3.1 \(\int x^5 \cot ^{-1}(a x) \, dx\)
 3.2 \(\int x^4 \cot ^{-1}(a x) \, dx\)
 3.3 \(\int x^3 \cot ^{-1}(a x) \, dx\)
 3.4 \(\int x^2 \cot ^{-1}(a x) \, dx\)
 3.5 \(\int x \cot ^{-1}(a x) \, dx\)
 3.6 \(\int \cot ^{-1}(a x) \, dx\)
 3.7 \(\int \frac {\cot ^{-1}(a x)}{x} \, dx\)
 3.8 \(\int \frac {\cot ^{-1}(a x)}{x^2} \, dx\)
 3.9 \(\int \frac {\cot ^{-1}(a x)}{x^3} \, dx\)
 3.10 \(\int \frac {\cot ^{-1}(a x)}{x^4} \, dx\)
 3.11 \(\int \frac {\cot ^{-1}(a x)}{x^5} \, dx\)
 3.12 \(\int x^5 \cot ^{-1}(a x)^2 \, dx\)
 3.13 \(\int x^4 \cot ^{-1}(a x)^2 \, dx\)
 3.14 \(\int x^3 \cot ^{-1}(a x)^2 \, dx\)
 3.15 \(\int x^2 \cot ^{-1}(a x)^2 \, dx\)
 3.16 \(\int x \cot ^{-1}(a x)^2 \, dx\)
 3.17 \(\int \cot ^{-1}(a x)^2 \, dx\)
 3.18 \(\int \frac {\cot ^{-1}(a x)^2}{x} \, dx\)
 3.19 \(\int \frac {\cot ^{-1}(a x)^2}{x^2} \, dx\)
 3.20 \(\int \frac {\cot ^{-1}(a x)^2}{x^3} \, dx\)
 3.21 \(\int \frac {\cot ^{-1}(a x)^2}{x^4} \, dx\)
 3.22 \(\int \frac {\cot ^{-1}(a x)^2}{x^5} \, dx\)
 3.23 \(\int x^5 \cot ^{-1}(a x)^3 \, dx\)
 3.24 \(\int x^4 \cot ^{-1}(a x)^3 \, dx\)
 3.25 \(\int x^3 \cot ^{-1}(a x)^3 \, dx\)
 3.26 \(\int x^2 \cot ^{-1}(a x)^3 \, dx\)
 3.27 \(\int x \cot ^{-1}(a x)^3 \, dx\)
 3.28 \(\int \cot ^{-1}(a x)^3 \, dx\)
 3.29 \(\int \frac {\cot ^{-1}(a x)^3}{x} \, dx\)
 3.30 \(\int \frac {\cot ^{-1}(a x)^3}{x^2} \, dx\)
 3.31 \(\int \frac {\cot ^{-1}(a x)^3}{x^3} \, dx\)
 3.32 \(\int \frac {\cot ^{-1}(a x)^3}{x^4} \, dx\)
 3.33 \(\int \frac {\cot ^{-1}(a x)^3}{x^5} \, dx\)
 3.34 \(\int x^m \cot ^{-1}(a x)^3 \, dx\)
 3.35 \(\int x^m \cot ^{-1}(a x)^2 \, dx\)
 3.36 \(\int x^m \cot ^{-1}(a x) \, dx\)
 3.37 \(\int \frac {x^4 \cot ^{-1}(x)}{1+x^2} \, dx\)
 3.38 \(\int \frac {x^3 \cot ^{-1}(x)}{1+x^2} \, dx\)
 3.39 \(\int \frac {x^2 \cot ^{-1}(x)}{1+x^2} \, dx\)
 3.40 \(\int \frac {x \cot ^{-1}(x)}{1+x^2} \, dx\)
 3.41 \(\int \frac {\cot ^{-1}(x)}{1+x^2} \, dx\)
 3.42 \(\int \frac {\cot ^{-1}(x)}{x (1+x^2)} \, dx\)
 3.43 \(\int \frac {\cot ^{-1}(x)}{x^2 (1+x^2)} \, dx\)
 3.44 \(\int \frac {\cot ^{-1}(x)}{x^3 (1+x^2)} \, dx\)
 3.45 \(\int \frac {\cot ^{-1}(x)}{x^4 (1+x^2)} \, dx\)
 3.46 \(\int \frac {x^2 \cot ^{-1}(c x)}{1+x^2} \, dx\)
 3.47 \(\int \frac {x \cot ^{-1}(c x)}{1+x^2} \, dx\)
