3.1 \(\int x^3 (d+c d x) (a+b \tanh ^{-1}(c x)) \, dx\)
 3.2 \(\int x^2 (d+c d x) (a+b \tanh ^{-1}(c x)) \, dx\)
 3.3 \(\int x (d+c d x) (a+b \tanh ^{-1}(c x)) \, dx\)
 3.4 \(\int (d+c d x) (a+b \tanh ^{-1}(c x)) \, dx\)
 3.5 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))}{x} \, dx\)
 3.6 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))}{x^2} \, dx\)
 3.7 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))}{x^3} \, dx\)
 3.8 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))}{x^4} \, dx\)
 3.9 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))}{x^5} \, dx\)
 3.10 \(\int x^3 (d+c d x)^2 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.11 \(\int x^2 (d+c d x)^2 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.12 \(\int x (d+c d x)^2 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.13 \(\int (d+c d x)^2 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.14 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))}{x} \, dx\)
 3.15 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))}{x^2} \, dx\)
 3.16 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))}{x^3} \, dx\)
 3.17 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))}{x^4} \, dx\)
 3.18 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))}{x^5} \, dx\)
 3.19 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))}{x^6} \, dx\)
 3.20 \(\int x^3 (d+c d x)^3 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.21 \(\int x^2 (d+c d x)^3 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.22 \(\int x (d+c d x)^3 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.23 \(\int (d+c d x)^3 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.24 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x} \, dx\)
 3.25 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x^2} \, dx\)
 3.26 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x^3} \, dx\)
 3.27 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x^4} \, dx\)
 3.28 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x^5} \, dx\)
 3.29 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x^6} \, dx\)
 3.30 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))}{x^7} \, dx\)
 3.31 \(\int x^3 (d+c d x)^4 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.32 \(\int x^2 (d+c d x)^4 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.33 \(\int x (d+c d x)^4 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.34 \(\int (d+c d x)^4 (a+b \tanh ^{-1}(c x)) \, dx\)
 3.35 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x} \, dx\)
 3.36 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^2} \, dx\)
 3.37 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^3} \, dx\)
 3.38 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^4} \, dx\)
 3.39 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^5} \, dx\)
 3.40 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^6} \, dx\)
 3.41 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^7} \, dx\)
 3.42 \(\int \frac{(d+c d x)^4 (a+b \tanh ^{-1}(c x))}{x^8} \, dx\)
 3.43 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))}{d+c d x} \, dx\)
 3.44 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))}{d+c d x} \, dx\)
 3.45 \(\int \frac{x (a+b \tanh ^{-1}(c x))}{d+c d x} \, dx\)
 3.46 \(\int \frac{a+b \tanh ^{-1}(c x)}{d+c d x} \, dx\)
 3.47 \(\int \frac{a+b \tanh ^{-1}(c x)}{x (d+c d x)} \, dx\)
 3.48 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^2 (d+c d x)} \, dx\)
 3.49 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^3 (d+c d x)} \, dx\)
 3.50 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^4 (d+c d x)} \, dx\)
 3.51 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))}{(d+c d x)^2} \, dx\)
 3.52 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))}{(d+c d x)^2} \, dx\)
 3.53 \(\int \frac{x (a+b \tanh ^{-1}(c x))}{(d+c d x)^2} \, dx\)
 3.54 \(\int \frac{a+b \tanh ^{-1}(c x)}{(d+c d x)^2} \, dx\)
 3.55 \(\int \frac{a+b \tanh ^{-1}(c x)}{x (d+c d x)^2} \, dx\)
 3.56 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^2 (d+c d x)^2} \, dx\)
 3.57 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^3 (d+c d x)^2} \, dx\)
 3.58 \(\int \frac{x^4 (a+b \tanh ^{-1}(c x))}{(d+c d x)^3} \, dx\)
 3.59 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))}{(d+c d x)^3} \, dx\)
 3.60 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))}{(d+c d x)^3} \, dx\)
 3.61 \(\int \frac{x (a+b \tanh ^{-1}(c x))}{(d+c d x)^3} \, dx\)
 3.62 \(\int \frac{a+b \tanh ^{-1}(c x)}{(d+c d x)^3} \, dx\)
 3.63 \(\int \frac{a+b \tanh ^{-1}(c x)}{x (d+c d x)^3} \, dx\)
 3.64 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^2 (d+c d x)^3} \, dx\)
 3.65 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^3 (d+c d x)^3} \, dx\)
