3.11 Integrals 1001 to 1100

3.11.1 \(\int \genfrac {}{}{}{}{(a+b x)^3}{(\genfrac {}{}{}{}{a d}{b}+d x)^3} \, dx\) [1001]
3.11.2 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(\genfrac {}{}{}{}{a d}{b}+d x)^3} \, dx\) [1002]
3.11.3 \(\int \genfrac {}{}{}{}{a+b x}{(\genfrac {}{}{}{}{a d}{b}+d x)^3} \, dx\) [1003]
3.11.4 \(\int \genfrac {}{}{}{}{1}{(a+b x) (\genfrac {}{}{}{}{a d}{b}+d x)^3} \, dx\) [1004]
3.11.5 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (\genfrac {}{}{}{}{a d}{b}+d x)^3} \, dx\) [1005]
3.11.6 \(\int \genfrac {}{}{}{}{1}{(a+b x)^3 (\genfrac {}{}{}{}{a d}{b}+d x)^3} \, dx\) [1006]
3.11.7 \(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{b c}{d}+b x)^5}{(c+d x)^3} \, dx\) [1007]
3.11.8 \(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{b c}{d}+b x)^4}{(c+d x)^3} \, dx\) [1008]
3.11.9 \(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{b c}{d}+b x)^3}{(c+d x)^3} \, dx\) [1009]
3.11.10 \(\int \genfrac {}{}{}{}{(\genfrac {}{}{}{}{b c}{d}+b x)^2}{(c+d x)^3} \, dx\) [1010]
3.11.11 \(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{b c}{d}+b x}{(c+d x)^3} \, dx\) [1011]
3.11.12 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b c}{d}+b x) (c+d x)^3} \, dx\) [1012]
3.11.13 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b c}{d}+b x)^2 (c+d x)^3} \, dx\) [1013]
3.11.14 \(\int \genfrac {}{}{}{}{1}{(\genfrac {}{}{}{}{b c}{d}+b x)^3 (c+d x)^3} \, dx\) [1014]
3.11.15 \(\int (a+b x)^5 (a c+b c x)^n \, dx\) [1015]
3.11.16 \(\int (a+b x)^5 (a c+b c x)^3 \, dx\) [1016]
3.11.17 \(\int (a+b x)^5 (a c+b c x)^2 \, dx\) [1017]
3.11.18 \(\int (a+b x)^5 (a c+b c x) \, dx\) [1018]
3.11.19 \(\int \genfrac {}{}{}{}{(a+b x)^5}{a c+b c x} \, dx\) [1019]
3.11.20 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^2} \, dx\) [1020]
3.11.21 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^3} \, dx\) [1021]
3.11.22 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^4} \, dx\) [1022]
3.11.23 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^5} \, dx\) [1023]
3.11.24 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^6} \, dx\) [1024]
3.11.25 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^7} \, dx\) [1025]
3.11.26 \(\int \genfrac {}{}{}{}{(a+b x)^5}{(a c+b c x)^8} \, dx\) [1026]
3.11.27 \(\int \genfrac {}{}{}{}{1}{\sqrt {-2-3 x} \sqrt {2+3 x}} \, dx\) [1027]
3.11.28 \(\int (a+b x) (a c-b c x)^3 \, dx\) [1028]
3.11.29 \(\int (a+b x) (a c-b c x)^2 \, dx\) [1029]
3.11.30 \(\int (a+b x) (a c-b c x) \, dx\) [1030]
3.11.31 \(\int (a+b x) \, dx\) [1031]
3.11.32 \(\int \genfrac {}{}{}{}{a+b x}{a c-b c x} \, dx\) [1032]
3.11.33 \(\int \genfrac {}{}{}{}{a+b x}{(a c-b c x)^2} \, dx\) [1033]
3.11.34 \(\int \genfrac {}{}{}{}{a+b x}{(a c-b c x)^3} \, dx\) [1034]
3.11.35 \(\int \genfrac {}{}{}{}{a+b x}{(a c-b c x)^4} \, dx\) [1035]
3.11.36 \(\int \genfrac {}{}{}{}{a+b x}{(a c-b c x)^5} \, dx\) [1036]
3.11.37 \(\int \genfrac {}{}{}{}{a+b x}{(a c-b c x)^6} \, dx\) [1037]
3.11.38 \(\int (a+b x)^2 (a c-b c x)^3 \, dx\) [1038]
3.11.39 \(\int (a+b x)^2 (a c-b c x)^2 \, dx\) [1039]
3.11.40 \(\int (a+b x)^2 (a c-b c x) \, dx\) [1040]
3.11.41 \(\int (a+b x)^2 \, dx\) [1041]
3.11.42 \(\int \genfrac {}{}{}{}{(a+b x)^2}{a c-b c x} \, dx\) [1042]
3.11.43 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(a c-b c x)^2} \, dx\) [1043]
3.11.44 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(a c-b c x)^3} \, dx\) [1044]
3.11.45 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(a c-b c x)^4} \, dx\) [1045]
3.11.46 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(a c-b c x)^5} \, dx\) [1046]
3.11.47 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(a c-b c x)^6} \, dx\) [1047]
3.11.48 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(a c-b c x)^7} \, dx\) [1048]
