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Chapter 3
Listing of integrals
3.1
\(\int x^5 (a+b \tanh ^{-1}(c x)) \, dx\)
3.2
\(\int x^4 (a+b \tanh ^{-1}(c x)) \, dx\)
3.3
\(\int x^3 (a+b \tanh ^{-1}(c x)) \, dx\)
3.4
\(\int x^2 (a+b \tanh ^{-1}(c x)) \, dx\)
3.5
\(\int x (a+b \tanh ^{-1}(c x)) \, dx\)
3.6
\(\int (a+b \tanh ^{-1}(c x)) \, dx\)
3.7
\(\int \frac{a+b \tanh ^{-1}(c x)}{x} \, dx\)
3.8
\(\int \frac{a+b \tanh ^{-1}(c x)}{x^2} \, dx\)
3.9
\(\int \frac{a+b \tanh ^{-1}(c x)}{x^3} \, dx\)
3.10
\(\int \frac{a+b \tanh ^{-1}(c x)}{x^4} \, dx\)
3.11
\(\int \frac{a+b \tanh ^{-1}(c x)}{x^5} \, dx\)
3.12
\(\int \frac{a+b \tanh ^{-1}(c x)}{x^6} \, dx\)
3.13
\(\int x^5 (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.14
\(\int x^4 (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.15
\(\int x^3 (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.16
\(\int x^2 (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.17
\(\int x (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.18
\(\int (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.19
\(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x} \, dx\)
3.20
\(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^2} \, dx\)
3.21
\(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^3} \, dx\)
3.22
\(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^4} \, dx\)
3.23
\(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^5} \, dx\)
3.24
\(\int x^5 (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.25
\(\int x^4 (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.26
\(\int x^3 (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.27
\(\int x^2 (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.28
\(\int x (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.29
\(\int (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.30
\(\int \frac{(a+b \tanh ^{-1}(c x))^3}{x} \, dx\)
3.31
\(\int \frac{(a+b \tanh ^{-1}(c x))^3}{x^2} \, dx\)
3.32
\(\int \frac{(a+b \tanh ^{-1}(c x))^3}{x^3} \, dx\)
3.33
\(\int \frac{(a+b \tanh ^{-1}(c x))^3}{x^4} \, dx\)
3.34
\(\int \frac{(a+b \tanh ^{-1}(c x))^3}{x^5} \, dx\)
3.35
\(\int (d x)^{5/2} (a+b \tanh ^{-1}(c x)) \, dx\)
3.36
\(\int (d x)^{3/2} (a+b \tanh ^{-1}(c x)) \, dx\)
3.37
\(\int \sqrt{d x} (a+b \tanh ^{-1}(c x)) \, dx\)
3.38
\(\int \frac{a+b \tanh ^{-1}(c x)}{\sqrt{d x}} \, dx\)
3.39
\(\int \frac{a+b \tanh ^{-1}(c x)}{(d x)^{3/2}} \, dx\)
3.40
\(\int \frac{a+b \tanh ^{-1}(c x)}{(d x)^{5/2}} \, dx\)
3.41
\(\int \frac{a+b \tanh ^{-1}(c x)}{(d x)^{7/2}} \, dx\)
3.42
\(\int \frac{a+b \tanh ^{-1}(c x)}{(d x)^{9/2}} \, dx\)
3.43
\(\int (d x)^m (a+b \tanh ^{-1}(c x))^3 \, dx\)
3.44
\(\int (d x)^m (a+b \tanh ^{-1}(c x))^2 \, dx\)
3.45
\(\int (d x)^m (a+b \tanh ^{-1}(c x)) \, dx\)
3.46
\(\int \frac{(d x)^m}{a+b \tanh ^{-1}(c x)} \, dx\)
3.47
\(\int \frac{(d x)^m}{(a+b \tanh ^{-1}(c x))^2} \, dx\)
3.48
\(\int (a+b \tanh ^{-1}(c x))^p \, dx\)
3.49
\(\int (d x)^m (a+b \tanh ^{-1}(c x))^p \, dx\)
3.50
\(\int x^7 (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.51
\(\int x^5 (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.52
