Chapter 3
Listing of integrals

 3.1 \(\int e^{\tanh ^{-1}(a x)} x^4 \, dx\)
 3.2 \(\int e^{\tanh ^{-1}(a x)} x^3 \, dx\)
 3.3 \(\int e^{\tanh ^{-1}(a x)} x^2 \, dx\)
 3.4 \(\int e^{\tanh ^{-1}(a x)} x \, dx\)
 3.5 \(\int e^{\tanh ^{-1}(a x)} \, dx\)
 3.6 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x} \, dx\)
 3.7 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.8 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.9 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.10 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.11 \(\int e^{2 \tanh ^{-1}(a x)} x^3 \, dx\)
 3.12 \(\int e^{2 \tanh ^{-1}(a x)} x^2 \, dx\)
 3.13 \(\int e^{2 \tanh ^{-1}(a x)} x \, dx\)
 3.14 \(\int e^{2 \tanh ^{-1}(a x)} \, dx\)
 3.15 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x} \, dx\)
 3.16 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.17 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.18 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.19 \(\int e^{3 \tanh ^{-1}(a x)} x^2 \, dx\)
 3.20 \(\int e^{3 \tanh ^{-1}(a x)} x \, dx\)
 3.21 \(\int e^{3 \tanh ^{-1}(a x)} \, dx\)
 3.22 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{x} \, dx\)
 3.23 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.24 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.25 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.26 \(\int e^{4 \tanh ^{-1}(a x)} x^3 \, dx\)
 3.27 \(\int e^{4 \tanh ^{-1}(a x)} x^2 \, dx\)
 3.28 \(\int e^{4 \tanh ^{-1}(a x)} x \, dx\)
 3.29 \(\int e^{4 \tanh ^{-1}(a x)} \, dx\)
 3.30 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{x} \, dx\)
 3.31 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.32 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.33 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.34 \(\int e^{-\tanh ^{-1}(a x)} x^3 \, dx\)
 3.35 \(\int e^{-\tanh ^{-1}(a x)} x^2 \, dx\)
 3.36 \(\int e^{-\tanh ^{-1}(a x)} x \, dx\)
 3.37 \(\int e^{-\tanh ^{-1}(a x)} \, dx\)
 3.38 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{x} \, dx\)
 3.39 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.40 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.41 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.42 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.43 \(\int e^{-2 \tanh ^{-1}(a x)} x^3 \, dx\)
 3.44 \(\int e^{-2 \tanh ^{-1}(a x)} x^2 \, dx\)
 3.45 \(\int e^{-2 \tanh ^{-1}(a x)} x \, dx\)
 3.46 \(\int e^{-2 \tanh ^{-1}(a x)} \, dx\)
 3.47 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{x} \, dx\)
 3.48 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.49 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.50 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.51 \(\int e^{-3 \tanh ^{-1}(a x)} x^3 \, dx\)
 3.52 \(\int e^{-3 \tanh ^{-1}(a x)} x^2 \, dx\)
 3.53 \(\int e^{-3 \tanh ^{-1}(a x)} x \, dx\)
 3.54 \(\int e^{-3 \tanh ^{-1}(a x)} \, dx\)
 3.55 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{x} \, dx\)
 3.56 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.57 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.58 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.59 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.60 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} x^m \, dx\)
 3.61 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.62 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} x \, dx\)
 3.63 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} \, dx\)
 3.64 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.65 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.66 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.67 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.68 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.69 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x^6} \, dx\)
 3.70 \(\int e^{\frac{3}{2} \tanh ^{-1}(a x)} x^m \, dx\)
 3.71 \(\int e^{\frac{3}{2} \tanh ^{-1}(a x)} x^3 \, dx\)
 3.72 \(\int e^{\frac{3}{2} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.73 \(\int e^{\frac{3}{2} \tanh ^{-1}(a x)} x \, dx\)
 3.74 \(\int e^{\frac{3}{2} \tanh ^{-1}(a x)} \, dx\)
 3.75 \(\int \frac{e^{\frac{3}{2} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.76 \(\int \frac{e^{\frac{3}{2} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.77 \(\int \frac{e^{\frac{3}{2} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.78 \(\int \frac{e^{\frac{3}{2} \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.79 \(\int \frac{e^{\frac{3}{2} \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.80 \(\int e^{\frac{5}{2} \tanh ^{-1}(a x)} x^m \, dx\)
 3.81 \(\int e^{\frac{5}{2} \tanh ^{-1}(a x)} x^3 \, dx\)
 3.82 \(\int e^{\frac{5}{2} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.83 \(\int e^{\frac{5}{2} \tanh ^{-1}(a x)} x \, dx\)
 3.84 \(\int e^{\frac{5}{2} \tanh ^{-1}(a x)} \, dx\)
 3.85 \(\int \frac{e^{\frac{5}{2} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.86 \(\int \frac{e^{\frac{5}{2} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.87 \(\int \frac{e^{\frac{5}{2} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.88 \(\int \frac{e^{\frac{5}{2} \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.89 \(\int \frac{e^{\frac{5}{2} \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.90 \(\int e^{-\frac{1}{2} \tanh ^{-1}(a x)} x^m \, dx\)
 3.91 \(\int e^{-\frac{1}{2} \tanh ^{-1}(a x)} x^3 \, dx\)
 3.92 \(\int e^{-\frac{1}{2} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.93 \(\int e^{-\frac{1}{2} \tanh ^{-1}(a x)} x \, dx\)
 3.94 \(\int e^{-\frac{1}{2} \tanh ^{-1}(a x)} \, dx\)
 3.95 \(\int \frac{e^{-\frac{1}{2} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.96 \(\int \frac{e^{-\frac{1}{2} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.97 \(\int \frac{e^{-\frac{1}{2} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.98 \(\int \frac{e^{-\frac{1}{2} \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.99 \(\int \frac{e^{-\frac{1}{2} \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.100 \(\int e^{-\frac{3}{2} \tanh ^{-1}(a x)} x^m \, dx\)
 3.101 \(\int e^{-\frac{3}{2} \tanh ^{-1}(a x)} x^3 \, dx\)
 3.102 \(\int e^{-\frac{3}{2} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.103 \(\int e^{-\frac{3}{2} \tanh ^{-1}(a x)} x \, dx\)
 3.104 \(\int e^{-\frac{3}{2} \tanh ^{-1}(a x)} \, dx\)
 3.105 \(\int \frac{e^{-\frac{3}{2} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.106 \(\int \frac{e^{-\frac{3}{2} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.107 \(\int \frac{e^{-\frac{3}{2} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.108 \(\int \frac{e^{-\frac{3}{2} \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.109 \(\int \frac{e^{-\frac{3}{2} \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.110 \(\int e^{-\frac{5}{2} \tanh ^{-1}(a x)} x^m \, dx\)
 3.111 \(\int e^{-\frac{5}{2} \tanh ^{-1}(a x)} x^3 \, dx\)
 3.112 \(\int e^{-\frac{5}{2} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.113 \(\int e^{-\frac{5}{2} \tanh ^{-1}(a x)} x \, dx\)
 3.114 \(\int e^{-\frac{5}{2} \tanh ^{-1}(a x)} \, dx\)
 3.115 \(\int \frac{e^{-\frac{5}{2} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.116 \(\int \frac{e^{-\frac{5}{2} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.117 \(\int \frac{e^{-\frac{5}{2} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.118 \(\int \frac{e^{-\frac{5}{2} \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.119 \(\int \frac{e^{-\frac{5}{2} \tanh ^{-1}(a x)}}{x^5} \, dx\)
 3.120 \(\int e^{\frac{1}{3} \tanh ^{-1}(x)} x^m \, dx\)
 3.121 \(\int e^{\frac{1}{3} \tanh ^{-1}(x)} x^2 \, dx\)
 3.122 \(\int e^{\frac{1}{3} \tanh ^{-1}(x)} x \, dx\)
 3.123 \(\int e^{\frac{1}{3} \tanh ^{-1}(x)} \, dx\)
 3.124 \(\int \frac{e^{\frac{1}{3} \tanh ^{-1}(x)}}{x} \, dx\)
 3.125 \(\int \frac{e^{\frac{1}{3} \tanh ^{-1}(x)}}{x^2} \, dx\)
 3.126 \(\int \frac{e^{\frac{1}{3} \tanh ^{-1}(x)}}{x^3} \, dx\)
 3.127 \(\int e^{\frac{2}{3} \tanh ^{-1}(x)} x^m \, dx\)
 3.128 \(\int e^{\frac{2}{3} \tanh ^{-1}(x)} x^2 \, dx\)
 3.129 \(\int e^{\frac{2}{3} \tanh ^{-1}(x)} x \, dx\)
 3.130 \(\int e^{\frac{2}{3} \tanh ^{-1}(x)} \, dx\)
 3.131 \(\int \frac{e^{\frac{2}{3} \tanh ^{-1}(x)}}{x} \, dx\)
 3.132 \(\int \frac{e^{\frac{2}{3} \tanh ^{-1}(x)}}{x^2} \, dx\)
 3.133 \(\int \frac{e^{\frac{2}{3} \tanh ^{-1}(x)}}{x^3} \, dx\)
 3.134 \(\int e^{\frac{1}{4} \tanh ^{-1}(a x)} x^m \, dx\)
 3.135 \(\int e^{\frac{1}{4} \tanh ^{-1}(a x)} x^2 \, dx\)
 3.136 \(\int e^{\frac{1}{4} \tanh ^{-1}(a x)} x \, dx\)
 3.137 \(\int e^{\frac{1}{4} \tanh ^{-1}(a x)} \, dx\)
 3.138 \(\int \frac{e^{\frac{1}{4} \tanh ^{-1}(a x)}}{x} \, dx\)
 3.139 \(\int \frac{e^{\frac{1}{4} \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.140 \(\int \frac{e^{\frac{1}{4} \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.141 \(\int e^{4 \tanh ^{-1}(a x)} x^m \, dx\)
 3.142 \(\int e^{3 \tanh ^{-1}(a x)} x^m \, dx\)
 3.143 \(\int e^{2 \tanh ^{-1}(a x)} x^m \, dx\)
 3.144 \(\int e^{\tanh ^{-1}(a x)} x^m \, dx\)
 3.145 \(\int e^{-\tanh ^{-1}(a x)} x^m \, dx\)
 3.146 \(\int e^{-2 \tanh ^{-1}(a x)} x^m \, dx\)
 3.147 \(\int e^{-3 \tanh ^{-1}(a x)} x^m \, dx\)
 3.148 \(\int e^{n \tanh ^{-1}(a x)} x^m \, dx\)
 3.149 \(\int e^{n \tanh ^{-1}(a x)} x^3 \, dx\)
 3.150 \(\int e^{n \tanh ^{-1}(a x)} x^2 \, dx\)
 3.151 \(\int e^{n \tanh ^{-1}(a x)} x \, dx\)
 3.152 \(\int e^{n \tanh ^{-1}(a x)} \, dx\)
 3.153 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x} \, dx\)
 3.154 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^2} \, dx\)
 3.155 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^3} \, dx\)
 3.156 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^4} \, dx\)
 3.157 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.158 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^4 \, dx\)