 3.48 \(\int \frac {\cot ^{-1}(c x)}{1+x^2} \, dx\)
 3.49 \(\int \frac {\cot ^{-1}(c x)}{x (1+x^2)} \, dx\)
 3.50 \(\int \frac {\cot ^{-1}(c x)}{x^2 (1+x^2)} \, dx\)
 3.51 \(\int \frac {1}{(1+x^2) \cot ^{-1}(x)} \, dx\)
 3.52 \(\int \frac {\cot ^{-1}(x)^n}{1+x^2} \, dx\)
 3.53 \(\int (c+d x^2)^4 \cot ^{-1}(a x) \, dx\)
 3.54 \(\int (c+d x^2)^3 \cot ^{-1}(a x) \, dx\)
 3.55 \(\int (c+d x^2)^2 \cot ^{-1}(a x) \, dx\)
 3.56 \(\int (c+d x^2) \cot ^{-1}(a x) \, dx\)
 3.57 \(\int \frac {\cot ^{-1}(a x)}{c+d x^2} \, dx\)
 3.58 \(\int \frac {\cot ^{-1}(a x)}{(c+d x^2)^2} \, dx\)
 3.59 \(\int \sqrt {c+d x^2} \cot ^{-1}(a x) \, dx\)
 3.60 \(\int \frac {\cot ^{-1}(a x)}{\sqrt {c+d x^2}} \, dx\)
 3.61 \(\int \frac {\cot ^{-1}(a x)}{(c+d x^2)^{3/2}} \, dx\)
 3.62 \(\int \frac {\cot ^{-1}(a x)}{(c+d x^2)^{5/2}} \, dx\)
 3.63 \(\int \frac {\cot ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\)
 3.64 \(\int \frac {\cot ^{-1}(a x)}{(c+d x^2)^{9/2}} \, dx\)
 3.65 \(\int \sqrt {a+a x^2} \cot ^{-1}(x) \, dx\)
 3.66 \(\int \frac {\cot ^{-1}(x)}{\sqrt {a+a x^2}} \, dx\)
 3.67 \(\int \frac {\cot ^{-1}(x)}{(a+a x^2)^{3/2}} \, dx\)
 3.68 \(\int \frac {\cot ^{-1}(x)}{(a+a x^2)^{5/2}} \, dx\)
 3.69 \(\int \frac {\cot ^{-1}(x)}{(a+a x^2)^{7/2}} \, dx\)
 3.70 \(\int \frac {x \cot ^{-1}(x)}{(1+x^2)^2} \, dx\)
 3.71 \(\int \frac {x \cot ^{-1}(x)}{(1+x^2)^3} \, dx\)
 3.72 \(\int \frac {\cot ^{-1}(x)}{(1+x^2)^2} \, dx\)
 3.73 \(\int \frac {\cot ^{-1}(x)^2}{(1+x^2)^2} \, dx\)
 3.74 \(\int x^5 \cot ^{-1}(a x^2) \, dx\)
 3.75 \(\int x^3 \cot ^{-1}(a x^2) \, dx\)
 3.76 \(\int x \cot ^{-1}(a x^2) \, dx\)
 3.77 \(\int \frac {\cot ^{-1}(a x^2)}{x} \, dx\)
 3.78 \(\int \frac {\cot ^{-1}(a x^2)}{x^3} \, dx\)
 3.79 \(\int \frac {\cot ^{-1}(a x^2)}{x^5} \, dx\)
 3.80 \(\int x^4 \cot ^{-1}(a x^2) \, dx\)
 3.81 \(\int x^2 \cot ^{-1}(a x^2) \, dx\)
 3.82 \(\int \cot ^{-1}(a x^2) \, dx\)
 3.83 \(\int \frac {\cot ^{-1}(a x^2)}{x^2} \, dx\)
 3.84 \(\int \frac {\cot ^{-1}(a x^2)}{x^4} \, dx\)
 3.85 \(\int x^2 \cot ^{-1}(\sqrt {x}) \, dx\)
 3.86 \(\int x \cot ^{-1}(\sqrt {x}) \, dx\)
 3.87 \(\int \cot ^{-1}(\sqrt {x}) \, dx\)
 3.88 \(\int \frac {\cot ^{-1}(\sqrt {x})}{x} \, dx\)
 3.89 \(\int \frac {\cot ^{-1}(\sqrt {x})}{x^2} \, dx\)