\(\int x^3 (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.53
\(\int x (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.54
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x} \, dx\)
3.55
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x^3} \, dx\)
3.56
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x^5} \, dx\)
3.57
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x^7} \, dx\)
3.58
\(\int x^4 (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.59
\(\int x^2 (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.60
\(\int (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.61
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x^2} \, dx\)
3.62
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x^4} \, dx\)
3.63
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{x^6} \, dx\)
3.64
\(\int x^7 (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.65
\(\int x^5 (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.66
\(\int x^3 (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.67
\(\int x (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.68
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{x} \, dx\)
3.69
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{x^3} \, dx\)
3.70
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{x^5} \, dx\)
3.71
\(\int x^4 (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.72
\(\int x^2 (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.73
\(\int (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.74
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{x^2} \, dx\)
3.75
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{x^4} \, dx\)
3.76
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{x^6} \, dx\)
3.77
\(\int x^3 (a+b \tanh ^{-1}(c x^2))^3 \, dx\)
3.78
\(\int x (a+b \tanh ^{-1}(c x^2))^3 \, dx\)
3.79
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^3}{x} \, dx\)
3.80
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^3}{x^3} \, dx\)
3.81
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^3}{x^5} \, dx\)
3.82
\(\int (d x)^{5/2} (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.83
\(\int (d x)^{3/2} (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.84
\(\int \sqrt{d x} (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.85
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{\sqrt{d x}} \, dx\)
3.86
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{(d x)^{3/2}} \, dx\)
3.87
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{(d x)^{5/2}} \, dx\)
3.88
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{(d x)^{7/2}} \, dx\)
3.89
\(\int \frac{a+b \tanh ^{-1}(c x^2)}{(d x)^{9/2}} \, dx\)
3.90
\(\int \sqrt{d x} (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.91
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{\sqrt{d x}} \, dx\)
3.92
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{(d x)^{3/2}} \, dx\)
3.93
\(\int \frac{(a+b \tanh ^{-1}(c x^2))^2}{(d x)^{5/2}} \, dx\)
3.94
\(\int (d x)^m (a+b \tanh ^{-1}(c x^2))^3 \, dx\)
3.95
\(\int (d x)^m (a+b \tanh ^{-1}(c x^2))^2 \, dx\)
3.96