 3.159 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.160 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.161 \(\int e^{\tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.162 \(\int \frac{e^{\tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.163 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.164 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.165 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.166 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^5} \, dx\)
 3.167 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.168 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^5 \, dx\)
 3.169 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^4 \, dx\)
 3.170 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.171 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.172 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.173 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.174 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.175 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.176 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.177 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.178 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^4 \, dx\)
 3.179 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.180 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.181 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.182 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.183 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.184 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.185 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.186 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^5} \, dx\)
 3.187 \(\int e^{4 \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.188 \(\int e^{4 \tanh ^{-1}(a x)} (c-a c x)^5 \, dx\)
 3.189 \(\int e^{4 \tanh ^{-1}(a x)} (c-a c x)^4 \, dx\)
 3.190 \(\int e^{4 \tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.191 \(\int e^{4 \tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.192 \(\int e^{4 \tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.193 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.194 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.195 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.196 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.197 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.198 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.199 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.200 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.201 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.202 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.203 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.204 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.205 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^5} \, dx\)
 3.206 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.207 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^4 \, dx\)
 3.208 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.209 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.210 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.211 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.212 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.213 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.214 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.215 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^5} \, dx\)
 3.216 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.217 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.218 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.219 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.220 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.221 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.222 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.223 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.224 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^5} \, dx\)
 3.225 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^6} \, dx\)
 3.226 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^{9/2} \, dx\)
 3.227 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^{7/2} \, dx\)
 3.228 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.229 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.230 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.231 \(\int \frac{e^{\tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.232 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.233 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.234 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.235 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^{7/2} \, dx\)
 3.236 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.237 \(\int e^{2 \tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.238 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.239 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.240 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.241 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.242 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.243 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^{9/2} \, dx\)
 3.244 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^{7/2} \, dx\)
 3.245 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.246 \(\int e^{3 \tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.247 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.248 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.249 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.250 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.251 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.252 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^{9/2} \, dx\)
 3.253 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^{7/2} \, dx\)
 3.254 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.255 \(\int e^{-\tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.256 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.257 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.258 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.259 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.260 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.261 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^{7/2} \, dx\)
 3.262 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.263 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.264 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.265 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.266 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.267 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.268 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.269 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a c x)^{9/2}} \, dx\)
 3.270 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.271 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.272 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.273 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.274 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.275 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.276 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.277 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a c x)^{9/2}} \, dx\)
 3.278 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x)^{7/2} \, dx\)
 3.279 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x)^{5/2} \, dx\)
 3.280 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x)^{3/2} \, dx\)
 3.281 \(\int e^{n \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.282 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{\sqrt{c-a c x}} \, dx\)
 3.283 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a c x)^{3/2}} \, dx\)
 3.284 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a c x)^{5/2}} \, dx\)
 3.285 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a c x)^{7/2}} \, dx\)
 3.286 \(\int e^{\tanh ^{-1}(a x)} x^4 (c-a c x) \, dx\)
 3.287 \(\int e^{\tanh ^{-1}(a x)} x^3 (c-a c x) \, dx\)
 3.288 \(\int e^{\tanh ^{-1}(a x)} x^2 (c-a c x) \, dx\)
 3.289 \(\int e^{\tanh ^{-1}(a x)} x (c-a c x) \, dx\)
 3.290 \(\int e^{\tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.291 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)}{x} \, dx\)
 3.292 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)}{x^2} \, dx\)
 3.293 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)}{x^3} \, dx\)
 3.294 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)}{x^4} \, dx\)
 3.295 \(\int e^{\tanh ^{-1}(a x)} x^3 (c-a c x)^2 \, dx\)
 3.296 \(\int e^{\tanh ^{-1}(a x)} x^2 (c-a c x)^2 \, dx\)
 3.297 \(\int e^{\tanh ^{-1}(a x)} x (c-a c x)^2 \, dx\)
 3.298 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.299 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x} \, dx\)
 3.300 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x^2} \, dx\)
 3.301 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x^3} \, dx\)
 3.302 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x^4} \, dx\)
 3.303 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x^5} \, dx\)
 3.304 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x^6} \, dx\)
 3.305 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^2}{x^7} \, dx\)
 3.306 \(\int e^{\tanh ^{-1}(a x)} x^3 (c-a c x)^3 \, dx\)
 3.307 \(\int e^{\tanh ^{-1}(a x)} x^2 (c-a c x)^3 \, dx\)
 3.308 \(\int e^{\tanh ^{-1}(a x)} x (c-a c x)^3 \, dx\)
 3.309 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.310 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^3}{x} \, dx\)
 3.311 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^3}{x^2} \, dx\)
 3.312 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^3}{x^3} \, dx\)
 3.313 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^3}{x^4} \, dx\)
