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 \(\int \frac{1}{(g+h x) (i+j x)^2 (a+b \log (c (d (e+f x)^p)^q))^2} \, dx\)