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Chapter 3
Listing of integrals
3.1
\(\int x^4 \log (c (a+b x^2)^p) \, dx\)
3.2
\(\int x^3 \log (c (a+b x^2)^p) \, dx\)
3.3
\(\int x^2 \log (c (a+b x^2)^p) \, dx\)
3.4
\(\int x \log (c (a+b x^2)^p) \, dx\)
3.5
\(\int \log (c (a+b x^2)^p) \, dx\)
3.6
\(\int \frac{\log (c (a+b x^2)^p)}{x} \, dx\)
3.7
\(\int \frac{\log (c (a+b x^2)^p)}{x^2} \, dx\)
3.8
\(\int \frac{\log (c (a+b x^2)^p)}{x^3} \, dx\)
3.9
\(\int \frac{\log (c (a+b x^2)^p)}{x^4} \, dx\)
3.10
\(\int \frac{\log (c (a+b x^2)^p)}{x^5} \, dx\)
3.11
\(\int \frac{\log (c (a+b x^2)^p)}{x^6} \, dx\)
3.12
\(\int \frac{\log (c (a+b x^2)^p)}{x^7} \, dx\)
3.13
\(\int x^5 \log (c (a+b x^3)^p) \, dx\)
3.14
\(\int x^4 \log (c (a+b x^3)^p) \, dx\)
3.15
\(\int x^3 \log (c (a+b x^3)^p) \, dx\)
3.16
\(\int x^2 \log (c (a+b x^3)^p) \, dx\)
3.17
\(\int x \log (c (a+b x^3)^p) \, dx\)
3.18
\(\int \log (c (a+b x^3)^p) \, dx\)
3.19
\(\int \frac{\log (c (a+b x^3)^p)}{x} \, dx\)
3.20
\(\int \frac{\log (c (a+b x^3)^p)}{x^2} \, dx\)
3.21
\(\int \frac{\log (c (a+b x^3)^p)}{x^3} \, dx\)
3.22
\(\int \frac{\log (c (a+b x^3)^p)}{x^4} \, dx\)
3.23
\(\int \frac{\log (c (a+b x^3)^p)}{x^5} \, dx\)
3.24
\(\int \frac{\log (c (a+b x^3)^p)}{x^6} \, dx\)
3.25
\(\int \frac{\log (c (a+b x^3)^p)}{x^7} \, dx\)
3.26
\(\int x^4 \log (c (a+\frac{b}{x})^p) \, dx\)
3.27
\(\int x^3 \log (c (a+\frac{b}{x})^p) \, dx\)
3.28
\(\int x^2 \log (c (a+\frac{b}{x})^p) \, dx\)
3.29
\(\int x \log (c (a+\frac{b}{x})^p) \, dx\)
3.30
\(\int \log (c (a+\frac{b}{x})^p) \, dx\)
3.31
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x} \, dx\)
3.32
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x^2} \, dx\)
3.33
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x^3} \, dx\)
3.34
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x^4} \, dx\)
3.35
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x^5} \, dx\)
3.36
\(\int x^4 \log (c (a+\frac{b}{x^2})^p) \, dx\)
3.37
\(\int x^3 \log (c (a+\frac{b}{x^2})^p) \, dx\)
3.38
\(\int x^2 \log (c (a+\frac{b}{x^2})^p) \, dx\)
3.39
\(\int x \log (c (a+\frac{b}{x^2})^p) \, dx\)
3.40
\(\int \log (c (a+\frac{b}{x^2})^p) \, dx\)
3.41
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x} \, dx\)
3.42
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x^2} \, dx\)
3.43
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x^3} \, dx\)
3.44
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x^4} \, dx\)
3.45
\(\int \frac{\log (1+\frac{b}{x})}{x} \, dx\)
3.46
\(\int x^3 \log (c (a+b \sqrt{x})^p) \, dx\)
3.47
\(\int x^2 \log (c (a+b \sqrt{x})^p) \, dx\)
3.48
\(\int x \log (c (a+b \sqrt{x})^p) \, dx\)
3.49
\(\int \log (c (a+b \sqrt{x})^p) \, dx\)
3.50
\(\int \frac{\log (c (a+b \sqrt{x})^p)}{x} \, dx\)
3.51
\(\int \frac{\log (c (a+b \sqrt{x})^p)}{x^2} \, dx\)
3.52
\(\int \frac{\log (c (a+b \sqrt{x})^p)}{x^3} \, dx\)
3.53
\(\int \frac{\log (c (a+b \sqrt{x})^p)}{x^4} \, dx\)
3.54
\(\int \frac{\log (a+b \sqrt{x})}{\sqrt{x}} \, dx\)
3.55
\(\int (f x)^m \log (c (d+e x^3)^p) \, dx\)
3.56
\(\int (f x)^m \log (c (d+e x^2)^p) \, dx\)
3.57
\(\int (f x)^m \log (c (d+e x)^p) \, dx\)
3.58
\(\int (f x)^m \log (c (d+\frac{e}{x})^p) \, dx\)
3.59
\(\int (f x)^m \log (c (d+\frac{e}{x^2})^p) \, dx\)
3.60
\(\int (f x)^m \log (c (d+\frac{e}{x^3})^p) \, dx\)
3.61
\(\int (f x)^m \log (c (d+e \sqrt{x})^p) \, dx\)
3.62
\(\int (f x)^m \log (c (d+\frac{e}{\sqrt{x}})^p) \, dx\)
3.63
\(\int (f x)^m \log (c (d+e x^n)^p) \, dx\)
3.64
\(\int (f x)^{-1+3 n} \log (c (d+e x^n)^p) \, dx\)
3.65
\(\int (f x)^{-1+2 n} \log (c (d+e x^n)^p) \, dx\)
3.66
\(\int (f x)^{-1+n} \log (c (d+e x^n)^p) \, dx\)
3.67
\(\int \frac{\log (c (d+e x^n)^p)}{f x} \, dx\)
3.68
\(\int (f x)^{-1-n} \log (c (d+e x^n)^p) \, dx\)
3.69
\(\int (f x)^{-1-2 n} \log (c (d+e x^n)^p) \, dx\)
3.70
\(\int x^2 \log (c (d+e x^n)^p) \, dx\)
3.71
\(\int x \log (c (d+e x^n)^p) \, dx\)
3.72
\(\int \log (c (d+e x^n)^p) \, dx\)
3.73
\(\int \frac{\log (c (d+e x^n)^p)}{x} \, dx\)
3.74
\(\int \frac{\log (c (d+e x^n)^p)}{x^2} \, dx\)
3.75
\(\int \frac{\log (c (d+e x^n)^p)}{x^3} \, dx\)
3.76
\(\int \frac{\log (c (d+e x^n)^p)}{x^4} \, dx\)
3.77
\(\int x^5 \log ^2(c (a+b x^2)^p) \, dx\)
3.78
\(\int x^3 \log ^2(c (a+b x^2)^p) \, dx\)
3.79
\(\int x \log ^2(c (a+b x^2)^p) \, dx\)
3.80
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x} \, dx\)
3.81
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^3} \, dx\)
3.82
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^5} \, dx\)
3.83
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^7} \, dx\)
3.84
\(\int x^4 \log ^2(c (a+b x^2)^p) \, dx\)
3.85
\(\int x^2 \log ^2(c (a+b x^2)^p) \, dx\)
3.86
\(\int \log ^2(c (a+b x^2)^p) \, dx\)
3.87
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^2} \, dx\)
3.88
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^4} \, dx\)
3.89
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^6} \, dx\)
3.90
\(\int \frac{\log ^2(c (a+b x^2)^p)}{x^8} \, dx\)
3.91
\(\int x^5 \log ^3(c (a+b x^2)^p) \, dx\)
3.92
\(\int x^3 \log ^3(c (a+b x^2)^p) \, dx\)
3.93
\(\int x \log ^3(c (a+b x^2)^p) \, dx\)