 3.66 \(\int \frac{a+b \tanh ^{-1}(c x)}{(1+c x)^4} \, dx\)
 3.67 \(\int \frac{\tanh ^{-1}(a x)}{c x+a c x^2} \, dx\)
 3.68 \(\int x^3 (d+c d x) (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.69 \(\int x^2 (d+c d x) (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.70 \(\int x (d+c d x) (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.71 \(\int (d+c d x) (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.72 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))^2}{x} \, dx\)
 3.73 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))^2}{x^2} \, dx\)
 3.74 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))^2}{x^3} \, dx\)
 3.75 \(\int \frac{(d+c d x) (a+b \tanh ^{-1}(c x))^2}{x^4} \, dx\)
 3.76 \(\int x^3 (d+c d x)^2 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.77 \(\int x^2 (d+c d x)^2 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.78 \(\int x (d+c d x)^2 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.79 \(\int (d+c d x)^2 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.80 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))^2}{x} \, dx\)
 3.81 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))^2}{x^2} \, dx\)
 3.82 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))^2}{x^3} \, dx\)
 3.83 \(\int \frac{(d+c d x)^2 (a+b \tanh ^{-1}(c x))^2}{x^4} \, dx\)
 3.84 \(\int x^3 (d+c d x)^3 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.85 \(\int x^2 (d+c d x)^3 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.86 \(\int x (d+c d x)^3 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.87 \(\int (d+c d x)^3 (a+b \tanh ^{-1}(c x))^2 \, dx\)
 3.88 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x} \, dx\)
 3.89 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x^2} \, dx\)
 3.90 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x^3} \, dx\)
 3.91 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x^4} \, dx\)
 3.92 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x^5} \, dx\)
 3.93 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x^6} \, dx\)
 3.94 \(\int \frac{(d+c d x)^3 (a+b \tanh ^{-1}(c x))^2}{x^7} \, dx\)
 3.95 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))^2}{d+c d x} \, dx\)
 3.96 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))^2}{d+c d x} \, dx\)
 3.97 \(\int \frac{x (a+b \tanh ^{-1}(c x))^2}{d+c d x} \, dx\)
 3.98 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{d+c d x} \, dx\)
 3.99 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x (d+c d x)} \, dx\)
 3.100 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^2 (d+c d x)} \, dx\)
 3.101 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^3 (d+c d x)} \, dx\)
 3.102 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^4 (d+c d x)} \, dx\)
 3.103 \(\int \frac{x^4 (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^2} \, dx\)
 3.104 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^2} \, dx\)
 3.105 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^2} \, dx\)
 3.106 \(\int \frac{x (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^2} \, dx\)
 3.107 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{(d+c d x)^2} \, dx\)
 3.108 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x (d+c d x)^2} \, dx\)
 3.109 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^2 (d+c d x)^2} \, dx\)
 3.110 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^3 (d+c d x)^2} \, dx\)
 3.111 \(\int \frac{x^4 (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^3} \, dx\)
 3.112 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^3} \, dx\)
 3.113 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^3} \, dx\)
 3.114 \(\int \frac{x (a+b \tanh ^{-1}(c x))^2}{(d+c d x)^3} \, dx\)
 3.115 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{(d+c d x)^3} \, dx\)
 3.116 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x (d+c d x)^3} \, dx\)
 3.117 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^2 (d+c d x)^3} \, dx\)
 3.118 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{(1+c x)^4} \, dx\)
 3.119 \(\int \frac{\tanh ^{-1}(a x)^2}{c x-a c x^2} \, dx\)
 3.120 \(\int (1+c x)^3 (a+b \tanh ^{-1}(c x))^3 \, dx\)
 3.121 \(\int (1+c x)^2 (a+b \tanh ^{-1}(c x))^3 \, dx\)
 3.122 \(\int (1+c x) (a+b \tanh ^{-1}(c x))^3 \, dx\)
 3.123 \(\int \frac{(a+b \tanh ^{-1}(c x))^3}{1+c x} \, dx\)
 3.124 \(\int \frac{(a+b \tanh ^{-1}(c x))^3}{(1+c x)^2} \, dx\)
 3.125 \(\int \frac{(a+b \tanh ^{-1}(c x))^3}{(1+c x)^3} \, dx\)
 3.126 \(\int \frac{(a+b \tanh ^{-1}(c x))^3}{(1+c x)^4} \, dx\)
 3.127 \(\int \frac{x^2 \tanh ^{-1}(a x)^3}{c+a c x} \, dx\)
 3.128 \(\int \frac{x \tanh ^{-1}(a x)^3}{c+a c x} \, dx\)
 3.129 \(\int \frac{\tanh ^{-1}(a x)^3}{c+a c x} \, dx\)
 3.130 \(\int \frac{\tanh ^{-1}(a x)^3}{x (c+a c x)} \, dx\)
