Chapter 3
Listing of integrals

 3.1 \(\int \frac{\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))^p}{x} \, dx\)
 3.2 \(\int \frac{\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))^3}{x} \, dx\)
 3.3 \(\int \frac{\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))^2}{x} \, dx\)
 3.4 \(\int \frac{\log ^{-1+q}(c x^n) (a x^m+b \log ^q(c x^n))}{x} \, dx\)
 3.5 \(\int \frac{\log ^{-1+q}(c x^n)}{x} \, dx\)
 3.6 \(\int \frac{\log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))} \, dx\)
 3.7 \(\int \frac{\log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
 3.8 \(\int \frac{\log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^3} \, dx\)
 3.9 \(\int \frac{\log (c x^n) (a x^m+b \log ^2(c x^n))^3}{x} \, dx\)
 3.10 \(\int \frac{\log (c x^n) (a x^m+b \log ^2(c x^n))^2}{x} \, dx\)
 3.11 \(\int \frac{\log (c x^n) (a x^m+b \log ^2(c x^n))}{x} \, dx\)
 3.12 \(\int \frac{\log (c x^n)}{x} \, dx\)
 3.13 \(\int \frac{\log (c x^n)}{x (a x^m+b \log ^2(c x^n))} \, dx\)
 3.14 \(\int \frac{\log (c x^n)}{x (a x^m+b \log ^2(c x^n))^2} \, dx\)
 3.15 \(\int \frac{\log (c x^n)}{x (a x^m+b \log ^2(c x^n))^3} \, dx\)
 3.16 \(\int \frac{(a m x^m+b n q \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^p}{x} \, dx\)
 3.17 \(\int \frac{(a m x^m+b n q \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^2}{x} \, dx\)
 3.18 \(\int \frac{(a m x^m+b n q \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))}{x} \, dx\)
 3.19 \(\int \frac{a m x^m+b n q \log ^{-1+q}(c x^n)}{x} \, dx\)
 3.20 \(\int \frac{a m x^m+b n q \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))} \, dx\)
 3.21 \(\int \frac{a m x^m+b n q \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
 3.22 \(\int \frac{a m x^m+b n q \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^3} \, dx\)
 3.23 \(\int (\frac{a}{x^2}+\frac{2 b n \log (c x^n)}{x^3}) (a x^2+b x \log ^2(c x^n))^2 \, dx\)
 3.24 \(\int (\frac{a}{x}+\frac{2 b n \log (c x^n)}{x^2}) (a x^2+b x \log ^2(c x^n)) \, dx\)
 3.25 \(\int (a+\frac{2 b n \log (c x^n)}{x}) \, dx\)
 3.26 \(\int \frac{a x+2 b n \log (c x^n)}{a x^2+b x \log ^2(c x^n)} \, dx\)
 3.27 \(\int \frac{a x^2+2 b n x \log (c x^n)}{(a x^2+b x \log ^2(c x^n))^2} \, dx\)
