3.11.1 \(\int \genfrac {}{}{}{}{(a+\genfrac {}{}{}{}{b}{x^2})^p (c+\genfrac {}{}{}{}{d}{x^2})^q}{(e x)^{5/2}} \, dx\) [1001]
3.11.2 \(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{5/2} \, dx\) [1002]
3.11.3 \(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{3/2} \, dx\) [1003]
3.11.4 \(\int \sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} \sqrt {x} \, dx\) [1004]
3.11.5 \(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{\sqrt {x}} \, dx\) [1005]
3.11.6 \(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{3/2}} \, dx\) [1006]
3.11.7 \(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{5/2}} \, dx\) [1007]
3.11.8 \(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{7/2}} \, dx\) [1008]
3.11.9 \(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{9/2}} \, dx\) [1009]
3.11.10 \(\int \genfrac {}{}{}{}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}}{x^{11/2}} \, dx\) [1010]
3.11.11 \(\int \genfrac {}{}{}{}{x^{5/2}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\) [1011]
3.11.12 \(\int \genfrac {}{}{}{}{x^{3/2}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\) [1012]
3.11.13 \(\int \genfrac {}{}{}{}{\sqrt {x}}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}}} \, dx\) [1013]
3.11.14 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} \sqrt {x}} \, dx\) [1014]
3.11.15 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{3/2}} \, dx\) [1015]
3.11.16 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{5/2}} \, dx\) [1016]
3.11.17 \(\int \genfrac {}{}{}{}{1}{\sqrt {-1+\sqrt {x}} \sqrt {1+\sqrt {x}} x^{7/2}} \, dx\) [1017]
3.11.18 \(\int x^2 (-a+b x^n)^p (a+b x^n)^p \, dx\) [1018]
3.11.19 \(\int x (-a+b x^n)^p (a+b x^n)^p \, dx\) [1019]
3.11.20 \(\int (-a+b x^n)^p (a+b x^n)^p \, dx\) [1020]
3.11.21 \(\int \genfrac {}{}{}{}{(-a+b x^n)^p (a+b x^n)^p}{x} \, dx\) [1021]
3.11.22 \(\int \genfrac {}{}{}{}{(-a+b x^n)^p (a+b x^n)^p}{x^2} \, dx\) [1022]
3.11.23 \(\int \genfrac {}{}{}{}{1+x^6}{x (1-x^6)} \, dx\) [1023]
3.11.24 \(\int (e x)^m (a+b x^n)^p (a (1+m)+b (1+m+n+n p) x^n) \, dx\) [1024]
3.11.25 \(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x^n) (c+d x^n)} \, dx\) [1025]
3.11.26 \(\int \genfrac {}{}{}{}{x^2}{(a+b x^n) (c+d x^n)} \, dx\) [1026]
3.11.27 \(\int \genfrac {}{}{}{}{x}{(a+b x^n) (c+d x^n)} \, dx\) [1027]
3.11.28 \(\int \genfrac {}{}{}{}{1}{(a+b x^n) (c+d x^n)} \, dx\) [1028]
3.11.29 \(\int \genfrac {}{}{}{}{1}{x (a+b x^n) (c+d x^n)} \, dx\) [1029]
3.11.30 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n) (c+d x^n)} \, dx\) [1030]
3.11.31 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n) (c+d x^n)} \, dx\) [1031]
3.11.32 \(\int \genfrac {}{}{}{}{(e x)^m}{(a+b x^n)^2 (c+d x^n)} \, dx\) [1032]
3.11.33 \(\int \genfrac {}{}{}{}{x^2}{(a+b x^n)^2 (c+d x^n)} \, dx\) [1033]
3.11.34 \(\int \genfrac {}{}{}{}{x}{(a+b x^n)^2 (c+d x^n)} \, dx\) [1034]
3.11.35 \(\int \genfrac {}{}{}{}{1}{(a+b x^n)^2 (c+d x^n)} \, dx\) [1035]
3.11.36 \(\int \genfrac {}{}{}{}{1}{x (a+b x^n)^2 (c+d x^n)} \, dx\) [1036]
3.11.37 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^n)^2 (c+d x^n)} \, dx\) [1037]
3.11.38 \(\int \genfrac {}{}{}{}{1}{x^3 (a+b x^n)^2 (c+d x^n)} \, dx\) [1038]
3.11.39 \(\int \genfrac {}{}{}{}{x^{-1+2 n} (a+b x^n)^3}{c+d x^n} \, dx\) [1039]
3.11.40 \(\int \genfrac {}{}{}{}{x^{-1+2 n} (a+b x^n)^2}{c+d x^n} \, dx\) [1040]
