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Chapter 3
Listing of integrals
3.1
\(\int \log ^4(c (d+e x)) \, dx\)
3.2
\(\int \log ^3(c (d+e x)) \, dx\)
3.3
\(\int \log ^2(c (d+e x)) \, dx\)
3.4
\(\int \log (c (d+e x)) \, dx\)
3.5
\(\int \frac {1}{\log (c (d+e x))} \, dx\)
3.6
\(\int \frac {1}{\log ^2(c (d+e x))} \, dx\)
3.7
\(\int \frac {1}{\log ^3(c (d+e x))} \, dx\)
3.8
\(\int \frac {1}{\log ^4(c (d+e x))} \, dx\)
3.9
\(\int \log ^{\frac {5}{2}}(c (d+e x)) \, dx\)
3.10
\(\int \log ^{\frac {3}{2}}(c (d+e x)) \, dx\)
3.11
\(\int \sqrt {\log (c (d+e x))} \, dx\)
3.12
\(\int \frac {1}{\sqrt {\log (c (d+e x))}} \, dx\)
3.13
\(\int \frac {1}{\log ^{\frac {3}{2}}(c (d+e x))} \, dx\)
3.14
\(\int \frac {1}{\log ^{\frac {5}{2}}(c (d+e x))} \, dx\)
3.15
\(\int \frac {1}{\log ^{\frac {7}{2}}(c (d+e x))} \, dx\)
3.16
\(\int \log ^p(c (d+e x)) \, dx\)
3.17
\(\int (a+b \log (c (d+e x)^n))^4 \, dx\)
3.18
\(\int (a+b \log (c (d+e x)^n))^3 \, dx\)
3.19
\(\int (a+b \log (c (d+e x)^n))^2 \, dx\)
3.20
\(\int (a+b \log (c (d+e x)^n)) \, dx\)
3.21
\(\int \frac {1}{a+b \log (c (d+e x)^n)} \, dx\)
3.22
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.23
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^3} \, dx\)
3.24
\(\int (a+b \log (c (d+e x)^n))^{5/2} \, dx\)
3.25
\(\int (a+b \log (c (d+e x)^n))^{3/2} \, dx\)
3.26
\(\int \sqrt {a+b \log (c (d+e x)^n)} \, dx\)
3.27
\(\int \frac {1}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.28
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.29
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^{5/2}} \, dx\)
3.30
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^{7/2}} \, dx\)
3.31
\(\int (a+b \log (c (d+e x)^n))^p \, dx\)
3.32
\(\int (a+b \log (c \sqrt {d+e x}))^p \, dx\)
3.33
\(\int \frac {(e+f x)^{-1+p}}{\log (d (e+f x)^p)} \, dx\)
3.34
\(\int \frac {(e g+f g x)^{-1+p}}{\log (d (e+f x)^p)} \, dx\)
3.35
\(\int (f+g x)^4 (a+b \log (c (d+e x)^n)) \, dx\)
3.36
\(\int (f+g x)^3 (a+b \log (c (d+e x)^n)) \, dx\)
3.37
\(\int (f+g x)^2 (a+b \log (c (d+e x)^n)) \, dx\)
3.38
\(\int (f+g x) (a+b \log (c (d+e x)^n)) \, dx\)
3.39
\(\int (a+b \log (c (d+e x)^n)) \, dx\)
3.40
\(\int \frac {a+b \log (c (d+e x)^n)}{f+g x} \, dx\)
3.41
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^2} \, dx\)
3.42
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^3} \, dx\)
3.43
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^4} \, dx\)
3.44
\(\int (f+g x)^3 (a+b \log (c (d+e x)^n))^2 \, dx\)
3.45
\(\int (f+g x)^2 (a+b \log (c (d+e x)^n))^2 \, dx\)
3.46
\(\int (f+g x) (a+b \log (c (d+e x)^n))^2 \, dx\)
3.47
\(\int (a+b \log (c (d+e x)^n))^2 \, dx\)
3.48
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\)
3.49
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^2} \, dx\)
3.50
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^3} \, dx\)
3.51
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^4} \, dx\)
3.52
\(\int (f+g x)^3 (a+b \log (c (d+e x)^n))^3 \, dx\)
3.53
\(\int (f+g x)^2 (a+b \log (c (d+e x)^n))^3 \, dx\)
3.54
\(\int (f+g x) (a+b \log (c (d+e x)^n))^3 \, dx\)
3.55
\(\int (a+b \log (c (d+e x)^n))^3 \, dx\)
3.56
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\)
3.57
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{(f+g x)^2} \, dx\)
3.58
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{(f+g x)^3} \, dx\)
3.59
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{(f+g x)^4} \, dx\)
3.60
\(\int (f+g x) (a+b \log (c (d+e x)^n))^4 \, dx\)
3.61
\(\int (a+b \log (c (d+e x)^n))^4 \, dx\)
3.62
\(\int \frac {(a+b \log (c (d+e x)^n))^4}{f+g x} \, dx\)
3.63
\(\int \frac {(a+b \log (c (d+e x)^n))^4}{(f+g x)^2} \, dx\)
3.64
\(\int \log (a+b x) \, dx\)
3.65
\(\int \log ^2(a+b x) \, dx\)
3.66
\(\int \log ^3(a+b x) \, dx\)
3.67
\(\int \log (a+b x+c x) \, dx\)
3.68
\(\int \log ^2(a+b x+c x) \, dx\)
3.69
\(\int \log ^3(a+b x+c x) \, dx\)
3.70
\(\int \log (c (d+e x)^n) \, dx\)
3.71
\(\int \frac {\log (-\frac {g (d+e x)}{e f-d g})}{f+g x} \, dx\)
3.72
\(\int \frac {a+b \log (c (\frac {1}{c}+e x))}{x} \, dx\)
3.73
\(\int \frac {\log (3+e x)}{x} \, dx\)
3.74
\(\int \frac {\log (2+e x)}{x} \, dx\)
3.75
\(\int \frac {\log (1+e x)}{x} \, dx\)
3.76
\(\int \frac {\log (e x)}{x} \, dx\)
3.77
\(\int \frac {\log (-1+e x)}{x} \, dx\)
3.78
\(\int \frac {\log (-2+e x)}{x} \, dx\)
3.79
\(\int \frac {a+b \log (3+e x)}{x} \, dx\)
3.80
\(\int \frac {a+b \log (2+e x)}{x} \, dx\)
3.81
\(\int \frac {a+b \log (1+e x)}{x} \, dx\)
3.82
\(\int \frac {a+b \log (e x)}{x} \, dx\)
3.83
\(\int \frac {a+b \log (-1+e x)}{x} \, dx\)
3.84
\(\int \frac {a+b \log (-2+e x)}{x} \, dx\)
3.85
\(\int x^2 \log ^2(c (a+b x)^n) \, dx\)
3.86
\(\int \frac {\log ^2(c (a+b x)^n)}{x^4} \, dx\)
3.87
\(\int x^2 \log ^3(c (a+b x)^n) \, dx\)