 3.28 \(\int \frac{a x^3+2 b n x^2 \log (c x^n)}{(a x^2+b x \log ^2(c x^n))^3} \, dx\)
 3.29 \(\int \frac{a (-1+m) x^{-1+m}+b n q \log ^{-1+q}(c x^n)}{a x^m+b x \log ^q(c x^n)} \, dx\)
 3.30 \(\int \frac{(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^p}{x} \, dx\)
 3.31 \(\int \frac{(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^3}{x} \, dx\)
 3.32 \(\int \frac{(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))^2}{x} \, dx\)
 3.33 \(\int \frac{(d x^m+e \log ^{-1+q}(c x^n)) (a x^m+b \log ^q(c x^n))}{x} \, dx\)
 3.34 \(\int \frac{d x^m+e \log ^{-1+q}(c x^n)}{x} \, dx\)
 3.35 \(\int \frac{d x^m+e \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))} \, dx\)
 3.36 \(\int \frac{d x^m+e \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
 3.37 \(\int \frac{d x^m+e \log ^{-1+q}(c x^n)}{x (a x^m+b \log ^q(c x^n))^3} \, dx\)
 3.38 \(\int \frac{a d n x^m-a d m x^m \log (c x^n)-b d n (-1+q) \log ^q(c x^n)}{x (a x^m+b \log ^q(c x^n))^2} \, dx\)
 3.39 \(\int \frac{n q-\log (c x^n)}{(a x+b \log ^q(c x^n))^2} \, dx\)
 3.40 \(\int \frac{\log (\frac{2 x (d \sqrt{-\frac{e}{d}}+e x)}{d+e x^2})}{d+e x^2} \, dx\)
 3.41 \(\int \frac{\log (-\frac{2 x (d \sqrt{-\frac{e}{d}}-e x)}{d+e x^2})}{d+e x^2} \, dx\)
 3.42 \(\int \frac{\log (\frac{2 x (\frac{d \sqrt{e}}{\sqrt{-d}}+e x)}{d+e x^2})}{d+e x^2} \, dx\)
 3.43 \(\int \frac{\log (-\frac{2 x (\frac{d \sqrt{e}}{\sqrt{-d}}-e x)}{d+e x^2})}{d+e x^2} \, dx\)
 3.44 \(\int \frac{\log (\frac{2 x (\sqrt{d} \sqrt{-e}+e x)}{d+e x^2})}{d+e x^2} \, dx\)
 3.45 \(\int \frac{\log (-\frac{2 x (\sqrt{d} \sqrt{-e}-e x)}{d+e x^2})}{d+e x^2} \, dx\)
 3.46 \(\int (e x)^m (a+b \log (c \log ^p(d x))) \, dx\)
 3.47 \(\int (e x)^m (a+b \log (c \log ^p(d x^n))) \, dx\)
 3.48 \(\int x^2 (a+b \log (c \log ^p(d x^n))) \, dx\)
 3.49 \(\int x (a+b \log (c \log ^p(d x^n))) \, dx\)
 3.50 \(\int (a+b \log (c \log ^p(d x^n))) \, dx\)
 3.51 \(\int \frac{a+b \log (c \log ^p(d x^n))}{x} \, dx\)
 3.52 \(\int \frac{a+b \log (c \log ^p(d x^n))}{x^2} \, dx\)
 3.53 \(\int \frac{a+b \log (c \log ^p(d x^n))}{x^3} \, dx\)
 3.54 \(\int \frac{a+b \log (c \log ^p(d x^n))}{x^4} \, dx\)
 3.55 \(\int \log (c \log ^p(d x)) \, dx\)
 3.56 \(\int \frac{\log (c \log ^p(d x))}{x} \, dx\)
 3.57 \(\int \log (c \log ^p(d x^n)) \, dx\)
