3.11 Integrals 1001 to 1071

3.11.1 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{c x} \sqrt [4]{a+b x^2}} \, dx\) [1001]
3.11.2 \(\int \genfrac {}{}{}{}{1}{(c x)^{3/4} \sqrt [4]{a+b x^2}} \, dx\) [1002]
3.11.3 \(\int \genfrac {}{}{}{}{1}{(c x)^{5/4} \sqrt [4]{a+b x^2}} \, dx\) [1003]
3.11.4 \(\int \genfrac {}{}{}{}{(c x)^{5/4}}{(a+b x^2)^{7/4}} \, dx\) [1004]
3.11.5 \(\int \genfrac {}{}{}{}{(c x)^{3/4}}{(a+b x^2)^{7/4}} \, dx\) [1005]
3.11.6 \(\int \genfrac {}{}{}{}{\sqrt [4]{c x}}{(a+b x^2)^{7/4}} \, dx\) [1006]
3.11.7 \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{c x} (a+b x^2)^{7/4}} \, dx\) [1007]
3.11.8 \(\int \genfrac {}{}{}{}{1}{(c x)^{3/4} (a+b x^2)^{7/4}} \, dx\) [1008]
3.11.9 \(\int \genfrac {}{}{}{}{1}{(c x)^{5/4} (a+b x^2)^{7/4}} \, dx\) [1009]
3.11.10 \(\int x^6 \sqrt [6]{a+b x^2} \, dx\) [1010]
3.11.11 \(\int x^4 \sqrt [6]{a+b x^2} \, dx\) [1011]
3.11.12 \(\int x^2 \sqrt [6]{a+b x^2} \, dx\) [1012]
3.11.13 \(\int \sqrt [6]{a+b x^2} \, dx\) [1013]
3.11.14 \(\int \genfrac {}{}{}{}{\sqrt [6]{a+b x^2}}{x^2} \, dx\) [1014]
3.11.15 \(\int \genfrac {}{}{}{}{\sqrt [6]{a+b x^2}}{x^4} \, dx\) [1015]
3.11.16 \(\int \genfrac {}{}{}{}{\sqrt [6]{a+b x^2}}{x^6} \, dx\) [1016]
3.11.17 \(\int \genfrac {}{}{}{}{\sqrt [6]{a+b x^2}}{x^8} \, dx\) [1017]
3.11.18 \(\int \genfrac {}{}{}{}{x^6}{\sqrt [6]{a+b x^2}} \, dx\) [1018]
3.11.19 \(\int \genfrac {}{}{}{}{x^4}{\sqrt [6]{a+b x^2}} \, dx\) [1019]
3.11.20 \(\int \genfrac {}{}{}{}{x^2}{\sqrt [6]{a+b x^2}} \, dx\) [1020]
3.11.21 \(\int \genfrac {}{}{}{}{1}{\sqrt [6]{a+b x^2}} \, dx\) [1021]
3.11.22 \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [6]{a+b x^2}} \, dx\) [1022]
3.11.23 \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [6]{a+b x^2}} \, dx\) [1023]
3.11.24 \(\int \genfrac {}{}{}{}{1}{x^6 \sqrt [6]{a+b x^2}} \, dx\) [1024]
3.11.25 \(\int \genfrac {}{}{}{}{x^6}{(a+b x^2)^{5/6}} \, dx\) [1025]
3.11.26 \(\int \genfrac {}{}{}{}{x^4}{(a+b x^2)^{5/6}} \, dx\) [1026]
3.11.27 \(\int \genfrac {}{}{}{}{x^2}{(a+b x^2)^{5/6}} \, dx\) [1027]
3.11.28 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{5/6}} \, dx\) [1028]
3.11.29 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^2)^{5/6}} \, dx\) [1029]
3.11.30 \(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^2)^{5/6}} \, dx\) [1030]
3.11.31 \(\int \genfrac {}{}{}{}{1}{x^6 (a+b x^2)^{5/6}} \, dx\) [1031]
