} (a+b x^2)^{3/4}} \, dx\) [1103]
3.12.4 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{13/2} (a+b x^2)^{3/4}} \, dx\) [1104]
3.12.5 \(\int \genfrac {}{}{}{}{(e x)^{3/2} (c+d x^2)}{(a+b x^2)^{5/4}} \, dx\) [1105]
3.12.6 \(\int \genfrac {}{}{}{}{c+d x^2}{\sqrt {e x} (a+b x^2)^{5/4}} \, dx\) [1106]
3.12.7 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{5/2} (a+b x^2)^{5/4}} \, dx\) [1107]
3.12.8 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{9/2} (a+b x^2)^{5/4}} \, dx\) [1108]
3.12.9 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{13/2} (a+b x^2)^{5/4}} \, dx\) [1109]
3.12.10 \(\int \genfrac {}{}{}{}{(e x)^{9/2} (c+d x^2)}{(a+b x^2)^{5/4}} \, dx\) [1110]
3.12.11 \(\int \genfrac {}{}{}{}{(e x)^{5/2} (c+d x^2)}{(a+b x^2)^{5/4}} \, dx\) [1111]
3.12.12 \(\int \genfrac {}{}{}{}{\sqrt {e x} (c+d x^2)}{(a+b x^2)^{5/4}} \, dx\) [1112]
3.12.13 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{3/2} (a+b x^2)^{5/4}} \, dx\) [1113]
3.12.14 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{7/2} (a+b x^2)^{5/4}} \, dx\) [1114]
3.12.15 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{11/2} (a+b x^2)^{5/4}} \, dx\) [1115]
3.12.16 \(\int \genfrac {}{}{}{}{(e x)^{5/2} (c+d x^2)}{(a+b x^2)^{7/4}} \, dx\) [1116]
3.12.17 \(\int \genfrac {}{}{}{}{\sqrt {e x} (c+d x^2)}{(a+b x^2)^{7/4}} \, dx\) [1117]
3.12.18 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{3/2} (a+b x^2)^{7/4}} \, dx\) [1118]
3.12.19 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{7/2} (a+b x^2)^{7/4}} \, dx\) [1119]
3.12.20 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{11/2} (a+b x^2)^{7/4}} \, dx\) [1120]
3.12.21 \(\int \genfrac {}{}{}{}{(e x)^{7/2} (c+d x^2)}{(a+b x^2)^{7/4}} \, dx\) [1121]
3.12.22 \(\int \genfrac {}{}{}{}{(e x)^{3/2} (c+d x^2)}{(a+b x^2)^{7/4}} \, dx\) [1122]
3.12.23 \(\int \genfrac {}{}{}{}{c+d x^2}{\sqrt {e x} (a+b x^2)^{7/4}} \, dx\) [1123]
3.12.24 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{5/2} (a+b x^2)^{7/4}} \, dx\) [1124]
3.12.25 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{9/2} (a+b x^2)^{7/4}} \, dx\) [1125]
3.12.26 \(\int \genfrac {}{}{}{}{(e x)^{7/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\) [1126]
3.12.27 \(\int \genfrac {}{}{}{}{(e x)^{3/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\) [1127]
3.12.28 \(\int \genfrac {}{}{}{}{c+d x^2}{\sqrt {e x} (a+b x^2)^{9/4}} \, dx\) [1128]
3.12.29 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{5/2} (a+b x^2)^{9/4}} \, dx\) [1129]
3.12.30 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{9/2} (a+b x^2)^{9/4}} \, dx\) [1130]
3.12.31 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{13/2} (a+b x^2)^{9/4}} \, dx\) [1131]
3.12.32 \(\int \genfrac {}{}{}{}{(e x)^{13/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\) [1132]
3.12.33 \(\int \genfrac {}{}{}{}{(e x)^{9/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\) [1133]
3.12.34 \(\int \genfrac {}{}{}{}{(e x)^{5/2} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\) [1134]
3.12.35 \(\int \genfrac {}{}{}{}{\sqrt {e x} (c+d x^2)}{(a+b x^2)^{9/4}} \, dx\) [1135]
3.12.36 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{3/2} (a+b x^2)^{9/4}} \, dx\) [1136]
3.12.37 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{7/2} (a+b x^2)^{9/4}} \, dx\) [1137]
3.12.38 \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{11/2} (a+b x^2)^{9/4}} \, dx\) [1138]
3.12.39 \(\int (e x)^m (a+b x^2)^p (c+d x^2)^q \, dx\) [1139]
3.12.40 \(\int x^4 (a+b x^2)^p (c+d x^2)^q \, dx\) [1140]
3.12.41 \(\int x^2 (a+b x^2)^p (c+d x^2)^q \, dx\) [1141]
3.12.42 \(\int (a+b x^2)^p (c+d x^2)^q \, dx\) [1142]
3.12.43 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^2} \, dx\) [1143]
3.12.44 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^4} \, dx\) [1144]
3.12.45 \(\int x^5 (a+b x^2)^p (c+d x^2)^q \, dx\) [1145]
3.12.46 \(\int x^3 (a+b x^2)^p (c+d x^2)^q \, dx\) [1146]
3.12.47 \(\int x (a+b x^2)^p (c+d x^2)^q \, dx\) [1147]
3.12.48 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x} \, dx\) [1148]
3.12.49 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^3} \, dx\) [1149]
3.12.50 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{x^5} \, dx\) [1150]
3.12.51 \(\int (e x)^{5/2} (a+b x^2)^p (c+d x^2)^q \, dx\) [1151]
3.12.52 \(\int (e x)^{3/2} (a+b x^2)^p (c+d x^2)^q \, dx\) [1152]
3.12.53 \(\int \sqrt {e x} (a+b x^2)^p (c+d x^2)^q \, dx\) [1153]
3.12.54 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{\sqrt {e x}} \, dx\) [1154]
3.12.55 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{(e x)^{3/2}} \, dx\) [1155]
3.12.56 \(\int \genfrac {}{}{}{}{(a+b x^2)^p (c+d x^2)^q}{(e x)^{5/2}} \, dx\) [1156]