3.88
\(\int \frac {(f+g x)^3}{a+b \log (c (d+e x)^n)} \, dx\)
3.89
\(\int \frac {(f+g x)^2}{a+b \log (c (d+e x)^n)} \, dx\)
3.90
\(\int \frac {f+g x}{a+b \log (c (d+e x)^n)} \, dx\)
3.91
\(\int \frac {1}{a+b \log (c (d+e x)^n)} \, dx\)
3.92
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))} \, dx\)
3.93
\(\int \frac {1}{(f+g x)^2 (a+b \log (c (d+e x)^n))} \, dx\)
3.94
\(\int \frac {(f+g x)^3}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.95
\(\int \frac {(f+g x)^2}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.96
\(\int \frac {f+g x}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.97
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.98
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))^2} \, dx\)
3.99
\(\int \frac {1}{(f+g x)^2 (a+b \log (c (d+e x)^n))^2} \, dx\)
3.100
\(\int \frac {(f+g x)^2}{(a+b \log (c (d+e x)^n))^3} \, dx\)
3.101
\(\int \frac {f+g x}{(a+b \log (c (d+e x)^n))^3} \, dx\)
3.102
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^3} \, dx\)
3.103
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))^3} \, dx\)
3.104
\(\int \frac {1}{(f+g x)^2 (a+b \log (c (d+e x)^n))^3} \, dx\)
3.105
\(\int (f+g x)^2 \sqrt {a+b \log (c (d+e x)^n)} \, dx\)
3.106
\(\int (f+g x) \sqrt {a+b \log (c (d+e x)^n)} \, dx\)
3.107
\(\int \sqrt {a+b \log (c (d+e x)^n)} \, dx\)
3.108
\(\int \frac {\sqrt {a+b \log (c (d+e x)^n)}}{f+g x} \, dx\)
3.109
\(\int \frac {\sqrt {a+b \log (c (d+e x)^n)}}{(f+g x)^2} \, dx\)
3.110
\(\int \frac {\sqrt {a+b \log (c (d+e x)^n)}}{(f+g x)^3} \, dx\)
3.111
\(\int (f+g x)^2 (a+b \log (c (d+e x)^n))^{3/2} \, dx\)
3.112
\(\int (f+g x) (a+b \log (c (d+e x)^n))^{3/2} \, dx\)
3.113
\(\int (a+b \log (c (d+e x)^n))^{3/2} \, dx\)
3.114
\(\int \frac {(a+b \log (c (d+e x)^n))^{3/2}}{f+g x} \, dx\)
3.115
\(\int \frac {(a+b \log (c (d+e x)^n))^{3/2}}{(f+g x)^2} \, dx\)
3.116
\(\int \frac {(a+b \log (c (d+e x)^n))^{3/2}}{(f+g x)^3} \, dx\)
3.117
\(\int (f+g x)^2 (a+b \log (c (d+e x)^n))^{5/2} \, dx\)
3.118
\(\int (f+g x) (a+b \log (c (d+e x)^n))^{5/2} \, dx\)
3.119
\(\int (a+b \log (c (d+e x)^n))^{5/2} \, dx\)
3.120
\(\int \frac {(a+b \log (c (d+e x)^n))^{5/2}}{f+g x} \, dx\)
3.121
\(\int \frac {(a+b \log (c (d+e x)^n))^{5/2}}{(f+g x)^2} \, dx\)
3.122
\(\int \frac {(a+b \log (c (d+e x)^n))^{5/2}}{(f+g x)^3} \, dx\)
3.123
\(\int \frac {(f+g x)^3}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.124
\(\int \frac {(f+g x)^2}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.125
\(\int \frac {f+g x}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.126
\(\int \frac {1}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.127
\(\int \frac {1}{(f+g x) \sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.128
\(\int \frac {(f+g x)^3}{(a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.129
\(\int \frac {(f+g x)^2}{(a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.130
\(\int \frac {f+g x}{(a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.131
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.132
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.133
\(\int \frac {(f+g x)^3}{(a+b \log (c (d+e x)^n))^{5/2}} \, dx\)
3.134
\(\int \frac {(f+g x)^2}{(a+b \log (c (d+e x)^n))^{5/2}} \, dx\)
3.135
\(\int \frac {f+g x}{(a+b \log (c (d+e x)^n))^{5/2}} \, dx\)
3.136
\(\int \frac {1}{(a+b \log (c (d+e x)^n))^{5/2}} \, dx\)
3.137
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))^{5/2}} \, dx\)
3.138
\(\int (f+g x)^{3/2} (a+b \log (c (d+e x)^n)) \, dx\)
3.139
\(\int \sqrt {f+g x} (a+b \log (c (d+e x)^n)) \, dx\)
3.140
\(\int \frac {a+b \log (c (d+e x)^n)}{\sqrt {f+g x}} \, dx\)
3.141
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^{3/2}} \, dx\)
3.142
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^{5/2}} \, dx\)
3.143
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^{7/2}} \, dx\)
3.144
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^{9/2}} \, dx\)
3.145
\(\int (f+g x)^{3/2} (a+b \log (c (d+e x)^n))^2 \, dx\)
3.146
\(\int \sqrt {f+g x} (a+b \log (c (d+e x)^n))^2 \, dx\)
3.147
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{\sqrt {f+g x}} \, dx\)
3.148
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^{3/2}} \, dx\)
3.149
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^{5/2}} \, dx\)
3.150
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^{7/2}} \, dx\)
3.151
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x)^{9/2}} \, dx\)
3.152
\(\int \frac {(f+g x)^{3/2}}{a+b \log (c (d+e x)^n)} \, dx\)
3.153
\(\int \frac {\sqrt {f+g x}}{a+b \log (c (d+e x)^n)} \, dx\)
3.154
\(\int \frac {1}{\sqrt {f+g x} (a+b \log (c (d+e x)^n))} \, dx\)
3.155
\(\int \frac {1}{(f+g x)^{3/2} (a+b \log (c (d+e x)^n))} \, dx\)
3.156