\(\int (d x)^m (a+b \tanh ^{-1}(c x^2)) \, dx\)
3.97
\(\int \frac{(d x)^m}{a+b \tanh ^{-1}(c x^2)} \, dx\)
3.98
\(\int \frac{(d x)^m}{(a+b \tanh ^{-1}(c x^2))^2} \, dx\)
3.99
\(\int x^{11} (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.100
\(\int x^8 (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.101
\(\int x^5 (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.102
\(\int x^2 (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.103
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x} \, dx\)
3.104
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^4} \, dx\)
3.105
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^7} \, dx\)
3.106
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^{10}} \, dx\)
3.107
\(\int x^3 (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.108
\(\int (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.109
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^3} \, dx\)
3.110
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^6} \, dx\)
3.111
\(\int x^7 (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.112
\(\int x^4 (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.113
\(\int x (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.114
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^2} \, dx\)
3.115
\(\int \frac{a+b \tanh ^{-1}(c x^3)}{x^5} \, dx\)
3.116
\(\int x^{11} (a+b \tanh ^{-1}(c x^3))^2 \, dx\)
3.117
\(\int x^8 (a+b \tanh ^{-1}(c x^3))^2 \, dx\)
3.118
\(\int x^5 (a+b \tanh ^{-1}(c x^3))^2 \, dx\)
3.119
\(\int x^2 (a+b \tanh ^{-1}(c x^3))^2 \, dx\)
3.120
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^2}{x} \, dx\)
3.121
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^2}{x^4} \, dx\)
3.122
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^2}{x^7} \, dx\)
3.123
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^2}{x^{10}} \, dx\)
3.124
\(\int x^8 (a+b \tanh ^{-1}(c x^3))^3 \, dx\)
3.125
\(\int x^5 (a+b \tanh ^{-1}(c x^3))^3 \, dx\)
3.126
\(\int x^2 (a+b \tanh ^{-1}(c x^3))^3 \, dx\)
3.127
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^3}{x} \, dx\)
3.128
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^3}{x^4} \, dx\)
3.129
\(\int \frac{(a+b \tanh ^{-1}(c x^3))^3}{x^7} \, dx\)
3.130
\(\int (d x)^m (a+b \tanh ^{-1}(c x^3))^3 \, dx\)
3.131
\(\int (d x)^m (a+b \tanh ^{-1}(c x^3))^2 \, dx\)
3.132
\(\int (d x)^m (a+b \tanh ^{-1}(c x^3)) \, dx\)
3.133
\(\int \frac{(d x)^m}{a+b \tanh ^{-1}(c x^3)} \, dx\)
3.134
\(\int \frac{(d x)^m}{(a+b \tanh ^{-1}(c x^3))^2} \, dx\)
3.135
\(\int x^3 (a+b \tanh ^{-1}(\frac{c}{x})) \, dx\)
3.136
\(\int x^2 (a+b \tanh ^{-1}(\frac{c}{x})) \, dx\)
3.137
\(\int x (a+b \tanh ^{-1}(\frac{c}{x})) \, dx\)
3.138
\(\int (a+b \tanh ^{-1}(\frac{c}{x})) \, dx\)
3.139
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x})}{x} \, dx\)
3.140
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x})}{x^2} \, dx\)
3.141
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x})}{x^3} \, dx\)
3.142
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x})}{x^4} \, dx\)
3.143
\(\int x^3 (a+b \tanh ^{-1}(\frac{c}{x}))^2 \, dx\)