 3.58 \(\int \frac{\log (c \log ^p(d x^n))}{x} \, dx\)
 3.59 \(\int x^m \log (d (b x+c x^2)^n) \, dx\)
 3.60 \(\int x^4 \log (d (b x+c x^2)^n) \, dx\)
 3.61 \(\int x^3 \log (d (b x+c x^2)^n) \, dx\)
 3.62 \(\int x^2 \log (d (b x+c x^2)^n) \, dx\)
 3.63 \(\int x \log (d (b x+c x^2)^n) \, dx\)
 3.64 \(\int \log (d (b x+c x^2)^n) \, dx\)
 3.65 \(\int \frac{\log (d (b x+c x^2)^n)}{x} \, dx\)
 3.66 \(\int \frac{\log (d (b x+c x^2)^n)}{x^2} \, dx\)
 3.67 \(\int \frac{\log (d (b x+c x^2)^n)}{x^3} \, dx\)
 3.68 \(\int \frac{\log (d (b x+c x^2)^n)}{x^4} \, dx\)
 3.69 \(\int \frac{\log (d (b x+c x^2)^n)}{x^5} \, dx\)
 3.70 \(\int x^m \log (d (a+b x+c x^2)^n) \, dx\)
 3.71 \(\int x^4 \log (d (a+b x+c x^2)^n) \, dx\)
 3.72 \(\int x^3 \log (d (a+b x+c x^2)^n) \, dx\)
 3.73 \(\int x^2 \log (d (a+b x+c x^2)^n) \, dx\)
 3.74 \(\int x \log (d (a+b x+c x^2)^n) \, dx\)
 3.75 \(\int \log (d (a+b x+c x^2)^n) \, dx\)
 3.76 \(\int \frac{\log (d (a+b x+c x^2)^n)}{x} \, dx\)
 3.77 \(\int \frac{\log (d (a+b x+c x^2)^n)}{x^2} \, dx\)
 3.78 \(\int \frac{\log (d (a+b x+c x^2)^n)}{x^3} \, dx\)
 3.79 \(\int \frac{\log (d (a+b x+c x^2)^n)}{x^4} \, dx\)
 3.80 \(\int \frac{\log (d (a+b x+c x^2)^n)}{x^5} \, dx\)
 3.81 \(\int \log (1+x+x^2) \, dx\)
 3.82 \(\int (d+e x)^4 \log (d (a+b x+c x^2)^n) \, dx\)
 3.83 \(\int (d+e x)^3 \log (d (a+b x+c x^2)^n) \, dx\)
 3.84 \(\int (d+e x)^2 \log (d (a+b x+c x^2)^n) \, dx\)
 3.85 \(\int (d+e x) \log (d (a+b x+c x^2)^n) \, dx\)
 3.86 \(\int \log (d (a+b x+c x^2)^n) \, dx\)
 3.87 \(\int \frac{\log (d (a+b x+c x^2)^n)}{d+e x} \, dx\)
 3.88 \(\int \frac{\log (d (a+b x+c x^2)^n)}{(d+e x)^2} \, dx\)
 3.89 \(\int \frac{\log (d (a+b x+c x^2)^n)}{(d+e x)^3} \, dx\)
 3.90 \(\int \frac{\log (d (a+b x+c x^2)^n)}{(d+e x)^4} \, dx\)
 3.91 \(\int \frac{\log (d (a+b x+c x^2)^n)}{(d+e x)^5} \, dx\)
 3.92 \(\int \frac{\log (d (a+c x^2)^n)}{a e+c e x^2} \, dx\)
 3.93 \(\int \frac{\log (d (a+b x+c x^2)^n)}{a e+b e x+c e x^2} \, dx\)
 3.94 \(\int \frac{\log (g (a+b x+c x^2)^n)}{d+e x^2} \, dx\)
 3.95 \(\int \frac{\log (g (a+b x+c x^2)^n)}{d+e x+f x^2} \, dx\)
 3.96 \(\int \log ^2(d (b x+c x^2)^n) \, dx\)
 3.97 \(\int \log ^2(d (a+b x+c x^2)^n) \, dx\)
 3.98 \(\int \frac{x^2 \log (1+x+x^2)}{2+3 x+x^2} \, dx\)