 3.131 \(\int \frac{\tanh ^{-1}(a x)^3}{c x+a c x^2} \, dx\)
 3.132 \(\int \frac{\tanh ^{-1}(a x)^3}{x^2 (c+a c x)} \, dx\)
 3.133 \(\int \frac{\tanh ^{-1}(a x)^3}{x^3 (c+a c x)} \, dx\)
 3.134 \(\int \frac{x^2 \tanh ^{-1}(a x)^4}{c-a c x} \, dx\)
 3.135 \(\int \frac{x \tanh ^{-1}(a x)^4}{c-a c x} \, dx\)
 3.136 \(\int \frac{\tanh ^{-1}(a x)^4}{c-a c x} \, dx\)
 3.137 \(\int \frac{\tanh ^{-1}(a x)^4}{x (c-a c x)} \, dx\)
 3.138 \(\int \frac{\tanh ^{-1}(a x)^4}{c x-a c x^2} \, dx\)
 3.139 \(\int \frac{\tanh ^{-1}(a x)^4}{x^2 (c-a c x)} \, dx\)
 3.140 \(\int \frac{\tanh ^{-1}(a x)^4}{x^3 (c-a c x)} \, dx\)
 3.141 \(\int \frac{x}{(c+a c x) \tanh ^{-1}(a x)} \, dx\)
 3.142 \(\int \frac{1}{(c+a c x) \tanh ^{-1}(a x)} \, dx\)
 3.143 \(\int \frac{1}{x (c+a c x) \tanh ^{-1}(a x)} \, dx\)
 3.144 \(\int \frac{x}{(c+a c x) \tanh ^{-1}(a x)^2} \, dx\)
 3.145 \(\int \frac{1}{(c+a c x) \tanh ^{-1}(a x)^2} \, dx\)
 3.146 \(\int \frac{1}{x (c+a c x) \tanh ^{-1}(a x)^2} \, dx\)
 3.147 \(\int \frac{x^3 (a+b \tanh ^{-1}(c x))}{d+e x} \, dx\)
 3.148 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))}{d+e x} \, dx\)
 3.149 \(\int \frac{x (a+b \tanh ^{-1}(c x))}{d+e x} \, dx\)
 3.150 \(\int \frac{a+b \tanh ^{-1}(c x)}{d+e x} \, dx\)
 3.151 \(\int \frac{a+b \tanh ^{-1}(c x)}{x (d+e x)} \, dx\)
 3.152 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^2 (d+e x)} \, dx\)
 3.153 \(\int \frac{a+b \tanh ^{-1}(c x)}{x^3 (d+e x)} \, dx\)
 3.154 \(\int \frac{x^2 (a+b \tanh ^{-1}(c x))^2}{d+e x} \, dx\)
 3.155 \(\int \frac{x (a+b \tanh ^{-1}(c x))^2}{d+e x} \, dx\)
 3.156 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{d+e x} \, dx\)
 3.157 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x (d+e x)} \, dx\)
 3.158 \(\int \frac{(a+b \tanh ^{-1}(c x))^2}{x^2 (d+e x)} \, dx\)
 3.159 \(\int \frac{\tanh ^{-1}(c x)^2}{x (d+e x)} \, dx\)
 3.160 \(\int \frac{1}{(d+e x) (a+b \tan ^{-1}(c x))} \, dx\)
 3.161 \(\int x^4 (1-a^2 x^2) \tanh ^{-1}(a x) \, dx\)
 3.162 \(\int x^3 (1-a^2 x^2) \tanh ^{-1}(a x) \, dx\)
 3.163 \(\int x^2 (1-a^2 x^2) \tanh ^{-1}(a x) \, dx\)
 3.164 \(\int x (1-a^2 x^2) \tanh ^{-1}(a x) \, dx\)
 3.165 \(\int (1-a^2 x^2) \tanh ^{-1}(a x) \, dx\)
 3.166 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)}{x} \, dx\)
 3.167 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)}{x^2} \, dx\)
 3.168 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)}{x^3} \, dx\)
 3.169 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)}{x^4} \, dx\)
 3.170 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)}{x^5} \, dx\)
 3.171 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)}{x^6} \, dx\)
 3.172 \(\int x^4 (1-a^2 x^2) \tanh ^{-1}(a x)^2 \, dx\)
 3.173 \(\int x^3 (1-a^2 x^2) \tanh ^{-1}(a x)^2 \, dx\)
 3.174 \(\int x^2 (1-a^2 x^2) \tanh ^{-1}(a x)^2 \, dx\)
 3.175 \(\int x (1-a^2 x^2) \tanh ^{-1}(a x)^2 \, dx\)
 3.176 \(\int (1-a^2 x^2) \tanh ^{-1}(a x)^2 \, dx\)
 3.177 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)^2}{x} \, dx\)
 3.178 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)^2}{x^2} \, dx\)
 3.179 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)^2}{x^3} \, dx\)
 3.180 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)^2}{x^4} \, dx\)
 3.181 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)^2}{x^5} \, dx\)
 3.182 \(\int \frac{(1-a^2 x^2) \tanh ^{-1}(a x)^2}{x^6} \, dx\)
 3.183 \(\int (1-a^2 x^2) \tanh ^{-1}(a x)^3 \, dx\)
 3.184 \(\int \frac{x \tanh ^{-1}(\frac{x}{\sqrt{2}})}{1-x^2} \, dx\)
 3.185 \(\int \frac{x (1-a^2 x^2)}{\tanh ^{-1}(a x)} \, dx\)
 3.186 \(\int \frac{1-a^2 x^2}{\tanh ^{-1}(a x)} \, dx\)
 3.187 \(\int \frac{1-a^2 x^2}{x \tanh ^{-1}(a x)} \, dx\)
 3.188 \(\int \frac{x (1-a^2 x^2)}{\tanh ^{-1}(a x)^2} \, dx\)
 3.189 \(\int \frac{1-a^2 x^2}{\tanh ^{-1}(a x)^2} \, dx\)
 3.190 \(\int \frac{1-a^2 x^2}{x \tanh ^{-1}(a x)^2} \, dx\)
 3.191 \(\int \frac{1-a^2 x^2}{\tanh ^{-1}(a x)^3} \, dx\)
 3.192 \(\int x^4 (1-a^2 x^2)^2 \tanh ^{-1}(a x) \, dx\)
 3.193 \(\int x^3 (1-a^2 x^2)^2 \tanh ^{-1}(a x) \, dx\)
 3.194 \(\int x^2 (1-a^2 x^2)^2 \tanh ^{-1}(a x) \, dx\)
 3.195 \(\int x (1-a^2 x^2)^2 \tanh ^{-1}(a x) \, dx\)
 3.196 \(\int (1-a^2 x^2)^2 \tanh ^{-1}(a x) \, dx\)
 3.197 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)}{x} \, dx\)
 3.198 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)}{x^2} \, dx\)
 3.199 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)}{x^3} \, dx\)
 3.200 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)}{x^4} \, dx\)
 3.201 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)}{x^5} \, dx\)
 3.202 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)}{x^6} \, dx\)
 3.203 \(\int x^4 (1-a^2 x^2)^2 \tanh ^{-1}(a x)^2 \, dx\)
 3.204 \(\int x^3 (1-a^2 x^2)^2 \tanh ^{-1}(a x)^2 \, dx\)