\(\int \sqrt {f+g x} \sqrt {a+b \log (c (d+e x)^n)} \, dx\)
3.157
\(\int \frac {\sqrt {a+b \log (c (d+e x)^n)}}{\sqrt {f+g x}} \, dx\)
3.158
\(\int \frac {\sqrt {a+b \log (c (d+e x)^n)}}{(f+g x)^{3/2}} \, dx\)
3.159
\(\int \frac {\sqrt {f+g x}}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.160
\(\int \frac {1}{\sqrt {f+g x} \sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.161
\(\int \frac {1}{(f+g x)^{3/2} \sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.162
\(\int (f+g x)^m (a+b \log (c (d+e x)^n)) \, dx\)
3.163
\(\int \frac {(f+g x)^m}{a+b \log (c (d+e x)^n)} \, dx\)
3.164
\(\int \frac {(f+g x)^m}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.165
\(\int (f+g x)^m (a+b \log (c (d+e x)^n))^{3/2} \, dx\)
3.166
\(\int (f+g x)^m \sqrt {a+b \log (c (d+e x)^n)} \, dx\)
3.167
\(\int \frac {(f+g x)^m}{\sqrt {a+b \log (c (d+e x)^n)}} \, dx\)
3.168
\(\int \frac {(f+g x)^m}{(a+b \log (c (d+e x)^n))^{3/2}} \, dx\)
3.169
\(\int (f+g x)^m (a+b \log (c (d+e x)^n))^n \, dx\)
3.170
\(\int (f+g x)^3 (a+b \log (c (d+e x)^n))^n \, dx\)
3.171
\(\int (f+g x)^2 (a+b \log (c (d+e x)^n))^n \, dx\)
3.172
\(\int (f+g x) (a+b \log (c (d+e x)^n))^n \, dx\)
3.173
\(\int (a+b \log (c (d+e x)^n))^n \, dx\)
3.174
\(\int \frac {(a+b \log (c (d+e x)^n))^n}{f+g x} \, dx\)
3.175
\(\int \frac {(h+i x)^4 (a+b \log (c (e+f x)))}{d e+d f x} \, dx\)
3.176
\(\int \frac {(h+i x)^3 (a+b \log (c (e+f x)))}{d e+d f x} \, dx\)
3.177
\(\int \frac {(h+i x)^2 (a+b \log (c (e+f x)))}{d e+d f x} \, dx\)
3.178
\(\int \frac {(h+i x) (a+b \log (c (e+f x)))}{d e+d f x} \, dx\)
3.179
\(\int \frac {a+b \log (c (e+f x))}{d e+d f x} \, dx\)
3.180
\(\int \frac {a+b \log (c (e+f x))}{(d e+d f x) (h+i x)} \, dx\)
3.181
\(\int \frac {a+b \log (c (e+f x))}{(d e+d f x) (h+i x)^2} \, dx\)
3.182
\(\int \frac {a+b \log (c (e+f x))}{(d e+d f x) (h+i x)^3} \, dx\)
3.183
\(\int \frac {(h+i x)^4 (a+b \log (c (e+f x)))^2}{d e+d f x} \, dx\)
3.184
\(\int \frac {(h+i x)^3 (a+b \log (c (e+f x)))^2}{d e+d f x} \, dx\)
3.185
\(\int \frac {(h+i x)^2 (a+b \log (c (e+f x)))^2}{d e+d f x} \, dx\)
3.186
\(\int \frac {(h+i x) (a+b \log (c (e+f x)))^2}{d e+d f x} \, dx\)
3.187
\(\int \frac {(a+b \log (c (e+f x)))^2}{d e+d f x} \, dx\)
3.188
\(\int \frac {(a+b \log (c (e+f x)))^2}{(d e+d f x) (h+i x)} \, dx\)
3.189
\(\int \frac {(a+b \log (c (e+f x)))^2}{(d e+d f x) (h+i x)^2} \, dx\)
3.190
\(\int \frac {(a+b \log (c (e+f x)))^2}{(d e+d f x) (h+i x)^3} \, dx\)
3.191
\(\int \frac {(h+i x)^4}{(d e+d f x) (a+b \log (c (e+f x)))} \, dx\)
3.192
\(\int \frac {(h+i x)^3}{(d e+d f x) (a+b \log (c (e+f x)))} \, dx\)
3.193
\(\int \frac {(h+i x)^2}{(d e+d f x) (a+b \log (c (e+f x)))} \, dx\)
3.194
\(\int \frac {h+i x}{(d e+d f x) (a+b \log (c (e+f x)))} \, dx\)
3.195
\(\int \frac {1}{(d e+d f x) (a+b \log (c (e+f x)))} \, dx\)
3.196
\(\int \frac {1}{(d e+d f x) (h+i x) (a+b \log (c (e+f x)))} \, dx\)
3.197
\(\int \frac {1}{(d e+d f x) (h+i x)^2 (a+b \log (c (e+f x)))} \, dx\)
3.198
\(\int \frac {(f+g x)^{5/2} (a+b \log (c (d+e x)^n))}{d+e x} \, dx\)
3.199
\(\int \frac {(f+g x)^{3/2} (a+b \log (c (d+e x)^n))}{d+e x} \, dx\)
3.200
\(\int \frac {\sqrt {f+g x} (a+b \log (c (d+e x)^n))}{d+e x} \, dx\)
3.201
\(\int \frac {a+b \log (c (d+e x)^n)}{(d+e x) \sqrt {f+g x}} \, dx\)
3.202
\(\int \frac {a+b \log (c (d+e x)^n)}{(d+e x) (f+g x)^{3/2}} \, dx\)
3.203
\(\int \frac {a+b \log (c (d+e x)^n)}{(d+e x) (f+g x)^{5/2}} \, dx\)
3.204
\(\int \frac {(d+e x)^{3/2} \log (a+b x)}{a+b x} \, dx\)
3.205
\(\int \frac {\sqrt {d+e x} \log (a+b x)}{a+b x} \, dx\)
3.206
\(\int \frac {\log (a+b x)}{(a+b x) \sqrt {d+e x}} \, dx\)
3.207
\(\int \frac {\log (a+b x)}{(a+b x) (d+e x)^{3/2}} \, dx\)
3.208
\(\int \frac {\log (a+b x)}{(a+b x) (d+e x)^{5/2}} \, dx\)
3.209
\(\int \frac {(h+i x)^q (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\)
3.210
\(\int \frac {(h+i x)^3 (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\)
3.211
\(\int \frac {(h+i x)^2 (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\)
3.212
\(\int \frac {(h+i x) (a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\)
3.213
\(\int \frac {(a+b \log (c (e+f x)))^p}{d e+d f x} \, dx\)
3.214
\(\int \frac {(a+b \log (c (e+f x)))^p}{(d e+d f x) (h+i x)} \, dx\)
3.215
\(\int \frac {(a+b \log (c (e+f x)))^p}{(d e+d f x) (h+i x)^2} \, dx\)
3.216
\(\int \frac {(a+b \log (c (e+f x)))^p}{(d e+d f x) (h+i x)^3} \, dx\)
3.217
\(\int \frac {(h+i x)^3 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\)
3.218
\(\int \frac {(h+i x)^2 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\)
3.219
\(\int \frac {(h+i x) (a+b \log (c (d+e x)^n))}{f+g x} \, dx\)
3.220
\(\int \frac {a+b \log (c (d+e x)^n)}{f+g x} \, dx\)
3.221
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x) (h+i x)} \, dx\)