 3.90 \(\int \frac {\cot ^{-1}(\sqrt {x})}{x^3} \, dx\)
 3.91 \(\int x^{3/2} \cot ^{-1}(\sqrt {x}) \, dx\)
 3.92 \(\int \sqrt {x} \cot ^{-1}(\sqrt {x}) \, dx\)
 3.93 \(\int \frac {\cot ^{-1}(\sqrt {x})}{\sqrt {x}} \, dx\)
 3.94 \(\int \frac {\cot ^{-1}(\sqrt {x})}{x^{3/2}} \, dx\)
 3.95 \(\int \frac {\cot ^{-1}(\sqrt {x})}{x^{5/2}} \, dx\)
 3.96 \(\int \cot ^{-1}(\frac {1}{x}) \, dx\)
 3.97 \(\int \frac {\cot ^{-1}(a x^n)}{x} \, dx\)
 3.98 \(\int \frac {\cot ^{-1}(a x^5)}{x} \, dx\)
 3.99 \(\int x^3 \cot ^{-1}(a+b x) \, dx\)
 3.100 \(\int x^2 \cot ^{-1}(a+b x) \, dx\)
 3.101 \(\int x \cot ^{-1}(a+b x) \, dx\)
 3.102 \(\int \cot ^{-1}(a+b x) \, dx\)
 3.103 \(\int \frac {\cot ^{-1}(a+b x)}{x} \, dx\)
 3.104 \(\int \frac {\cot ^{-1}(a+b x)}{x^2} \, dx\)
 3.105 \(\int \frac {\cot ^{-1}(a+b x)}{x^3} \, dx\)
 3.106 \(\int \frac {\cot ^{-1}(a+b x)}{x^4} \, dx\)
 3.107 \(\int \frac {\cot ^{-1}(a+b x)}{c+d x^2} \, dx\)
 3.108 \(\int \frac {\cot ^{-1}(a+b x)}{c+d x} \, dx\)
 3.109 \(\int \frac {\cot ^{-1}(a+b x)}{c+\frac {d}{x}} \, dx\)
 3.110 \(\int \frac {\cot ^{-1}(a+b x)}{c+\frac {d}{x^2}} \, dx\)
 3.111 \(\int \frac {\cot ^{-1}(a+b x)}{c+d \sqrt {x}} \, dx\)
 3.112 \(\int \frac {\cot ^{-1}(a+b x)}{c+\frac {d}{\sqrt {x}}} \, dx\)
 3.113 \(\int \frac {\cot ^{-1}(d+e x)}{a+b x+c x^2} \, dx\)
 3.114 \(\int \frac {\cot ^{-1}(a+b x)}{\sqrt {1+a^2+2 a b x+b^2 x^2}} \, dx\)
 3.115 \(\int \frac {\cot ^{-1}(a+b x)}{\sqrt {(1+a^2) c+2 a b c x+b^2 c x^2}} \, dx\)
 3.116 \(\int \frac {\cot ^{-1}(a+b x)}{\sqrt [3]{1+a^2+2 a b x+b^2 x^2}} \, dx\)
 3.117 \(\int \frac {\cot ^{-1}(a+b x)}{\sqrt [3]{(1+a^2) c+2 a b c x+b^2 c x^2}} \, dx\)
 3.118 \(\int \frac {(a+b x)^2 \cot ^{-1}(a+b x)}{\sqrt {1+a^2+2 a b x+b^2 x^2}} \, dx\)
 3.119 \(\int \frac {(a+b x)^2 \cot ^{-1}(a+b x)}{\sqrt {(1+a^2) c+2 a b c x+b^2 c x^2}} \, dx\)
 3.120 \(\int \frac {(a+b x)^2 \cot ^{-1}(a+b x)}{\sqrt [3]{1+a^2+2 a b x+b^2 x^2}} \, dx\)
 3.121 \(\int \frac {(a+b x)^2 \cot ^{-1}(a+b x)}{\sqrt [3]{(1+a^2) c+2 a b c x+b^2 c x^2}} \, dx\)
 3.122 \(\int (a+b x)^2 \cot ^{-1}(a+b x) \, dx\)
 3.123 \(\int (a+b x) \cot ^{-1}(a+b x) \, dx\)
 3.124 \(\int \frac {\cot ^{-1}(a+b x)}{a+b x} \, dx\)
 3.125 \(\int \frac {\cot ^{-1}(a+b x)}{(a+b x)^2} \, dx\)
