[
next
] [
prev
] [
prev-tail
] [
tail
] [
up
]
3.11
Integrals 1001 to 1100
3.11.1
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^m}{\sqrt {c-a^2 c x^2}} \, dx\) [1001]
3.11.2
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^{3/2}} \, dx\) [1002]
3.11.3
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} x^m}{(c-a^2 c x^2)^{5/2}} \, dx\) [1003]
3.11.4
\(\int e^{\text {arctanh}(a x)} x^m (c-a^2 c x^2)^p \, dx\) [1004]
3.11.5
\(\int e^{\text {arctanh}(a x)} x^3 (1-a^2 x^2)^p \, dx\) [1005]
3.11.6
\(\int e^{\text {arctanh}(a x)} x^2 (1-a^2 x^2)^p \, dx\) [1006]
3.11.7
\(\int e^{\text {arctanh}(a x)} x (1-a^2 x^2)^p \, dx\) [1007]
3.11.8
\(\int e^{\text {arctanh}(a x)} (1-a^2 x^2)^p \, dx\) [1008]
3.11.9
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} (1-a^2 x^2)^p}{x} \, dx\) [1009]
3.11.10
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} (1-a^2 x^2)^p}{x^2} \, dx\) [1010]
3.11.11
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} (1-a^2 x^2)^p}{x^3} \, dx\) [1011]
3.11.12
\(\int e^{\text {arctanh}(a x)} x^3 (c-a^2 c x^2)^p \, dx\) [1012]
3.11.13
\(\int e^{\text {arctanh}(a x)} x^2 (c-a^2 c x^2)^p \, dx\) [1013]
3.11.14
\(\int e^{\text {arctanh}(a x)} x (c-a^2 c x^2)^p \, dx\) [1014]
3.11.15
\(\int e^{\text {arctanh}(a x)} (c-a^2 c x^2)^p \, dx\) [1015]
3.11.16
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} (c-a^2 c x^2)^p}{x} \, dx\) [1016]
3.11.17
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\) [1017]
3.11.18
\(\int \genfrac {}{}{}{}{e^{\text {arctanh}(a x)} (c-a^2 c x^2)^p}{x^3} \, dx\) [1018]
3.11.19
\(\int e^{2 \text {arctanh}(a x)} x^4 (c-a^2 c x^2) \, dx\) [1019]
3.11.20
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2) \, dx\) [1020]
3.11.21
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2) \, dx\) [1021]
3.11.22
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2) \, dx\) [1022]
3.11.23
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2) \, dx\) [1023]
3.11.24
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)}{x} \, dx\) [1024]
3.11.25
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^2} \, dx\) [1025]
3.11.26
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^3} \, dx\) [1026]
3.11.27
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)}{x^4} \, dx\) [1027]
3.11.28
\(\int e^{2 \text {arctanh}(a x)} x^4 (c-a^2 c x^2)^2 \, dx\) [1028]
3.11.29
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^2 \, dx\) [1029]
3.11.30
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^2 \, dx\) [1030]
3.11.31
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2)^2 \, dx\) [1031]
3.11.32
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2 \, dx\) [1032]
3.11.33
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2}{x} \, dx\) [1033]
3.11.34
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2}{x^2} \, dx\) [1034]
3.11.35
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2}{x^3} \, dx\) [1035]
3.11.36
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2}{x^4} \, dx\) [1036]
3.11.37
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2}{x^5} \, dx\) [1037]
3.11.38
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^2}{x^6} \, dx\) [1038]
3.11.39
\(\int e^{2 \text {arctanh}(a x)} x^4 (c-a^2 c x^2)^3 \, dx\) [1039]
3.11.40
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^3 \, dx\) [1040]
3.11.41
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^3 \, dx\) [1041]
3.11.42
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2)^3 \, dx\) [1042]
3.11.43
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^3 \, dx\) [1043]
3.11.44
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^3}{x} \, dx\) [1044]
3.11.45
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^3}{x^2} \, dx\) [1045]
3.11.46
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^3}{x^3} \, dx\) [1046]
3.11.47
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^3}{x^4} \, dx\) [1047]
3.11.48
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^4 \, dx\) [1048]
3.11.49
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^4}{c-a^2 c x^2} \, dx\) [1049]
3.11.50
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^3}{c-a^2 c x^2} \, dx\) [1050]
3.11.51
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{c-a^2 c x^2} \, dx\) [1051]