3.94
\(\int \frac{\log ^3(c (a+b x^2)^p)}{x} \, dx\)
3.95
\(\int \frac{\log ^3(c (a+b x^2)^p)}{x^3} \, dx\)
3.96
\(\int \frac{\log ^3(c (a+b x^2)^p)}{x^5} \, dx\)
3.97
\(\int \frac{\log ^3(c (a+b x^2)^p)}{x^7} \, dx\)
3.98
\(\int x^2 \log ^3(c (a+b x^2)^p) \, dx\)
3.99
\(\int \log ^3(c (a+b x^2)^p) \, dx\)
3.100
\(\int \frac{\log ^3(c (a+b x^2)^p)}{x^2} \, dx\)
3.101
\(\int \frac{\log ^3(c (a+b x^2)^p)}{x^4} \, dx\)
3.102
\(\int \frac{x^3}{\log (c (a+b x^2)^p)} \, dx\)
3.103
\(\int \frac{x}{\log (c (a+b x^2)^p)} \, dx\)
3.104
\(\int \frac{1}{x \log (c (a+b x^2)^p)} \, dx\)
3.105
\(\int \frac{1}{x^3 \log (c (a+b x^2)^p)} \, dx\)
3.106
\(\int \frac{x^2}{\log (c (a+b x^2)^p)} \, dx\)
3.107
\(\int \frac{1}{\log (c (a+b x^2)^p)} \, dx\)
3.108
\(\int \frac{1}{x^2 \log (c (a+b x^2)^p)} \, dx\)
3.109
\(\int \frac{x^3}{\log ^2(c (a+b x^2)^p)} \, dx\)
3.110
\(\int \frac{x}{\log ^2(c (a+b x^2)^p)} \, dx\)
3.111
\(\int \frac{1}{x \log ^2(c (a+b x^2)^p)} \, dx\)
3.112
\(\int \frac{1}{x^3 \log ^2(c (a+b x^2)^p)} \, dx\)
3.113
\(\int \frac{x^2}{\log ^2(c (a+b x^2)^p)} \, dx\)
3.114
\(\int \frac{1}{\log ^2(c (a+b x^2)^p)} \, dx\)
3.115
\(\int \frac{1}{x^2 \log ^2(c (a+b x^2)^p)} \, dx\)
3.116
\(\int \frac{x^3}{\log ^3(c (a+b x^2)^p)} \, dx\)
3.117
\(\int \frac{x}{\log ^3(c (a+b x^2)^p)} \, dx\)
3.118
\(\int \frac{1}{x \log ^3(c (a+b x^2)^p)} \, dx\)
3.119
\(\int \frac{1}{x^3 \log ^3(c (a+b x^2)^p)} \, dx\)
3.120
\(\int \frac{x^2}{\log ^3(c (a+b x^2)^p)} \, dx\)
3.121
\(\int \frac{1}{\log ^3(c (a+b x^2)^p)} \, dx\)
3.122
\(\int \frac{1}{x^2 \log ^3(c (a+b x^2)^p)} \, dx\)
3.123
\(\int \frac{x^3}{\log (c (a+b x^2))} \, dx\)
3.124
\(\int \frac{x}{\log (c (a+b x^2))} \, dx\)
3.125
\(\int \frac{x^3}{\log ^2(c (a+b x^2))} \, dx\)
3.126
\(\int \frac{x}{\log ^2(c (a+b x^2))} \, dx\)
3.127
\(\int \frac{x^3}{\log ^3(c (a+b x^2))} \, dx\)
3.128
\(\int \frac{x}{\log ^3(c (a+b x^2))} \, dx\)
3.129
\(\int x^5 \log ^2(c (d+e x^3)^p) \, dx\)
3.130
\(\int x^2 \log ^2(c (d+e x^3)^p) \, dx\)
3.131
\(\int \frac{\log ^2(c (d+e x^3)^p)}{x} \, dx\)
3.132
\(\int \frac{\log ^2(c (d+e x^3)^p)}{x^4} \, dx\)
3.133
\(\int x \log ^2(c (d+e x^3)^p) \, dx\)
3.134
\(\int \log ^2(c (d+e x^3)^p) \, dx\)
3.135
\(\int \frac{\log ^2(c (d+e x^3)^p)}{x^2} \, dx\)
3.136
\(\int \frac{\log ^2(c (d+e x^3)^p)}{x^3} \, dx\)
3.137
\(\int \frac{\log ^2(c (d+e x^3)^p)}{x^5} \, dx\)
3.138
\(\int \frac{x^8}{\log (c (d+e x^3)^p)} \, dx\)
3.139
\(\int \frac{x^5}{\log (c (d+e x^3)^p)} \, dx\)
3.140
\(\int \frac{x^2}{\log (c (d+e x^3)^p)} \, dx\)
3.141
\(\int \frac{1}{x \log (c (d+e x^3)^p)} \, dx\)
3.142
\(\int \frac{1}{x^4 \log (c (d+e x^3)^p)} \, dx\)
3.143
\(\int \frac{x^3}{\log (c (d+e x^3)^p)} \, dx\)
3.144
\(\int \frac{x}{\log (c (d+e x^3)^p)} \, dx\)
3.145
\(\int \frac{1}{\log (c (d+e x^3)^p)} \, dx\)
3.146
\(\int \frac{1}{x^2 \log (c (d+e x^3)^p)} \, dx\)
3.147
\(\int \frac{1}{x^3 \log (c (d+e x^3)^p)} \, dx\)
3.148
\(\int \frac{x^8}{\log ^2(c (d+e x^3)^p)} \, dx\)
3.149
\(\int \frac{x^5}{\log ^2(c (d+e x^3)^p)} \, dx\)
3.150
\(\int \frac{x^2}{\log ^2(c (d+e x^3)^p)} \, dx\)
3.151
\(\int \frac{1}{x \log ^2(c (d+e x^3)^p)} \, dx\)
3.152
\(\int \frac{1}{x^4 \log ^2(c (d+e x^3)^p)} \, dx\)
3.153
\(\int \frac{x^3}{\log ^2(c (d+e x^3)^p)} \, dx\)
3.154
\(\int \frac{x}{\log ^2(c (d+e x^3)^p)} \, dx\)
3.155
\(\int \frac{1}{\log ^2(c (d+e x^3)^p)} \, dx\)
3.156
\(\int \frac{1}{x^2 \log ^2(c (d+e x^3)^p)} \, dx\)
3.157
\(\int \frac{1}{x^3 \log ^2(c (d+e x^3)^p)} \, dx\)
3.158
\(\int (f x)^m \log ^3(c (d+e x^2)^p) \, dx\)
3.159
\(\int (f x)^m \log ^2(c (d+e x^2)^p) \, dx\)
3.160
\(\int (f x)^m \log (c (d+e x^2)^p) \, dx\)
3.161
\(\int \frac{(f x)^m}{\log (c (d+e x^2)^p)} \, dx\)
3.162
\(\int \frac{(f x)^m}{\log ^2(c (d+e x^2)^p)} \, dx\)
3.163
\(\int (f x)^{-1+3 n} \log ^2(c (d+e x^n)^p) \, dx\)
3.164
\(\int (f x)^{-1+2 n} \log ^2(c (d+e x^n)^p) \, dx\)
3.165
\(\int (f x)^{-1+n} \log ^2(c (d+e x^n)^p) \, dx\)
3.166
\(\int \frac{\log ^2(c (d+e x^n)^p)}{f x} \, dx\)
3.167
\(\int (f x)^{-1-n} \log ^2(c (d+e x^n)^p) \, dx\)
3.168
\(\int (f x)^{-1-2 n} \log ^2(c (d+e x^n)^p) \, dx\)
3.169
\(\int \frac{\log (1+e x^n)}{x} \, dx\)
3.170
\(\int \frac{\log (2+e x^n)}{x} \, dx\)
3.171
\(\int \frac{\log (2 (3+e x^n))}{x} \, dx\)
3.172
\(\int \frac{\log (c (d+e x^n))}{x} \, dx\)
3.173
\(\int \frac{\log (c (d+e x^n)^p)}{x} \, dx\)
3.174
\(\int \frac{\log ^2(c (d+e x^n)^p)}{x} \, dx\)
3.175
\(\int \frac{\log ^3(c (d+e x^n)^p)}{x} \, dx\)
3.176
\(\int (d+e x)^3 \log (c (a+b x)^p) \, dx\)
3.177
\(\int (d+e x)^2 \log (c (a+b x)^p) \, dx\)
3.178
\(\int (d+e x) \log (c (a+b x)^p) \, dx\)
3.179
\(\int \log (c (a+b x)^p) \, dx\)
3.180
\(\int \frac{\log (c (a+b x)^p)}{d+e x} \, dx\)
3.181
\(\int \frac{\log (c (a+b x)^p)}{(d+e x)^2} \, dx\)
3.182
\(\int \frac{\log (c (a+b x)^p)}{(d+e x)^3} \, dx\)
3.183
\(\int \frac{\log (c (a+b x)^p)}{(d+e x)^4} \, dx\)
3.184
\(\int (d+e x)^3 \log (c (a+b x^2)^p) \, dx\)
3.185
\(\int (d+e x)^2 \log (c (a+b x^2)^p) \, dx\)
3.186
\(\int (d+e x) \log (c (a+b x^2)^p) \, dx\)
3.187
\(\int \log (c (a+b x^2)^p) \, dx\)
3.188