 3.314 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^3}{x^5} \, dx\)
 3.315 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^3}{x^6} \, dx\)
 3.316 \(\int e^{\tanh ^{-1}(a x)} x^3 (c-a c x)^4 \, dx\)
 3.317 \(\int e^{\tanh ^{-1}(a x)} x^2 (c-a c x)^4 \, dx\)
 3.318 \(\int e^{\tanh ^{-1}(a x)} x (c-a c x)^4 \, dx\)
 3.319 \(\int e^{\tanh ^{-1}(a x)} (c-a c x)^4 \, dx\)
 3.320 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x} \, dx\)
 3.321 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x^2} \, dx\)
 3.322 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x^3} \, dx\)
 3.323 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x^4} \, dx\)
 3.324 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x^5} \, dx\)
 3.325 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x^6} \, dx\)
 3.326 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a c x)^4}{x^7} \, dx\)
 3.327 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{c-a c x} \, dx\)
 3.328 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{c-a c x} \, dx\)
 3.329 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{c-a c x} \, dx\)
 3.330 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{c-a c x} \, dx\)
 3.331 \(\int \frac{e^{\tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.332 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a c x)} \, dx\)
 3.333 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a c x)} \, dx\)
 3.334 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a c x)} \, dx\)
 3.335 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (c-a c x)} \, dx\)
 3.336 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a c x)^2} \, dx\)
 3.337 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a c x)^2} \, dx\)
 3.338 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a c x)^2} \, dx\)
 3.339 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a c x)^2} \, dx\)
 3.340 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.341 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a c x)^2} \, dx\)
 3.342 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a c x)^2} \, dx\)
 3.343 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a c x)^2} \, dx\)
 3.344 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (c-a c x)^2} \, dx\)
 3.345 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a c x)^3} \, dx\)
 3.346 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a c x)^3} \, dx\)
 3.347 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a c x)^3} \, dx\)
 3.348 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a c x)^3} \, dx\)
 3.349 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.350 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a c x)^3} \, dx\)
 3.351 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a c x)^3} \, dx\)
 3.352 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a c x)^3} \, dx\)
 3.353 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (c-a c x)^3} \, dx\)
 3.354 \(\int \frac{e^{\tanh ^{-1}(a x)} x^5}{(c-a c x)^4} \, dx\)
 3.355 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a c x)^4} \, dx\)
 3.356 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a c x)^4} \, dx\)
 3.357 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a c x)^4} \, dx\)
 3.358 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a c x)^4} \, dx\)
 3.359 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.360 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a c x)^4} \, dx\)
 3.361 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a c x)^4} \, dx\)
 3.362 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a c x)^4} \, dx\)
 3.363 \(\int e^{\tanh ^{-1}(x)} x (1+x) \, dx\)
 3.364 \(\int e^{\tanh ^{-1}(x)} (1+x) \, dx\)
 3.365 \(\int e^{\tanh ^{-1}(x)} x (1+x)^2 \, dx\)
 3.366 \(\int e^{\tanh ^{-1}(x)} (1+x)^2 \, dx\)
 3.367 \(\int \frac{e^{\tanh ^{-1}(x)} x}{1+x} \, dx\)
 3.368 \(\int \frac{e^{\tanh ^{-1}(x)}}{1+x} \, dx\)
 3.369 \(\int \frac{e^{\tanh ^{-1}(x)} x}{(1+x)^2} \, dx\)
 3.370 \(\int \frac{e^{\tanh ^{-1}(x)}}{(1+x)^2} \, dx\)
 3.371 \(\int e^{\tanh ^{-1}(x)} x (1+x)^{3/2} \, dx\)
 3.372 \(\int e^{\tanh ^{-1}(x)} (1+x)^{3/2} \, dx\)
 3.373 \(\int e^{\tanh ^{-1}(x)} (1-x)^{3/2} x \, dx\)
 3.374 \(\int e^{\tanh ^{-1}(x)} (1-x)^{3/2} \, dx\)
 3.375 \(\int e^{\tanh ^{-1}(x)} x \sqrt{1+x} \, dx\)
 3.376 \(\int e^{\tanh ^{-1}(x)} \sqrt{1+x} \, dx\)
 3.377 \(\int e^{\tanh ^{-1}(x)} \sqrt{1-x} x \, dx\)
 3.378 \(\int e^{\tanh ^{-1}(x)} \sqrt{1-x} \, dx\)
 3.379 \(\int \frac{e^{\tanh ^{-1}(x)} x}{\sqrt{1+x}} \, dx\)
 3.380 \(\int \frac{e^{\tanh ^{-1}(x)}}{\sqrt{1+x}} \, dx\)
 3.381 \(\int \frac{e^{\tanh ^{-1}(x)} x}{\sqrt{1-x}} \, dx\)
 3.382 \(\int \frac{e^{\tanh ^{-1}(x)}}{\sqrt{1-x}} \, dx\)
 3.383 \(\int \frac{e^{\tanh ^{-1}(x)} x}{(1+x)^{3/2}} \, dx\)
 3.384 \(\int \frac{e^{\tanh ^{-1}(x)}}{(1+x)^{3/2}} \, dx\)
 3.385 \(\int \frac{e^{\tanh ^{-1}(x)} x}{(1-x)^{3/2}} \, dx\)
 3.386 \(\int \frac{e^{\tanh ^{-1}(x)}}{(1-x)^{3/2}} \, dx\)
 3.387 \(\int e^{\tanh ^{-1}(a x)} x^m \sqrt{c-a c x} \, dx\)
 3.388 \(\int e^{\tanh ^{-1}(a x)} x^2 \sqrt{c-a c x} \, dx\)
 3.389 \(\int e^{\tanh ^{-1}(a x)} x \sqrt{c-a c x} \, dx\)
 3.390 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.391 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-a c x}}{x} \, dx\)
 3.392 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^2} \, dx\)
 3.393 \(\int e^{2 \tanh ^{-1}(a x)} x^3 \sqrt{c-a c x} \, dx\)
 3.394 \(\int e^{2 \tanh ^{-1}(a x)} x^2 \sqrt{c-a c x} \, dx\)
 3.395 \(\int e^{2 \tanh ^{-1}(a x)} x \sqrt{c-a c x} \, dx\)
 3.396 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.397 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x} \, dx\)
 3.398 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^2} \, dx\)
 3.399 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^3} \, dx\)
 3.400 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^4} \, dx\)
 3.401 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^5} \, dx\)
 3.402 \(\int e^{3 \tanh ^{-1}(a x)} x^3 \sqrt{c-a c x} \, dx\)
 3.403 \(\int e^{3 \tanh ^{-1}(a x)} x^2 \sqrt{c-a c x} \, dx\)
 3.404 \(\int e^{3 \tanh ^{-1}(a x)} x \sqrt{c-a c x} \, dx\)
 3.405 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.406 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x} \, dx\)
 3.407 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^2} \, dx\)
 3.408 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^3} \, dx\)
 3.409 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^4} \, dx\)
 3.410 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^5} \, dx\)
 3.411 \(\int e^{-\tanh ^{-1}(a x)} x^m \sqrt{c-a c x} \, dx\)
 3.412 \(\int e^{-\tanh ^{-1}(a x)} x^2 \sqrt{c-a c x} \, dx\)
 3.413 \(\int e^{-\tanh ^{-1}(a x)} x \sqrt{c-a c x} \, dx\)
 3.414 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.415 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-a c x}}{x} \, dx\)
 3.416 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^2} \, dx\)
 3.417 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^3} \, dx\)
 3.418 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^4} \, dx\)
 3.419 \(\int e^{-2 \tanh ^{-1}(a x)} x^3 \sqrt{c-a c x} \, dx\)
 3.420 \(\int e^{-2 \tanh ^{-1}(a x)} x^2 \sqrt{c-a c x} \, dx\)
 3.421 \(\int e^{-2 \tanh ^{-1}(a x)} x \sqrt{c-a c x} \, dx\)
 3.422 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.423 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x} \, dx\)
 3.424 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^2} \, dx\)
 3.425 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^3} \, dx\)
 3.426 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^4} \, dx\)
 3.427 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^5} \, dx\)
 3.428 \(\int e^{-3 \tanh ^{-1}(a x)} x^3 \sqrt{c-a c x} \, dx\)
 3.429 \(\int e^{-3 \tanh ^{-1}(a x)} x^2 \sqrt{c-a c x} \, dx\)
 3.430 \(\int e^{-3 \tanh ^{-1}(a x)} x \sqrt{c-a c x} \, dx\)
 3.431 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x} \, dx\)
 3.432 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x} \, dx\)
 3.433 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^2} \, dx\)
 3.434 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^3} \, dx\)
 3.435 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^4} \, dx\)
 3.436 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a c x}}{x^5} \, dx\)
 3.437 \(\int e^{-2 p \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.438 \(\int e^{2 p \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.439 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x)^p \, dx\)
 3.440 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x)^3 \, dx\)
 3.441 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x)^2 \, dx\)
 3.442 \(\int e^{n \tanh ^{-1}(a x)} (c-a c x) \, dx\)
 3.443 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{c-a c x} \, dx\)
 3.444 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a c x)^2} \, dx\)
 3.445 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a c x)^3} \, dx\)
 3.446 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a c x)^4} \, dx\)
 3.447 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.448 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^4 \, dx\)
 3.449 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.450 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.451 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.452 \(\int \frac{e^{\tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.453 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.454 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.455 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.456 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.457 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^5 \, dx\)
 3.458 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^4 \, dx\)