 3.205 \(\int x^2 (1-a^2 x^2)^2 \tanh ^{-1}(a x)^2 \, dx\)
 3.206 \(\int x (1-a^2 x^2)^2 \tanh ^{-1}(a x)^2 \, dx\)
 3.207 \(\int (1-a^2 x^2)^2 \tanh ^{-1}(a x)^2 \, dx\)
 3.208 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x} \, dx\)
 3.209 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^2} \, dx\)
 3.210 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^3} \, dx\)
 3.211 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^4} \, dx\)
 3.212 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^5} \, dx\)
 3.213 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^6} \, dx\)
 3.214 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^7} \, dx\)
 3.215 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^8} \, dx\)
 3.216 \(\int \frac{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2}{x^9} \, dx\)
 3.217 \(\int (1-a^2 x^2)^2 \tanh ^{-1}(a x)^3 \, dx\)
 3.218 \(\int \frac{x (1-a^2 x^2)^2}{\tanh ^{-1}(a x)} \, dx\)
 3.219 \(\int \frac{(1-a^2 x^2)^2}{\tanh ^{-1}(a x)} \, dx\)
 3.220 \(\int \frac{(1-a^2 x^2)^2}{x \tanh ^{-1}(a x)} \, dx\)
 3.221 \(\int \frac{x (1-a^2 x^2)^2}{\tanh ^{-1}(a x)^2} \, dx\)
 3.222 \(\int \frac{(1-a^2 x^2)^2}{\tanh ^{-1}(a x)^2} \, dx\)
 3.223 \(\int \frac{(1-a^2 x^2)^2}{x \tanh ^{-1}(a x)^2} \, dx\)
 3.224 \(\int (1-a^2 x^2)^3 \tanh ^{-1}(a x) \, dx\)
 3.225 \(\int (1-a^2 x^2)^3 \tanh ^{-1}(a x)^2 \, dx\)
 3.226 \(\int (1-a^2 x^2)^3 \tanh ^{-1}(a x)^3 \, dx\)
 3.227 \(\int \frac{x^3 \tanh ^{-1}(a x)}{1-a^2 x^2} \, dx\)
 3.228 \(\int \frac{x^2 \tanh ^{-1}(a x)}{1-a^2 x^2} \, dx\)
 3.229 \(\int \frac{x \tanh ^{-1}(a x)}{1-a^2 x^2} \, dx\)
 3.230 \(\int \frac{\tanh ^{-1}(a x)}{1-a^2 x^2} \, dx\)
 3.231 \(\int \frac{\tanh ^{-1}(a x)}{x (1-a^2 x^2)} \, dx\)
 3.232 \(\int \frac{\tanh ^{-1}(a x)}{x^2 (1-a^2 x^2)} \, dx\)
 3.233 \(\int \frac{\tanh ^{-1}(a x)}{x^3 (1-a^2 x^2)} \, dx\)
 3.234 \(\int \frac{x^3 \tanh ^{-1}(a x)^2}{1-a^2 x^2} \, dx\)
 3.235 \(\int \frac{x^2 \tanh ^{-1}(a x)^2}{1-a^2 x^2} \, dx\)
 3.236 \(\int \frac{x \tanh ^{-1}(a x)^2}{1-a^2 x^2} \, dx\)
 3.237 \(\int \frac{\tanh ^{-1}(a x)^2}{1-a^2 x^2} \, dx\)
 3.238 \(\int \frac{\tanh ^{-1}(a x)^2}{x (1-a^2 x^2)} \, dx\)
 3.239 \(\int \frac{\tanh ^{-1}(a x)^2}{x^2 (1-a^2 x^2)} \, dx\)
 3.240 \(\int \frac{\tanh ^{-1}(a x)^2}{x^3 (1-a^2 x^2)} \, dx\)
 3.241 \(\int \frac{x^3 \tanh ^{-1}(a x)^3}{1-a^2 x^2} \, dx\)
 3.242 \(\int \frac{x^2 \tanh ^{-1}(a x)^3}{1-a^2 x^2} \, dx\)
 3.243 \(\int \frac{x \tanh ^{-1}(a x)^3}{1-a^2 x^2} \, dx\)
 3.244 \(\int \frac{\tanh ^{-1}(a x)^3}{1-a^2 x^2} \, dx\)
 3.245 \(\int \frac{\tanh ^{-1}(a x)^3}{x (1-a^2 x^2)} \, dx\)
 3.246 \(\int \frac{\tanh ^{-1}(a x)^3}{x^2 (1-a^2 x^2)} \, dx\)
 3.247 \(\int \frac{\tanh ^{-1}(a x)^3}{x^3 (1-a^2 x^2)} \, dx\)
 3.248 \(\int \frac{\sqrt{\tanh ^{-1}(a x)}}{1-a^2 x^2} \, dx\)
 3.249 \(\int \frac{x}{(1-a^2 x^2) \tanh ^{-1}(a x)} \, dx\)
 3.250 \(\int \frac{1}{(1-a^2 x^2) \tanh ^{-1}(a x)} \, dx\)
 3.251 \(\int \frac{1}{x (1-a^2 x^2) \tanh ^{-1}(a x)} \, dx\)
 3.252 \(\int \frac{x}{(1-a^2 x^2) \tanh ^{-1}(a x)^2} \, dx\)
 3.253 \(\int \frac{1}{(1-a^2 x^2) \tanh ^{-1}(a x)^2} \, dx\)
 3.254 \(\int \frac{1}{x (1-a^2 x^2) \tanh ^{-1}(a x)^2} \, dx\)
 3.255 \(\int \frac{x}{(1-a^2 x^2) \tanh ^{-1}(a x)^3} \, dx\)
 3.256 \(\int \frac{1}{(1-a^2 x^2) \tanh ^{-1}(a x)^3} \, dx\)
 3.257 \(\int \frac{1}{x (1-a^2 x^2) \tanh ^{-1}(a x)^3} \, dx\)
 3.258 \(\int \frac{\tanh ^{-1}(a x)^p}{1-a^2 x^2} \, dx\)
 3.259 \(\int \frac{x^3 \tanh ^{-1}(a x)}{(1-a^2 x^2)^2} \, dx\)
 3.260 \(\int \frac{x^2 \tanh ^{-1}(a x)}{(1-a^2 x^2)^2} \, dx\)
 3.261 \(\int \frac{x \tanh ^{-1}(a x)}{(1-a^2 x^2)^2} \, dx\)
 3.262 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^2} \, dx\)
 3.263 \(\int \frac{\tanh ^{-1}(a x)}{x (1-a^2 x^2)^2} \, dx\)
 3.264 \(\int \frac{\tanh ^{-1}(a x)}{x^2 (1-a^2 x^2)^2} \, dx\)
 3.265 \(\int \frac{\tanh ^{-1}(a x)}{x^3 (1-a^2 x^2)^2} \, dx\)
 3.266 \(\int \frac{x^3 \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^2} \, dx\)
 3.267 \(\int \frac{x^2 \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^2} \, dx\)
 3.268 \(\int \frac{x \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^2} \, dx\)
 3.269 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^2} \, dx\)
 3.270 \(\int \frac{\tanh ^{-1}(a x)^2}{x (1-a^2 x^2)^2} \, dx\)
 3.271 \(\int \frac{\tanh ^{-1}(a x)^2}{x^2 (1-a^2 x^2)^2} \, dx\)
 3.272 \(\int \frac{\tanh ^{-1}(a x)^2}{x^3 (1-a^2 x^2)^2} \, dx\)
 3.273 \(\int \frac{x^3 \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^2} \, dx\)
 3.274 \(\int \frac{x^2 \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^2} \, dx\)
 3.275 \(\int \frac{x \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^2} \, dx\)
 3.276 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^2} \, dx\)