\(\int \frac{\log (c (a+b x^2)^p)}{d+e x} \, dx\)
3.189
\(\int \frac{\log (c (a+b x^2)^p)}{(d+e x)^2} \, dx\)
3.190
\(\int \frac{\log (c (a+b x^2)^p)}{(d+e x)^3} \, dx\)
3.191
\(\int (d+e x)^3 \log (c (a+b x^3)^p) \, dx\)
3.192
\(\int (d+e x)^2 \log (c (a+b x^3)^p) \, dx\)
3.193
\(\int (d+e x) \log (c (a+b x^3)^p) \, dx\)
3.194
\(\int \log (c (a+b x^3)^p) \, dx\)
3.195
\(\int \frac{\log (c (a+b x^3)^p)}{d+e x} \, dx\)
3.196
\(\int \frac{\log (c (a+b x^3)^p)}{(d+e x)^2} \, dx\)
3.197
\(\int \frac{\log (c (a+b x^3)^p)}{(d+e x)^3} \, dx\)
3.198
\(\int (d+e x)^3 \log (c (a+\frac{b}{x})^p) \, dx\)
3.199
\(\int (d+e x)^2 \log (c (a+\frac{b}{x})^p) \, dx\)
3.200
\(\int (d+e x) \log (c (a+\frac{b}{x})^p) \, dx\)
3.201
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{d+e x} \, dx\)
3.202
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{(d+e x)^2} \, dx\)
3.203
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{(d+e x)^3} \, dx\)
3.204
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{(d+e x)^4} \, dx\)
3.205
\(\int \frac{\log (a+\frac{b}{x})}{c+d x} \, dx\)
3.206
\(\int (d+e x)^m \log (c (a+b x^3)^p) \, dx\)
3.207
\(\int (d+e x)^m \log (c (a+b x^2)^p) \, dx\)
3.208
\(\int (d+e x)^m \log (c (a+b x)^p) \, dx\)
3.209
\(\int (d+e x)^m \log (c (a+\frac{b}{x})^p) \, dx\)
3.210
\(\int (d+e x)^m \log (c (a+\frac{b}{x^2})^p) \, dx\)
3.211
\(\int (f+g x)^m \log (c (d+e x^n)^p) \, dx\)
3.212
\(\int (f+g x)^3 \log (c (d+e x^n)^p) \, dx\)
3.213
\(\int (f+g x)^2 \log (c (d+e x^n)^p) \, dx\)
3.214
\(\int (f+g x) \log (c (d+e x^n)^p) \, dx\)
3.215
\(\int \log (c (d+e x^n)^p) \, dx\)
3.216
\(\int \frac{\log (c (d+e x^n)^p)}{f+g x} \, dx\)
3.217
\(\int \frac{\log (c (d+e x^n)^p)}{(f+g x)^2} \, dx\)
3.218
\(\int \frac{\log (c (d+e x^n)^p)}{(f+g x)^3} \, dx\)
3.219
\(\int \frac{x^3 \log (c (a+b x)^p)}{d+e x} \, dx\)
3.220
\(\int \frac{x^2 \log (c (a+b x)^p)}{d+e x} \, dx\)
3.221
\(\int \frac{x \log (c (a+b x)^p)}{d+e x} \, dx\)
3.222
\(\int \frac{\log (c (a+b x)^p)}{d+e x} \, dx\)
3.223
\(\int \frac{\log (c (a+b x)^p)}{x (d+e x)} \, dx\)
3.224
\(\int \frac{\log (c (a+b x)^p)}{x^2 (d+e x)} \, dx\)
3.225
\(\int \frac{\log (c (a+b x)^p)}{x^3 (d+e x)} \, dx\)
3.226
\(\int \frac{x^3 \log (c (a+b x^2)^p)}{d+e x} \, dx\)
3.227
\(\int \frac{x^2 \log (c (a+b x^2)^p)}{d+e x} \, dx\)
3.228
\(\int \frac{x \log (c (a+b x^2)^p)}{d+e x} \, dx\)
3.229
\(\int \frac{\log (c (a+b x^2)^p)}{d+e x} \, dx\)
3.230
\(\int \frac{\log (c (a+b x^2)^p)}{x (d+e x)} \, dx\)
3.231
\(\int \frac{\log (c (a+b x^2)^p)}{x^2 (d+e x)} \, dx\)
3.232
\(\int \frac{\log (c (a+b x^2)^p)}{x^3 (d+e x)} \, dx\)
3.233
\(\int \frac{x^3 \log (c (a+b x^3)^p)}{d+e x} \, dx\)
3.234
\(\int \frac{x^2 \log (c (a+b x^3)^p)}{d+e x} \, dx\)
3.235
\(\int \frac{x \log (c (a+b x^3)^p)}{d+e x} \, dx\)
3.236
\(\int \frac{\log (c (a+b x^3)^p)}{d+e x} \, dx\)
3.237
\(\int \frac{\log (c (a+b x^3)^p)}{x (d+e x)} \, dx\)
3.238
\(\int \frac{\log (c (a+b x^3)^p)}{x^2 (d+e x)} \, dx\)
3.239
\(\int \frac{\log (c (a+b x^3)^p)}{x^3 (d+e x)} \, dx\)
3.240
\(\int \frac{x^3 \log (c (a+\frac{b}{x})^p)}{d+e x} \, dx\)
3.241
\(\int \frac{x^2 \log (c (a+\frac{b}{x})^p)}{d+e x} \, dx\)
3.242
\(\int \frac{x \log (c (a+\frac{b}{x})^p)}{d+e x} \, dx\)
3.243
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{d+e x} \, dx\)
3.244
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x (d+e x)} \, dx\)
3.245
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x^2 (d+e x)} \, dx\)
3.246
\(\int \frac{\log (c (a+\frac{b}{x})^p)}{x^3 (d+e x)} \, dx\)
3.247
\(\int \frac{x^3 \log (c (a+\frac{b}{x^2})^p)}{d+e x} \, dx\)
3.248
\(\int \frac{x^2 \log (c (a+\frac{b}{x^2})^p)}{d+e x} \, dx\)
3.249
\(\int \frac{x \log (c (a+\frac{b}{x^2})^p)}{d+e x} \, dx\)
3.250
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{d+e x} \, dx\)
3.251
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x (d+e x)} \, dx\)
3.252
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x^2 (d+e x)} \, dx\)
3.253
\(\int \frac{\log (c (a+\frac{b}{x^2})^p)}{x^3 (d+e x)} \, dx\)
3.254
\(\int \frac{x^3 \log (c (a+\frac{b}{x^3})^p)}{d+e x} \, dx\)
3.255
\(\int \frac{x^2 \log (c (a+\frac{b}{x^3})^p)}{d+e x} \, dx\)
3.256
\(\int \frac{x \log (c (a+\frac{b}{x^3})^p)}{d+e x} \, dx\)
3.257
\(\int \frac{\log (c (a+\frac{b}{x^3})^p)}{d+e x} \, dx\)
3.258
\(\int \frac{\log (c (a+\frac{b}{x^3})^p)}{x (d+e x)} \, dx\)
3.259
\(\int \frac{\log (c (a+\frac{b}{x^3})^p)}{x^2 (d+e x)} \, dx\)
3.260
\(\int \frac{\log (c (a+\frac{b}{x^3})^p)}{x^3 (d+e x)} \, dx\)
3.261
\(\int \frac{\log (c (d+e x^3)^p)}{f+g x^2} \, dx\)
3.262
\(\int \frac{\log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.263
\(\int \frac{\log (c (d+e x)^p)}{f+g x^2} \, dx\)
3.264
\(\int \frac{\log (c (d+\frac{e}{x})^p)}{f+g x^2} \, dx\)
3.265
\(\int \frac{\log (c (d+\frac{e}{x^2})^p)}{f+g x^2} \, dx\)
3.266
\(\int \frac{\log (c (d+e \sqrt{x})^p)}{f+g x^2} \, dx\)
3.267
\(\int \frac{\log (c (d+\frac{e}{\sqrt{x}})^p)}{f+g x^2} \, dx\)
3.268
\(\int (f+g x^2)^3 \log (c (d+e x^2)^p) \, dx\)
3.269
\(\int (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\)
3.270