3.222
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x) (h+i x)^2} \, dx\)
3.223
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x) (h+i x)^3} \, dx\)
3.224
\(\int \frac {(h+i x)^2 (a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\)
3.225
\(\int \frac {(h+i x) (a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\)
3.226
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{f+g x} \, dx\)
3.227
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x) (h+i x)} \, dx\)
3.228
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x) (h+i x)^2} \, dx\)
3.229
\(\int \frac {(h+i x)^2 (a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\)
3.230
\(\int \frac {(h+i x) (a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\)
3.231
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{f+g x} \, dx\)
3.232
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{(f+g x) (h+i x)} \, dx\)
3.233
\(\int \frac {(a+b \log (c (d+e x)^n))^3}{(f+g x) (h+i x)^2} \, dx\)
3.234
\(\int \frac {h+i x}{(f+g x) (a+b \log (c (d+e x)^n))} \, dx\)
3.235
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))} \, dx\)
3.236
\(\int \frac {1}{(f+g x) (h+i x) (a+b \log (c (d+e x)^n))} \, dx\)
3.237
\(\int \frac {1}{(f+g x) (h+i x)^2 (a+b \log (c (d+e x)^n))} \, dx\)
3.238
\(\int \frac {h+i x}{(f+g x) (a+b \log (c (d+e x)^n))^2} \, dx\)
3.239
\(\int \frac {1}{(f+g x) (a+b \log (c (d+e x)^n))^2} \, dx\)
3.240
\(\int \frac {1}{(f+g x) (h+i x) (a+b \log (c (d+e x)^n))^2} \, dx\)
3.241
\(\int \frac {1}{(f+g x) (h+i x)^2 (a+b \log (c (d+e x)^n))^2} \, dx\)
3.242
\(\int \frac {x^3 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\)
3.243
\(\int \frac {x^2 (a+b \log (c (d+e x)^n))}{f+g x} \, dx\)
3.244
\(\int \frac {x (a+b \log (c (d+e x)^n))}{f+g x} \, dx\)
3.245
\(\int \frac {a+b \log (c (d+e x)^n)}{f+g x} \, dx\)
3.246
\(\int \frac {a+b \log (c (d+e x)^n)}{x (f+g x)} \, dx\)
3.247
\(\int \frac {a+b \log (c (d+e x)^n)}{x^2 (f+g x)} \, dx\)
3.248
\(\int \frac {a+b \log (c (d+e x)^n)}{x^3 (f+g x)} \, dx\)
3.249
\(\int \frac {x^3 (a+b \log (c (d+e x)^n))}{(f+g x)^2} \, dx\)
3.250
\(\int \frac {x^2 (a+b \log (c (d+e x)^n))}{(f+g x)^2} \, dx\)
3.251
\(\int \frac {x (a+b \log (c (d+e x)^n))}{(f+g x)^2} \, dx\)
3.252
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x)^2} \, dx\)
3.253
\(\int \frac {a+b \log (c (d+e x)^n)}{x (f+g x)^2} \, dx\)
3.254
\(\int \frac {a+b \log (c (d+e x)^n)}{x^2 (f+g x)^2} \, dx\)
3.255
\(\int \frac {a+b \log (c (d+e x)^n)}{x^3 (f+g x)^2} \, dx\)
3.256
\(\int \frac {x^5 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\)
3.257
\(\int \frac {x^3 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\)
3.258
\(\int \frac {x (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\)
3.259
\(\int \frac {a+b \log (c (d+e x)^n)}{x (f+g x^2)} \, dx\)
3.260
\(\int \frac {a+b \log (c (d+e x)^n)}{x^3 (f+g x^2)} \, dx\)
3.261
\(\int \frac {x^4 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\)
3.262
\(\int \frac {x^2 (a+b \log (c (d+e x)^n))}{f+g x^2} \, dx\)
3.263
\(\int \frac {a+b \log (c (d+e x)^n)}{f+g x^2} \, dx\)
3.264
\(\int \frac {a+b \log (c (d+e x)^n)}{x^2 (f+g x^2)} \, dx\)
3.265
\(\int \frac {a+b \log (c (d+e x)^n)}{x^4 (f+g x^2)} \, dx\)
3.266
\(\int \frac {x^5 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\)
3.267
\(\int \frac {x^3 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\)
3.268
\(\int \frac {x (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\)
3.269
\(\int \frac {a+b \log (c (d+e x)^n)}{x (f+g x^2)^2} \, dx\)
3.270
\(\int \frac {a+b \log (c (d+e x)^n)}{x^3 (f+g x^2)^2} \, dx\)
3.271
\(\int \frac {x^4 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\)
3.272
\(\int \frac {x^2 (a+b \log (c (d+e x)^n))}{(f+g x^2)^2} \, dx\)
3.273
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+g x^2)^2} \, dx\)
3.274
\(\int \frac {a+b \log (c (d+e x)^n)}{x^2 (f+g x^2)^2} \, dx\)
3.275
\(\int \frac {a+b \log (c (d+e x)^n)}{\sqrt {2+g x^2}} \, dx\)
3.276
\(\int \frac {a+b \log (c (d+e x)^n)}{\sqrt {f+g x^2}} \, dx\)
3.277
\(\int \frac {a+b \log (c (d+e x)^n)}{\sqrt {2-g x} \sqrt {2+g x}} \, dx\)
3.278
\(\int \frac {a+b \log (c (d+e x)^n)}{\sqrt {f-g x} \sqrt {f+g x}} \, dx\)
3.279
\(\int \frac {\log (\frac {2 e}{e+f x})}{e^2-f^2 x^2} \, dx\)
3.280
\(\int \frac {\log (\frac {e}{e+f x})}{e^2-f^2 x^2} \, dx\)
3.281
\(\int \frac {a+b \log (\frac {2 e}{e+f x})}{e^2-f^2 x^2} \, dx\)
3.282
\(\int \frac {a+b \log (\frac {e}{e+f x})}{e^2-f^2 x^2} \, dx\)
3.283
\(\int \frac {x^5 \log (c+d x)}{a+b x^3} \, dx\)
3.284
\(\int \frac {x^2 \log (c+d x)}{a+b x^3} \, dx\)
3.285
\(\int \frac {\log (c+d x)}{x (a+b x^3)} \, dx\)
3.286
\(\int \frac {\log (c+d x)}{x^4 (a+b x^3)} \, dx\)
3.287
\(\int \frac {x^4 \log (c+d x)}{a+b x^3} \, dx\)
