3.1 \(\int x^5 \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.2 \(\int x^3 \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.3 \(\int x \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.4 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x} \, dx\)
 3.5 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^3} \, dx\)
 3.6 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^5} \, dx\)
 3.7 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^7} \, dx\)
 3.8 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^9} \, dx\)
 3.9 \(\int x^6 \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.10 \(\int x^4 \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.11 \(\int x^2 \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.12 \(\int \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.13 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^2} \, dx\)
 3.14 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^4} \, dx\)
 3.15 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^6} \, dx\)
 3.16 \(\int x^{9/2} \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.17 \(\int x^{5/2} \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.18 \(\int \sqrt{x} \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.19 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^{3/2}} \, dx\)
 3.20 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^{7/2}} \, dx\)
 3.21 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^{11/2}} \, dx\)
 3.22 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^{15/2}} \, dx\)
 3.23 \(\int x^{7/2} \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.24 \(\int x^{3/2} \tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}}) \, dx\)
 3.25 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{\sqrt{x}} \, dx\)
 3.26 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^{5/2}} \, dx\)
 3.27 \(\int \frac{\tanh ^{-1}(\frac{\sqrt{e} x}{\sqrt{d+e x^2}})}{x^{9/2}} \, dx\)
 3.28 \(\int x^3 \tanh ^{-1}(a+b x^4) \, dx\)
 3.29 \(\int x^{-1+n} \tanh ^{-1}(a+b x^n) \, dx\)
 3.30 \(\int \frac{(a+b \tanh ^{-1}(\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^n}{1-c^2 x^2} \, dx\)
 3.31 \(\int \frac{(a+b \tanh ^{-1}(\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^3}{1-c^2 x^2} \, dx\)
 3.32 \(\int \frac{(a+b \tanh ^{-1}(\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^2}{1-c^2 x^2} \, dx\)
 3.33 \(\int \frac{a+b \tanh ^{-1}(\frac{\sqrt{1-c x}}{\sqrt{1+c x}})}{1-c^2 x^2} \, dx\)
 3.34 \(\int \frac{1}{(1-c^2 x^2) (a+b \tanh ^{-1}(\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))} \, dx\)
 3.35 \(\int \frac{1}{(1-c^2 x^2) (a+b \tanh ^{-1}(\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^2} \, dx\)
 3.36 \(\int x^m \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.37 \(\int x^2 \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.38 \(\int x \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.39 \(\int \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.40 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x} \, dx\)
 3.41 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x^2} \, dx\)
 3.42 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x^3} \, dx\)
 3.43 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x^4} \, dx\)
 3.44 \(\int x^m \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.45 \(\int x^3 \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.46 \(\int x^2 \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.47 \(\int x \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.48 \(\int \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.49 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x} \, dx\)
 3.50 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^2} \, dx\)
 3.51 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^3} \, dx\)
 3.52 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^4} \, dx\)
 3.53 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^5} \, dx\)
 3.54 \(\int x^m \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.55 \(\int x^3 \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.56 \(\int x^2 \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.57 \(\int x \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.58 \(\int \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.59 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x} \, dx\)