3.11.49 \(\int \genfrac {}{}{}{}{(a c-b c x)^3}{a+b x} \, dx\) [1049]
3.11.50 \(\int \genfrac {}{}{}{}{(a c-b c x)^2}{a+b x} \, dx\) [1050]
3.11.51 \(\int \genfrac {}{}{}{}{a c-b c x}{a+b x} \, dx\) [1051]
3.11.52 \(\int \genfrac {}{}{}{}{1}{a+b x} \, dx\) [1052]
3.11.53 \(\int \genfrac {}{}{}{}{1}{(a+b x) (a c-b c x)} \, dx\) [1053]
3.11.54 \(\int \genfrac {}{}{}{}{1}{(a+b x) (a c-b c x)^2} \, dx\) [1054]
3.11.55 \(\int \genfrac {}{}{}{}{1}{(a+b x) (a c-b c x)^3} \, dx\) [1055]
3.11.56 \(\int \genfrac {}{}{}{}{(a c-b c x)^3}{(a+b x)^2} \, dx\) [1056]
3.11.57 \(\int \genfrac {}{}{}{}{(a c-b c x)^2}{(a+b x)^2} \, dx\) [1057]
3.11.58 \(\int \genfrac {}{}{}{}{a c-b c x}{(a+b x)^2} \, dx\) [1058]
3.11.59 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2} \, dx\) [1059]
3.11.60 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (a c-b c x)} \, dx\) [1060]
3.11.61 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (a c-b c x)^2} \, dx\) [1061]
3.11.62 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 (a c-b c x)^3} \, dx\) [1062]
3.11.63 \(\int (1-x)^{9/2} \sqrt {1+x} \, dx\) [1063]
3.11.64 \(\int (1-x)^{7/2} \sqrt {1+x} \, dx\) [1064]
3.11.65 \(\int (1-x)^{5/2} \sqrt {1+x} \, dx\) [1065]
3.11.66 \(\int (1-x)^{3/2} \sqrt {1+x} \, dx\) [1066]
3.11.67 \(\int \sqrt {1-x} \sqrt {1+x} \, dx\) [1067]
3.11.68 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{\sqrt {1-x}} \, dx\) [1068]
3.11.69 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{(1-x)^{3/2}} \, dx\) [1069]
3.11.70 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{(1-x)^{5/2}} \, dx\) [1070]
3.11.71 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{(1-x)^{7/2}} \, dx\) [1071]
3.11.72 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{(1-x)^{9/2}} \, dx\) [1072]
3.11.73 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{(1-x)^{11/2}} \, dx\) [1073]
3.11.74 \(\int \genfrac {}{}{}{}{\sqrt {1+x}}{(1-x)^{13/2}} \, dx\) [1074]
3.11.75 \(\int (1-x)^{9/2} (1+x)^{3/2} \, dx\) [1075]
3.11.76 \(\int (1-x)^{7/2} (1+x)^{3/2} \, dx\) [1076]
3.11.77 \(\int (1-x)^{5/2} (1+x)^{3/2} \, dx\) [1077]
3.11.78 \(\int (1-x)^{3/2} (1+x)^{3/2} \, dx\) [1078]
3.11.79 \(\int \sqrt {1-x} (1+x)^{3/2} \, dx\) [1079]
3.11.80 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{\sqrt {1-x}} \, dx\) [1080]
3.11.81 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{3/2}} \, dx\) [1081]
3.11.82 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{5/2}} \, dx\) [1082]
3.11.83 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{7/2}} \, dx\) [1083]
3.11.84 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{9/2}} \, dx\) [1084]
3.11.85 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{11/2}} \, dx\) [1085]
3.11.86 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{13/2}} \, dx\) [1086]
3.11.87 \(\int \genfrac {}{}{}{}{(1+x)^{3/2}}{(1-x)^{15/2}} \, dx\) [1087]
3.11.88 \(\int (1-x)^{11/2} (1+x)^{5/2} \, dx\) [1088]
3.11.89 \(\int (1-x)^{9/2} (1+x)^{5/2} \, dx\) [1089]
3.11.90 \(\int (1-x)^{7/2} (1+x)^{5/2} \, dx\) [1090]
3.11.91 \(\int (1-x)^{5/2} (1+x)^{5/2} \, dx\) [1091]
3.11.92 \(\int (1-x)^{3/2} (1+x)^{5/2} \, dx\) [1092]
3.11.93 \(\int \sqrt {1-x} (1+x)^{5/2} \, dx\) [1093]
3.11.94 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{\sqrt {1-x}} \, dx\) [1094]
3.11.95 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{3/2}} \, dx\) [1095]
3.11.96 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{5/2}} \, dx\) [1096]
3.11.97 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{7/2}} \, dx\) [1097]
3.11.98 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{9/2}} \, dx\) [1098]
3.11.99 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{11/2}} \, dx\) [1099]
3.11.100 \(\int \genfrac {}{}{}{}{(1+x)^{5/2}}{(1-x)^{13/2}} \, dx\) [1100]