3.288
\(\int \frac {x^3 \log (c+d x)}{a+b x^3} \, dx\)
3.289
\(\int \frac {x \log (c+d x)}{a+b x^3} \, dx\)
3.290
\(\int \frac {\log (c+d x)}{a+b x^3} \, dx\)
3.291
\(\int \frac {\log (c+d x)}{x^2 (a+b x^3)} \, dx\)
3.292
\(\int \frac {\log (c+d x)}{x^3 (a+b x^3)} \, dx\)
3.293
\(\int \frac {x^7 \log (c+d x)}{a+b x^4} \, dx\)
3.294
\(\int \frac {x^3 \log (c+d x)}{a+b x^4} \, dx\)
3.295
\(\int \frac {\log (c+d x)}{x (a+b x^4)} \, dx\)
3.296
\(\int \frac {x^5 \log (c+d x)}{a+b x^4} \, dx\)
3.297
\(\int \frac {x \log (c+d x)}{a+b x^4} \, dx\)
3.298
\(\int \frac {\log (c+d x)}{x^3 (a+b x^4)} \, dx\)
3.299
\(\int \frac {x^4 \log (c+d x)}{a+b x^4} \, dx\)
3.300
\(\int \frac {x^2 \log (c+d x)}{a+b x^4} \, dx\)
3.301
\(\int \frac {\log (c+d x)}{a+b x^4} \, dx\)
3.302
\(\int \frac {\log (c+d x)}{x^2 (a+b x^4)} \, dx\)
3.303
\(\int (f+\frac {g}{x}) x (a+b \log (c (d+e x)^n)) \, dx\)
3.304
\(\int (f+\frac {g}{x})^2 x^2 (a+b \log (c (d+e x)^n)) \, dx\)
3.305
\(\int (f+\frac {g}{x})^3 x^3 (a+b \log (c (d+e x)^n)) \, dx\)
3.306
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+\frac {g}{x}) x} \, dx\)
3.307
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+\frac {g}{x})^2 x^2} \, dx\)
3.308
\(\int \frac {a+b \log (c (d+e x)^n)}{(f+\frac {g}{x})^3 x^3} \, dx\)
3.309
\(\int \frac {\log (a+b x)}{c+\frac {d}{x^2}} \, dx\)
3.310
\(\int \frac {x^5 (a+b \log (c (d+e x)^n))^2}{f+g x^2} \, dx\)
3.311
\(\int \frac {x^3 (a+b \log (c (d+e x)^n))^2}{f+g x^2} \, dx\)
3.312
\(\int \frac {x (a+b \log (c (d+e x)^n))^2}{f+g x^2} \, dx\)
3.313
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x (f+g x^2)} \, dx\)
3.314
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x^3 (f+g x^2)} \, dx\)
3.315
\(\int \frac {x^4 (a+b \log (c (d+e x)^n))^2}{f+g x^2} \, dx\)
3.316
\(\int \frac {x^2 (a+b \log (c (d+e x)^n))^2}{f+g x^2} \, dx\)
3.317
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{f+g x^2} \, dx\)
3.318
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x^2 (f+g x^2)} \, dx\)
3.319
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x^4 (f+g x^2)} \, dx\)
3.320
\(\int \frac {x^5 (a+b \log (c (d+e x)^n))^2}{(f+g x^2)^2} \, dx\)
3.321
\(\int \frac {x^3 (a+b \log (c (d+e x)^n))^2}{(f+g x^2)^2} \, dx\)
3.322
\(\int \frac {x (a+b \log (c (d+e x)^n))^2}{(f+g x^2)^2} \, dx\)
3.323
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x (f+g x^2)^2} \, dx\)
3.324
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x^3 (f+g x^2)^2} \, dx\)
3.325
\(\int \frac {x^4 (a+b \log (c (d+e x)^n))^2}{(f+g x^2)^2} \, dx\)
3.326
\(\int \frac {x^2 (a+b \log (c (d+e x)^n))^2}{(f+g x^2)^2} \, dx\)
3.327
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{(f+g x^2)^2} \, dx\)
3.328
\(\int \frac {(a+b \log (c (d+e x)^n))^2}{x^2 (f+g x^2)^2} \, dx\)
3.329
\(\int \frac {\log ^3(c (a+b x)^n)}{d+e x^2} \, dx\)
3.330
\(\int \frac {\log ^2(c (a+b x)^n)}{d+e x^2} \, dx\)
3.331
\(\int \frac {\log (c (a+b x)^n)}{d+e x^2} \, dx\)
3.332
\(\int \frac {1}{(d+e x^2) \log (c (a+b x)^n)} \, dx\)
3.333
\(\int \frac {\log (c-\frac {a (1-c) x^{-m}}{b})}{x (a+b x^m)} \, dx\)
3.334
\(\int \frac {\log (\frac {x^{-m} (-a+a c+b c x^m)}{b})}{x (a+b x^m)} \, dx\)
3.335
\(\int \frac {\log (c (a-\frac {(d-a c d) x^{-m}}{c e}))}{x (d+e x^m)} \, dx\)
3.336
\(\int \frac {\log (\frac {x^{-m} (-d+a c d+a c e x^m)}{e})}{x (d+e x^m)} \, dx\)
3.337
\(\int \frac {\log (\frac {2 a}{a+b x})}{a^2-b^2 x^2} \, dx\)
3.338
\(\int \frac {\log (\frac {2 a}{a+b x})}{(a-b x) (a+b x)} \, dx\)
3.339
\(\int \frac {\log (\frac {a (1-c)+b (1+c) x}{a+b x})}{a^2-b^2 x^2} \, dx\)
3.340
\(\int \frac {\log (\frac {a (1-c)+b (1+c) x}{a+b x})}{(a-b x) (a+b x)} \, dx\)
3.341
\(\int \frac {\log (1-\frac {c (a-b x)}{a+b x})}{a^2-b^2 x^2} \, dx\)
3.342
\(\int \frac {\log (1-\frac {c (a-b x)}{a+b x})}{(a-b x) (a+b x)} \, dx\)
3.343
\(\int \frac {\log ^3(c (a+b x)^n)}{d x+e x^2} \, dx\)
3.344
\(\int \frac {\log ^2(c (a+b x)^n)}{d x+e x^2} \, dx\)
3.345
\(\int \frac {\log (c (a+b x)^n)}{d x+e x^2} \, dx\)
3.346
\(\int \frac {1}{(d x+e x^2) \log (c (a+b x)^n)} \, dx\)
3.347
\(\int \frac {\log ^3(c (a+b x)^n)}{d+e x+f x^2} \, dx\)
3.348
\(\int \frac {\log ^2(c (a+b x)^n)}{d+e x+f x^2} \, dx\)
3.349
\(\int \frac {\log (c (a+b x)^n)}{d+e x+f x^2} \, dx\)
3.350
\(\int \frac {1}{(d+e x+f x^2) \log (c (a+b x)^n)} \, dx\)
3.351
\(\int \frac {x^3 \log (x)}{a+b x+c x^2} \, dx\)
3.352
\(\int \frac {x^2 \log (x)}{a+b x+c x^2} \, dx\)
3.353
\(\int \frac {x \log (x)}{a+b x+c x^2} \, dx\)
3.354
\(\int \frac {\log (x)}{a+b x+c x^2} \, dx\)
3.355
\(\int \frac {\log (x)}{x (a+b x+c x^2)} \, dx\)
3.356
\(\int \frac {\log (x)}{x^2 (a+b x+c x^2)} \, dx\)
3.357
\(\int \frac {\log (x)}{x^3 (a+b x+c x^2)} \, dx\)
3.358