 3.459 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.460 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.461 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.462 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.463 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.464 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.465 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.466 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^4 \, dx\)
 3.467 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.468 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.469 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.470 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.471 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.472 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.473 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.474 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.475 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^5 \, dx\)
 3.476 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^4 \, dx\)
 3.477 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.478 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.479 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.480 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.481 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.482 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.483 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.484 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.485 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^4 \, dx\)
 3.486 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.487 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.488 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.489 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.490 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.491 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.492 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.493 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.494 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^4 \, dx\)
 3.495 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.496 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.497 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.498 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.499 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.500 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.501 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.502 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^3 \, dx\)
 3.503 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.504 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.505 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.506 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.507 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^3} \, dx\)
 3.508 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^4} \, dx\)
 3.509 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^5} \, dx\)
 3.510 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{9/2} \, dx\)
 3.511 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{7/2} \, dx\)
 3.512 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{5/2} \, dx\)
 3.513 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.514 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.515 \(\int \frac{e^{\tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.516 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.517 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{5/2}} \, dx\)
 3.518 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{9/2} \, dx\)
 3.519 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{7/2} \, dx\)
 3.520 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{5/2} \, dx\)
 3.521 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.522 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.523 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.524 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.525 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{5/2}} \, dx\)
 3.526 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{7/2}} \, dx\)
 3.527 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{9/2} \, dx\)
 3.528 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{7/2} \, dx\)
 3.529 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{5/2} \, dx\)
 3.530 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.531 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.532 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.533 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.534 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{5/2}} \, dx\)
 3.535 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{9/2} \, dx\)
 3.536 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{7/2} \, dx\)
 3.537 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{5/2} \, dx\)
 3.538 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.539 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.540 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.541 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.542 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{5/2}} \, dx\)
 3.543 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{7/2}} \, dx\)
 3.544 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{9/2} \, dx\)
 3.545 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{7/2} \, dx\)
 3.546 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{5/2} \, dx\)
 3.547 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.548 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.549 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.550 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.551 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{5/2}} \, dx\)
 3.552 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{7/2}} \, dx\)
 3.553 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{9/2}} \, dx\)
 3.554 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{9/2} \, dx\)
 3.555 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{7/2} \, dx\)
 3.556 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{5/2} \, dx\)
 3.557 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.558 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.559 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.560 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.561 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{5/2}} \, dx\)
 3.562 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{7/2}} \, dx\)
 3.563 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a x}) x^3} \, dx\)
 3.564 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^m \, dx\)
 3.565 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^2 \, dx\)
 3.566 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x \, dx\)
 3.567 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.568 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x} \, dx\)
 3.569 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^2} \, dx\)
 3.570 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^3} \, dx\)
 3.571 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^4} \, dx\)
 3.572 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^5} \, dx\)
 3.573 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^3 \, dx\)
 3.574 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^2 \, dx\)
 3.575 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x \, dx\)
 3.576 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.577 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x} \, dx\)
 3.578 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^2} \, dx\)
 3.579 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^3} \, dx\)
 3.580 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^4} \, dx\)
 3.581 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^5} \, dx\)
 3.582 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^3 \, dx\)
 3.583 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^2 \, dx\)
 3.584 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x \, dx\)
 3.585 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.586 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x} \, dx\)
 3.587 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^2} \, dx\)
 3.588 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^3} \, dx\)
 3.589 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^4} \, dx\)
 3.590 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^5} \, dx\)
 3.591 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^m \, dx\)
 3.592 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^2 \, dx\)
 3.593 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x \, dx\)
 3.594 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.595 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x} \, dx\)
 3.596 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^2} \, dx\)
 3.597 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^3} \, dx\)
 3.598 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^4} \, dx\)
 3.599 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^3 \, dx\)
 3.600 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^2 \, dx\)
 3.601 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x \, dx\)
 3.602 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.603 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x} \, dx\)
 3.604 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^2} \, dx\)
 3.605 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^3} \, dx\)
 3.606 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^4} \, dx\)
 3.607 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^5} \, dx\)
 3.608 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^3 \, dx\)