 3.99 \(\int \log ^2(1+x+x^2) \, dx\)
 3.100 \(\int \frac{\log ^2(-1+x+x^2)}{x^3} \, dx\)
 3.101 \(\int x^3 \log (-1+4 x+4 \sqrt{(-1+x) x}) \, dx\)
 3.102 \(\int x^2 \log (-1+4 x+4 \sqrt{(-1+x) x}) \, dx\)
 3.103 \(\int x \log (-1+4 x+4 \sqrt{(-1+x) x}) \, dx\)
 3.104 \(\int \log (-1+4 x+4 \sqrt{(-1+x) x}) \, dx\)
 3.105 \(\int \frac{\log (-1+4 x+4 \sqrt{(-1+x) x})}{x} \, dx\)
 3.106 \(\int \frac{\log (-1+4 x+4 \sqrt{(-1+x) x})}{x^2} \, dx\)
 3.107 \(\int \frac{\log (-1+4 x+4 \sqrt{(-1+x) x})}{x^3} \, dx\)
 3.108 \(\int x^{3/2} \log (-1+4 x+4 \sqrt{(-1+x) x}) \, dx\)
 3.109 \(\int \sqrt{x} \log (-1+4 x+4 \sqrt{(-1+x) x}) \, dx\)
 3.110 \(\int \frac{\log (-1+4 x+4 \sqrt{(-1+x) x})}{\sqrt{x}} \, dx\)
 3.111 \(\int \frac{\log (-1+4 x+4 \sqrt{(-1+x) x})}{x^{3/2}} \, dx\)
 3.112 \(\int \frac{\log (-1+4 x+4 \sqrt{(-1+x) x})}{x^{5/2}} \, dx\)
 3.113 \(\int x^3 \log (a+b e^x) \, dx\)
 3.114 \(\int x^2 \log (a+b e^x) \, dx\)
 3.115 \(\int x \log (a+b e^x) \, dx\)
 3.116 \(\int \log (a+b e^x) \, dx\)
 3.117 \(\int \frac{\log (a+b e^x)}{x} \, dx\)
 3.118 \(\int x^3 \log (1+e (f^{c (a+b x)})^n) \, dx\)
 3.119 \(\int x^2 \log (1+e (f^{c (a+b x)})^n) \, dx\)
 3.120 \(\int x \log (1+e (f^{c (a+b x)})^n) \, dx\)
 3.121 \(\int \log (1+e (f^{c (a+b x)})^n) \, dx\)
 3.122 \(\int \frac{\log (1+e (f^{c (a+b x)})^n)}{x} \, dx\)
 3.123 \(\int x^3 \log (d+e (f^{c (a+b x)})^n) \, dx\)
 3.124 \(\int x^2 \log (d+e (f^{c (a+b x)})^n) \, dx\)
 3.125 \(\int x \log (d+e (f^{c (a+b x)})^n) \, dx\)
 3.126 \(\int \log (d+e (f^{c (a+b x)})^n) \, dx\)
 3.127 \(\int \frac{\log (d+e (f^{c (a+b x)})^n)}{x} \, dx\)
 3.128 \(\int \log (b (F^{e (c+d x)})^n+\pi ) \, dx\)
 3.129 \(\int \frac{1}{x (3+\log (x))} \, dx\)
 3.130 \(\int \frac{\sqrt{1+\log (x)}}{x} \, dx\)
 3.131 \(\int \frac{(1+\log (x))^5}{x} \, dx\)
 3.132 \(\int \frac{1}{x \sqrt{\log (x)}} \, dx\)
 3.133 \(\int \frac{1}{x (1+\log ^2(x))} \, dx\)
 3.134 \(\int \frac{1}{x \sqrt{-3+\log ^2(x)}} \, dx\)
 3.135 \(\int \frac{1}{x \sqrt{4-9 \log ^2(x)}} \, dx\)
 3.136 \(\int \frac{1}{x \sqrt{4+\log ^2(x)}} \, dx\)
 3.137 \(\int \frac{1}{x (2+3 \log ^3(6 x))} \, dx\)
 3.138 \(\int \frac{\log (\log (6 x))}{x \log (6 x)} \, dx\)