\(\int x^3 \log (f x^m) (a+b \log (c (d+e x)^n)) \, dx\)
3.359
\(\int x^2 \log (f x^m) (a+b \log (c (d+e x)^n)) \, dx\)
3.360
\(\int x \log (f x^m) (a+b \log (c (d+e x)^n)) \, dx\)
3.361
\(\int \log (f x^m) (a+b \log (c (d+e x)^n)) \, dx\)
3.362
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))}{x} \, dx\)
3.363
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))}{x^2} \, dx\)
3.364
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))}{x^3} \, dx\)
3.365
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))}{x^4} \, dx\)
3.366
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))}{x^5} \, dx\)
3.367
\(\int x^2 \log (f x^m) (a+b \log (c (d+e x)^n))^2 \, dx\)
3.368
\(\int x \log (f x^m) (a+b \log (c (d+e x)^n))^2 \, dx\)
3.369
\(\int \log (f x^m) (a+b \log (c (d+e x)^n))^2 \, dx\)
3.370
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))^2}{x} \, dx\)
3.371
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))^2}{x^2} \, dx\)
3.372
\(\int \frac {\log (f x^m) (a+b \log (c (d+e x)^n))^2}{x^3} \, dx\)
3.373
\(\int \log (f x^m) (a+b \log (c (d+e x)^n))^3 \, dx\)
3.374
\(\int \frac {\log (x) \log ^2(a+b x)}{x} \, dx\)
3.375
\(\int \frac {\log (f x^m)}{a+b \log (c (d+e x)^n)} \, dx\)
3.376
\(\int \frac {\log (f x^m)}{(a+b \log (c (d+e x)^n))^2} \, dx\)
3.377
\(\int \log (f x^m) (a+b \log (c (d+e x)^n))^p \, dx\)
3.378
\(\int \frac {\log (a+b x) \log (c+d x)}{x} \, dx\)
3.379
\(\int x^2 (a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n)) \, dx\)
3.380
\(\int x (a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n)) \, dx\)
3.381
\(\int (a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n)) \, dx\)
3.382
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n))}{x} \, dx\)
3.383
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n))}{x^2} \, dx\)
3.384
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n))}{x^3} \, dx\)
3.385
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (c (d+e x)^n))}{x^4} \, dx\)
3.386
\(\int x^3 (a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m)) \, dx\)
3.387
\(\int x^2 (a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m)) \, dx\)
3.388
\(\int x (a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m)) \, dx\)
3.389
\(\int (a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m)) \, dx\)
3.390
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m))}{x} \, dx\)
3.391
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m))}{x^2} \, dx\)
3.392
\(\int \frac {(a+b \log (c (d+e x)^n)) (f+g \log (h (i+j x)^m))}{x^3} \, dx\)
3.393
\(\int x (a+b \log (c (d+e x)^n))^2 (f+g \log (h (i+j x)^m)) \, dx\)
3.394
\(\int (a+b \log (c (d+e x)^n))^2 (f+g \log (h (i+j x)^m)) \, dx\)
3.395
\(\int \frac {(a+b \log (c (d+e x)^n))^2 (f+g \log (h (i+j x)^m))}{x} \, dx\)
3.396
\(\int \frac {(a+b \log (c (d+e x)^n))^2 (f+g \log (h (i+j x)^m))}{x^2} \, dx\)
3.397
\(\int x (a+b \log (c (d+e x)^n))^3 (f+g \log (h (i+j x)^m)) \, dx\)
3.398
\(\int (a+b \log (c (d+e x)^n))^3 (f+g \log (h (i+j x)^m)) \, dx\)
3.399
\(\int \frac {(a+b \log (c (d+e x)^n))^3 (f+g \log (h (i+j x)^m))}{x} \, dx\)
3.400
\(\int \frac {(a+b \log (c (d+e x)^n))^3 (f+g \log (h (i+j x)^m))}{x^2} \, dx\)
3.401
\(\int \frac {(a+b \log (c (d+e x)^n)) \log (\frac {e (f+g x)}{e f-d g})}{d+e x} \, dx\)
3.402
\(\int \frac {\log (c (d+e x)) (a+b \log (c (d+e x)))}{(d+e x)^2} \, dx\)
3.403
\(\int \frac {(a+b \log (c (d+e x))) (f+g \log (c (d+e x)))}{(d+e x)^2} \, dx\)
3.404
\(\int (a+b \log (c (d (e+f x)^m)^n))^4 \, dx\)
3.405
\(\int (a+b \log (c (d (e+f x)^m)^n))^3 \, dx\)
3.406
\(\int (a+b \log (c (d (e+f x)^m)^n))^2 \, dx\)
3.407
\(\int (a+b \log (c (d (e+f x)^m)^n)) \, dx\)
3.408
\(\int \frac {1}{a+b \log (c (d (e+f x)^m)^n)} \, dx\)
3.409
\(\int \frac {1}{(a+b \log (c (d (e+f x)^m)^n))^2} \, dx\)
3.410
\(\int \frac {1}{(a+b \log (c (d (e+f x)^m)^n))^3} \, dx\)
3.411
\(\int (a+b \log (c (d (e+f x)^m)^n))^{5/2} \, dx\)
3.412
\(\int (a+b \log (c (d (e+f x)^m)^n))^{3/2} \, dx\)
3.413
\(\int \sqrt {a+b \log (c (d (e+f x)^m)^n)} \, dx\)
3.414
\(\int \frac {1}{\sqrt {a+b \log (c (d (e+f x)^m)^n)}} \, dx\)
3.415
\(\int \frac {1}{(a+b \log (c (d (e+f x)^m)^n))^{3/2}} \, dx\)
3.416
\(\int \frac {1}{(a+b \log (c (d (e+f x)^m)^n))^{5/2}} \, dx\)
3.417
\(\int \frac {1}{(a+b \log (c (d (e+f x)^m)^n))^{7/2}} \, dx\)
3.418
\(\int (a+b \log (c (d (e+f x)^m)^n))^p \, dx\)
3.419
\(\int (a+b \log (c \sqrt {d \sqrt {e+f x}}))^p \, dx\)
3.420
\(\int (g+h x)^3 (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.421
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.422
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.423
\(\int (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.424
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{g+h x} \, dx\)
3.425