 3.277 \(\int \frac{\tanh ^{-1}(a x)^3}{x (1-a^2 x^2)^2} \, dx\)
 3.278 \(\int \frac{\tanh ^{-1}(a x)^3}{x^2 (1-a^2 x^2)^2} \, dx\)
 3.279 \(\int \frac{\tanh ^{-1}(a x)^3}{x^3 (1-a^2 x^2)^2} \, dx\)
 3.280 \(\int \frac{\sqrt{\tanh ^{-1}(a x)}}{(1-a^2 x^2)^2} \, dx\)
 3.281 \(\int \frac{x^4}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)} \, dx\)
 3.282 \(\int \frac{x^3}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)} \, dx\)
 3.283 \(\int \frac{x^2}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)} \, dx\)
 3.284 \(\int \frac{x}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)} \, dx\)
 3.285 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)} \, dx\)
 3.286 \(\int \frac{1}{x (1-a^2 x^2)^2 \tanh ^{-1}(a x)} \, dx\)
 3.287 \(\int \frac{x^3}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2} \, dx\)
 3.288 \(\int \frac{x^2}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2} \, dx\)
 3.289 \(\int \frac{x}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2} \, dx\)
 3.290 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^2} \, dx\)
 3.291 \(\int \frac{1}{x (1-a^2 x^2)^2 \tanh ^{-1}(a x)^2} \, dx\)
 3.292 \(\int \frac{x^3}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^3} \, dx\)
 3.293 \(\int \frac{x^2}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^3} \, dx\)
 3.294 \(\int \frac{x}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^3} \, dx\)
 3.295 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^3} \, dx\)
 3.296 \(\int \frac{1}{x (1-a^2 x^2)^2 \tanh ^{-1}(a x)^3} \, dx\)
 3.297 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^4} \, dx\)
 3.298 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^5} \, dx\)
 3.299 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^6} \, dx\)
 3.300 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^7} \, dx\)
 3.301 \(\int \frac{1}{(1-a^2 x^2)^2 \tanh ^{-1}(a x)^8} \, dx\)
 3.302 \(\int \frac{x^3 \tanh ^{-1}(a x)}{(1-a^2 x^2)^3} \, dx\)
 3.303 \(\int \frac{x^2 \tanh ^{-1}(a x)}{(1-a^2 x^2)^3} \, dx\)
 3.304 \(\int \frac{x \tanh ^{-1}(a x)}{(1-a^2 x^2)^3} \, dx\)
 3.305 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^3} \, dx\)
 3.306 \(\int \frac{\tanh ^{-1}(a x)}{x (1-a^2 x^2)^3} \, dx\)
 3.307 \(\int \frac{\tanh ^{-1}(a x)}{x^2 (1-a^2 x^2)^3} \, dx\)
 3.308 \(\int \frac{x^3 \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^3} \, dx\)
 3.309 \(\int \frac{x^2 \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^3} \, dx\)
 3.310 \(\int \frac{x \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^3} \, dx\)
 3.311 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^3} \, dx\)
 3.312 \(\int \frac{\tanh ^{-1}(a x)^2}{x (1-a^2 x^2)^3} \, dx\)
 3.313 \(\int \frac{\tanh ^{-1}(a x)^2}{x^2 (1-a^2 x^2)^3} \, dx\)
 3.314 \(\int \frac{x^3 \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^3} \, dx\)
 3.315 \(\int \frac{x^2 \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^3} \, dx\)
 3.316 \(\int \frac{x \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^3} \, dx\)
 3.317 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^3} \, dx\)
 3.318 \(\int \frac{\tanh ^{-1}(a x)^3}{x (1-a^2 x^2)^3} \, dx\)
 3.319 \(\int \frac{\tanh ^{-1}(a x)^3}{x^2 (1-a^2 x^2)^3} \, dx\)
 3.320 \(\int \frac{\sqrt{\tanh ^{-1}(a x)}}{(1-a^2 x^2)^3} \, dx\)
 3.321 \(\int \frac{x^6}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.322 \(\int \frac{x^5}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.323 \(\int \frac{x^4}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.324 \(\int \frac{x^3}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.325 \(\int \frac{x^2}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.326 \(\int \frac{x}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.327 \(\int \frac{1}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.328 \(\int \frac{1}{x (1-a^2 x^2)^3 \tanh ^{-1}(a x)} \, dx\)
 3.329 \(\int \frac{x^5}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.330 \(\int \frac{x^4}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.331 \(\int \frac{x^3}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.332 \(\int \frac{x^2}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.333 \(\int \frac{x}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.334 \(\int \frac{1}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.335 \(\int \frac{1}{x (1-a^2 x^2)^3 \tanh ^{-1}(a x)^2} \, dx\)
 3.336 \(\int \frac{x^4}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^3} \, dx\)
 3.337 \(\int \frac{x^3}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^3} \, dx\)
 3.338 \(\int \frac{x^2}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^3} \, dx\)
 3.339 \(\int \frac{x}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^3} \, dx\)