3.144
\(\int x^2 (a+b \tanh ^{-1}(\frac{c}{x}))^2 \, dx\)
3.145
\(\int x (a+b \tanh ^{-1}(\frac{c}{x}))^2 \, dx\)
3.146
\(\int (a+b \tanh ^{-1}(\frac{c}{x}))^2 \, dx\)
3.147
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x}))^2}{x} \, dx\)
3.148
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x}))^2}{x^2} \, dx\)
3.149
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x}))^2}{x^3} \, dx\)
3.150
\(\int x^3 (a+b \tanh ^{-1}(\frac{c}{x}))^3 \, dx\)
3.151
\(\int x^2 (a+b \tanh ^{-1}(\frac{c}{x}))^3 \, dx\)
3.152
\(\int x (a+b \tanh ^{-1}(\frac{c}{x}))^3 \, dx\)
3.153
\(\int (a+b \tanh ^{-1}(\frac{c}{x}))^3 \, dx\)
3.154
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x}))^3}{x} \, dx\)
3.155
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x}))^3}{x^2} \, dx\)
3.156
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x}))^3}{x^3} \, dx\)
3.157
\(\int x^7 (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.158
\(\int x^5 (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.159
\(\int x^3 (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.160
\(\int x (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.161
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x} \, dx\)
3.162
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x^3} \, dx\)
3.163
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x^5} \, dx\)
3.164
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x^7} \, dx\)
3.165
\(\int x^4 (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.166
\(\int x^2 (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.167
\(\int (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.168
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x^2} \, dx\)
3.169
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x^4} \, dx\)
3.170
\(\int \frac{a+b \tanh ^{-1}(\frac{c}{x^2})}{x^6} \, dx\)
3.171
\(\int x^3 (a+b \tanh ^{-1}(\frac{c}{x^2}))^2 \, dx\)
3.172
\(\int x (a+b \tanh ^{-1}(\frac{c}{x^2}))^2 \, dx\)
3.173
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2}{x} \, dx\)
3.174
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2}{x^3} \, dx\)
3.175
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2}{x^5} \, dx\)
3.176
\(\int x^4 (a+b \tanh ^{-1}(\frac{c}{x^2}))^2 \, dx\)
3.177
\(\int x^2 (a+b \tanh ^{-1}(\frac{c}{x^2}))^2 \, dx\)
3.178
\(\int (a+b \tanh ^{-1}(\frac{c}{x^2}))^2 \, dx\)
3.179
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2}{x^2} \, dx\)
3.180
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2}{x^4} \, dx\)
3.181
\(\int \frac{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2}{x^6} \, dx\)
3.182
\(\int (d x)^m (a+b \tanh ^{-1}(\frac{c}{x^2}))^3 \, dx\)
3.183
\(\int (d x)^m (a+b \tanh ^{-1}(\frac{c}{x^2}))^2 \, dx\)
3.184
\(\int (d x)^m (a+b \tanh ^{-1}(\frac{c}{x^2})) \, dx\)
3.185
\(\int \frac{(d x)^m}{a+b \tanh ^{-1}(\frac{c}{x^2})} \, dx\)
3.186
\(\int \frac{(d x)^m}{(a+b \tanh ^{-1}(\frac{c}{x^2}))^2} \, dx\)
3.187
\(\int x^3 (a+b \tanh ^{-1}(c \sqrt{x})) \, dx\)
3.188
\(\int x^2 (a+b \tanh ^{-1}(c \sqrt{x})) \, dx\)
3.189
\(\int x (a+b \tanh ^{-1}(c \sqrt{x})) \, dx\)
3.190