\(\int (f+g x^2) \log (c (d+e x^2)^p) \, dx\)
3.271
\(\int \frac{\log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.272
\(\int \frac{\log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.273
\(\int (f+g x^2)^2 \log ^2(c (d+e x^2)^p) \, dx\)
3.274
\(\int (f+g x^2) \log ^2(c (d+e x^2)^p) \, dx\)
3.275
\(\int \frac{\log ^2(c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.276
\(\int \frac{\log ^2(c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.277
\(\int (f+g x^2) \log ^3(c (d+e x^2)^p) \, dx\)
3.278
\(\int \frac{\log ^3(c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.279
\(\int \frac{\log ^3(c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.280
\(\int \frac{(f+g x^2)^2}{\log (c (d+e x^2)^p)} \, dx\)
3.281
\(\int \frac{f+g x^2}{\log (c (d+e x^2)^p)} \, dx\)
3.282
\(\int \frac{1}{(f+g x^2) \log (c (d+e x^2)^p)} \, dx\)
3.283
\(\int \frac{1}{(f+g x^2)^2 \log (c (d+e x^2)^p)} \, dx\)
3.284
\(\int \frac{(f+g x^2)^2}{\log ^2(c (d+e x^2)^p)} \, dx\)
3.285
\(\int \frac{f+g x^2}{\log ^2(c (d+e x^2)^p)} \, dx\)
3.286
\(\int \frac{1}{(f+g x^2) \log ^2(c (d+e x^2)^p)} \, dx\)
3.287
\(\int \frac{1}{(f+g x^2)^2 \log ^2(c (d+e x^2)^p)} \, dx\)
3.288
\(\int (f+g x^3)^3 \log (c (d+e x^2)^p) \, dx\)
3.289
\(\int (f+g x^3)^2 \log (c (d+e x^2)^p) \, dx\)
3.290
\(\int (f+g x^3) \log (c (d+e x^2)^p) \, dx\)
3.291
\(\int \frac{\log (c (d+e x^2)^p)}{f+g x^3} \, dx\)
3.292
\(\int \frac{\log (c (d+e x^2)^p)}{(f+g x^3)^2} \, dx\)
3.293
\(\int (f+g x^3)^3 \log ^2(c (d+e x^2)^p) \, dx\)
3.294
\(\int (f+g x^3)^2 \log ^2(c (d+e x^2)^p) \, dx\)
3.295
\(\int (f+g x^3) \log ^2(c (d+e x^2)^p) \, dx\)
3.296
\(\int \frac{\log ^2(c (d+e x^2)^p)}{f+g x^3} \, dx\)
3.297
\(\int \frac{\log ^2(c (d+e x^2)^p)}{(f+g x^3)^2} \, dx\)
3.298
\(\int (f+g x^3)^2 \log ^3(c (d+e x^2)^p) \, dx\)
3.299
\(\int (f+g x^3) \log ^3(c (d+e x^2)^p) \, dx\)
3.300
\(\int \frac{\log ^3(c (d+e x^2)^p)}{f+g x^3} \, dx\)
3.301
\(\int \frac{\log ^3(c (d+e x^2)^p)}{(f+g x^3)^2} \, dx\)
3.302
\(\int \frac{(f+g x^3)^2}{\log (c (d+e x^2)^p)} \, dx\)
3.303
\(\int \frac{f+g x^3}{\log (c (d+e x^2)^p)} \, dx\)
3.304
\(\int \frac{1}{(f+g x^3) \log (c (d+e x^2)^p)} \, dx\)
3.305
\(\int \frac{1}{(f+g x^3)^2 \log (c (d+e x^2)^p)} \, dx\)
3.306
\(\int \frac{(f+g x^3)^2}{\log ^2(c (d+e x^2)^p)} \, dx\)
3.307
\(\int \frac{f+g x^3}{\log ^2(c (d+e x^2)^p)} \, dx\)
3.308
\(\int \frac{1}{(f+g x^3) \log ^2(c (d+e x^2)^p)} \, dx\)
3.309
\(\int \frac{1}{(f+g x^3)^2 \log ^2(c (d+e x^2)^p)} \, dx\)
3.310
\(\int x^5 (f+g x^2) \log (c (d+e x^2)^p) \, dx\)
3.311
\(\int x^3 (f+g x^2) \log (c (d+e x^2)^p) \, dx\)
3.312
\(\int x (f+g x^2) \log (c (d+e x^2)^p) \, dx\)
3.313
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x} \, dx\)
3.314
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^3} \, dx\)
3.315
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^5} \, dx\)
3.316
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^7} \, dx\)
3.317
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^9} \, dx\)
3.318
\(\int x^2 (f+g x^2) \log (c (d+e x^2)^p) \, dx\)
3.319
\(\int (f+g x^2) \log (c (d+e x^2)^p) \, dx\)
3.320
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^2} \, dx\)
3.321
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^4} \, dx\)
3.322
\(\int \frac{(f+g x^2) \log (c (d+e x^2)^p)}{x^6} \, dx\)
3.323
\(\int x^5 (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\)
3.324
\(\int x^3 (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\)
3.325
\(\int x (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\)
3.326
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x} \, dx\)
3.327
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^3} \, dx\)
3.328
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^5} \, dx\)
3.329
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^7} \, dx\)
3.330
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^9} \, dx\)
3.331
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^{11}} \, dx\)
3.332
\(\int x^2 (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\)
3.333
\(\int (f+g x^2)^2 \log (c (d+e x^2)^p) \, dx\)
3.334
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^2} \, dx\)
3.335
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^4} \, dx\)
3.336
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^6} \, dx\)
3.337
\(\int \frac{(f+g x^2)^2 \log (c (d+e x^2)^p)}{x^8} \, dx\)
3.338
\(\int \frac{x^5 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.339
\(\int \frac{x^3 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.340
\(\int \frac{x \log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.341
\(\int \frac{\log (c (d+e x^2)^p)}{x (f+g x^2)} \, dx\)
3.342
\(\int \frac{\log (c (d+e x^2)^p)}{x^3 (f+g x^2)} \, dx\)
3.343
\(\int \frac{x^4 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.344
\(\int \frac{x^2 \log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.345
\(\int \frac{\log (c (d+e x^2)^p)}{f+g x^2} \, dx\)
3.346
\(\int \frac{\log (c (d+e x^2)^p)}{x^2 (f+g x^2)} \, dx\)
3.347
\(\int \frac{\log (c (d+e x^2)^p)}{x^4 (f+g x^2)} \, dx\)
3.348