 3.340 \(\int \frac{1}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^3} \, dx\)
 3.341 \(\int \frac{1}{x (1-a^2 x^2)^3 \tanh ^{-1}(a x)^3} \, dx\)
 3.342 \(\int \frac{1}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^4} \, dx\)
 3.343 \(\int \frac{1}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^5} \, dx\)
 3.344 \(\int \frac{1}{(1-a^2 x^2)^3 \tanh ^{-1}(a x)^6} \, dx\)
 3.345 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^4} \, dx\)
 3.346 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^4} \, dx\)
 3.347 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^4} \, dx\)
 3.348 \(\int \frac{\sqrt{\tanh ^{-1}(a x)}}{(1-a^2 x^2)^4} \, dx\)
 3.349 \(\int \frac{x^8}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.350 \(\int \frac{x^7}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.351 \(\int \frac{x^6}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.352 \(\int \frac{x^5}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.353 \(\int \frac{x^4}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.354 \(\int \frac{x^3}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.355 \(\int \frac{x^2}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.356 \(\int \frac{x}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.357 \(\int \frac{1}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.358 \(\int \frac{1}{x (1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.359 \(\int \frac{1}{x^2 (1-a^2 x^2)^4 \tanh ^{-1}(a x)} \, dx\)
 3.360 \(\int \frac{x}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)^2} \, dx\)
 3.361 \(\int \frac{1}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)^2} \, dx\)
 3.362 \(\int \frac{x}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)^3} \, dx\)
 3.363 \(\int \frac{1}{(1-a^2 x^2)^4 \tanh ^{-1}(a x)^3} \, dx\)
 3.364 \(\int \frac{x^5 \tanh ^{-1}(a x)}{\sqrt{1-a^2 x^2}} \, dx\)
 3.365 \(\int \frac{x^4 \tanh ^{-1}(a x)}{\sqrt{1-a^2 x^2}} \, dx\)
 3.366 \(\int \frac{x^3 \tanh ^{-1}(a x)}{\sqrt{1-a^2 x^2}} \, dx\)
 3.367 \(\int \frac{x^2 \tanh ^{-1}(a x)}{\sqrt{1-a^2 x^2}} \, dx\)
 3.368 \(\int \frac{x \tanh ^{-1}(a x)}{\sqrt{1-a^2 x^2}} \, dx\)
 3.369 \(\int \frac{\tanh ^{-1}(a x)}{\sqrt{1-a^2 x^2}} \, dx\)
 3.370 \(\int \frac{\tanh ^{-1}(a x)}{x \sqrt{1-a^2 x^2}} \, dx\)
 3.371 \(\int \frac{\tanh ^{-1}(a x)}{x^2 \sqrt{1-a^2 x^2}} \, dx\)
 3.372 \(\int \frac{\tanh ^{-1}(a x)}{x^3 \sqrt{1-a^2 x^2}} \, dx\)
 3.373 \(\int \frac{x^3 \tanh ^{-1}(a x)^2}{\sqrt{1-a^2 x^2}} \, dx\)
 3.374 \(\int \frac{x^2 \tanh ^{-1}(a x)^2}{\sqrt{1-a^2 x^2}} \, dx\)
 3.375 \(\int \frac{x \tanh ^{-1}(a x)^2}{\sqrt{1-a^2 x^2}} \, dx\)
 3.376 \(\int \frac{\tanh ^{-1}(a x)^2}{\sqrt{1-a^2 x^2}} \, dx\)
 3.377 \(\int \frac{\tanh ^{-1}(a x)^2}{x \sqrt{1-a^2 x^2}} \, dx\)
 3.378 \(\int \frac{\tanh ^{-1}(a x)^2}{x^2 \sqrt{1-a^2 x^2}} \, dx\)
 3.379 \(\int \frac{\tanh ^{-1}(a x)^2}{x^3 \sqrt{1-a^2 x^2}} \, dx\)
 3.380 \(\int \frac{x^3 \tanh ^{-1}(a x)^3}{\sqrt{1-a^2 x^2}} \, dx\)
 3.381 \(\int \frac{x^2 \tanh ^{-1}(a x)^3}{\sqrt{1-a^2 x^2}} \, dx\)
 3.382 \(\int \frac{x \tanh ^{-1}(a x)^3}{\sqrt{1-a^2 x^2}} \, dx\)
 3.383 \(\int \frac{\tanh ^{-1}(a x)^3}{\sqrt{1-a^2 x^2}} \, dx\)
 3.384 \(\int \frac{\tanh ^{-1}(a x)^3}{x \sqrt{1-a^2 x^2}} \, dx\)
 3.385 \(\int \frac{\tanh ^{-1}(a x)^3}{x^2 \sqrt{1-a^2 x^2}} \, dx\)
 3.386 \(\int \frac{\tanh ^{-1}(a x)^3}{x^3 \sqrt{1-a^2 x^2}} \, dx\)
 3.387 \(\int \frac{x^m \tanh ^{-1}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.388 \(\int \frac{x^3 \tanh ^{-1}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.389 \(\int \frac{x^2 \tanh ^{-1}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.390 \(\int \frac{x \tanh ^{-1}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.391 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.392 \(\int \frac{\tanh ^{-1}(a x)}{x (1-a^2 x^2)^{3/2}} \, dx\)
 3.393 \(\int \frac{\tanh ^{-1}(a x)}{x^2 (1-a^2 x^2)^{3/2}} \, dx\)
 3.394 \(\int \frac{\tanh ^{-1}(a x)}{x^3 (1-a^2 x^2)^{3/2}} \, dx\)
 3.395 \(\int \frac{x^m \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.396 \(\int \frac{x^3 \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.397 \(\int \frac{x^2 \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.398 \(\int \frac{x \tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.399 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.400 \(\int \frac{\tanh ^{-1}(a x)^2}{x (1-a^2 x^2)^{3/2}} \, dx\)
 3.401 \(\int \frac{\tanh ^{-1}(a x)^2}{x^2 (1-a^2 x^2)^{3/2}} \, dx\)
 3.402 \(\int \frac{\tanh ^{-1}(a x)^2}{x^3 (1-a^2 x^2)^{3/2}} \, dx\)