 3.609 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x^2 \, dx\)
 3.610 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} x \, dx\)
 3.611 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.612 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x} \, dx\)
 3.613 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^2} \, dx\)
 3.614 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^3} \, dx\)
 3.615 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^4} \, dx\)
 3.616 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}}}{x^5} \, dx\)
 3.617 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.618 \(\int e^{-2 p \tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.619 \(\int e^{2 p \tanh ^{-1}(a x)} (c-\frac{c}{a x})^p \, dx\)
 3.620 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a x})^2 \, dx\)
 3.621 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a x}) \, dx\)
 3.622 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{c-\frac{c}{a x}} \, dx\)
 3.623 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^2} \, dx\)
 3.624 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a x})^{3/2} \, dx\)
 3.625 \(\int e^{n \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a x}} \, dx\)
 3.626 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a x}}} \, dx\)
 3.627 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-\frac{c}{a x})^{3/2}} \, dx\)
 3.628 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.629 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.630 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.631 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.632 \(\int \frac{e^{\tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.633 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.634 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.635 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.636 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^5 \, dx\)
 3.637 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.638 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.639 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.640 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.641 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.642 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.643 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.644 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.645 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.646 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.647 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.648 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.649 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.650 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.651 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.652 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.653 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^5 \, dx\)
 3.654 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.655 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.656 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.657 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.658 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.659 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.660 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.661 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.662 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.663 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.664 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.665 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.666 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.667 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.668 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.669 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.670 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.671 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.672 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.673 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.674 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.675 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.676 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.677 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.678 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^4 \, dx\)
 3.679 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^3 \, dx\)
 3.680 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.681 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.682 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.683 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.684 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^3} \, dx\)
 3.685 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^4} \, dx\)
 3.686 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{9/2} \, dx\)
 3.687 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{7/2} \, dx\)
 3.688 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{5/2} \, dx\)
 3.689 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.690 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.691 \(\int \frac{e^{\tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.692 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.693 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.694 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{7/2}} \, dx\)
 3.695 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{9/2} \, dx\)
 3.696 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{7/2} \, dx\)
 3.697 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{5/2} \, dx\)
 3.698 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.699 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.700 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.701 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.702 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.703 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{7/2}} \, dx\)
 3.704 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{9/2}} \, dx\)
 3.705 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{9/2} \, dx\)
 3.706 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{7/2} \, dx\)
 3.707 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{5/2} \, dx\)
 3.708 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.709 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.710 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.711 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.712 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.713 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{7/2}} \, dx\)
 3.714 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{9/2} \, dx\)
 3.715 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{7/2} \, dx\)
 3.716 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{5/2} \, dx\)
 3.717 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.718 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.719 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.720 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.721 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.722 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{7/2}} \, dx\)
 3.723 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{9/2} \, dx\)
 3.724 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{7/2} \, dx\)
 3.725 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{5/2} \, dx\)
 3.726 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.727 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.728 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.729 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.730 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.731 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{7/2}} \, dx\)
 3.732 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{9/2} \, dx\)
 3.733 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{7/2} \, dx\)
 3.734 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{5/2} \, dx\)
 3.735 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.736 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.737 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.738 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.739 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.740 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{7/2}} \, dx\)
 3.741 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^m \, dx\)
 3.742 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^2 \, dx\)
 3.743 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x \, dx\)
 3.744 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.745 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x} \, dx\)
 3.746 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^2} \, dx\)
 3.747 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^3 \, dx\)
 3.748 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^2 \, dx\)
 3.749 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x \, dx\)
 3.750 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.751 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x} \, dx\)
 3.752 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^2} \, dx\)
 3.753 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^3} \, dx\)
 3.754 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^4} \, dx\)
 3.755 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^5} \, dx\)
 3.756 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^3 \, dx\)
 3.757 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^2 \, dx\)
 3.758 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x \, dx\)
 3.759 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.760 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x} \, dx\)