 3.139 \(\int \frac{2^{\log (x)}}{x} \, dx\)
 3.140 \(\int \frac{\sin ^2(\log (x))}{x} \, dx\)
 3.141 \(\int \frac{7-\log (x)}{x (3+\log (x))} \, dx\)
 3.142 \(\int \frac{(2-\log (x)) (3+\log (x))^2}{x} \, dx\)
 3.143 \(\int \frac{\log ^2(x) \sqrt{1+\log ^2(x)}}{x} \, dx\)
 3.144 \(\int \frac{1+\log (x)}{x (3+2 \log (x))^2} \, dx\)
 3.145 \(\int \frac{\log (x)}{x \sqrt{1+\log (x)}} \, dx\)
 3.146 \(\int \frac{\log (x)}{x \sqrt{-1+4 \log (x)}} \, dx\)
 3.147 \(\int \frac{\sqrt{1+\log (x)}}{x \log (x)} \, dx\)
 3.148 \(\int \frac{1-4 \log (x)+\log ^2(x)}{x (-1+\log (x))^4} \, dx\)
 3.149 \(\int \frac{\log ^2(a x^n)^p}{x} \, dx\)
 3.150 \(\int \frac{\log ^m(a x^n)^p}{x} \, dx\)
 3.151 \(\int \frac{\sqrt{\log ^2(a x^n)}}{x} \, dx\)
 3.152 \(\int \frac{(b \log ^m(a x^n))^p}{x} \, dx\)
 3.153 \(\int \frac{1}{x \log (e^x)} \, dx\)
 3.154 \(\int \log (x) \sin (a+b x) \, dx\)
 3.155 \(\int \log (x) \sin ^2(a+b x) \, dx\)
 3.156 \(\int \log (x) \sin ^3(a+b x) \, dx\)
 3.157 \(\int \cos (a+b x) \log (x) \, dx\)
 3.158 \(\int \cos ^2(a+b x) \log (x) \, dx\)
 3.159 \(\int \cos ^3(a+b x) \log (x) \, dx\)
 3.160 \(\int (\cos (x) \log (x)+\frac{\sin (x)}{x}) \, dx\)
 3.161 \(\int \log (a \sin (x)) \, dx\)
 3.162 \(\int \log (a \sin ^2(x)) \, dx\)
 3.163 \(\int \log (a \sin ^n(x)) \, dx\)
 3.164 \(\int \log (a \cos (x)) \, dx\)
 3.165 \(\int \log (a \cos ^2(x)) \, dx\)
 3.166 \(\int \log (a \cos ^n(x)) \, dx\)
 3.167 \(\int \log (a \tan (x)) \, dx\)
 3.168 \(\int \log (a \tan ^2(x)) \, dx\)
 3.169 \(\int \log (a \tan ^n(x)) \, dx\)
 3.170 \(\int \log (a \cot (x)) \, dx\)
 3.171 \(\int \log (a \cot ^2(x)) \, dx\)
 3.172 \(\int \log (a \cot ^n(x)) \, dx\)
 3.173 \(\int \log (a \sec (x)) \, dx\)
 3.174 \(\int \log (a \sec ^2(x)) \, dx\)
 3.175 \(\int \log (a \sec ^n(x)) \, dx\)
 3.176 \(\int \log (a \csc (x)) \, dx\)
 3.177 \(\int \log (a \csc ^2(x)) \, dx\)
 3.178 \(\int \log (a \csc ^n(x)) \, dx\)
 3.179 \(\int \cos (x) \log (\frac{1}{2} (1-\cos (2 x))) \, dx\)
 3.180 \(\int \frac{\cot (x)}{\log (e \sin (x))} \, dx\)
 3.181 \(\int \frac{\cot (x)}{\log (e^{\sin (x)})} \, dx\)
 3.182 \(\int \log (\cos (x)) \sec ^2(x) \, dx\)
 3.183 \(\int \cot (x) \log (\sin (x)) \, dx\)
 3.184 \(\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx\)
