Chapter 3
Listing of integrals

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