3.11.32 \(\int \genfrac {}{}{}{}{x^6}{(a+b x^2)^{7/6}} \, dx\) [1032]
3.11.33 \(\int \genfrac {}{}{}{}{x^4}{(a+b x^2)^{7/6}} \, dx\) [1033]
3.11.34 \(\int \genfrac {}{}{}{}{x^2}{(a+b x^2)^{7/6}} \, dx\) [1034]
3.11.35 \(\int \genfrac {}{}{}{}{1}{(a+b x^2)^{7/6}} \, dx\) [1035]
3.11.36 \(\int \genfrac {}{}{}{}{1}{x^2 (a+b x^2)^{7/6}} \, dx\) [1036]
3.11.37 \(\int \genfrac {}{}{}{}{1}{x^4 (a+b x^2)^{7/6}} \, dx\) [1037]
3.11.38 \(\int \genfrac {}{}{}{}{1}{x^6 (a+b x^2)^{7/6}} \, dx\) [1038]
3.11.39 \(\int x^7 (a+b x^2)^p \, dx\) [1039]
3.11.40 \(\int x^5 (a+b x^2)^p \, dx\) [1040]
3.11.41 \(\int x^3 (a+b x^2)^p \, dx\) [1041]
3.11.42 \(\int x (a+b x^2)^p \, dx\) [1042]
3.11.43 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{x} \, dx\) [1043]
3.11.44 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{x^3} \, dx\) [1044]
3.11.45 \(\int x^6 (a+b x^2)^p \, dx\) [1045]
3.11.46 \(\int x^4 (a+b x^2)^p \, dx\) [1046]
3.11.47 \(\int x^2 (a+b x^2)^p \, dx\) [1047]
3.11.48 \(\int (a+b x^2)^p \, dx\) [1048]
3.11.49 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{x^2} \, dx\) [1049]
3.11.50 \(\int x^{7/2} (a+b x^2)^p \, dx\) [1050]
3.11.51 \(\int x^{5/2} (a+b x^2)^p \, dx\) [1051]
3.11.52 \(\int x^{3/2} (a+b x^2)^p \, dx\) [1052]
3.11.53 \(\int \sqrt {x} (a+b x^2)^p \, dx\) [1053]
3.11.54 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{\sqrt {x}} \, dx\) [1054]
3.11.55 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{x^{3/2}} \, dx\) [1055]
3.11.56 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{x^{5/2}} \, dx\) [1056]
3.11.57 \(\int \genfrac {}{}{}{}{(a+b x^2)^p}{x^{7/2}} \, dx\) [1057]
3.11.58 \(\int x^m (a+b x^2)^p \, dx\) [1058]
3.11.59 \(\int (c x)^m (a+b x^2)^p \, dx\) [1059]
3.11.60 \(\int x^{-8-2 p} (a+b x^2)^p \, dx\) [1060]
3.11.61 \(\int x^{-7-2 p} (a+b x^2)^p \, dx\) [1061]
3.11.62 \(\int x^{-6-2 p} (a+b x^2)^p \, dx\) [1062]
3.11.63 \(\int x^{-5-2 p} (a+b x^2)^p \, dx\) [1063]
3.11.64 \(\int x^{-4-2 p} (a+b x^2)^p \, dx\) [1064]
3.11.65 \(\int x^{-3-2 p} (a+b x^2)^p \, dx\) [1065]
3.11.66 \(\int x^{-2-2 p} (a+b x^2)^p \, dx\) [1066]
3.11.67 \(\int x^{-1-2 p} (a+b x^2)^p \, dx\) [1067]
3.11.68 \(\int x^{-2 p} (a+b x^2)^p \, dx\) [1068]
3.11.69 \(\int x^{1-2 p} (a+b x^2)^p \, dx\) [1069]
3.11.70 \(\int x^{2-2 p} (a+b x^2)^p \, dx\) [1070]
3.11.71 \(\int x^{3-2 p} (a+b x^2)^p \, dx\) [1071]