 3.60 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^2} \, dx\)
 3.61 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^3} \, dx\)
 3.62 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^4} \, dx\)
 3.63 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^5} \, dx\)
 3.64 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^6} \, dx\)
 3.65 \(\int x^m \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.66 \(\int x^6 \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.67 \(\int x^5 \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.68 \(\int x^4 \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.69 \(\int x^3 \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.70 \(\int x^2 \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.71 \(\int x \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.72 \(\int \tanh ^{-1}(\tanh (a+b x))^4 \, dx\)
 3.73 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x} \, dx\)
 3.74 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^2} \, dx\)
 3.75 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^3} \, dx\)
 3.76 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^4} \, dx\)
 3.77 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^5} \, dx\)
 3.78 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^6} \, dx\)
 3.79 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^7} \, dx\)
 3.80 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^8} \, dx\)
 3.81 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^9} \, dx\)
 3.82 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^{10}} \, dx\)
 3.83 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^4}{x^{11}} \, dx\)
 3.84 \(\int x \tanh ^{-1}(\tanh (a+b x))^6 \, dx\)
 3.85 \(\int \frac{x^m}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.86 \(\int \frac{x^3}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.87 \(\int \frac{x^2}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.88 \(\int \frac{x}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.89 \(\int \frac{1}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.90 \(\int \frac{1}{x \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.91 \(\int \frac{1}{x^2 \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.92 \(\int \frac{1}{x^3 \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.93 \(\int \frac{x^m}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.94 \(\int \frac{x^4}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.95 \(\int \frac{x^3}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.96 \(\int \frac{x^2}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.97 \(\int \frac{x}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.98 \(\int \frac{1}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.99 \(\int \frac{1}{x \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.100 \(\int \frac{1}{x^2 \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.101 \(\int \frac{1}{x^3 \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.102 \(\int \frac{x^m}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.103 \(\int \frac{x^4}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.104 \(\int \frac{x^3}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.105 \(\int \frac{x^2}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.106 \(\int \frac{x}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.107 \(\int \frac{1}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.108 \(\int \frac{1}{x \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.109 \(\int \frac{1}{x^2 \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.110 \(\int \frac{1}{x^3 \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.111 \(\int x^4 \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.112 \(\int x^3 \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.113 \(\int x^2 \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.114 \(\int x \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.115 \(\int \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.116 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x} \, dx\)
