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Chapter 3
Listing of integrals
3.1
\(\int \frac{a+b \log (c x^n)}{d+e x+f x^2} \, dx\)
3.2
\(\int x^3 (a+b \log (c x^n)) \log (1+e x) \, dx\)
3.3
\(\int x^2 (a+b \log (c x^n)) \log (1+e x) \, dx\)
3.4
\(\int x (a+b \log (c x^n)) \log (1+e x) \, dx\)
3.5
\(\int (a+b \log (c x^n)) \log (1+e x) \, dx\)
3.6
\(\int \frac{(a+b \log (c x^n)) \log (1+e x)}{x} \, dx\)
3.7
\(\int \frac{(a+b \log (c x^n)) \log (1+e x)}{x^2} \, dx\)
3.8
\(\int \frac{(a+b \log (c x^n)) \log (1+e x)}{x^3} \, dx\)
3.9
\(\int \frac{(a+b \log (c x^n)) \log (1+e x)}{x^4} \, dx\)
3.10
\(\int x^3 (a+b \log (c x^n))^2 \log (1+e x) \, dx\)
3.11
\(\int x^2 (a+b \log (c x^n))^2 \log (1+e x) \, dx\)
3.12
\(\int x (a+b \log (c x^n))^2 \log (1+e x) \, dx\)
3.13
\(\int (a+b \log (c x^n))^2 \log (1+e x) \, dx\)
3.14
\(\int \frac{(a+b \log (c x^n))^2 \log (1+e x)}{x} \, dx\)
3.15
\(\int \frac{(a+b \log (c x^n))^2 \log (1+e x)}{x^2} \, dx\)
3.16
\(\int \frac{(a+b \log (c x^n))^2 \log (1+e x)}{x^3} \, dx\)
3.17
\(\int x^3 (a+b \log (c x^n))^3 \log (1+e x) \, dx\)
3.18
\(\int x^2 (a+b \log (c x^n))^3 \log (1+e x) \, dx\)
3.19
\(\int x (a+b \log (c x^n))^3 \log (1+e x) \, dx\)
3.20
\(\int (a+b \log (c x^n))^3 \log (1+e x) \, dx\)
3.21
\(\int \frac{(a+b \log (c x^n))^3 \log (1+e x)}{x} \, dx\)
3.22
\(\int \frac{(a+b \log (c x^n))^3 \log (1+e x)}{x^2} \, dx\)
3.23
\(\int \frac{(a+b \log (c x^n))^3 \log (1+e x)}{x^3} \, dx\)
3.24
\(\int x^3 (a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.25
\(\int x (a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.26
\(\int \frac{(a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2))}{x} \, dx\)
3.27
\(\int \frac{(a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2))}{x^3} \, dx\)
3.28
\(\int x^2 (a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.29
\(\int (a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.30
\(\int \frac{(a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2))}{x^2} \, dx\)
3.31
\(\int \frac{(a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^2))}{x^4} \, dx\)
3.32
\(\int x^3 (a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.33
\(\int x (a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.34
\(\int \frac{(a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2))}{x} \, dx\)
3.35
\(\int \frac{(a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2))}{x^3} \, dx\)
3.36
\(\int x^2 (a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.37
\(\int (a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.38
\(\int \frac{(a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2))}{x^2} \, dx\)
3.39
\(\int \frac{(a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^2))}{x^4} \, dx\)
3.40
\(\int x^3 (a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.41
\(\int x (a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.42
\(\int \frac{(a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^2))}{x} \, dx\)
