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 \(\int \frac{a+b \log (c (d x^m)^n)}{e+f x^2} \, dx\)