 3.185 \(\int \cos (a+b x) \log (\cos (\frac{a}{2}+\frac{b x}{2}) \sin (\frac{a}{2}+\frac{b x}{2})) \, dx\)
 3.186 \(\int \frac{\tan (x)}{\log (\cos (x))} \, dx\)
 3.187 \(\int \log (\cos (x)) \tan (x) \, dx\)
 3.188 \(\int \log (\cos (x)) \sin (x) \, dx\)
 3.189 \(\int \cos (x) \log (\cos (x)) \, dx\)
 3.190 \(\int \cos (x) \log (\sin (x)) \, dx\)
 3.191 \(\int \log (\sin (x)) \sin ^2(x) \, dx\)
 3.192 \(\int \log (\sin (x)) \sin ^3(x) \, dx\)
 3.193 \(\int \log (\sin (\sqrt{x})) \, dx\)
 3.194 \(\int \csc ^2(x) \log (\sin (x)) \, dx\)
 3.195 \(\int \log (x) \sinh (a+b x) \, dx\)
 3.196 \(\int \log (x) \sinh ^2(a+b x) \, dx\)
 3.197 \(\int \log (x) \sinh ^3(a+b x) \, dx\)
 3.198 \(\int \cosh (a+b x) \log (x) \, dx\)
 3.199 \(\int \cosh ^2(a+b x) \log (x) \, dx\)
 3.200 \(\int \cosh ^3(a+b x) \log (x) \, dx\)
 3.201 \(\int \log (a \sinh (x)) \, dx\)
 3.202 \(\int \log (a \sinh ^2(x)) \, dx\)
 3.203 \(\int \log (a \sinh ^n(x)) \, dx\)
 3.204 \(\int \log (a \cosh (x)) \, dx\)
 3.205 \(\int \log (a \cosh ^2(x)) \, dx\)
 3.206 \(\int \log (a \cosh ^n(x)) \, dx\)
 3.207 \(\int \log (\tanh (x)) \, dx\)
 3.208 \(\int \log (a \tanh (x)) \, dx\)
 3.209 \(\int \log (a \tanh ^2(x)) \, dx\)
 3.210 \(\int \log (a \tanh ^n(x)) \, dx\)
 3.211 \(\int \log (\coth (x)) \, dx\)
 3.212 \(\int \log (a \coth (x)) \, dx\)
 3.213 \(\int \log (a \coth ^2(x)) \, dx\)
 3.214 \(\int \log (a \coth ^n(x)) \, dx\)
 3.215 \(\int \log (a \text{sech}(x)) \, dx\)
 3.216 \(\int \log (a \text{sech}^2(x)) \, dx\)
 3.217 \(\int \log (a \text{sech}^n(x)) \, dx\)
 3.218 \(\int \log (a \text{csch}(x)) \, dx\)
 3.219 \(\int \log (a \text{csch}^2(x)) \, dx\)
 3.220 \(\int \log (a \text{csch}^n(x)) \, dx\)
 3.221 \(\int \cosh (a+b x) \log (\cosh (\frac{a}{2}+\frac{b x}{2}) \sinh (\frac{a}{2}+\frac{b x}{2})) \, dx\)
 3.222 \(\int \log (\cosh ^2(x)) \sinh (x) \, dx\)
 3.223 \(\int \frac{\log (x)}{\sqrt{x}} \, dx\)
 3.224 \(\int x \log (2-3 x^2) \, dx\)
 3.225 \(\int \frac{1}{x \sqrt{1-\log ^2(x)}} \, dx\)
 3.226 \(\int 16 x^3 \log ^2(x) \, dx\)
 3.227 \(\int \log (\sqrt{a+b x}) \, dx\)
 3.228 \(\int x \log (\sqrt{2+x}) \, dx\)
 3.229 \(\int x \log (\sqrt [3]{1+3 x}) \, dx\)
 3.230 \(\int x \log (x+x^3) \, dx\)