 3.403 \(\int \frac{x^m \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.404 \(\int \frac{x^3 \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.405 \(\int \frac{x^2 \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.406 \(\int \frac{x \tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.407 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.408 \(\int \frac{\tanh ^{-1}(a x)^3}{x (1-a^2 x^2)^{3/2}} \, dx\)
 3.409 \(\int \frac{\tanh ^{-1}(a x)^3}{x^2 (1-a^2 x^2)^{3/2}} \, dx\)
 3.410 \(\int \frac{\tanh ^{-1}(a x)^3}{x^3 (1-a^2 x^2)^{3/2}} \, dx\)
 3.411 \(\int \frac{x^m}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)} \, dx\)
 3.412 \(\int \frac{x^2}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)} \, dx\)
 3.413 \(\int \frac{x}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)} \, dx\)
 3.414 \(\int \frac{1}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)} \, dx\)
 3.415 \(\int \frac{1}{x (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)} \, dx\)
 3.416 \(\int \frac{x^m}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.417 \(\int \frac{x^2}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.418 \(\int \frac{x}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.419 \(\int \frac{1}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.420 \(\int \frac{1}{x (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.421 \(\int \frac{x^m}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.422 \(\int \frac{x^2}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.423 \(\int \frac{x}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.424 \(\int \frac{1}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.425 \(\int \frac{1}{x (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.426 \(\int x^4 \sqrt{1-a^2 x^2} \tanh ^{-1}(a x) \, dx\)
 3.427 \(\int x^3 \sqrt{1-a^2 x^2} \tanh ^{-1}(a x) \, dx\)
 3.428 \(\int x^2 \sqrt{1-a^2 x^2} \tanh ^{-1}(a x) \, dx\)
 3.429 \(\int x \sqrt{1-a^2 x^2} \tanh ^{-1}(a x) \, dx\)
 3.430 \(\int \sqrt{1-a^2 x^2} \tanh ^{-1}(a x) \, dx\)
 3.431 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x} \, dx\)
 3.432 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x^2} \, dx\)
 3.433 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x^3} \, dx\)
 3.434 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x^4} \, dx\)
 3.435 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x^5} \, dx\)
 3.436 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x^6} \, dx\)
 3.437 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)}{x^7} \, dx\)
 3.438 \(\int x^4 \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2 \, dx\)
 3.439 \(\int x^3 \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2 \, dx\)
 3.440 \(\int x^2 \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2 \, dx\)
 3.441 \(\int x \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2 \, dx\)
 3.442 \(\int \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2 \, dx\)
 3.443 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2}{x} \, dx\)
 3.444 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2}{x^2} \, dx\)
 3.445 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2}{x^3} \, dx\)
 3.446 \(\int \frac{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2}{x^4} \, dx\)
 3.447 \(\int x^4 (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.448 \(\int x^3 (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.449 \(\int x^2 (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.450 \(\int x (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.451 \(\int (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.452 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x} \, dx\)
 3.453 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x^2} \, dx\)
 3.454 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x^3} \, dx\)
 3.455 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x^4} \, dx\)
 3.456 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x^5} \, dx\)
 3.457 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x^6} \, dx\)
 3.458 \(\int \frac{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)}{x^7} \, dx\)
 3.459 \(\int (1-a^2 x^2)^{5/2} \tanh ^{-1}(a x) \, dx\)
 3.460 \(\int (1-a^2 x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.461 \(\int \sqrt{1-a^2 x^2} \tanh ^{-1}(a x) \, dx\)
 3.462 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.463 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^{7/2}} \, dx\)
 3.464 \(\int \frac{\tanh ^{-1}(a x)}{(1-a^2 x^2)^{9/2}} \, dx\)
 3.465 \(\int (c-a^2 c x^2)^{3/2} \tanh ^{-1}(a x) \, dx\)
 3.466 \(\int \sqrt{c-a^2 c x^2} \tanh ^{-1}(a x) \, dx\)
 3.467 \(\int \frac{\tanh ^{-1}(a x)}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.468 \(\int \frac{\tanh ^{-1}(a x)}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.469 \(\int \frac{\tanh ^{-1}(a x)}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.470 \(\int \frac{\tanh ^{-1}(a x)}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.471 \(\int \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2 \, dx\)