 3.761 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^2} \, dx\)
 3.762 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^3} \, dx\)
 3.763 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^4} \, dx\)
 3.764 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^5} \, dx\)
 3.765 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^m \, dx\)
 3.766 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^2 \, dx\)
 3.767 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x \, dx\)
 3.768 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.769 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x} \, dx\)
 3.770 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^2} \, dx\)
 3.771 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^3 \, dx\)
 3.772 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^2 \, dx\)
 3.773 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x \, dx\)
 3.774 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.775 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x} \, dx\)
 3.776 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^2} \, dx\)
 3.777 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^3} \, dx\)
 3.778 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^4} \, dx\)
 3.779 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^5} \, dx\)
 3.780 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^3 \, dx\)
 3.781 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x^2 \, dx\)
 3.782 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} x \, dx\)
 3.783 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.784 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x} \, dx\)
 3.785 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^2} \, dx\)
 3.786 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^3} \, dx\)
 3.787 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^4} \, dx\)
 3.788 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}}}{x^5} \, dx\)
 3.789 \(\int e^{-2 p \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.790 \(\int e^{2 p \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.791 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^2 \, dx\)
 3.792 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2}) \, dx\)
 3.793 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{c-\frac{c}{a^2 x^2}} \, dx\)
 3.794 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^2} \, dx\)
 3.795 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^{3/2} \, dx\)
 3.796 \(\int e^{n \tanh ^{-1}(a x)} \sqrt{c-\frac{c}{a^2 x^2}} \, dx\)
 3.797 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{\sqrt{c-\frac{c}{a^2 x^2}}} \, dx\)
 3.798 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{3/2}} \, dx\)
 3.799 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-\frac{c}{a^2 x^2})^{5/2}} \, dx\)
 3.800 \(\int e^{n \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.801 \(\int e^{4 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.802 \(\int e^{3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.803 \(\int e^{2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.804 \(\int e^{\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.805 \(\int e^{-\tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.806 \(\int e^{-2 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.807 \(\int e^{-3 \tanh ^{-1}(a x)} (c-\frac{c}{a^2 x^2})^p \, dx\)
 3.808 \(\int e^{\tanh ^{-1}(x)} x \sqrt{1+x} \sin (x) \, dx\)
 3.809 \(\int e^{\tanh ^{-1}(x)} \sqrt{1+x} \sin (x) \, dx\)
 3.810 \(\int e^{\tanh ^{-1}(x)} \sqrt{1-x} x \sin (x) \, dx\)
 3.811 \(\int e^{\tanh ^{-1}(x)} \sqrt{1-x} \sin (x) \, dx\)
 3.812 \(\int e^{\tanh ^{-1}(x)} x (1+x)^{3/2} \sin (x) \, dx\)
 3.813 \(\int e^{\tanh ^{-1}(x)} (1+x)^{3/2} \sin (x) \, dx\)
 3.814 \(\int e^{\tanh ^{-1}(x)} (1-x)^{3/2} x \sin (x) \, dx\)
 3.815 \(\int e^{\tanh ^{-1}(x)} (1-x)^{3/2} \sin (x) \, dx\)
 3.816 \(\int \frac{e^{\tanh ^{-1}(x)} x \sin (x)}{\sqrt{1+x}} \, dx\)
 3.817 \(\int \frac{e^{\tanh ^{-1}(x)} \sin (x)}{\sqrt{1+x}} \, dx\)
 3.818 \(\int e^{\tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.819 \(\int e^{\tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.820 \(\int e^{\tanh ^{-1}(a+b x)} x \, dx\)
 3.821 \(\int e^{\tanh ^{-1}(a+b x)} \, dx\)
 3.822 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.823 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.824 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.825 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{x^4} \, dx\)
 3.826 \(\int e^{2 \tanh ^{-1}(a+b x)} x^4 \, dx\)
 3.827 \(\int e^{2 \tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.828 \(\int e^{2 \tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.829 \(\int e^{2 \tanh ^{-1}(a+b x)} x \, dx\)
 3.830 \(\int e^{2 \tanh ^{-1}(a+b x)} \, dx\)
 3.831 \(\int \frac{e^{2 \tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.832 \(\int \frac{e^{2 \tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.833 \(\int \frac{e^{2 \tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.834 \(\int \frac{e^{2 \tanh ^{-1}(a+b x)}}{x^4} \, dx\)
 3.835 \(\int e^{3 \tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.836 \(\int e^{3 \tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.837 \(\int e^{3 \tanh ^{-1}(a+b x)} x \, dx\)
 3.838 \(\int e^{3 \tanh ^{-1}(a+b x)} \, dx\)
 3.839 \(\int \frac{e^{3 \tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.840 \(\int \frac{e^{3 \tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.841 \(\int \frac{e^{3 \tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.842 \(\int \frac{e^{3 \tanh ^{-1}(a+b x)}}{x^4} \, dx\)
 3.843 \(\int e^{-\tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.844 \(\int e^{-\tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.845 \(\int e^{-\tanh ^{-1}(a+b x)} x \, dx\)
 3.846 \(\int e^{-\tanh ^{-1}(a+b x)} \, dx\)
 3.847 \(\int \frac{e^{-\tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.848 \(\int \frac{e^{-\tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.849 \(\int \frac{e^{-\tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.850 \(\int \frac{e^{-\tanh ^{-1}(a+b x)}}{x^4} \, dx\)
 3.851 \(\int e^{-2 \tanh ^{-1}(a+b x)} x^4 \, dx\)
 3.852 \(\int e^{-2 \tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.853 \(\int e^{-2 \tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.854 \(\int e^{-2 \tanh ^{-1}(a+b x)} x \, dx\)
 3.855 \(\int e^{-2 \tanh ^{-1}(a+b x)} \, dx\)
 3.856 \(\int \frac{e^{-2 \tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.857 \(\int \frac{e^{-2 \tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.858 \(\int \frac{e^{-2 \tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.859 \(\int \frac{e^{-2 \tanh ^{-1}(a+b x)}}{x^4} \, dx\)
 3.860 \(\int e^{-3 \tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.861 \(\int e^{-3 \tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.862 \(\int e^{-3 \tanh ^{-1}(a+b x)} x \, dx\)
 3.863 \(\int e^{-3 \tanh ^{-1}(a+b x)} \, dx\)
 3.864 \(\int \frac{e^{-3 \tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.865 \(\int \frac{e^{-3 \tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.866 \(\int \frac{e^{-3 \tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.867 \(\int \frac{e^{-3 \tanh ^{-1}(a+b x)}}{x^4} \, dx\)
 3.868 \(\int \frac{e^{\tanh ^{-1}(1+b x)}}{2+b x} \, dx\)
 3.869 \(\int \frac{e^{\tanh ^{-1}(a+b x)} x^3}{1-a^2-2 a b x-b^2 x^2} \, dx\)
 3.870 \(\int \frac{e^{\tanh ^{-1}(a+b x)} x^2}{1-a^2-2 a b x-b^2 x^2} \, dx\)
 3.871 \(\int \frac{e^{\tanh ^{-1}(a+b x)} x}{1-a^2-2 a b x-b^2 x^2} \, dx\)
 3.872 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{1-a^2-2 a b x-b^2 x^2} \, dx\)
 3.873 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{x (1-a^2-2 a b x-b^2 x^2)} \, dx\)
 3.874 \(\int \frac{e^{\tanh ^{-1}(a+b x)}}{x^2 (1-a^2-2 a b x-b^2 x^2)} \, dx\)
 3.875 \(\int e^{n \tanh ^{-1}(a+b x)} x^m \, dx\)
 3.876 \(\int e^{n \tanh ^{-1}(a+b x)} x^3 \, dx\)
 3.877 \(\int e^{n \tanh ^{-1}(a+b x)} x^2 \, dx\)
 3.878 \(\int e^{n \tanh ^{-1}(a+b x)} x \, dx\)
 3.879 \(\int e^{n \tanh ^{-1}(a+b x)} \, dx\)
 3.880 \(\int \frac{e^{n \tanh ^{-1}(a+b x)}}{x} \, dx\)
 3.881 \(\int \frac{e^{n \tanh ^{-1}(a+b x)}}{x^2} \, dx\)
 3.882 \(\int \frac{e^{n \tanh ^{-1}(a+b x)}}{x^3} \, dx\)
 3.883 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.884 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.885 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.886 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.887 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{c-a^2 c x^2} \, dx\)
 3.888 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{c-a^2 c x^2} \, dx\)
 3.889 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{c-a^2 c x^2} \, dx\)
 3.890 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{c-a^2 c x^2} \, dx\)
 3.891 \(\int \frac{e^{\tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.892 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a^2 c x^2)} \, dx\)
 3.893 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\)
 3.894 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)} \, dx\)
 3.895 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (c-a^2 c x^2)} \, dx\)
 3.896 \(\int \frac{e^{\tanh ^{-1}(a x)} x^6}{(c-a^2 c x^2)^2} \, dx\)
 3.897 \(\int \frac{e^{\tanh ^{-1}(a x)} x^5}{(c-a^2 c x^2)^2} \, dx\)
 3.898 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\)
 3.899 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\)
 3.900 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\)
 3.901 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^2} \, dx\)
 3.902 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.903 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^2} \, dx\)
 3.904 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\)