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^2} \, dx\)
3.426
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^3} \, dx\)
3.427
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^4} \, dx\)
3.428
\(\int (g+h x)^3 (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\)
3.429
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\)
3.430
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\)
3.431
\(\int (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\)
3.432
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\)
3.433
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^2} \, dx\)
3.434
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^3} \, dx\)
3.435
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^3 \, dx\)
3.436
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^3 \, dx\)
3.437
\(\int (a+b \log (c (d (e+f x)^p)^q))^3 \, dx\)
3.438
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\)
3.439
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x)^2} \, dx\)
3.440
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x)^3} \, dx\)
3.441
\(\int (a+b \log (c (d (e+f x)^p)^q))^4 \, dx\)
3.442
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^4}{g+h x} \, dx\)
3.443
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^4}{(g+h x)^2} \, dx\)
3.444
\(\int \log (c (d (e+f x)^p)^q) \, dx\)
3.445
\(\int \frac {(g+h x)^2}{a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.446
\(\int \frac {g+h x}{a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.447
\(\int \frac {1}{a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.448
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.449
\(\int \frac {1}{(g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.450
\(\int \frac {(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.451
\(\int \frac {g+h x}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.452
\(\int \frac {1}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.453
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.454
\(\int \frac {1}{(g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.455
\(\int \frac {(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^3} \, dx\)
3.456
\(\int \frac {g+h x}{(a+b \log (c (d (e+f x)^p)^q))^3} \, dx\)
3.457
\(\int \frac {1}{(a+b \log (c (d (e+f x)^p)^q))^3} \, dx\)
3.458
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^3} \, dx\)
3.459
\(\int \frac {1}{(g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^3} \, dx\)
3.460
\(\int (g+h x)^2 \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.461
\(\int (g+h x) \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.462
\(\int \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.463
\(\int \frac {\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{g+h x} \, dx\)
3.464
\(\int \frac {\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{(g+h x)^2} \, dx\)
3.465
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\)
3.466
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\)
3.467
\(\int (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\)
3.468
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^{3/2}}{g+h x} \, dx\)
3.469
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^{3/2}}{(g+h x)^2} \, dx\)
3.470
\(\int \frac {(g+h x)^2}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.471
\(\int \frac {g+h x}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.472
\(\int \frac {1}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.473
\(\int \frac {1}{(g+h x) \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.474
\(\int \frac {(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\)
3.475
\(\int \frac {g+h x}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\)
3.476
\(\int \frac {1}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\)
3.477
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\)
3.478
\(\int \frac {(g+h x)^2}{(a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\)
3.479
\(\int \frac {g+h x}{(a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\)
3.480
\(\int \frac {1}{(a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\)
3.481
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^{5/2}} \, dx\)
3.482
\(\int (g+h x)^{3/2} (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.483
\(\int \sqrt {g+h x} (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.484
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g+h x}} \, dx\)
3.485
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{3/2}} \, dx\)
3.486
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{5/2}} \, dx\)
3.487
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{7/2}} \, dx\)
3.488
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x)^{9/2}} \, dx\)
3.489