 3.472 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.473 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{7/2}} \, dx\)
 3.474 \(\int \frac{\tanh ^{-1}(a x)^2}{(1-a^2 x^2)^{9/2}} \, dx\)
 3.475 \(\int \sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^3 \, dx\)
 3.476 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.477 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{7/2}} \, dx\)
 3.478 \(\int \frac{\tanh ^{-1}(a x)^3}{(1-a^2 x^2)^{9/2}} \, dx\)
 3.479 \(\int \frac{\sqrt{1-a^2 x^2}}{\tanh ^{-1}(a x)} \, dx\)
 3.480 \(\int \frac{1}{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)} \, dx\)
 3.481 \(\int \frac{1}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)} \, dx\)
 3.482 \(\int \frac{1}{(1-a^2 x^2)^{5/2} \tanh ^{-1}(a x)} \, dx\)
 3.483 \(\int \frac{1}{(1-a^2 x^2)^{7/2} \tanh ^{-1}(a x)} \, dx\)
 3.484 \(\int \frac{1}{(1-a^2 x^2)^{9/2} \tanh ^{-1}(a x)} \, dx\)
 3.485 \(\int \frac{\sqrt{1-a^2 x^2}}{\tanh ^{-1}(a x)^2} \, dx\)
 3.486 \(\int \frac{1}{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^2} \, dx\)
 3.487 \(\int \frac{1}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.488 \(\int \frac{1}{(1-a^2 x^2)^{5/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.489 \(\int \frac{1}{(1-a^2 x^2)^{7/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.490 \(\int \frac{1}{(1-a^2 x^2)^{9/2} \tanh ^{-1}(a x)^2} \, dx\)
 3.491 \(\int \frac{\sqrt{1-a^2 x^2}}{\tanh ^{-1}(a x)^3} \, dx\)
 3.492 \(\int \frac{1}{\sqrt{1-a^2 x^2} \tanh ^{-1}(a x)^3} \, dx\)
 3.493 \(\int \frac{1}{(1-a^2 x^2)^{3/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.494 \(\int \frac{1}{(1-a^2 x^2)^{5/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.495 \(\int \frac{1}{(1-a^2 x^2)^{7/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.496 \(\int \frac{1}{(1-a^2 x^2)^{9/2} \tanh ^{-1}(a x)^3} \, dx\)
 3.497 \(\int \frac{(d+e x) (a+b \tanh ^{-1}(c x))^2}{1-c^2 x^2} \, dx\)
 3.498 \(\int (c+d x^2)^4 \tanh ^{-1}(a x) \, dx\)
 3.499 \(\int (c+d x^2)^3 \tanh ^{-1}(a x) \, dx\)
 3.500 \(\int (c+d x^2)^2 \tanh ^{-1}(a x) \, dx\)
 3.501 \(\int (c+d x^2) \tanh ^{-1}(a x) \, dx\)
 3.502 \(\int \frac{\tanh ^{-1}(a x)}{c+d x^2} \, dx\)
 3.503 \(\int \frac{\tanh ^{-1}(a x)}{(c+d x^2)^2} \, dx\)
 3.504 \(\int \frac{\tanh ^{-1}(a x)}{(c+d x^2)^3} \, dx\)
 3.505 \(\int \frac{1}{(a-a x^2) (b-2 b \tanh ^{-1}(x))} \, dx\)
 3.506 \(\int \frac{\tanh ^{-1}(b x)}{1-x^2} \, dx\)
 3.507 \(\int \frac{\tanh ^{-1}(a+b x)}{1-x^2} \, dx\)
 3.508 \(\int \frac{\tanh ^{-1}(x)}{a+b x} \, dx\)
 3.509 \(\int \frac{\tanh ^{-1}(x)}{a+b x^2} \, dx\)
 3.510 \(\int \frac{\tanh ^{-1}(x)}{a+b x+c x^2} \, dx\)
 3.511 \(\int \sqrt{c+d x^2} \tanh ^{-1}(a x) \, dx\)
 3.512 \(\int \frac{\tanh ^{-1}(a x)}{\sqrt{c+d x^2}} \, dx\)
 3.513 \(\int \frac{\tanh ^{-1}(a x)}{(c+d x^2)^{3/2}} \, dx\)
 3.514 \(\int \frac{\tanh ^{-1}(a x)}{(c+d x^2)^{5/2}} \, dx\)
 3.515 \(\int \frac{\tanh ^{-1}(a x)}{(c+d x^2)^{7/2}} \, dx\)
 3.516 \(\int \frac{\tanh ^{-1}(a x)}{(c+d x^2)^{9/2}} \, dx\)
 3.517 \(\int \sqrt{a-a x^2} \tanh ^{-1}(x) \, dx\)
 3.518 \(\int \frac{\tanh ^{-1}(x)}{\sqrt{a-a x^2}} \, dx\)
 3.519 \(\int \frac{\tanh ^{-1}(x)}{(a-a x^2)^{3/2}} \, dx\)
 3.520 \(\int \frac{\tanh ^{-1}(x)}{(a-a x^2)^{5/2}} \, dx\)
 3.521 \(\int \frac{\tanh ^{-1}(x)}{(a-a x^2)^{7/2}} \, dx\)
 3.522 \(\int x^4 (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\)
 3.523 \(\int x^3 (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\)
 3.524 \(\int x^2 (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\)
 3.525 \(\int x (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\)
 3.526 \(\int (a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2)) \, dx\)
 3.527 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x} \, dx\)
 3.528 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^2} \, dx\)
 3.529 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^3} \, dx\)
 3.530 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^4} \, dx\)
 3.531 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^5} \, dx\)
 3.532 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (1-c^2 x^2))}{x^6} \, dx\)
 3.533 \(\int x (a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2)) \, dx\)
 3.534 \(\int (a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2)) \, dx\)
 3.535 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2))}{x} \, dx\)
 3.536 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2))}{x^2} \, dx\)
 3.537 \(\int \frac{(a+b \tanh ^{-1}(c x)) (d+e \log (f+g x^2))}{x^3} \, dx\)
 3.538 \(\int \frac{\tanh ^{-1}(c x) (a+b \tanh ^{-1}(c x))}{(1+c x)^2} \, dx\)