 3.117 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^2} \, dx\)
 3.118 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^3} \, dx\)
 3.119 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^4} \, dx\)
 3.120 \(\int x^4 \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.121 \(\int x^3 \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.122 \(\int x^2 \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.123 \(\int x \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.124 \(\int \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.125 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x} \, dx\)
 3.126 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^2} \, dx\)
 3.127 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^3} \, dx\)
 3.128 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^4} \, dx\)
 3.129 \(\int x^4 \tanh ^{-1}(\tanh (a+b x))^{5/2} \, dx\)
 3.130 \(\int x^3 \tanh ^{-1}(\tanh (a+b x))^{5/2} \, dx\)
 3.131 \(\int x^2 \tanh ^{-1}(\tanh (a+b x))^{5/2} \, dx\)
 3.132 \(\int x \tanh ^{-1}(\tanh (a+b x))^{5/2} \, dx\)
 3.133 \(\int \tanh ^{-1}(\tanh (a+b x))^{5/2} \, dx\)
 3.134 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x} \, dx\)
 3.135 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^2} \, dx\)
 3.136 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^3} \, dx\)
 3.137 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^4} \, dx\)
 3.138 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^5} \, dx\)
 3.139 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^6} \, dx\)
 3.140 \(\int \frac{x^4}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.141 \(\int \frac{x^3}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.142 \(\int \frac{x^2}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.143 \(\int \frac{x}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.144 \(\int \frac{1}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.145 \(\int \frac{1}{x \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.146 \(\int \frac{1}{x^2 \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.147 \(\int \frac{1}{x^3 \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.148 \(\int \frac{1}{x^4 \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.149 \(\int \frac{x^4}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.150 \(\int \frac{x^3}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.151 \(\int \frac{x^2}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.152 \(\int \frac{x}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.153 \(\int \frac{1}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.154 \(\int \frac{1}{x \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.155 \(\int \frac{1}{x^2 \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.156 \(\int \frac{1}{x^3 \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.157 \(\int \frac{1}{x^4 \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.158 \(\int \frac{x^4}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.159 \(\int \frac{x^3}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.160 \(\int \frac{x^2}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.161 \(\int \frac{x}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.162 \(\int \frac{1}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.163 \(\int \frac{1}{x \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.164 \(\int \frac{1}{x^2 \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.165 \(\int \frac{1}{x^3 \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.166 \(\int \frac{1}{x^4 \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.167 \(\int x^{7/2} \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.168 \(\int x^{5/2} \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.169 \(\int x^{3/2} \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.170 \(\int \sqrt{x} \tanh ^{-1}(\tanh (a+b x)) \, dx\)
 3.171 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{\sqrt{x}} \, dx\)
 3.172 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x^{3/2}} \, dx\)
 3.173 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x^{5/2}} \, dx\)
 3.174 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))}{x^{7/2}} \, dx\)