3.43
\(\int \frac{(a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^2))}{x^3} \, dx\)
3.44
\(\int (a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^2)) \, dx\)
3.45
\(\int \frac{(a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^2))}{x^2} \, dx\)
3.46
\(\int x^2 \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n)) \, dx\)
3.47
\(\int x \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n)) \, dx\)
3.48
\(\int \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n)) \, dx\)
3.49
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))}{x} \, dx\)
3.50
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))}{x^2} \, dx\)
3.51
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))}{x^3} \, dx\)
3.52
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))}{x^4} \, dx\)
3.53
\(\int x^2 \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^2 \, dx\)
3.54
\(\int x \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^2 \, dx\)
3.55
\(\int \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^2 \, dx\)
3.56
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^2}{x} \, dx\)
3.57
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^2}{x^2} \, dx\)
3.58
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^2}{x^3} \, dx\)
3.59
\(\int x \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^3 \, dx\)
3.60
\(\int \log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^3 \, dx\)
3.61
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^3}{x} \, dx\)
3.62
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^3}{x^2} \, dx\)
3.63
\(\int \frac{\log (d (\frac{1}{d}+f \sqrt{x})) (a+b \log (c x^n))^3}{x^3} \, dx\)
3.64
\(\int \frac{(a+b \log (c x^n))^4 \log (d (\frac{1}{d}+f x^m))}{x} \, dx\)
3.65
\(\int \frac{(a+b \log (c x^n))^3 \log (d (\frac{1}{d}+f x^m))}{x} \, dx\)
3.66
\(\int \frac{(a+b \log (c x^n))^2 \log (d (\frac{1}{d}+f x^m))}{x} \, dx\)
3.67
\(\int \frac{(a+b \log (c x^n)) \log (d (\frac{1}{d}+f x^m))}{x} \, dx\)
3.68
\(\int \frac{\log (d (\frac{1}{d}+f x^m))}{x (a+b \log (c x^n))} \, dx\)
3.69
\(\int \frac{\log (d (\frac{1}{d}+f x^m))}{x (a+b \log (c x^n))^2} \, dx\)
3.70
\(\int x^3 (a+b \log (c x^n)) \log (d (e+f x)^m) \, dx\)
3.71
\(\int x^2 (a+b \log (c x^n)) \log (d (e+f x)^m) \, dx\)
3.72
\(\int x (a+b \log (c x^n)) \log (d (e+f x)^m) \, dx\)
3.73
\(\int (a+b \log (c x^n)) \log (d (e+f x)^m) \, dx\)
3.74
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x)^m)}{x} \, dx\)
3.75
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x)^m)}{x^2} \, dx\)
3.76
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x)^m)}{x^3} \, dx\)
3.77
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x)^m)}{x^4} \, dx\)
3.78
\(\int x^2 (a+b \log (c x^n))^2 \log (d (e+f x)^m) \, dx\)
3.79
\(\int x (a+b \log (c x^n))^2 \log (d (e+f x)^m) \, dx\)
3.80
\(\int (a+b \log (c x^n))^2 \log (d (e+f x)^m) \, dx\)