\(\int \frac{x^5 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.349
\(\int \frac{x^3 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.350
\(\int \frac{x \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.351
\(\int \frac{\log (c (d+e x^2)^p)}{x (f+g x^2)^2} \, dx\)
3.352
\(\int \frac{\log (c (d+e x^2)^p)}{x^3 (f+g x^2)^2} \, dx\)
3.353
\(\int \frac{x^4 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.354
\(\int \frac{x^2 \log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.355
\(\int \frac{\log (c (d+e x^2)^p)}{(f+g x^2)^2} \, dx\)
3.356
\(\int \frac{\log (c (d+e x^2)^p)}{x^2 (f+g x^2)^2} \, dx\)
3.357
\(\int \frac{\log (c (a+b x^2)^n)}{a+b x^2} \, dx\)
3.358
\(\int \frac{\log (1-x^2)}{2-x^2} \, dx\)
3.359
\(\int \frac{\log (d+e x^2)}{1-x^2} \, dx\)
3.360
\(\int \frac{(f+g x^{3 n}) \log (c (d+e x^n)^p)}{x} \, dx\)
3.361
\(\int \frac{(f+g x^{2 n}) \log (c (d+e x^n)^p)}{x} \, dx\)
3.362
\(\int \frac{(f+g x^n) \log (c (d+e x^n)^p)}{x} \, dx\)
3.363
\(\int \frac{(f+g x^{-n}) \log (c (d+e x^n)^p)}{x} \, dx\)
3.364
\(\int \frac{(f+g x^{-2 n}) \log (c (d+e x^n)^p)}{x} \, dx\)
3.365
\(\int \frac{(f+g x^{3 n})^2 \log (c (d+e x^n)^p)}{x} \, dx\)
3.366
\(\int \frac{(f+g x^{2 n})^2 \log (c (d+e x^n)^p)}{x} \, dx\)
3.367
\(\int \frac{(f+g x^n)^2 \log (c (d+e x^n)^p)}{x} \, dx\)
3.368
\(\int \frac{(f+g x^{-n})^2 \log (c (d+e x^n)^p)}{x} \, dx\)
3.369
\(\int \frac{(f+g x^{-2 n})^2 \log (c (d+e x^n)^p)}{x} \, dx\)
3.370
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^{2 n})} \, dx\)
3.371
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^n)} \, dx\)
3.372
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^{-n})} \, dx\)
3.373
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^{-2 n})} \, dx\)
3.374
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^{2 n})^2} \, dx\)
3.375
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^n)^2} \, dx\)
3.376
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^{-n})^2} \, dx\)
3.377
\(\int \frac{\log (c (d+e x^n)^p)}{x (f+g x^{-2 n})^2} \, dx\)
3.378
\(\int \frac{\log (c (d+e x^n))}{x (c e-(1-c d) x^{-n})} \, dx\)
3.379
\(\int \frac{x^{-1+n} \log (c (d+e x^n))}{-1+c d+c e x^n} \, dx\)
3.380
\(\int \frac{\log (c (d+e x^{-n}))}{x (c e-(1-c d) x^n)} \, dx\)
3.381
\(\int \frac{(f+g x^{2 n})^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\)
3.382
\(\int \frac{(f+g x^n)^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\)
3.383
\(\int \frac{(f+g x^{-n})^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\)
3.384
\(\int \frac{(f+g x^{-2 n})^2 \log ^q(c (d+e x^n)^p)}{x} \, dx\)
3.385
\(\int \frac{\log ^q(c (d+e x^n)^p)}{x (f+g x^{2 n})} \, dx\)
3.386
\(\int \frac{\log ^q(c (d+e x^n)^p)}{x (f+g x^n)} \, dx\)
3.387
\(\int \frac{\log ^q(c (d+e x^n)^p)}{x (f+g x^{-n})} \, dx\)
3.388
\(\int \frac{\log ^q(c (d+e x^n)^p)}{x (f+g x^{-2 n})} \, dx\)
3.389
\(\int \frac{\log (x) \log (d+e x^m)}{x} \, dx\)
3.390
\(\int \frac{\log (\frac{a+x}{x})}{x} \, dx\)
3.391
\(\int \frac{\log (\frac{a+x^2}{x^2})}{x} \, dx\)
3.392
\(\int \frac{\log (x^{-n} (a+x^n))}{x} \, dx\)
3.393
\(\int \frac{\log (\frac{a+b x}{x})}{x} \, dx\)
3.394
\(\int \frac{\log (\frac{a+b x^2}{x^2})}{x} \, dx\)
3.395
\(\int \frac{\log (x^{-n} (a+b x^n))}{x} \, dx\)
3.396
\(\int \frac{\log (\frac{a+b x}{x})}{c+d x} \, dx\)
3.397
\(\int \frac{\log (\frac{a+b x^2}{x^2})}{c+d x} \, dx\)
3.398
\(\int \frac{\log (x^{-n} (a+b x^n))}{c+d x} \, dx\)
3.399
\(\int (f x)^q (a+b \log (c (d+e x^m)^n)) \, dx\)
3.400
\(\int x^3 (a+b \log (c (d+e \sqrt{x})^n)) \, dx\)
3.401
\(\int x^2 (a+b \log (c (d+e \sqrt{x})^n)) \, dx\)
3.402
\(\int x (a+b \log (c (d+e \sqrt{x})^n)) \, dx\)
3.403
\(\int (a+b \log (c (d+e \sqrt{x})^n)) \, dx\)
3.404
\(\int \frac{a+b \log (c (d+e \sqrt{x})^n)}{x} \, dx\)
3.405
\(\int \frac{a+b \log (c (d+e \sqrt{x})^n)}{x^2} \, dx\)
3.406
\(\int \frac{a+b \log (c (d+e \sqrt{x})^n)}{x^3} \, dx\)
3.407
\(\int \frac{a+b \log (c (d+e \sqrt{x})^n)}{x^4} \, dx\)
3.408
\(\int x^2 (a+b \log (c (d+e \sqrt{x})^n))^2 \, dx\)
3.409
\(\int x (a+b \log (c (d+e \sqrt{x})^n))^2 \, dx\)
3.410
\(\int (a+b \log (c (d+e \sqrt{x})^n))^2 \, dx\)
3.411
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^2}{x} \, dx\)
3.412
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^2}{x^2} \, dx\)
3.413
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^2}{x^3} \, dx\)
3.414
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^2}{x^4} \, dx\)
3.415
\(\int x^2 (a+b \log (c (d+e \sqrt{x})^n))^3 \, dx\)
3.416
\(\int x (a+b \log (c (d+e \sqrt{x})^n))^3 \, dx\)
3.417
\(\int (a+b \log (c (d+e \sqrt{x})^n))^3 \, dx\)
3.418
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^3}{x} \, dx\)
3.419
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^3}{x^2} \, dx\)
3.420
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^n))^3}{x^3} \, dx\)
3.421
\(\int x^3 (a+b \log (c (d+\frac{e}{\sqrt{x}})^n)) \, dx\)
3.422
\(\int x^2 (a+b \log (c (d+\frac{e}{\sqrt{x}})^n)) \, dx\)
3.423
\(\int x (a+b \log (c (d+\frac{e}{\sqrt{x}})^n)) \, dx\)
3.424
\(\int (a+b \log (c (d+\frac{e}{\sqrt{x}})^n)) \, dx\)