 3.231 \(\int \log (x+\sqrt{1+x^2}) \, dx\)
 3.232 \(\int \log (x+\sqrt{-1+x^2}) \, dx\)
 3.233 \(\int \log (x-\sqrt{-1+x^2}) \, dx\)
 3.234 \(\int \log (\sqrt{x}+\sqrt{1+x}) \, dx\)
 3.235 \(\int \sqrt [3]{x} \log (x) \, dx\)
 3.236 \(\int 2^{\log (x)} \, dx\)
 3.237 \(\int \frac{1-\log (x)}{x^2} \, dx\)
 3.238 \(\int \log (1+x+\sqrt{1+x}) \, dx\)
 3.239 \(\int \log (x+x^3) \, dx\)
 3.240 \(\int 2^{\log (-8+7 x)} \, dx\)
 3.241 \(\int \log (\frac{-11+5 x}{5+76 x}) \, dx\)
 3.242 \(\int \log (\frac{1}{13+x}) \, dx\)
 3.243 \(\int x \log (\frac{1+x}{x^2}) \, dx\)
 3.244 \(\int x^3 \log (\frac{7+5 x}{x^2}) \, dx\)
 3.245 \(\int (a+b x) \log (a+b x) \, dx\)
 3.246 \(\int (a+b x)^2 \log (a+b x) \, dx\)
 3.247 \(\int \frac{\log (a+b x)}{a+b x} \, dx\)
 3.248 \(\int \frac{\log (a+b x)}{(a+b x)^2} \, dx\)
 3.249 \(\int (a+b x)^n \log (a+b x) \, dx\)
 3.250 \(\int \frac{1}{a x+b x \log (c x^n)} \, dx\)
 3.251 \(\int \frac{1}{a x+b x \log ^2(c x^n)} \, dx\)
 3.252 \(\int \frac{1}{a x+b x \log ^3(c x^n)} \, dx\)
 3.253 \(\int \frac{1}{a x+b x \log ^4(c x^n)} \, dx\)
 3.254 \(\int \frac{1}{a x+\frac{b x}{\log (c x^n)}} \, dx\)
 3.255 \(\int \frac{1}{a x+\frac{b x}{\log ^2(c x^n)}} \, dx\)
 3.256 \(\int \frac{1}{a x+\frac{b x}{\log ^3(c x^n)}} \, dx\)
 3.257 \(\int \frac{1}{a x+\frac{b x}{\log ^4(c x^n)}} \, dx\)
 3.258 \(\int \frac{1}{x+x \log (7 x)+x \log ^2(7 x)} \, dx\)
 3.259 \(\int \frac{-1+\log (3 x)}{x (1-\log (3 x)+\log ^2(3 x))} \, dx\)
 3.260 \(\int \frac{-1+\log ^2(3 x)}{x+x \log ^3(3 x)} \, dx\)
 3.261 \(\int \frac{-1+\log ^2(3 x)}{x+x \log (3 x)+x \log ^2(3 x)} \, dx\)
 3.262 \(\int \frac{\log ^2(\frac{1}{x})}{x^5} \, dx\)
 3.263 \(\int \frac{1}{\sqrt{-\log (a x^2)}} \, dx\)
 3.264 \(\int \frac{1}{\sqrt{-\log (\frac{a}{x^2})}} \, dx\)
 3.265 \(\int \frac{1}{\sqrt{-\log (a x^n)}} \, dx\)
 3.266 \(\int \frac{\log (1+\sqrt{x}-x)}{x} \, dx\)
 3.267 \(\int \frac{x \log (c+d x)}{a+b x} \, dx\)
 3.268 \(\int \frac{\log (x)}{-1+x} \, dx\)
 3.269 \(\int \frac{x \log (1-a-b x)}{a+b x} \, dx\)
 3.270 \(\int \frac{(b+2 c x) \log (x)}{x (b+c x)} \, dx\)
 3.271 \(\int (\sin (x \log (x))+\log (x) \sin (x \log (x))) \, dx\)
 3.272 \(\int \frac{\log (\frac{1-(-1+x)^2}{1+(-1+x)^2})}{x^2} \, dx\)