 3.905 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^2} \, dx\)
 3.906 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (c-a^2 c x^2)^2} \, dx\)
 3.907 \(\int \frac{e^{\tanh ^{-1}(a x)} x^7}{(c-a^2 c x^2)^3} \, dx\)
 3.908 \(\int \frac{e^{\tanh ^{-1}(a x)} x^6}{(c-a^2 c x^2)^3} \, dx\)
 3.909 \(\int \frac{e^{\tanh ^{-1}(a x)} x^5}{(c-a^2 c x^2)^3} \, dx\)
 3.910 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^3} \, dx\)
 3.911 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^3} \, dx\)
 3.912 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\)
 3.913 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^3} \, dx\)
 3.914 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.915 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^3} \, dx\)
 3.916 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^3} \, dx\)
 3.917 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^3} \, dx\)
 3.918 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.919 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^5} \, dx\)
 3.920 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{\sqrt{1-a^2 x^2}} \, dx\)
 3.921 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{\sqrt{1-a^2 x^2}} \, dx\)
 3.922 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{\sqrt{1-a^2 x^2}} \, dx\)
 3.923 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{\sqrt{1-a^2 x^2}} \, dx\)
 3.924 \(\int \frac{e^{\tanh ^{-1}(a x)}}{\sqrt{1-a^2 x^2}} \, dx\)
 3.925 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x \sqrt{1-a^2 x^2}} \, dx\)
 3.926 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 \sqrt{1-a^2 x^2}} \, dx\)
 3.927 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 \sqrt{1-a^2 x^2}} \, dx\)
 3.928 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 \sqrt{1-a^2 x^2}} \, dx\)
 3.929 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.930 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.931 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.932 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.933 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.934 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (1-a^2 x^2)^{3/2}} \, dx\)
 3.935 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (1-a^2 x^2)^{3/2}} \, dx\)
 3.936 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (1-a^2 x^2)^{3/2}} \, dx\)
 3.937 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (1-a^2 x^2)^{3/2}} \, dx\)
 3.938 \(\int \frac{e^{\tanh ^{-1}(a x)} x^6}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.939 \(\int \frac{e^{\tanh ^{-1}(a x)} x^5}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.940 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.941 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.942 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.943 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.944 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.945 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (1-a^2 x^2)^{5/2}} \, dx\)
 3.946 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (1-a^2 x^2)^{5/2}} \, dx\)
 3.947 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (1-a^2 x^2)^{5/2}} \, dx\)
 3.948 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (1-a^2 x^2)^{5/2}} \, dx\)
 3.949 \(\int e^{\tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.950 \(\int e^{\tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.951 \(\int e^{\tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.952 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.953 \(\int \frac{e^{\tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.954 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.955 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.956 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\)
 3.957 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.958 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.959 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.960 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.961 \(\int \frac{e^{\tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.962 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x \sqrt{c-a^2 c x^2}} \, dx\)
 3.963 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 \sqrt{c-a^2 c x^2}} \, dx\)
 3.964 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 \sqrt{c-a^2 c x^2}} \, dx\)
 3.965 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 \sqrt{c-a^2 c x^2}} \, dx\)
 3.966 \(\int \frac{e^{\tanh ^{-1}(a x)} x^5}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.967 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.968 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.969 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.970 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.971 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.972 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\)
 3.973 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.974 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.975 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^4 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.976 \(\int \frac{e^{\tanh ^{-1}(a x)} x^6}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.977 \(\int \frac{e^{\tanh ^{-1}(a x)} x^5}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.978 \(\int \frac{e^{\tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.979 \(\int \frac{e^{\tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.980 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.981 \(\int \frac{e^{\tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.982 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.983 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{5/2}} \, dx\)
 3.984 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{5/2}} \, dx\)
 3.985 \(\int \frac{e^{\tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^{5/2}} \, dx\)
 3.986 \(\int \frac{e^{\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.987 \(\int e^{\tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^2 \, dx\)
 3.988 \(\int e^{\tanh ^{-1}(a x)} x^m (c-a^2 c x^2) \, dx\)
 3.989 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{c-a^2 c x^2} \, dx\)
 3.990 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^2} \, dx\)
 3.991 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^3} \, dx\)
 3.992 \(\int e^{\tanh ^{-1}(a x)} x^m (1-a^2 x^2)^{5/2} \, dx\)
 3.993 \(\int e^{\tanh ^{-1}(a x)} x^m (1-a^2 x^2)^{3/2} \, dx\)
 3.994 \(\int e^{\tanh ^{-1}(a x)} x^m \sqrt{1-a^2 x^2} \, dx\)
 3.995 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{\sqrt{1-a^2 x^2}} \, dx\)
 3.996 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.997 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.998 \(\int e^{\tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^{5/2} \, dx\)
 3.999 \(\int e^{\tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^{3/2} \, dx\)
 3.1000 \(\int e^{\tanh ^{-1}(a x)} x^m \sqrt{c-a^2 c x^2} \, dx\)
 3.1001 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1002 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1003 \(\int \frac{e^{\tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1004 \(\int e^{\tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^p \, dx\)
 3.1005 \(\int e^{\tanh ^{-1}(a x)} x^3 (1-a^2 x^2)^p \, dx\)
 3.1006 \(\int e^{\tanh ^{-1}(a x)} x^2 (1-a^2 x^2)^p \, dx\)
 3.1007 \(\int e^{\tanh ^{-1}(a x)} x (1-a^2 x^2)^p \, dx\)
 3.1008 \(\int e^{\tanh ^{-1}(a x)} (1-a^2 x^2)^p \, dx\)
 3.1009 \(\int \frac{e^{\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x} \, dx\)
 3.1010 \(\int \frac{e^{\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x^2} \, dx\)
 3.1011 \(\int \frac{e^{\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x^3} \, dx\)
 3.1012 \(\int e^{\tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^p \, dx\)
 3.1013 \(\int e^{\tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^p \, dx\)
 3.1014 \(\int e^{\tanh ^{-1}(a x)} x (c-a^2 c x^2)^p \, dx\)
 3.1015 \(\int e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1016 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x} \, dx\)
 3.1017 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\)
 3.1018 \(\int \frac{e^{\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x^3} \, dx\)
 3.1019 \(\int e^{2 \tanh ^{-1}(a x)} x^4 (c-a^2 c x^2) \, dx\)
 3.1020 \(\int e^{2 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2) \, dx\)
 3.1021 \(\int e^{2 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2) \, dx\)
 3.1022 \(\int e^{2 \tanh ^{-1}(a x)} x (c-a^2 c x^2) \, dx\)
 3.1023 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1024 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x} \, dx\)
 3.1025 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^2} \, dx\)
 3.1026 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^3} \, dx\)
 3.1027 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^4} \, dx\)
 3.1028 \(\int e^{2 \tanh ^{-1}(a x)} x^4 (c-a^2 c x^2)^2 \, dx\)
 3.1029 \(\int e^{2 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^2 \, dx\)
 3.1030 \(\int e^{2 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^2 \, dx\)
 3.1031 \(\int e^{2 \tanh ^{-1}(a x)} x (c-a^2 c x^2)^2 \, dx\)
 3.1032 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1033 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2}{x} \, dx\)
 3.1034 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2}{x^2} \, dx\)
 3.1035 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2}{x^3} \, dx\)
 3.1036 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2}{x^4} \, dx\)
 3.1037 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2}{x^5} \, dx\)
 3.1038 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2}{x^6} \, dx\)
 3.1039 \(\int e^{2 \tanh ^{-1}(a x)} x^4 (c-a^2 c x^2)^3 \, dx\)