\(\int (a+b \tanh ^{-1}(c \sqrt{x})) \, dx\)
3.191
\(\int \frac{a+b \tanh ^{-1}(c \sqrt{x})}{x} \, dx\)
3.192
\(\int \frac{a+b \tanh ^{-1}(c \sqrt{x})}{x^2} \, dx\)
3.193
\(\int \frac{a+b \tanh ^{-1}(c \sqrt{x})}{x^3} \, dx\)
3.194
\(\int \frac{a+b \tanh ^{-1}(c \sqrt{x})}{x^4} \, dx\)
3.195
\(\int x^3 (a+b \tanh ^{-1}(c \sqrt{x}))^2 \, dx\)
3.196
\(\int x^2 (a+b \tanh ^{-1}(c \sqrt{x}))^2 \, dx\)
3.197
\(\int x (a+b \tanh ^{-1}(c \sqrt{x}))^2 \, dx\)
3.198
\(\int (a+b \tanh ^{-1}(c \sqrt{x}))^2 \, dx\)
3.199
\(\int \frac{(a+b \tanh ^{-1}(c \sqrt{x}))^2}{x} \, dx\)
3.200
\(\int \frac{(a+b \tanh ^{-1}(c \sqrt{x}))^2}{x^2} \, dx\)
3.201
\(\int \frac{(a+b \tanh ^{-1}(c \sqrt{x}))^2}{x^3} \, dx\)
3.202
\(\int x^3 (a+b \tanh ^{-1}(c \sqrt{x}))^3 \, dx\)
3.203
\(\int x^2 (a+b \tanh ^{-1}(c \sqrt{x}))^3 \, dx\)
3.204
\(\int x (a+b \tanh ^{-1}(c \sqrt{x}))^3 \, dx\)
3.205
\(\int (a+b \tanh ^{-1}(c \sqrt{x}))^3 \, dx\)
3.206
\(\int \frac{(a+b \tanh ^{-1}(c \sqrt{x}))^3}{x} \, dx\)
3.207
\(\int \frac{(a+b \tanh ^{-1}(c \sqrt{x}))^3}{x^2} \, dx\)
3.208
\(\int \frac{(a+b \tanh ^{-1}(c \sqrt{x}))^3}{x^3} \, dx\)
3.209
\(\int x^{3/2} \tanh ^{-1}(\sqrt{x}) \, dx\)
3.210
\(\int \sqrt{x} \tanh ^{-1}(\sqrt{x}) \, dx\)
3.211
\(\int \frac{\tanh ^{-1}(\sqrt{x})}{\sqrt{x}} \, dx\)
3.212
\(\int \frac{\tanh ^{-1}(\sqrt{x})}{x^{3/2}} \, dx\)
3.213
\(\int x^3 (a+b \tanh ^{-1}(c x^{3/2})) \, dx\)
3.214
\(\int x^2 (a+b \tanh ^{-1}(c x^{3/2})) \, dx\)
3.215
\(\int x (a+b \tanh ^{-1}(c x^{3/2})) \, dx\)
3.216
\(\int (a+b \tanh ^{-1}(c x^{3/2})) \, dx\)
3.217
\(\int \frac{a+b \tanh ^{-1}(c x^{3/2})}{x} \, dx\)
3.218
\(\int \frac{a+b \tanh ^{-1}(c x^{3/2})}{x^2} \, dx\)
3.219
\(\int \frac{a+b \tanh ^{-1}(c x^{3/2})}{x^3} \, dx\)
3.220
\(\int \frac{a+b \tanh ^{-1}(c x^{3/2})}{x^4} \, dx\)
3.221
\(\int x^2 (a+b \tanh ^{-1}(c x^{3/2}))^2 \, dx\)
3.222
\(\int \frac{(a+b \tanh ^{-1}(c x^{3/2}))^2}{x} \, dx\)
3.223
\(\int \frac{(a+b \tanh ^{-1}(c x^{3/2}))^2}{x^4} \, dx\)
3.224
\(\int x^2 (a+b \tanh ^{-1}(c x^n)) \, dx\)
3.225
\(\int x (a+b \tanh ^{-1}(c x^n)) \, dx\)
3.226
\(\int (a+b \tanh ^{-1}(c x^n)) \, dx\)
3.227
\(\int \frac{a+b \tanh ^{-1}(c x^n)}{x} \, dx\)
3.228
\(\int \frac{a+b \tanh ^{-1}(c x^n)}{x^2} \, dx\)
3.229
\(\int \frac{a+b \tanh ^{-1}(c x^n)}{x^3} \, dx\)
3.230
\(\int \frac{a+b \tanh ^{-1}(c x^n)}{x^4} \, dx\)
3.231
\(\int x (a+b \tanh ^{-1}(c x^n))^2 \, dx\)
3.232
\(\int (a+b \tanh ^{-1}(c x^n))^2 \, dx\)
3.233
\(\int \frac{(a+b \tanh ^{-1}(c x^n))^2}{x} \, dx\)
3.234
\(\int \frac{(a+b \tanh ^{-1}(c x^n))^2}{x^2} \, dx\)
3.235
\(\int \frac{(a+b \tanh ^{-1}(c x^n))^2}{x^3} \, dx\)
3.236
\(\int \frac{\tanh ^{-1}(a x^n)}{x} \, dx\)
3.237
\(\int \frac{\tanh ^{-1}(a x^5)}{x} \, dx\)
3.238
\(\int \tanh ^{-1}(\frac{1}{x}) \, dx\)
3.239
\(\int (d x)^m (a+b \tanh ^{-1}(c x^n))^3 \, dx\)
3.240
\(\int (d x)^m (a+b \tanh ^{-1}(c x^n))^2 \, dx\)
3.241
\(\int (d x)^m (a+b \tanh ^{-1}(c x^n)) \, dx\)
3.242
\(\int \frac{(d x)^m}{a+b \tanh ^{-1}(c x^n)} \, dx\)
3.243
\(\int \frac{(d x)^m}{(a+b \tanh ^{-1}(c x^n))^2} \, dx\)
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