\(\int (g+h x)^{3/2} (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\)
3.490
\(\int \sqrt {g+h x} (a+b \log (c (d (e+f x)^p)^q))^2 \, dx\)
3.491
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{\sqrt {g+h x}} \, dx\)
3.492
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{3/2}} \, dx\)
3.493
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{5/2}} \, dx\)
3.494
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{7/2}} \, dx\)
3.495
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x)^{9/2}} \, dx\)
3.496
\(\int \frac {(g+h x)^{3/2}}{a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.497
\(\int \frac {\sqrt {g+h x}}{a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.498
\(\int \frac {1}{\sqrt {g+h x} (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.499
\(\int \frac {1}{(g+h x)^{3/2} (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.500
\(\int \sqrt {g+h x} \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.501
\(\int \frac {\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{\sqrt {g+h x}} \, dx\)
3.502
\(\int \frac {\sqrt {a+b \log (c (d (e+f x)^p)^q)}}{(g+h x)^{3/2}} \, dx\)
3.503
\(\int \frac {\sqrt {g+h x}}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.504
\(\int \frac {1}{\sqrt {g+h x} \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.505
\(\int \frac {1}{(g+h x)^{3/2} \sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.506
\(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q)) \, dx\)
3.507
\(\int \frac {(g+h x)^m}{a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.508
\(\int \frac {(g+h x)^m}{(a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.509
\(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q))^{3/2} \, dx\)
3.510
\(\int (g+h x)^m \sqrt {a+b \log (c (d (e+f x)^p)^q)} \, dx\)
3.511
\(\int \frac {(g+h x)^m}{\sqrt {a+b \log (c (d (e+f x)^p)^q)}} \, dx\)
3.512
\(\int \frac {(g+h x)^m}{(a+b \log (c (d (e+f x)^p)^q))^{3/2}} \, dx\)
3.513
\(\int (g+h x)^m (a+b \log (c (d (e+f x)^p)^q))^n \, dx\)
3.514
\(\int (g+h x)^2 (a+b \log (c (d (e+f x)^p)^q))^n \, dx\)
3.515
\(\int (g+h x) (a+b \log (c (d (e+f x)^p)^q))^n \, dx\)
3.516
\(\int (a+b \log (c (d (e+f x)^p)^q))^n \, dx\)
3.517
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^n}{g+h x} \, dx\)
3.518
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{g+h x^2} \, dx\)
3.519
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{\sqrt {2+h x^2}} \, dx\)
3.520
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g+h x^2}} \, dx\)
3.521
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{\sqrt {2-h x} \sqrt {2+h x}} \, dx\)
3.522
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{\sqrt {g-h x} \sqrt {g+h x}} \, dx\)
3.523
\(\int \frac {(i+j x)^3 (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\)
3.524
\(\int \frac {(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\)
3.525
\(\int \frac {(i+j x) (a+b \log (c (d (e+f x)^p)^q))}{g+h x} \, dx\)
3.526
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{g+h x} \, dx\)
3.527
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)} \, dx\)
3.528
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)^2} \, dx\)
3.529
\(\int \frac {a+b \log (c (d (e+f x)^p)^q)}{(g+h x) (i+j x)^3} \, dx\)
3.530
\(\int \frac {(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\)
3.531
\(\int \frac {(i+j x) (a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\)
3.532
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{g+h x} \, dx\)
3.533
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x) (i+j x)} \, dx\)
3.534
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^2}{(g+h x) (i+j x)^2} \, dx\)
3.535
\(\int \frac {(i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\)
3.536
\(\int \frac {(i+j x) (a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\)
3.537
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^3}{g+h x} \, dx\)
3.538
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x) (i+j x)} \, dx\)
3.539
\(\int \frac {(a+b \log (c (d (e+f x)^p)^q))^3}{(g+h x) (i+j x)^2} \, dx\)
3.540
\(\int \frac {i+j x}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.541
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.542
\(\int \frac {1}{(g+h x) (i+j x) (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.543
\(\int \frac {1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))} \, dx\)
3.544
\(\int \frac {i+j x}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.545
\(\int \frac {1}{(g+h x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.546
\(\int \frac {1}{(g+h x) (i+j x) (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
3.547
\(\int \frac {1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)
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