 3.175 \(\int x^{7/2} \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.176 \(\int x^{5/2} \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.177 \(\int x^{3/2} \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.178 \(\int \sqrt{x} \tanh ^{-1}(\tanh (a+b x))^2 \, dx\)
 3.179 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{\sqrt{x}} \, dx\)
 3.180 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^{3/2}} \, dx\)
 3.181 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^{5/2}} \, dx\)
 3.182 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^2}{x^{7/2}} \, dx\)
 3.183 \(\int x^{7/2} \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.184 \(\int x^{5/2} \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.185 \(\int x^{3/2} \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.186 \(\int \sqrt{x} \tanh ^{-1}(\tanh (a+b x))^3 \, dx\)
 3.187 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{\sqrt{x}} \, dx\)
 3.188 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^{3/2}} \, dx\)
 3.189 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^{5/2}} \, dx\)
 3.190 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^3}{x^{7/2}} \, dx\)
 3.191 \(\int \frac{x^{7/2}}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.192 \(\int \frac{x^{5/2}}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.193 \(\int \frac{x^{3/2}}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.194 \(\int \frac{\sqrt{x}}{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.195 \(\int \frac{1}{\sqrt{x} \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.196 \(\int \frac{1}{x^{3/2} \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.197 \(\int \frac{1}{x^{5/2} \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.198 \(\int \frac{1}{x^{7/2} \tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.199 \(\int \frac{x^{7/2}}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.200 \(\int \frac{x^{5/2}}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.201 \(\int \frac{x^{3/2}}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.202 \(\int \frac{\sqrt{x}}{\tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.203 \(\int \frac{1}{\sqrt{x} \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.204 \(\int \frac{1}{x^{3/2} \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.205 \(\int \frac{1}{x^{5/2} \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.206 \(\int \frac{1}{x^{7/2} \tanh ^{-1}(\tanh (a+b x))^2} \, dx\)
 3.207 \(\int \frac{x^{7/2}}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.208 \(\int \frac{x^{5/2}}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.209 \(\int \frac{x^{3/2}}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.210 \(\int \frac{\sqrt{x}}{\tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.211 \(\int \frac{1}{\sqrt{x} \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.212 \(\int \frac{1}{x^{3/2} \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.213 \(\int \frac{1}{x^{5/2} \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.214 \(\int \frac{1}{x^{7/2} \tanh ^{-1}(\tanh (a+b x))^3} \, dx\)
 3.215 \(\int x^{3/2} \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.216 \(\int \sqrt{x} \sqrt{\tanh ^{-1}(\tanh (a+b x))} \, dx\)
 3.217 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{\sqrt{x}} \, dx\)
 3.218 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^{3/2}} \, dx\)
 3.219 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^{5/2}} \, dx\)
 3.220 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^{7/2}} \, dx\)
 3.221 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^{9/2}} \, dx\)
 3.222 \(\int \frac{\sqrt{\tanh ^{-1}(\tanh (a+b x))}}{x^{11/2}} \, dx\)
 3.223 \(\int x^{3/2} \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.224 \(\int \sqrt{x} \tanh ^{-1}(\tanh (a+b x))^{3/2} \, dx\)
 3.225 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{\sqrt{x}} \, dx\)
 3.226 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^{3/2}} \, dx\)
 3.227 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^{5/2}} \, dx\)
 3.228 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^{7/2}} \, dx\)
 3.229 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^{9/2}} \, dx\)