3.11.52
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x}{c-a^2 c x^2} \, dx\) [1052]
3.11.53
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{c-a^2 c x^2} \, dx\) [1053]
3.11.54
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x (c-a^2 c x^2)} \, dx\) [1054]
3.11.55
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\) [1055]
3.11.56
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)} \, dx\) [1056]
3.11.57
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^4 (c-a^2 c x^2)} \, dx\) [1057]
3.11.58
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\) [1058]
3.11.59
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\) [1059]
3.11.60
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\) [1060]
3.11.61
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x}{(c-a^2 c x^2)^2} \, dx\) [1061]
3.11.62
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^2} \, dx\) [1062]
3.11.63
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x (c-a^2 c x^2)^2} \, dx\) [1063]
3.11.64
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\) [1064]
3.11.65
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^2} \, dx\) [1065]
3.11.66
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^4 (c-a^2 c x^2)^2} \, dx\) [1066]
3.11.67
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^5}{(c-a^2 c x^2)^3} \, dx\) [1067]
3.11.68
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^4}{(c-a^2 c x^2)^3} \, dx\) [1068]
3.11.69
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^3}{(c-a^2 c x^2)^3} \, dx\) [1069]
3.11.70
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\) [1070]
3.11.71
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} x}{(c-a^2 c x^2)^3} \, dx\) [1071]
3.11.72
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^3} \, dx\) [1072]
3.11.73
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x (c-a^2 c x^2)^3} \, dx\) [1073]
3.11.74
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^2 (c-a^2 c x^2)^3} \, dx\) [1074]
3.11.75
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{x^3 (c-a^2 c x^2)^3} \, dx\) [1075]
3.11.76
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)}}{(c-a^2 c x^2)^4} \, dx\) [1076]
3.11.77
\(\int e^{2 \text {arctanh}(a x)} x^3 \sqrt {c-a^2 c x^2} \, dx\) [1077]
3.11.78
\(\int e^{2 \text {arctanh}(a x)} x^2 \sqrt {c-a^2 c x^2} \, dx\) [1078]
3.11.79
\(\int e^{2 \text {arctanh}(a x)} x \sqrt {c-a^2 c x^2} \, dx\) [1079]
3.11.80
\(\int e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2} \, dx\) [1080]
3.11.81
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x} \, dx\) [1081]
3.11.82
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^2} \, dx\) [1082]
3.11.83
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^3} \, dx\) [1083]
3.11.84
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^4} \, dx\) [1084]
3.11.85
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} \sqrt {c-a^2 c x^2}}{x^5} \, dx\) [1085]
3.11.86
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^{3/2} \, dx\) [1086]
3.11.87
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{3/2} \, dx\) [1087]
3.11.88
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2)^{3/2} \, dx\) [1088]
3.11.89
\(\int e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2} \, dx\) [1089]
3.11.90
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x} \, dx\) [1090]
3.11.91
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^2} \, dx\) [1091]
3.11.92
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^3} \, dx\) [1092]
3.11.93
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^4} \, dx\) [1093]
3.11.94
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^5} \, dx\) [1094]
3.11.95
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^6} \, dx\) [1095]
3.11.96
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^7} \, dx\) [1096]
3.11.97
\(\int \genfrac {}{}{}{}{e^{2 \text {arctanh}(a x)} (c-a^2 c x^2)^{3/2}}{x^8} \, dx\) [1097]
3.11.98
\(\int e^{2 \text {arctanh}(a x)} x^3 (c-a^2 c x^2)^{5/2} \, dx\) [1098]
3.11.99
\(\int e^{2 \text {arctanh}(a x)} x^2 (c-a^2 c x^2)^{5/2} \, dx\) [1099]
3.11.100
\(\int e^{2 \text {arctanh}(a x)} x (c-a^2 c x^2)^{5/2} \, dx\) [1100]
[
next
] [
prev
] [
prev-tail
] [
front
] [
up
]