3.81
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x)^m)}{x} \, dx\)
3.82
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x)^m)}{x^2} \, dx\)
3.83
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x)^m)}{x^3} \, dx\)
3.84
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x)^m)}{x^4} \, dx\)
3.85
\(\int x (a+b \log (c x^n))^3 \log (d (e+f x)^m) \, dx\)
3.86
\(\int (a+b \log (c x^n))^3 \log (d (e+f x)^m) \, dx\)
3.87
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x)^m)}{x} \, dx\)
3.88
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x)^m)}{x^2} \, dx\)
3.89
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x)^m)}{x^3} \, dx\)
3.90
\(\int x^3 (a+b \log (c x^n)) \log (d (e+f x^2)^m) \, dx\)
3.91
\(\int x (a+b \log (c x^n)) \log (d (e+f x^2)^m) \, dx\)
3.92
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^2)^m)}{x} \, dx\)
3.93
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^2)^m)}{x^3} \, dx\)
3.94
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^2)^m)}{x^5} \, dx\)
3.95
\(\int x^2 (a+b \log (c x^n)) \log (d (e+f x^2)^m) \, dx\)
3.96
\(\int (a+b \log (c x^n)) \log (d (e+f x^2)^m) \, dx\)
3.97
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^2)^m)}{x^2} \, dx\)
3.98
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^2)^m)}{x^4} \, dx\)
3.99
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^2)^m)}{x^6} \, dx\)
3.100
\(\int x (a+b \log (c x^n))^2 \log (d (e+f x^2)^m) \, dx\)
3.101
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x^2)^m)}{x} \, dx\)
3.102
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x^2)^m)}{x^3} \, dx\)
3.103
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x^2)^m)}{x^5} \, dx\)
3.104
\(\int x^2 (a+b \log (c x^n))^2 \log (d (e+f x^2)^m) \, dx\)
3.105
\(\int (a+b \log (c x^n))^2 \log (d (e+f x^2)^m) \, dx\)
3.106
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x^2)^m)}{x^2} \, dx\)
3.107
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x^2)^m)}{x^4} \, dx\)
3.108
\(\int x (a+b \log (c x^n))^3 \log (d (e+f x^2)^m) \, dx\)
3.109
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x^2)^m)}{x} \, dx\)
3.110
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x^2)^m)}{x^3} \, dx\)
3.111
\(\int x^2 (a+b \log (c x^n))^3 \log (d (e+f x^2)^m) \, dx\)
3.112
\(\int (a+b \log (c x^n))^3 \log (d (e+f x^2)^m) \, dx\)
3.113
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x^2)^m)}{x^2} \, dx\)
3.114
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x^2)^m)}{x^4} \, dx\)
3.115
\(\int x^2 \log (d (e+f \sqrt{x})^k) (a+b \log (c x^n)) \, dx\)
3.116
\(\int x \log (d (e+f \sqrt{x})^k) (a+b \log (c x^n)) \, dx\)
3.117
\(\int \log (d (e+f \sqrt{x})^k) (a+b \log (c x^n)) \, dx\)
3.118
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x} \, dx\)
3.119
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x^2} \, dx\)
3.120
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x^3} \, dx\)