 3.230 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^{11/2}} \, dx\)
 3.231 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{3/2}}{x^{13/2}} \, dx\)
 3.232 \(\int \sqrt{x} \tanh ^{-1}(\tanh (a+b x))^{5/2} \, dx\)
 3.233 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{\sqrt{x}} \, dx\)
 3.234 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{3/2}} \, dx\)
 3.235 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{5/2}} \, dx\)
 3.236 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{7/2}} \, dx\)
 3.237 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{9/2}} \, dx\)
 3.238 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{11/2}} \, dx\)
 3.239 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{13/2}} \, dx\)
 3.240 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^{5/2}}{x^{15/2}} \, dx\)
 3.241 \(\int \frac{x^{5/2}}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.242 \(\int \frac{x^{3/2}}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.243 \(\int \frac{\sqrt{x}}{\sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.244 \(\int \frac{1}{\sqrt{x} \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.245 \(\int \frac{1}{x^{3/2} \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.246 \(\int \frac{1}{x^{5/2} \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.247 \(\int \frac{1}{x^{7/2} \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.248 \(\int \frac{1}{x^{9/2} \sqrt{\tanh ^{-1}(\tanh (a+b x))}} \, dx\)
 3.249 \(\int \frac{x^{7/2}}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.250 \(\int \frac{x^{5/2}}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.251 \(\int \frac{x^{3/2}}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.252 \(\int \frac{\sqrt{x}}{\tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.253 \(\int \frac{1}{\sqrt{x} \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.254 \(\int \frac{1}{x^{3/2} \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.255 \(\int \frac{1}{x^{5/2} \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.256 \(\int \frac{1}{x^{7/2} \tanh ^{-1}(\tanh (a+b x))^{3/2}} \, dx\)
 3.257 \(\int \frac{x^{7/2}}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.258 \(\int \frac{x^{5/2}}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.259 \(\int \frac{x^{3/2}}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.260 \(\int \frac{\sqrt{x}}{\tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.261 \(\int \frac{1}{\sqrt{x} \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.262 \(\int \frac{1}{x^{3/2} \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.263 \(\int \frac{1}{x^{5/2} \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.264 \(\int \frac{1}{x^{7/2} \tanh ^{-1}(\tanh (a+b x))^{5/2}} \, dx\)
 3.265 \(\int x^m \tanh ^{-1}(\tanh (a+b x))^n \, dx\)
 3.266 \(\int x^4 \tanh ^{-1}(\tanh (a+b x))^n \, dx\)
 3.267 \(\int x^3 \tanh ^{-1}(\tanh (a+b x))^n \, dx\)
 3.268 \(\int x^2 \tanh ^{-1}(\tanh (a+b x))^n \, dx\)
 3.269 \(\int x \tanh ^{-1}(\tanh (a+b x))^n \, dx\)
 3.270 \(\int \tanh ^{-1}(\tanh (a+b x))^n \, dx\)
 3.271 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^n}{x} \, dx\)
 3.272 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^n}{x^2} \, dx\)
 3.273 \(\int \frac{\tanh ^{-1}(\tanh (a+b x))^n}{x^3} \, dx\)
 3.274 \(\int x^m \coth ^{-1}(\tanh (a+b x)) \, dx\)
 3.275 \(\int x^2 \tanh ^{-1}(\coth (a+b x)) \, dx\)
 3.276 \(\int x \tanh ^{-1}(\coth (a+b x)) \, dx\)
 3.277 \(\int \tanh ^{-1}(\coth (a+b x)) \, dx\)
 3.278 \(\int \frac{\tanh ^{-1}(\coth (a+b x))}{x} \, dx\)
 3.279 \(\int \frac{\tanh ^{-1}(\coth (a+b x))}{x^2} \, dx\)
 3.280 \(\int \frac{\tanh ^{-1}(\coth (a+b x))}{x^3} \, dx\)
 3.281 \(\int \tanh ^{-1}(\cosh (x)) \, dx\)
 3.282 \(\int x \tanh ^{-1}(\cosh (x)) \, dx\)
 3.283 \(\int x^2 \tanh ^{-1}(\cosh (x)) \, dx\)
 3.284 \(\int x^2 \tanh ^{-1}(c+d \tanh (a+b x)) \, dx\)
 3.285 \(\int x \tanh ^{-1}(c+d \tanh (a+b x)) \, dx\)
 3.286 \(\int \tanh ^{-1}(c+d \tanh (a+b x)) \, dx\)
 3.287 \(\int \frac{\tanh ^{-1}(c+d \tanh (a+b x))}{x} \, dx\)
 3.288 \(\int x^3 \tanh ^{-1}(1+d+d \tanh (a+b x)) \, dx\)
 3.289 \(\int x^2 \tanh ^{-1}(1+d+d \tanh (a+b x)) \, dx\)
 3.290 \(\int x \tanh ^{-1}(1+d+d \tanh (a+b x)) \, dx\)
