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3.11
Integrals 1001 to 1100
\(\int x^{3/2} (A+B x) (a+b x+c x^2)^3 \, dx\) [1001]
\(\int \sqrt {x} (A+B x) (a+b x+c x^2)^3 \, dx\) [1002]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{\sqrt {x}} \, dx\) [1003]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{3/2}} \, dx\) [1004]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{5/2}} \, dx\) [1005]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{7/2}} \, dx\) [1006]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{9/2}} \, dx\) [1007]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^3}{x^{11/2}} \, dx\) [1008]
\(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{a+b x+c x^2} \, dx\) [1009]
\(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{a+b x+c x^2} \, dx\) [1010]
\(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{a+b x+c x^2} \, dx\) [1011]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+b x+c x^2)} \, dx\) [1012]
\(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+b x+c x^2)} \, dx\) [1013]
\(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a+b x+c x^2)} \, dx\) [1014]
\(\int \genfrac {}{}{}{}{A+B x}{x^{7/2} (a+b x+c x^2)} \, dx\) [1015]
\(\int \genfrac {}{}{}{}{A+B x}{x^{9/2} (a+b x+c x^2)} \, dx\) [1016]
\(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a+b x+c x^2)^2} \, dx\) [1017]
\(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a+b x+c x^2)^2} \, dx\) [1018]
\(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a+b x+c x^2)^2} \, dx\) [1019]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+b x+c x^2)^2} \, dx\) [1020]
\(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+b x+c x^2)^2} \, dx\) [1021]
\(\int \genfrac {}{}{}{}{A+B x}{x^{5/2} (a+b x+c x^2)^2} \, dx\) [1022]
\(\int \genfrac {}{}{}{}{x^{7/2} (A+B x)}{(a+b x+c x^2)^3} \, dx\) [1023]
\(\int \genfrac {}{}{}{}{x^{5/2} (A+B x)}{(a+b x+c x^2)^3} \, dx\) [1024]
\(\int \genfrac {}{}{}{}{x^{3/2} (A+B x)}{(a+b x+c x^2)^3} \, dx\) [1025]
\(\int \genfrac {}{}{}{}{\sqrt {x} (A+B x)}{(a+b x+c x^2)^3} \, dx\) [1026]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {x} (a+b x+c x^2)^3} \, dx\) [1027]
\(\int \genfrac {}{}{}{}{A+B x}{x^{3/2} (a+b x+c x^2)^3} \, dx\) [1028]
\(\int \sqrt {x} (A+B x) \sqrt {a+b x+c x^2} \, dx\) [1029]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x+c x^2}}{\sqrt {x}} \, dx\) [1030]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x+c x^2}}{x^{3/2}} \, dx\) [1031]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x+c x^2}}{x^{5/2}} \, dx\) [1032]
\(\int \genfrac {}{}{}{}{(A+B x) \sqrt {a+b x+c x^2}}{x^{7/2}} \, dx\) [1033]
\(\int (2-5 x) x^{7/2} \sqrt {2+5 x+3 x^2} \, dx\) [1034]
\(\int (2-5 x) x^{5/2} \sqrt {2+5 x+3 x^2} \, dx\) [1035]
\(\int (2-5 x) x^{3/2} \sqrt {2+5 x+3 x^2} \, dx\) [1036]
\(\int (2-5 x) \sqrt {x} \sqrt {2+5 x+3 x^2} \, dx\) [1037]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {2+5 x+3 x^2}}{\sqrt {x}} \, dx\) [1038]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {2+5 x+3 x^2}}{x^{3/2}} \, dx\) [1039]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {2+5 x+3 x^2}}{x^{5/2}} \, dx\) [1040]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {2+5 x+3 x^2}}{x^{7/2}} \, dx\) [1041]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {2+5 x+3 x^2}}{x^{9/2}} \, dx\) [1042]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {2+5 x+3 x^2}}{x^{11/2}} \, dx\) [1043]
\(\int (2-5 x) x^{5/2} (2+5 x+3 x^2)^{3/2} \, dx\) [1044]
\(\int (2-5 x) x^{3/2} (2+5 x+3 x^2)^{3/2} \, dx\) [1045]
\(\int (2-5 x) \sqrt {x} (2+5 x+3 x^2)^{3/2} \, dx\) [1046]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{\sqrt {x}} \, dx\) [1047]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{3/2}} \, dx\) [1048]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{5/2}} \, dx\) [1049]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{7/2}} \, dx\) [1050]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{9/2}} \, dx\) [1051]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{11/2}} \, dx\) [1052]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{13/2}} \, dx\) [1053]