 3.126 \(\int \frac {\cot ^{-1}(1+x)}{2+2 x} \, dx\)
 3.127 \(\int \frac {\cot ^{-1}(a+b x)}{\frac {a d}{b}+d x} \, dx\)
 3.128 \(\int (a+b x)^2 \sqrt {\cot ^{-1}(a+b x)} \, dx\)
 3.129 \(\int (e+f x)^3 (a+b \cot ^{-1}(c+d x)) \, dx\)
 3.130 \(\int (e+f x)^2 (a+b \cot ^{-1}(c+d x)) \, dx\)
 3.131 \(\int (e+f x) (a+b \cot ^{-1}(c+d x)) \, dx\)
 3.132 \(\int (a+b \cot ^{-1}(c+d x)) \, dx\)
 3.133 \(\int \frac {a+b \cot ^{-1}(c+d x)}{e+f x} \, dx\)
 3.134 \(\int \frac {a+b \cot ^{-1}(c+d x)}{(e+f x)^2} \, dx\)
 3.135 \(\int \frac {a+b \cot ^{-1}(c+d x)}{(e+f x)^3} \, dx\)
 3.136 \(\int (e+f x)^2 (a+b \cot ^{-1}(c+d x))^2 \, dx\)
 3.137 \(\int (e+f x) (a+b \cot ^{-1}(c+d x))^2 \, dx\)
 3.138 \(\int (a+b \cot ^{-1}(c+d x))^2 \, dx\)
 3.139 \(\int \frac {(a+b \cot ^{-1}(c+d x))^2}{e+f x} \, dx\)
 3.140 \(\int \frac {(a+b \cot ^{-1}(c+d x))^2}{(e+f x)^2} \, dx\)
 3.141 \(\int (e+f x)^2 (a+b \cot ^{-1}(c+d x))^3 \, dx\)
 3.142 \(\int (e+f x) (a+b \cot ^{-1}(c+d x))^3 \, dx\)
 3.143 \(\int (a+b \cot ^{-1}(c+d x))^3 \, dx\)
 3.144 \(\int \frac {(a+b \cot ^{-1}(c+d x))^3}{e+f x} \, dx\)
 3.145 \(\int \frac {(a+b \cot ^{-1}(c+d x))^3}{(e+f x)^2} \, dx\)
 3.146 \(\int (e+f x)^m (a+b \cot ^{-1}(c+d x)) \, dx\)
 3.147 \(\int (e+f x)^m (a+b \cot ^{-1}(c+d x))^2 \, dx\)
 3.148 \(\int (e+f x)^m (a+b \cot ^{-1}(c+d x))^3 \, dx\)
 3.149 \(\int x^3 \cot ^{-1}(a+b x^4) \, dx\)
 3.150 \(\int x^{-1+n} \cot ^{-1}(a+b x^n) \, dx\)
 3.151 \(\int \frac {(a+b \cot ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^n}{1-c^2 x^2} \, dx\)
 3.152 \(\int \frac {(a+b \cot ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^3}{1-c^2 x^2} \, dx\)
 3.153 \(\int \frac {(a+b \cot ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^2}{1-c^2 x^2} \, dx\)
 3.154 \(\int \frac {a+b \cot ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}})}{1-c^2 x^2} \, dx\)
 3.155 \(\int \frac {1}{(1-c^2 x^2) (a+b \cot ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))} \, dx\)
 3.156 \(\int \frac {1}{(1-c^2 x^2) (a+b \cot ^{-1}(\frac {\sqrt {1-c x}}{\sqrt {1+c x}}))^2} \, dx\)
 3.157 \(\int \cot ^{-1}(\tan (a+b x)) \, dx\)
 3.158 \(\int x^2 \cot ^{-1}(c+d \tan (a+b x)) \, dx\)
 3.159 \(\int x \cot ^{-1}(c+d \tan (a+b x)) \, dx\)