 3.291 \(\int \tanh ^{-1}(1+d+d \tanh (a+b x)) \, dx\)
 3.292 \(\int \frac{\tanh ^{-1}(1+d+d \tanh (a+b x))}{x} \, dx\)
 3.293 \(\int x^3 \tanh ^{-1}(1-d-d \tanh (a+b x)) \, dx\)
 3.294 \(\int x^2 \tanh ^{-1}(1-d-d \tanh (a+b x)) \, dx\)
 3.295 \(\int x \tanh ^{-1}(1-d-d \tanh (a+b x)) \, dx\)
 3.296 \(\int \tanh ^{-1}(1-d-d \tanh (a+b x)) \, dx\)
 3.297 \(\int \frac{\tanh ^{-1}(1-d-d \tanh (a+b x))}{x} \, dx\)
 3.298 \(\int x^2 \tanh ^{-1}(c+d \coth (a+b x)) \, dx\)
 3.299 \(\int x \tanh ^{-1}(c+d \coth (a+b x)) \, dx\)
 3.300 \(\int \tanh ^{-1}(c+d \coth (a+b x)) \, dx\)
 3.301 \(\int \frac{\tanh ^{-1}(c+d \coth (a+b x))}{x} \, dx\)
 3.302 \(\int x^3 \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\)
 3.303 \(\int x^2 \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\)
 3.304 \(\int x \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\)
 3.305 \(\int \tanh ^{-1}(1+d+d \coth (a+b x)) \, dx\)
 3.306 \(\int \frac{\tanh ^{-1}(1+d+d \coth (a+b x))}{x} \, dx\)
 3.307 \(\int x^3 \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\)
 3.308 \(\int x^2 \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\)
 3.309 \(\int x \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\)
 3.310 \(\int \tanh ^{-1}(1-d-d \coth (a+b x)) \, dx\)
 3.311 \(\int \frac{\tanh ^{-1}(1-d-d \coth (a+b x))}{x} \, dx\)
 3.312 \(\int (e+f x)^3 \tanh ^{-1}(\tan (a+b x)) \, dx\)
 3.313 \(\int (e+f x)^2 \tanh ^{-1}(\tan (a+b x)) \, dx\)
 3.314 \(\int (e+f x) \tanh ^{-1}(\tan (a+b x)) \, dx\)
 3.315 \(\int \tanh ^{-1}(\tan (a+b x)) \, dx\)
 3.316 \(\int \frac{\tanh ^{-1}(\tan (a+b x))}{e+f x} \, dx\)
 3.317 \(\int x^2 \tanh ^{-1}(c+d \tan (a+b x)) \, dx\)
 3.318 \(\int x \tanh ^{-1}(c+d \tan (a+b x)) \, dx\)
 3.319 \(\int \tanh ^{-1}(c+d \tan (a+b x)) \, dx\)
 3.320 \(\int \frac{\tanh ^{-1}(c+d \tan (a+b x))}{x} \, dx\)
 3.321 \(\int x^2 \tanh ^{-1}(1-i d+d \tan (a+b x)) \, dx\)
 3.322 \(\int x \tanh ^{-1}(1-i d+d \tan (a+b x)) \, dx\)
 3.323 \(\int \tanh ^{-1}(1-i d+d \tan (a+b x)) \, dx\)
 3.324 \(\int \frac{\tanh ^{-1}(1-i d+d \tan (a+b x))}{x} \, dx\)
 3.325 \(\int x^2 \tanh ^{-1}(1+i d-d \tan (a+b x)) \, dx\)
 3.326 \(\int x \tanh ^{-1}(1+i d-d \tan (a+b x)) \, dx\)
 3.327 \(\int \tanh ^{-1}(1+i d-d \tan (a+b x)) \, dx\)
 3.328 \(\int \frac{\tanh ^{-1}(1+i d-d \tan (a+b x))}{x} \, dx\)
 3.329 \(\int (e+f x)^3 \tanh ^{-1}(\cot (a+b x)) \, dx\)
 3.330 \(\int (e+f x)^2 \tanh ^{-1}(\cot (a+b x)) \, dx\)
 3.331 \(\int (e+f x) \tanh ^{-1}(\cot (a+b x)) \, dx\)
 3.332 \(\int \tanh ^{-1}(\cot (a+b x)) \, dx\)
 3.333 \(\int \frac{\tanh ^{-1}(\cot (a+b x))}{e+f x} \, dx\)
 3.334 \(\int x^2 \tanh ^{-1}(c+d \cot (a+b x)) \, dx\)
 3.335 \(\int x \tanh ^{-1}(c+d \cot (a+b x)) \, dx\)
 3.336 \(\int \tanh ^{-1}(c+d \cot (a+b x)) \, dx\)
 3.337 \(\int \frac{\tanh ^{-1}(c+d \cot (a+b x))}{x} \, dx\)
 3.338 \(\int x^2 \tanh ^{-1}(1+i d+d \cot (a+b x)) \, dx\)
 3.339 \(\int x \tanh ^{-1}(1+i d+d \cot (a+b x)) \, dx\)
 3.340 \(\int \tanh ^{-1}(1+i d+d \cot (a+b x)) \, dx\)
 3.341 \(\int \frac{\tanh ^{-1}(1+i d+d \cot (a+b x))}{x} \, dx\)
 3.342 \(\int x^2 \tanh ^{-1}(1-i d-d \cot (a+b x)) \, dx\)
 3.343 \(\int x \tanh ^{-1}(1-i d-d \cot (a+b x)) \, dx\)
 3.344 \(\int \tanh ^{-1}(1-i d-d \cot (a+b x)) \, dx\)
 3.345 \(\int \frac{\tanh ^{-1}(1-i d-d \cot (a+b x))}{x} \, dx\)
 3.346 \(\int \tanh ^{-1}(e^x) \, dx\)
 3.347 \(\int x \tanh ^{-1}(e^x) \, dx\)
 3.348 \(\int x^2 \tanh ^{-1}(e^x) \, dx\)
 3.349 \(\int \tanh ^{-1}(e^{a+b x}) \, dx\)
 3.350 \(\int x \tanh ^{-1}(e^{a+b x}) \, dx\)
 3.351 \(\int x^2 \tanh ^{-1}(e^{a+b x}) \, dx\)
 3.352 \(\int \tanh ^{-1}(a+b f^{c+d x}) \, dx\)
 3.353 \(\int x \tanh ^{-1}(a+b f^{c+d x}) \, dx\)
 3.354 \(\int x^2 \tanh ^{-1}(a+b f^{c+d x}) \, dx\)
 3.355 \(\int e^{c (a+b x)} \tanh ^{-1}(\sinh (a c+b c x)) \, dx\)
 3.356 \(\int e^{c (a+b x)} \tanh ^{-1}(\cosh (a c+b c x)) \, dx\)
 3.357 \(\int e^{c (a+b x)} \tanh ^{-1}(\tanh (a c+b c x)) \, dx\)
 3.358 \(\int e^{c (a+b x)} \tanh ^{-1}(\coth (a c+b c x)) \, dx\)
 3.359 \(\int e^{c (a+b x)} \tanh ^{-1}(\text{sech}(a c+b c x)) \, dx\)
 3.360 \(\int e^{c (a+b x)} \tanh ^{-1}(\text{csch}(a c+b c x)) \, dx\)
 3.361 \(\int \frac{(a+b \tanh ^{-1}(c x^n)) (d+e \log (f x^m))}{x} \, dx\)