3.425
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt{x}})^n)}{x} \, dx\)
3.426
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt{x}})^n)}{x^2} \, dx\)
3.427
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt{x}})^n)}{x^3} \, dx\)
3.428
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt{x}})^n)}{x^4} \, dx\)
3.429
\(\int x^2 (a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2 \, dx\)
3.430
\(\int x (a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2 \, dx\)
3.431
\(\int (a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2 \, dx\)
3.432
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2}{x} \, dx\)
3.433
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2}{x^2} \, dx\)
3.434
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2}{x^3} \, dx\)
3.435
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^2}{x^4} \, dx\)
3.436
\(\int x (a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^3 \, dx\)
3.437
\(\int (a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^3 \, dx\)
3.438
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^3}{x} \, dx\)
3.439
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^3}{x^2} \, dx\)
3.440
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^3}{x^3} \, dx\)
3.441
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^n))^3}{x^4} \, dx\)
3.442
\(\int x^3 (a+b \log (c (d+e \sqrt [3]{x})^n)) \, dx\)
3.443
\(\int x^2 (a+b \log (c (d+e \sqrt [3]{x})^n)) \, dx\)
3.444
\(\int x (a+b \log (c (d+e \sqrt [3]{x})^n)) \, dx\)
3.445
\(\int (a+b \log (c (d+e \sqrt [3]{x})^n)) \, dx\)
3.446
\(\int \frac{a+b \log (c (d+e \sqrt [3]{x})^n)}{x} \, dx\)
3.447
\(\int \frac{a+b \log (c (d+e \sqrt [3]{x})^n)}{x^2} \, dx\)
3.448
\(\int \frac{a+b \log (c (d+e \sqrt [3]{x})^n)}{x^3} \, dx\)
3.449
\(\int \frac{a+b \log (c (d+e \sqrt [3]{x})^n)}{x^4} \, dx\)
3.450
\(\int x^2 (a+b \log (c (d+e \sqrt [3]{x})^n))^2 \, dx\)
3.451
\(\int x (a+b \log (c (d+e \sqrt [3]{x})^n))^2 \, dx\)
3.452
\(\int (a+b \log (c (d+e \sqrt [3]{x})^n))^2 \, dx\)
3.453
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^n))^2}{x} \, dx\)
3.454
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^n))^2}{x^2} \, dx\)
3.455
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^n))^2}{x^3} \, dx\)
3.456
\(\int x^3 (a+b \log (c (d+e \sqrt [3]{x})^n))^3 \, dx\)
3.457
\(\int x^2 (a+b \log (c (d+e \sqrt [3]{x})^n))^3 \, dx\)
3.458
\(\int x (a+b \log (c (d+e \sqrt [3]{x})^n))^3 \, dx\)
3.459
\(\int (a+b \log (c (d+e \sqrt [3]{x})^n))^3 \, dx\)
3.460
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^n))^3}{x} \, dx\)
3.461
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^n))^3}{x^2} \, dx\)
3.462
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^n))^3}{x^3} \, dx\)
3.463
\(\int x^3 (a+b \log (c (d+e x^{2/3})^n)) \, dx\)
3.464
\(\int x^2 (a+b \log (c (d+e x^{2/3})^n)) \, dx\)
3.465
\(\int x (a+b \log (c (d+e x^{2/3})^n)) \, dx\)
3.466
\(\int (a+b \log (c (d+e x^{2/3})^n)) \, dx\)
3.467
\(\int \frac{a+b \log (c (d+e x^{2/3})^n)}{x} \, dx\)
3.468
\(\int \frac{a+b \log (c (d+e x^{2/3})^n)}{x^2} \, dx\)
3.469
\(\int \frac{a+b \log (c (d+e x^{2/3})^n)}{x^3} \, dx\)
3.470
\(\int \frac{a+b \log (c (d+e x^{2/3})^n)}{x^4} \, dx\)
3.471
\(\int x^3 (a+b \log (c (d+e x^{2/3})^n))^2 \, dx\)
3.472
\(\int x (a+b \log (c (d+e x^{2/3})^n))^2 \, dx\)
3.473
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^2}{x} \, dx\)
3.474
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^2}{x^3} \, dx\)
3.475
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^2}{x^5} \, dx\)
3.476
\(\int x^2 (a+b \log (c (d+e x^{2/3})^n))^2 \, dx\)
3.477
\(\int (a+b \log (c (d+e x^{2/3})^n))^2 \, dx\)
3.478
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^2}{x^2} \, dx\)
3.479
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^2}{x^4} \, dx\)
3.480
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^2}{x^6} \, dx\)
3.481
\(\int x^3 (a+b \log (c (d+e x^{2/3})^n))^3 \, dx\)
3.482
\(\int x (a+b \log (c (d+e x^{2/3})^n))^3 \, dx\)
3.483
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^3}{x} \, dx\)
3.484
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^3}{x^3} \, dx\)
3.485
\(\int x^2 (a+b \log (c (d+e x^{2/3})^n))^3 \, dx\)
3.486
\(\int (a+b \log (c (d+e x^{2/3})^n))^3 \, dx\)
3.487
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^3}{x^2} \, dx\)
3.488
\(\int \frac{(a+b \log (c (d+e x^{2/3})^n))^3}{x^4} \, dx\)
3.489
\(\int x^3 (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)) \, dx\)
3.490
\(\int x^2 (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)) \, dx\)
3.491
\(\int x (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)) \, dx\)
3.492
\(\int (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)) \, dx\)
3.493
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)}{x} \, dx\)
3.494
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)}{x^2} \, dx\)
3.495
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)}{x^3} \, dx\)
3.496
\(\int \frac{a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n)}{x^4} \, dx\)
3.497