\(\int \genfrac {}{}{}{}{(2-5 x) (2+5 x+3 x^2)^{3/2}}{x^{15/2}} \, dx\) [1054]
\(\int \genfrac {}{}{}{}{A+B x}{\sqrt {e x} \sqrt {a+b x+c x^2}} \, dx\) [1055]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{7/2}}{\sqrt {2+5 x+3 x^2}} \, dx\) [1056]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{5/2}}{\sqrt {2+5 x+3 x^2}} \, dx\) [1057]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{3/2}}{\sqrt {2+5 x+3 x^2}} \, dx\) [1058]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {x}}{\sqrt {2+5 x+3 x^2}} \, dx\) [1059]
\(\int \genfrac {}{}{}{}{2-5 x}{\sqrt {x} \sqrt {2+5 x+3 x^2}} \, dx\) [1060]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{3/2} \sqrt {2+5 x+3 x^2}} \, dx\) [1061]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{5/2} \sqrt {2+5 x+3 x^2}} \, dx\) [1062]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{7/2} \sqrt {2+5 x+3 x^2}} \, dx\) [1063]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{7/2}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [1064]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{5/2}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [1065]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{3/2}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [1066]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {x}}{(2+5 x+3 x^2)^{3/2}} \, dx\) [1067]
\(\int \genfrac {}{}{}{}{2-5 x}{\sqrt {x} (2+5 x+3 x^2)^{3/2}} \, dx\) [1068]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{3/2} (2+5 x+3 x^2)^{3/2}} \, dx\) [1069]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{5/2} (2+5 x+3 x^2)^{3/2}} \, dx\) [1070]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{7/2} (2+5 x+3 x^2)^{3/2}} \, dx\) [1071]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{13/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1072]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{11/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1073]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{9/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1074]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{7/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1075]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{5/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1076]
\(\int \genfrac {}{}{}{}{(2-5 x) x^{3/2}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1077]
\(\int \genfrac {}{}{}{}{(2-5 x) \sqrt {x}}{(2+5 x+3 x^2)^{5/2}} \, dx\) [1078]
\(\int \genfrac {}{}{}{}{2-5 x}{\sqrt {x} (2+5 x+3 x^2)^{5/2}} \, dx\) [1079]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{3/2} (2+5 x+3 x^2)^{5/2}} \, dx\) [1080]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{5/2} (2+5 x+3 x^2)^{5/2}} \, dx\) [1081]
\(\int \genfrac {}{}{}{}{2-5 x}{x^{7/2} (2+5 x+3 x^2)^{5/2}} \, dx\) [1082]
\(\int (e x)^m (A+B x) (a+b x+c x^2)^3 \, dx\) [1083]
\(\int (e x)^m (A+B x) (a+b x+c x^2)^2 \, dx\) [1084]
\(\int (e x)^m (A+B x) (a+b x+c x^2) \, dx\) [1085]
\(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{a+b x+c x^2} \, dx\) [1086]
\(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+b x+c x^2)^2} \, dx\) [1087]
\(\int (e x)^m (A+B x) (a+b x+c x^2)^{5/2} \, dx\) [1088]
\(\int (e x)^m (A+B x) (a+b x+c x^2)^{3/2} \, dx\) [1089]
\(\int (e x)^m (A+B x) \sqrt {a+b x+c x^2} \, dx\) [1090]
\(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{\sqrt {a+b x+c x^2}} \, dx\) [1091]
\(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+b x+c x^2)^{3/2}} \, dx\) [1092]
\(\int \genfrac {}{}{}{}{(e x)^m (A+B x)}{(a+b x+c x^2)^{5/2}} \, dx\) [1093]
\(\int (e x)^m (A+B x) (a+b x+c x^2)^p \, dx\) [1094]
\(\int x^3 (A+B x) (a+b x+c x^2)^p \, dx\) [1095]
\(\int x^2 (A+B x) (a+b x+c x^2)^p \, dx\) [1096]
\(\int x (A+B x) (a+b x+c x^2)^p \, dx\) [1097]
\(\int (A+B x) (a+b x+c x^2)^p \, dx\) [1098]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^p}{x} \, dx\) [1099]
\(\int \genfrac {}{}{}{}{(A+B x) (a+b x+c x^2)^p}{x^2} \, dx\) [1100]
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