 3.160 \(\int \cot ^{-1}(c+d \tan (a+b x)) \, dx\)
 3.161 \(\int \frac {\cot ^{-1}(c+d \tan (a+b x))}{x} \, dx\)
 3.162 \(\int x^2 \cot ^{-1}(c+(1+i c) \tan (a+b x)) \, dx\)
 3.163 \(\int x \cot ^{-1}(c+(1+i c) \tan (a+b x)) \, dx\)
 3.164 \(\int \cot ^{-1}(c+(1+i c) \tan (a+b x)) \, dx\)
 3.165 \(\int \frac {\cot ^{-1}(c+(1+i c) \tan (a+b x))}{x} \, dx\)
 3.166 \(\int x^2 \cot ^{-1}(c-(1-i c) \tan (a+b x)) \, dx\)
 3.167 \(\int x \cot ^{-1}(c-(1-i c) \tan (a+b x)) \, dx\)
 3.168 \(\int \cot ^{-1}(c-(1-i c) \tan (a+b x)) \, dx\)
 3.169 \(\int \frac {\cot ^{-1}(c-(1-i c) \tan (a+b x))}{x} \, dx\)
 3.170 \(\int \cot ^{-1}(\cot (a+b x)) \, dx\)
 3.171 \(\int x^2 \cot ^{-1}(c+d \cot (a+b x)) \, dx\)
 3.172 \(\int x \cot ^{-1}(c+d \cot (a+b x)) \, dx\)
 3.173 \(\int \cot ^{-1}(c+d \cot (a+b x)) \, dx\)
 3.174 \(\int \frac {\cot ^{-1}(c+d \cot (a+b x))}{x} \, dx\)
 3.175 \(\int x^2 \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx\)
 3.176 \(\int x \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx\)
 3.177 \(\int \cot ^{-1}(c+(1-i c) \cot (a+b x)) \, dx\)
 3.178 \(\int \frac {\cot ^{-1}(c+(1-i c) \cot (a+b x))}{x} \, dx\)
 3.179 \(\int x^2 \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx\)
 3.180 \(\int x \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx\)
 3.181 \(\int \cot ^{-1}(c-(1+i c) \cot (a+b x)) \, dx\)
 3.182 \(\int \frac {\cot ^{-1}(c-(1+i c) \cot (a+b x))}{x} \, dx\)
 3.183 \(\int (e+f x)^3 \cot ^{-1}(\tanh (a+b x)) \, dx\)
 3.184 \(\int (e+f x)^2 \cot ^{-1}(\tanh (a+b x)) \, dx\)
 3.185 \(\int (e+f x) \cot ^{-1}(\tanh (a+b x)) \, dx\)
 3.186 \(\int \cot ^{-1}(\tanh (a+b x)) \, dx\)
 3.187 \(\int \frac {\cot ^{-1}(\tanh (a+b x))}{e+f x} \, dx\)
 3.188 \(\int x^2 \cot ^{-1}(c+d \tanh (a+b x)) \, dx\)
 3.189 \(\int x \cot ^{-1}(c+d \tanh (a+b x)) \, dx\)
 3.190 \(\int \cot ^{-1}(c+d \tanh (a+b x)) \, dx\)
 3.191 \(\int \frac {\cot ^{-1}(c+d \tanh (a+b x))}{x} \, dx\)
 3.192 \(\int x^2 \cot ^{-1}(c+(i+c) \tanh (a+b x)) \, dx\)
 3.193 \(\int x \cot ^{-1}(c+(i+c) \tanh (a+b x)) \, dx\)
 3.194 \(\int \cot ^{-1}(c+(i+c) \tanh (a+b x)) \, dx\)
 3.195 \(\int \frac {\cot ^{-1}(c+(i+c) \tanh (a+b x))}{x} \, dx\)
 3.196 \(\int x^2 \cot ^{-1}(c-(i-c) \tanh (a+b x)) \, dx\)