\(\int x^2 (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^2 \, dx\)
3.498
\(\int x (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^2 \, dx\)
3.499
\(\int (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^2 \, dx\)
3.500
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^2}{x} \, dx\)
3.501
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^2}{x^2} \, dx\)
3.502
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^2}{x^3} \, dx\)
3.503
\(\int x (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^3 \, dx\)
3.504
\(\int (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^3 \, dx\)
3.505
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^3}{x} \, dx\)
3.506
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^3}{x^2} \, dx\)
3.507
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^n))^3}{x^3} \, dx\)
3.508
\(\int x^3 (a+b \log (c (d+\frac{e}{x^{2/3}})^n)) \, dx\)
3.509
\(\int x^2 (a+b \log (c (d+\frac{e}{x^{2/3}})^n)) \, dx\)
3.510
\(\int x (a+b \log (c (d+\frac{e}{x^{2/3}})^n)) \, dx\)
3.511
\(\int (a+b \log (c (d+\frac{e}{x^{2/3}})^n)) \, dx\)
3.512
\(\int \frac{a+b \log (c (d+\frac{e}{x^{2/3}})^n)}{x} \, dx\)
3.513
\(\int \frac{a+b \log (c (d+\frac{e}{x^{2/3}})^n)}{x^2} \, dx\)
3.514
\(\int \frac{a+b \log (c (d+\frac{e}{x^{2/3}})^n)}{x^3} \, dx\)
3.515
\(\int \frac{a+b \log (c (d+\frac{e}{x^{2/3}})^n)}{x^4} \, dx\)
3.516
\(\int x^3 (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2 \, dx\)
3.517
\(\int x (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2 \, dx\)
3.518
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2}{x} \, dx\)
3.519
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2}{x^3} \, dx\)
3.520
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2}{x^5} \, dx\)
3.521
\(\int x^2 (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2 \, dx\)
3.522
\(\int (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2 \, dx\)
3.523
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^2}{x^2} \, dx\)
3.524
\(\int x^3 (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3 \, dx\)
3.525
\(\int x (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3 \, dx\)
3.526
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3}{x} \, dx\)
3.527
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3}{x^3} \, dx\)
3.528
\(\int x^2 (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3 \, dx\)
3.529
\(\int (a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3 \, dx\)
3.530
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3}{x^2} \, dx\)
3.531
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^n))^3}{x^4} \, dx\)
3.532
\(\int x^3 (a+b \log (c (d+e \sqrt{x})))^p \, dx\)
3.533
\(\int x^2 (a+b \log (c (d+e \sqrt{x})))^p \, dx\)
3.534
\(\int x (a+b \log (c (d+e \sqrt{x})))^p \, dx\)
3.535
\(\int (a+b \log (c (d+e \sqrt{x})))^p \, dx\)
3.536
\(\int \frac{(a+b \log (c (d+e \sqrt{x})))^p}{x} \, dx\)
3.537
\(\int \frac{(a+b \log (c (d+e \sqrt{x})))^p}{x^2} \, dx\)
3.538
\(\int x^3 (a+b \log (c (d+e \sqrt{x})^2))^p \, dx\)
3.539
\(\int x^2 (a+b \log (c (d+e \sqrt{x})^2))^p \, dx\)
3.540
\(\int x (a+b \log (c (d+e \sqrt{x})^2))^p \, dx\)
3.541
\(\int (a+b \log (c (d+e \sqrt{x})^2))^p \, dx\)
3.542
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^2))^p}{x} \, dx\)
3.543
\(\int \frac{(a+b \log (c (d+e \sqrt{x})^2))^p}{x^2} \, dx\)
3.544
\(\int x (a+b \log (c (d+\frac{e}{\sqrt{x}})))^p \, dx\)
3.545
\(\int (a+b \log (c (d+\frac{e}{\sqrt{x}})))^p \, dx\)
3.546
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})))^p}{x} \, dx\)
3.547
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})))^p}{x^2} \, dx\)
3.548
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})))^p}{x^4} \, dx\)
3.549
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})))^p}{x^6} \, dx\)
3.550
\(\int x (a+b \log (c (d+\frac{e}{\sqrt{x}})^2))^p \, dx\)
3.551
\(\int (a+b \log (c (d+\frac{e}{\sqrt{x}})^2))^p \, dx\)
3.552
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^2))^p}{x} \, dx\)
3.553
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^2))^p}{x^2} \, dx\)
3.554
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^2))^p}{x^4} \, dx\)
3.555
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt{x}})^2))^p}{x^6} \, dx\)
3.556
\(\int x^3 (a+b \log (c (d+e \sqrt [3]{x})))^p \, dx\)
3.557
\(\int x^2 (a+b \log (c (d+e \sqrt [3]{x})))^p \, dx\)
3.558
\(\int x (a+b \log (c (d+e \sqrt [3]{x})))^p \, dx\)
3.559
\(\int (a+b \log (c (d+e \sqrt [3]{x})))^p \, dx\)
3.560
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})))^p}{x} \, dx\)
3.561
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})))^p}{x^2} \, dx\)
3.562
\(\int x^3 (a+b \log (c (d+e \sqrt [3]{x})^2))^p \, dx\)
3.563
\(\int x^2 (a+b \log (c (d+e \sqrt [3]{x})^2))^p \, dx\)
3.564
\(\int x (a+b \log (c (d+e \sqrt [3]{x})^2))^p \, dx\)
3.565
\(\int (a+b \log (c (d+e \sqrt [3]{x})^2))^p \, dx\)
3.566
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^2))^p}{x} \, dx\)
3.567
\(\int \frac{(a+b \log (c (d+e \sqrt [3]{x})^2))^p}{x^2} \, dx\)
3.568
\(\int x^3 (a+b \log (c (d+e x^{2/3})))^p \, dx\)