3.121
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x^4} \, dx\)
3.122
\(\int x^2 \log (d (e+f \sqrt{x})) (a+b \log (c x^n))^2 \, dx\)
3.123
\(\int x \log (d (e+f \sqrt{x})) (a+b \log (c x^n))^2 \, dx\)
3.124
\(\int \log (d (e+f \sqrt{x})) (a+b \log (c x^n))^2 \, dx\)
3.125
\(\int \frac{\log (d (e+f \sqrt{x})) (a+b \log (c x^n))^2}{x} \, dx\)
3.126
\(\int \frac{\log (d (e+f \sqrt{x})) (a+b \log (c x^n))^2}{x^2} \, dx\)
3.127
\(\int \frac{\log (d (e+f \sqrt{x})) (a+b \log (c x^n))^2}{x^3} \, dx\)
3.128
\(\int x \log (d (e+f \sqrt{x})) (a+b \log (c x^n))^3 \, dx\)
3.129
\(\int \log (d (e+f \sqrt{x})) (a+b \log (c x^n))^3 \, dx\)
3.130
\(\int \frac{\log (d (e+f \sqrt{x})) (a+b \log (c x^n))^3}{x} \, dx\)
3.131
\(\int \frac{\log (d (e+f \sqrt{x})) (a+b \log (c x^n))^3}{x^2} \, dx\)
3.132
\(\int \frac{\log (d (e+f \sqrt{x})) (a+b \log (c x^n))^3}{x^3} \, dx\)
3.133
\(\int x^{3/2} \log (d (e+f \sqrt{x})^k) (a+b \log (c x^n)) \, dx\)
3.134
\(\int \sqrt{x} \log (d (e+f \sqrt{x})^k) (a+b \log (c x^n)) \, dx\)
3.135
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x^{3/2}} \, dx\)
3.136
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x^{5/2}} \, dx\)
3.137
\(\int \frac{\log (d (e+f \sqrt{x})^k) (a+b \log (c x^n))}{x^{7/2}} \, dx\)
3.138
\(\int (g x)^q (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.139
\(\int \frac{(a+b \log (c x^n))^3 \log (d (e+f x^m)^r)}{x} \, dx\)
3.140
\(\int \frac{(a+b \log (c x^n))^2 \log (d (e+f x^m)^r)}{x} \, dx\)
3.141
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^m)^r)}{x} \, dx\)
3.142
\(\int \frac{\log (d (e+f x^m)^r)}{x (a+b \log (c x^n))} \, dx\)
3.143
\(\int \frac{\log (d (e+f x^m)^r)}{x (a+b \log (c x^n))^2} \, dx\)
3.144
\(\int x^2 (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.145
\(\int x (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.146
\(\int (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.147
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^m)^k)}{x} \, dx\)
3.148
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^m)^k)}{x^2} \, dx\)
3.149
\(\int \frac{(a+b \log (c x^n)) \log (d (e+f x^m)^k)}{x^3} \, dx\)
3.150
\(\int (g x)^{-1+3 m} (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.151
\(\int (g x)^{-1+2 m} (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.152
\(\int (g x)^{-1+m} (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.153
\(\int (g x)^{-1-m} (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.154
\(\int (g x)^{-1-2 m} (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.155
\(\int (g x)^{-1-3 m} (a+b \log (c x^n)) \log (d (e+f x^m)^k) \, dx\)
3.156
\(\int x^2 (a+b \log (c x^n)) (d+e \log (f x^r)) \, dx\)
3.157
\(\int x (a+b \log (c x^n)) (d+e \log (f x^r)) \, dx\)
3.158
\(\int (a+b \log (c x^n)) (d+e \log (f x^r)) \, dx\)
3.159
\(\int \frac{(a+b \log (c x^n)) (d+e \log (f x^r))}{x} \, dx\)
3.160
\(\int \frac{(a+b \log (c x^n)) (d+e \log (f x^r))}{x^2} \, dx\)