 3.273 \(\int \log (\sqrt{x}+x) \, dx\)
 3.274 \(\int \log (-\frac{x}{1+x}) \, dx\)
 3.275 \(\int \log (\frac{-1+x}{1+x}) \, dx\)
 3.276 \(\int \frac{\log (\frac{1-x^2}{1+x^2})}{(1+x)^2} \, dx\)
 3.277 \(\int \frac{\log (c (1+x^2)^n)}{1+x^2} \, dx\)
 3.278 \(\int \frac{\log (\frac{x^2}{1+x^2})}{1+x^2} \, dx\)
 3.279 \(\int \frac{\log (\frac{c x^2}{a+b x^2})}{a+b x^2} \, dx\)
 3.280 \(\int \frac{\log (1+\frac{i \sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.281 \(\int \frac{\log (1-\frac{i \sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.282 \(\int \log (e^{a+b x}) \, dx\)
 3.283 \(\int \log (e^{a+b x^n}) \, dx\)
 3.284 \(\int e^x \log (a+b e^x) \, dx\)
 3.285 \(\int e^{a+b x} \log (x) \, dx\)
 3.286 \(\int \frac{x^2}{x+\log (x)} \, dx\)
 3.287 \(\int \frac{x}{x+\log (x)} \, dx\)
 3.288 \(\int \frac{1}{x+\log (x)} \, dx\)
 3.289 \(\int \frac{1}{x (x+\log (x))} \, dx\)
 3.290 \(\int \frac{1}{x^2 (x+\log (x))} \, dx\)
 3.291 \(\int \frac{\log (x)}{x+4 x \log ^2(x)} \, dx\)
 3.292 \(\int \frac{1-\log (x)}{x (x+\log (x))} \, dx\)
 3.293 \(\int \frac{1+x}{\log (x) (x+\log (x))} \, dx\)
 3.294 \(\int \log (2+\sqrt{\frac{1+x}{x}}) \, dx\)
 3.295 \(\int \log (1+\sqrt{\frac{1+x}{x}}) \, dx\)
 3.296 \(\int \log (\sqrt{\frac{1+x}{x}}) \, dx\)
 3.297 \(\int \log (-1+\sqrt{\frac{1+x}{x}}) \, dx\)
 3.298 \(\int \log (-2+\sqrt{\frac{1+x}{x}}) \, dx\)
 3.299 \(\int (x^{a x}+x^{a x} \log (x)) \, dx\)
 3.300 \(\int \log ^m(x)^p \, dx\)
 3.301 \(\int \frac{\log (x)}{\sqrt{a+b \log (x)}} \, dx\)
 3.302 \(\int \frac{\log (x)}{\sqrt{a-b \log (x)}} \, dx\)
 3.303 \(\int \frac{A+B \log (x)}{\sqrt{a+b \log (x)}} \, dx\)
 3.304 \(\int \frac{A+B \log (x)}{\sqrt{a-b \log (x)}} \, dx\)
 3.305 \(\int x^2 \log (\log (x) \sin (x)) \, dx\)
 3.306 \(\int x \log (\log (x) \sin (x)) \, dx\)
 3.307 \(\int \log (\log (x) \sin (x)) \, dx\)
 3.308 \(\int \frac{\log (\log (x) \sin (x))}{x} \, dx\)
 3.309 \(\int \frac{\log (\log (x) \sin (x))}{x^2} \, dx\)
 3.310 \(\int x^2 \log (e^x \log (x) \sin (x)) \, dx\)
 3.311 \(\int x \log (e^x \log (x) \sin (x)) \, dx\)
 3.312 \(\int \log (e^x \log (x) \sin (x)) \, dx\)
 3.313 \(\int \frac{\log (e^x \log (x) \sin (x))}{x} \, dx\)
 3.314 \(\int \frac{\log (e^x \log (x) \sin (x))}{x^2} \, dx\)