3.569
\(\int x (a+b \log (c (d+e x^{2/3})))^p \, dx\)
3.570
\(\int \frac{(a+b \log (c (d+e x^{2/3})))^p}{x} \, dx\)
3.571
\(\int \frac{(a+b \log (c (d+e x^{2/3})))^p}{x^3} \, dx\)
3.572
\(\int x^2 (a+b \log (c (d+e x^{2/3})))^p \, dx\)
3.573
\(\int (a+b \log (c (d+e x^{2/3})))^p \, dx\)
3.574
\(\int \frac{(a+b \log (c (d+e x^{2/3})))^p}{x^2} \, dx\)
3.575
\(\int x^3 (a+b \log (c (d+e x^{2/3})^2))^p \, dx\)
3.576
\(\int x (a+b \log (c (d+e x^{2/3})^2))^p \, dx\)
3.577
\(\int \frac{(a+b \log (c (d+e x^{2/3})^2))^p}{x} \, dx\)
3.578
\(\int \frac{(a+b \log (c (d+e x^{2/3})^2))^p}{x^3} \, dx\)
3.579
\(\int x^2 (a+b \log (c (d+e x^{2/3})^2))^p \, dx\)
3.580
\(\int (a+b \log (c (d+e x^{2/3})^2))^p \, dx\)
3.581
\(\int \frac{(a+b \log (c (d+e x^{2/3})^2))^p}{x^2} \, dx\)
3.582
\(\int x (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})))^p \, dx\)
3.583
\(\int (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})))^p \, dx\)
3.584
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})))^p}{x} \, dx\)
3.585
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})))^p}{x^2} \, dx\)
3.586
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})))^p}{x^3} \, dx\)
3.587
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})))^p}{x^4} \, dx\)
3.588
\(\int x (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^2))^p \, dx\)
3.589
\(\int (a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^2))^p \, dx\)
3.590
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^2))^p}{x} \, dx\)
3.591
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^2))^p}{x^2} \, dx\)
3.592
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^2))^p}{x^3} \, dx\)
3.593
\(\int \frac{(a+b \log (c (d+\frac{e}{\sqrt [3]{x}})^2))^p}{x^4} \, dx\)
3.594
\(\int x^3 (a+b \log (c (d+\frac{e}{x^{2/3}})))^p \, dx\)
3.595
\(\int x^2 (a+b \log (c (d+\frac{e}{x^{2/3}})))^p \, dx\)
3.596
\(\int x (a+b \log (c (d+\frac{e}{x^{2/3}})))^p \, dx\)
3.597
\(\int (a+b \log (c (d+\frac{e}{x^{2/3}})))^p \, dx\)
3.598
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})))^p}{x} \, dx\)
3.599
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})))^p}{x^2} \, dx\)
3.600
\(\int x^3 (a+b \log (c (d+\frac{e}{x^{2/3}})^2))^p \, dx\)
3.601
\(\int x^2 (a+b \log (c (d+\frac{e}{x^{2/3}})^2))^p \, dx\)
3.602
\(\int x (a+b \log (c (d+\frac{e}{x^{2/3}})^2))^p \, dx\)
3.603
\(\int (a+b \log (c (d+\frac{e}{x^{2/3}})^2))^p \, dx\)
3.604
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^2))^p}{x} \, dx\)
3.605
\(\int \frac{(a+b \log (c (d+\frac{e}{x^{2/3}})^2))^p}{x^2} \, dx\)
3.606
\(\int \frac{(f+g x) (a+b \log (c (d+e x^2)^p))}{\sqrt{h x}} \, dx\)
3.607
\(\int \frac{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{3/2}} \, dx\)
3.608
\(\int \frac{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{5/2}} \, dx\)
3.609
\(\int \frac{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{7/2}} \, dx\)
3.610
\(\int \frac{(f+g x) (a+b \log (c (d+e x^2)^p))}{(h x)^{9/2}} \, dx\)
3.611
\(\int \frac{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{\sqrt{h x}} \, dx\)
3.612
\(\int \frac{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{3/2}} \, dx\)
3.613
\(\int \frac{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{5/2}} \, dx\)
3.614
\(\int \frac{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{7/2}} \, dx\)
3.615
\(\int \frac{(f+g x)^2 (a+b \log (c (d+e x^2)^p))}{(h x)^{9/2}} \, dx\)
3.616
\(\int \frac{\sqrt{h x} (a+b \log (c (d+e x^2)^p))}{f+g x} \, dx\)
3.617
\(\int \frac{a+b \log (c (d+e x^2)^p)}{\sqrt{h x} (f+g x)} \, dx\)
3.618
\(\int \frac{a+b \log (c (d+e x^2)^p)}{(h x)^{3/2} (f+g x)} \, dx\)
3.619
\(\int \frac{\log (f x^p) \log (1+e x^m)}{x} \, dx\)
3.620
\(\int \frac{x^{-1+m} \log ^2(f x^p)}{d+e x^m} \, dx\)
3.621
\(\int \frac{\log ^3(f x^p) (a+b \log (c (d+e x^m)^n))}{x} \, dx\)
3.622
\(\int \frac{\log ^2(f x^p) (a+b \log (c (d+e x^m)^n))}{x} \, dx\)
3.623
\(\int \frac{\log (f x^p) (a+b \log (c (d+e x^m)^n))}{x} \, dx\)
3.624
\(\int \frac{a+b \log (c (d+e x^m)^n)}{x} \, dx\)
3.625
\(\int \frac{a+b \log (c (d+e x^m)^n)}{x \log (f x^p)} \, dx\)
3.626
\(\int \frac{a+b \log (c (d+e x^m)^n)}{x \log ^2(f x^p)} \, dx\)
3.627
\(\int \frac{a+b \log (c (d+e x^m)^n)}{x \log ^3(f x^p)} \, dx\)
3.628
\(\int \log (c (d+e (f+g x)^p)^q) \, dx\)
3.629
\(\int \log (c (d+e (f+g x)^3)^q) \, dx\)
3.630
\(\int \log (c (d+e (f+g x)^2)^q) \, dx\)
3.631
\(\int \log (c (d+e (f+g x))^q) \, dx\)
3.632
\(\int \log (c (d+\frac{e}{f+g x})^q) \, dx\)
3.633
\(\int \log (c (d+\frac{e}{(f+g x)^2})^q) \, dx\)
3.634
\(\int \log (c (d+\frac{e}{(f+g x)^3})^q) \, dx\)
3.635
\(\int (a+b \log (c (d+\frac{e}{f+g x})^p))^n \, dx\)
3.636
\(\int (a+b \log (c (d+\frac{e}{f+g x})^p))^4 \, dx\)
3.637
\(\int (a+b \log (c (d+\frac{e}{f+g x})^p))^3 \, dx\)
3.638
\(\int (a+b \log (c (d+\frac{e}{f+g x})^p))^2 \, dx\)
3.639
\(\int (a+b \log (c (d+\frac{e}{f+g x})^p)) \, dx\)
3.640
\(\int \frac{1}{a+b \log (c (d+\frac{e}{f+g x})^p)} \, dx\)
3.641
\(\int \frac{1}{(a+b \log (c (d+\frac{e}{f+g x})^p))^2} \, dx\)
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