3.11.41 \(\int \genfrac {}{}{}{}{x^{-1+2 n} (a+b x^n)}{c+d x^n} \, dx\) [1041]
3.11.42 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n) (c+d x^n)} \, dx\) [1042]
3.11.43 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n)^2 (c+d x^n)} \, dx\) [1043]
3.11.44 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n)^3 (c+d x^n)} \, dx\) [1044]
3.11.45 \(\int \genfrac {}{}{}{}{x^{-1+3 n} (a+b x^n)^3}{c+d x^n} \, dx\) [1045]
3.11.46 \(\int \genfrac {}{}{}{}{x^{-1+3 n} (a+b x^n)^2}{c+d x^n} \, dx\) [1046]
3.11.47 \(\int \genfrac {}{}{}{}{x^{-1+3 n} (a+b x^n)}{c+d x^n} \, dx\) [1047]
3.11.48 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n) (c+d x^n)} \, dx\) [1048]
3.11.49 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n)^2 (c+d x^n)} \, dx\) [1049]
3.11.50 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n)^3 (c+d x^n)} \, dx\) [1050]
3.11.51 \(\int x^{13} (b+c x)^{13} (b+2 c x) \, dx\) [1051]
3.11.52 \(\int x^{27} (b+c x^2)^{13} (b+2 c x^2) \, dx\) [1052]
3.11.53 \(\int x^{41} (b+c x^3)^{13} (b+2 c x^3) \, dx\) [1053]
3.11.54 \(\int x^{-1+14 n} (b+c x^n)^{13} (b+2 c x^n) \, dx\) [1054]
3.11.55 \(\int x^{-1+m} (a+b x^n)^{-1+p} (a m+b (m+n p) x^n) \, dx\) [1055]
3.11.56 \(\int \genfrac {}{}{}{}{b+2 c x}{x (b+c x)} \, dx\) [1056]
3.11.57 \(\int \genfrac {}{}{}{}{b+2 c x^2}{x (b+c x^2)} \, dx\) [1057]
3.11.58 \(\int \genfrac {}{}{}{}{b+2 c x^3}{x (b+c x^3)} \, dx\) [1058]
3.11.59 \(\int \genfrac {}{}{}{}{b+2 c x^n}{x (b+c x^n)} \, dx\) [1059]
3.11.60 \(\int \genfrac {}{}{}{}{b+2 c x}{x^8 (b+c x)^8} \, dx\) [1060]
3.11.61 \(\int \genfrac {}{}{}{}{b+2 c x^2}{x^{15} (b+c x^2)^8} \, dx\) [1061]
3.11.62 \(\int \genfrac {}{}{}{}{b+2 c x^3}{x^{22} (b+c x^3)^8} \, dx\) [1062]
3.11.63 \(\int \genfrac {}{}{}{}{x^{-1-7 n} (b+2 c x^n)}{(b+c x^n)^8} \, dx\) [1063]
3.11.64 \(\int \genfrac {}{}{}{}{x^{31} \sqrt {1+x^{16}}}{1-x^{16}} \, dx\) [1064]
3.11.65 \(\int \genfrac {}{}{}{}{\sqrt {c+\genfrac {}{}{}{}{d}{x}}}{\sqrt {a+\genfrac {}{}{}{}{b}{x}} x} \, dx\) [1065]
3.11.66 \(\int \genfrac {}{}{}{}{x^{-1+2 n} (a+b x^n)^{5/2}}{\sqrt {c+d x^n}} \, dx\) [1066]
3.11.67 \(\int \genfrac {}{}{}{}{x^{-1+2 n} (a+b x^n)^{3/2}}{\sqrt {c+d x^n}} \, dx\) [1067]
3.11.68 \(\int \genfrac {}{}{}{}{x^{-1+2 n} \sqrt {a+b x^n}}{\sqrt {c+d x^n}} \, dx\) [1068]
3.11.69 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{\sqrt {a+b x^n} \sqrt {c+d x^n}} \, dx\) [1069]
3.11.70 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n)^{3/2} \sqrt {c+d x^n}} \, dx\) [1070]
3.11.71 \(\int \genfrac {}{}{}{}{x^{-1+2 n}}{(a+b x^n)^{5/2} \sqrt {c+d x^n}} \, dx\) [1071]
3.11.72 \(\int \genfrac {}{}{}{}{x^{-1+3 n} (a+b x^n)^{5/2}}{\sqrt {c+d x^n}} \, dx\) [1072]
3.11.73 \(\int \genfrac {}{}{}{}{x^{-1+3 n} (a+b x^n)^{3/2}}{\sqrt {c+d x^n}} \, dx\) [1073]
3.11.74 \(\int \genfrac {}{}{}{}{x^{-1+3 n} \sqrt {a+b x^n}}{\sqrt {c+d x^n}} \, dx\) [1074]
3.11.75 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{\sqrt {a+b x^n} \sqrt {c+d x^n}} \, dx\) [1075]
3.11.76 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n)^{3/2} \sqrt {c+d x^n}} \, dx\) [1076]
3.11.77 \(\int \genfrac {}{}{}{}{x^{-1+3 n}}{(a+b x^n)^{5/2} \sqrt {c+d x^n}} \, dx\) [1077]
3.11.78 \(\int x^p (b+c x)^p (b+2 c x) \, dx\) [1078]
3.11.79 \(\int x^{-1+2 (1+p)} (b+c x^2)^p (b+2 c x^2) \, dx\) [1079]
3.11.80 \(\int x^{-1+3 (1+p)} (b+c x^3)^p (b+2 c x^3) \, dx\) [1080]
3.11.81 \(\int x^{-1+n (1+p)} (b+c x^n)^p (b+2 c x^n) \, dx\) [1081]