3.161
\(\int \frac{(a+b \log (c x^n)) (d+e \log (f x^r))}{x^3} \, dx\)
3.162
\(\int \frac{(a+b \log (c x^n)) (d+e \log (f x^r))}{x^4} \, dx\)
3.163
\(\int x^2 (a+b \log (c x^n))^2 (d+e \log (f x^r)) \, dx\)
3.164
\(\int x (a+b \log (c x^n))^2 (d+e \log (f x^r)) \, dx\)
3.165
\(\int (a+b \log (c x^n))^2 (d+e \log (f x^r)) \, dx\)
3.166
\(\int \frac{(a+b \log (c x^n))^2 (d+e \log (f x^r))}{x} \, dx\)
3.167
\(\int \frac{(a+b \log (c x^n))^2 (d+e \log (f x^r))}{x^2} \, dx\)
3.168
\(\int \frac{(a+b \log (c x^n))^2 (d+e \log (f x^r))}{x^3} \, dx\)
3.169
\(\int \frac{(a+b \log (c x^n))^2 (d+e \log (f x^r))}{x^4} \, dx\)
3.170
\(\int \frac{x^2 (a+b \log (c x^n))}{d+e \log (f x^m)} \, dx\)
3.171
\(\int \frac{x (a+b \log (c x^n))}{d+e \log (f x^m)} \, dx\)
3.172
\(\int \frac{a+b \log (c x^n)}{d+e \log (f x^m)} \, dx\)
3.173
\(\int \frac{a+b \log (c x^n)}{x (d+e \log (f x^m))} \, dx\)
3.174
\(\int \frac{a+b \log (c x^n)}{x^2 (d+e \log (f x^m))} \, dx\)
3.175
\(\int \frac{a+b \log (c x^n)}{x^3 (d+e \log (f x^m))} \, dx\)
3.176
\(\int \frac{a+b \log (c x^n)}{(d+e \log (c x^n))^2} \, dx\)
3.177
\(\int \frac{a+b \log (c x^n)}{x \log (x)} \, dx\)
3.178
\(\int (g x)^m (a+b \log (c x^n))^p (d+e \log (f x^r)) \, dx\)
3.179
\(\int x^2 (a+b \log (c x^n))^p (d+e \log (f x^r)) \, dx\)
3.180
\(\int x (a+b \log (c x^n))^p (d+e \log (f x^r)) \, dx\)
3.181
\(\int (a+b \log (c x^n))^p (d+e \log (f x^r)) \, dx\)
3.182
\(\int \frac{(a+b \log (c x^n))^p (d+e \log (f x^r))}{x} \, dx\)
3.183
\(\int \frac{(a+b \log (c x^n))^p (d+e \log (f x^r))}{x^2} \, dx\)
3.184
\(\int \frac{(a+b \log (c x^n))^p (d+e \log (f x^r))}{x^3} \, dx\)
3.185
\(\int \frac{(a+b \log (c x^n))^p (d+e \log (f x^r))}{x^4} \, dx\)
3.186
\(\int (d+e x^2) \sin ^{-1}(a x) \log (c x^n) \, dx\)
3.187
\(\int (d+e x^2) \cos ^{-1}(a x) \log (c x^n) \, dx\)
3.188
\(\int (d+e x^2) \tan ^{-1}(a x) \log (c x^n) \, dx\)
3.189
\(\int (d+e x^2) \cot ^{-1}(a x) \log (c x^n) \, dx\)
3.190
\(\int (d+e x^2) \sinh ^{-1}(a x) \log (c x^n) \, dx\)
3.191
\(\int (d+e x^2) \cosh ^{-1}(a x) \log (c x^n) \, dx\)
3.192
\(\int (d+e x^2) \tanh ^{-1}(a x) \log (c x^n) \, dx\)
3.193
\(\int (d+e x^2) \coth ^{-1}(a x) \log (c x^n) \, dx\)
3.194
\(\int (d+e x^2) \sin ^{-1}(a x)^2 \log (c x^n) \, dx\)
3.195
\(\int (d+e x^2) \cos ^{-1}(a x)^2 \log (c x^n) \, dx\)
3.196
\(\int (d+e x^2) \sinh ^{-1}(a x)^2 \log (c x^n) \, dx\)
3.197
\(\int (d+e x^2) \cosh ^{-1}(a x)^2 \log (c x^n) \, dx\)
3.198
\(\int \frac{(a+b \log (c x^n))^p \text{PolyLog}(k,e x^q)}{x} \, dx\)
3.199
\(\int \frac{(a+b \log (c x^n))^3 \text{PolyLog}(k,e x^q)}{x} \, dx\)
3.200
\(\int \frac{(a+b \log (c x^n))^2 \text{PolyLog}(k,e x^q)}{x} \, dx\)
3.201
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(k,e x^q)}{x} \, dx\)
3.202
\(\int \frac{\text{PolyLog}(k,e x^q)}{x (a+b \log (c x^n))} \, dx\)
3.203
\(\int \frac{\text{PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^2} \, dx\)