 3.197 \(\int x \cot ^{-1}(c-(i-c) \tanh (a+b x)) \, dx\)
 3.198 \(\int \cot ^{-1}(c-(i-c) \tanh (a+b x)) \, dx\)
 3.199 \(\int \frac {\cot ^{-1}(c-(i-c) \tanh (a+b x))}{x} \, dx\)
 3.200 \(\int (e+f x)^3 \cot ^{-1}(\coth (a+b x)) \, dx\)
 3.201 \(\int (e+f x)^2 \cot ^{-1}(\coth (a+b x)) \, dx\)
 3.202 \(\int (e+f x) \cot ^{-1}(\coth (a+b x)) \, dx\)
 3.203 \(\int \cot ^{-1}(\coth (a+b x)) \, dx\)
 3.204 \(\int \frac {\cot ^{-1}(\coth (a+b x))}{e+f x} \, dx\)
 3.205 \(\int x^2 \cot ^{-1}(c+d \coth (a+b x)) \, dx\)
 3.206 \(\int x \cot ^{-1}(c+d \coth (a+b x)) \, dx\)
 3.207 \(\int \cot ^{-1}(c+d \coth (a+b x)) \, dx\)
 3.208 \(\int \frac {\cot ^{-1}(c+d \coth (a+b x))}{x} \, dx\)
 3.209 \(\int x^2 \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx\)
 3.210 \(\int x \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx\)
 3.211 \(\int \cot ^{-1}(c+(i+c) \coth (a+b x)) \, dx\)
 3.212 \(\int \frac {\cot ^{-1}(c+(i+c) \coth (a+b x))}{x} \, dx\)
 3.213 \(\int x^2 \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx\)
 3.214 \(\int x \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx\)
 3.215 \(\int \cot ^{-1}(c-(i-c) \coth (a+b x)) \, dx\)
 3.216 \(\int \frac {\cot ^{-1}(c-(i-c) \coth (a+b x))}{x} \, dx\)
 3.217 \(\int \frac {(a+b \cot ^{-1}(c x^n)) (d+e \log (f x^m))}{x} \, dx\)
 3.218 \(\int \cot ^{-1}(e^x) \, dx\)
 3.219 \(\int x \cot ^{-1}(e^x) \, dx\)
 3.220 \(\int x^2 \cot ^{-1}(e^x) \, dx\)
 3.221 \(\int \cot ^{-1}(e^{a+b x}) \, dx\)
 3.222 \(\int x \cot ^{-1}(e^{a+b x}) \, dx\)
 3.223 \(\int x^2 \cot ^{-1}(e^{a+b x}) \, dx\)
 3.224 \(\int \cot ^{-1}(a+b f^{c+d x}) \, dx\)
 3.225 \(\int x \cot ^{-1}(a+b f^{c+d x}) \, dx\)
 3.226 \(\int x^2 \cot ^{-1}(a+b f^{c+d x}) \, dx\)
 3.227 \(\int e^{-x} \cot ^{-1}(e^x) \, dx\)
 3.228 \(\int \frac {1}{(a+a x^2) (b-2 b \cot ^{-1}(x))} \, dx\)
 3.229 \(\int e^{c (a+b x)} \cot ^{-1}(\sinh (a c+b c x)) \, dx\)
 3.230 \(\int e^{c (a+b x)} \cot ^{-1}(\cosh (a c+b c x)) \, dx\)
 3.231 \(\int e^{c (a+b x)} \cot ^{-1}(\tanh (a c+b c x)) \, dx\)
 3.232 \(\int e^{c (a+b x)} \cot ^{-1}(\coth (a c+b c x)) \, dx\)
 3.233 \(\int e^{c (a+b x)} \cot ^{-1}(\text {sech}(a c+b c x)) \, dx\)
 3.234 \(\int e^{c (a+b x)} \cot ^{-1}(\text {csch}(a c+b c x)) \, dx\)