3.204
\(\int \frac{\text{PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^3} \, dx\)
3.205
\(\int \frac{\log (x) \text{PolyLog}(n,a x)}{x} \, dx\)
3.206
\(\int \frac{\log ^2(x) \text{PolyLog}(n,a x)}{x} \, dx\)
3.207
\(\int (\frac{q \text{PolyLog}(-1+k,e x^q)}{b n x (a+b \log (c x^n))}-\frac{\text{PolyLog}(k,e x^q)}{x (a+b \log (c x^n))^2}) \, dx\)
3.208
\(\int x^2 (a+b \log (c x^n)) \text{PolyLog}(2,e x) \, dx\)
3.209
\(\int x (a+b \log (c x^n)) \text{PolyLog}(2,e x) \, dx\)
3.210
\(\int (a+b \log (c x^n)) \text{PolyLog}(2,e x) \, dx\)
3.211
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(2,e x)}{x} \, dx\)
3.212
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(2,e x)}{x^2} \, dx\)
3.213
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(2,e x)}{x^3} \, dx\)
3.214
\(\int x^2 (a+b \log (c x^n)) \text{PolyLog}(3,e x) \, dx\)
3.215
\(\int x (a+b \log (c x^n)) \text{PolyLog}(3,e x) \, dx\)
3.216
\(\int (a+b \log (c x^n)) \text{PolyLog}(3,e x) \, dx\)
3.217
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(3,e x)}{x} \, dx\)
3.218
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(3,e x)}{x^2} \, dx\)
3.219
\(\int \frac{(a+b \log (c x^n)) \text{PolyLog}(3,e x)}{x^3} \, dx\)
3.220
\(\int -(d x)^m (a+b \log (c x^n)) \log (1-e x^q) \, dx\)
3.221
\(\int (d x)^m (a+b \log (c x^n)) \text{PolyLog}(2,e x^q) \, dx\)
3.222
\(\int (d x)^m (a+b \log (c x^n)) \text{PolyLog}(3,e x^q) \, dx\)
3.223
\(\int x^2 \log (c (b x^n)^p) \, dx\)
3.224
\(\int x \log (c (b x^n)^p) \, dx\)
3.225
\(\int \log (c (b x^n)^p) \, dx\)
3.226
\(\int \frac{\log (c (b x^n)^p)}{x} \, dx\)
3.227
\(\int \frac{\log (c (b x^n)^p)}{x^2} \, dx\)
3.228
\(\int \frac{\log (c (b x^n)^p)}{x^3} \, dx\)
3.229
\(\int \frac{\log (c (b x^n)^p)}{x^4} \, dx\)
3.230
\(\int x^2 \log ^2(c (b x^n)^p) \, dx\)
3.231
\(\int x \log ^2(c (b x^n)^p) \, dx\)
3.232
\(\int \log ^2(c (b x^n)^p) \, dx\)
3.233
\(\int \frac{\log ^2(c (b x^n)^p)}{x} \, dx\)
3.234
\(\int \frac{\log ^2(c (b x^n)^p)}{x^2} \, dx\)
3.235
\(\int \frac{\log ^2(c (b x^n)^p)}{x^3} \, dx\)
3.236
\(\int \frac{\log ^2(c (b x^n)^p)}{x^4} \, dx\)
3.237
\(\int (e x)^q (a+b \log (c (d x^m)^n))^3 \, dx\)
3.238
\(\int (e x)^q (a+b \log (c (d x^m)^n))^2 \, dx\)
3.239
\(\int (e x)^q (a+b \log (c (d x^m)^n)) \, dx\)
3.240
\(\int \frac{(e x)^q}{a+b \log (c (d x^m)^n)} \, dx\)
3.241
\(\int \frac{(e x)^q}{(a+b \log (c (d x^m)^n))^2} \, dx\)
3.242
\(\int (e x)^q (a+b \log (c (d x^m)^n))^p \, dx\)
3.243
\(\int x^2 (a+b \log (c (d x^m)^n))^p \, dx\)
3.244
\(\int x (a+b \log (c (d x^m)^n))^p \, dx\)
3.245
\(\int (a+b \log (c (d x^m)^n))^p \, dx\)
3.246
\(\int \frac{(a+b \log (c (d x^m)^n))^p}{x} \, dx\)
3.247
\(\int \frac{(a+b \log (c (d x^m)^n))^p}{x^2} \, dx\)
3.248
\(\int \frac{(a+b \log (c (d x^m)^n))^p}{x^3} \, dx\)
3.249
\(\int \frac{a+b \log (c (d x^m)^n)}{e+f x^2} \, dx\)
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