 3.1040 \(\int e^{2 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^3 \, dx\)
 3.1041 \(\int e^{2 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^3 \, dx\)
 3.1042 \(\int e^{2 \tanh ^{-1}(a x)} x (c-a^2 c x^2)^3 \, dx\)
 3.1043 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1044 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3}{x} \, dx\)
 3.1045 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3}{x^2} \, dx\)
 3.1046 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3}{x^3} \, dx\)
 3.1047 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3}{x^4} \, dx\)
 3.1048 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.1049 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^4}{c-a^2 c x^2} \, dx\)
 3.1050 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^3}{c-a^2 c x^2} \, dx\)
 3.1051 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^2}{c-a^2 c x^2} \, dx\)
 3.1052 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x}{c-a^2 c x^2} \, dx\)
 3.1053 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1054 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)} \, dx\)
 3.1055 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\)
 3.1056 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)} \, dx\)
 3.1057 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^4 (c-a^2 c x^2)} \, dx\)
 3.1058 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\)
 3.1059 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\)
 3.1060 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\)
 3.1061 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^2} \, dx\)
 3.1062 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1063 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^2} \, dx\)
 3.1064 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\)
 3.1065 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^2} \, dx\)
 3.1066 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^4 (c-a^2 c x^2)^2} \, dx\)
 3.1067 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^5}{(c-a^2 c x^2)^3} \, dx\)
 3.1068 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^3} \, dx\)
 3.1069 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^3} \, dx\)
 3.1070 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\)
 3.1071 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^3} \, dx\)
 3.1072 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1073 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^3} \, dx\)
 3.1074 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^3} \, dx\)
 3.1075 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^3} \, dx\)
 3.1076 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1077 \(\int e^{2 \tanh ^{-1}(a x)} x^3 \sqrt{c-a^2 c x^2} \, dx\)
 3.1078 \(\int e^{2 \tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.1079 \(\int e^{2 \tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.1080 \(\int e^{2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1081 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.1082 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.1083 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^3} \, dx\)
 3.1084 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^4} \, dx\)
 3.1085 \(\int \frac{e^{2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^5} \, dx\)
 3.1086 \(\int e^{2 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^{3/2} \, dx\)
 3.1087 \(\int e^{2 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^{3/2} \, dx\)
 3.1088 \(\int e^{2 \tanh ^{-1}(a x)} x (c-a^2 c x^2)^{3/2} \, dx\)
 3.1089 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1090 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x} \, dx\)
 3.1091 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^2} \, dx\)
 3.1092 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^3} \, dx\)
 3.1093 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^4} \, dx\)
 3.1094 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^5} \, dx\)
 3.1095 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^6} \, dx\)
 3.1096 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^7} \, dx\)
 3.1097 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2}}{x^8} \, dx\)
 3.1098 \(\int e^{2 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^{5/2} \, dx\)
 3.1099 \(\int e^{2 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^{5/2} \, dx\)
 3.1100 \(\int e^{2 \tanh ^{-1}(a x)} x (c-a^2 c x^2)^{5/2} \, dx\)
 3.1101 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.1102 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2}}{x} \, dx\)
 3.1103 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2}}{x^2} \, dx\)
 3.1104 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2}}{x^3} \, dx\)
 3.1105 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2}}{x^4} \, dx\)
 3.1106 \(\int \frac{e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2}}{x^5} \, dx\)
 3.1107 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\)
 3.1108 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^3}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1109 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^2}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1110 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1111 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1112 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x \sqrt{c-a^2 c x^2}} \, dx\)
 3.1113 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^2 \sqrt{c-a^2 c x^2}} \, dx\)
 3.1114 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^3 \sqrt{c-a^2 c x^2}} \, dx\)
 3.1115 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^4 \sqrt{c-a^2 c x^2}} \, dx\)
 3.1116 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1117 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1118 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1119 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1120 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\)
 3.1121 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.1122 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.1123 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1124 \(\int \frac{e^{2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1125 \(\int e^{2 \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^3 \, dx\)
 3.1126 \(\int e^{2 \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^2 \, dx\)
 3.1127 \(\int e^{2 \tanh ^{-1}(a x)} x^m (c-a^2 c x^2) \, dx\)
 3.1128 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^m}{c-a^2 c x^2} \, dx\)
 3.1129 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^2} \, dx\)
 3.1130 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^3} \, dx\)
 3.1131 \(\int e^{2 \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^{5/2} \, dx\)
 3.1132 \(\int e^{2 \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^{3/2} \, dx\)
 3.1133 \(\int e^{2 \tanh ^{-1}(a x)} x^m \sqrt{c-a^2 c x^2} \, dx\)
 3.1134 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^m}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1135 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1136 \(\int e^{2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1137 \(\int e^{3 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2) \, dx\)
 3.1138 \(\int e^{3 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2) \, dx\)
 3.1139 \(\int e^{3 \tanh ^{-1}(a x)} x (c-a^2 c x^2) \, dx\)
 3.1140 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1141 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x} \, dx\)
 3.1142 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^2} \, dx\)
 3.1143 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^3} \, dx\)
 3.1144 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^4} \, dx\)
 3.1145 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^5} \, dx\)
 3.1146 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)}{x^6} \, dx\)
 3.1147 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1148 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1149 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.1150 \(\int \frac{e^{3 \tanh ^{-1}(a x)} x^2}{c-a^2 c x^2} \, dx\)
 3.1151 \(\int \frac{e^{3 \tanh ^{-1}(a x)} x}{c-a^2 c x^2} \, dx\)
 3.1152 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1153 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1154 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1155 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1156 \(\int e^{3 \tanh ^{-1}(a x)} x^3 \sqrt{c-a^2 c x^2} \, dx\)
 3.1157 \(\int e^{3 \tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.1158 \(\int e^{3 \tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.1159 \(\int e^{3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1160 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.1161 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.1162 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^3} \, dx\)
 3.1163 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^4} \, dx\)
 3.1164 \(\int \frac{e^{3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^5} \, dx\)
 3.1165 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1166 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.1167 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\)
 3.1168 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{9/2} \, dx\)
 3.1169 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1170 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1171 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1172 \(\int \frac{e^{3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1173 \(\int e^{3 \tanh ^{-1}(a x)} x^m \sqrt{c-a^2 c x^2} \, dx\)
 3.1174 \(\int e^{3 \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^p \, dx\)
 3.1175 \(\int e^{3 \tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^p \, dx\)
 3.1176 \(\int e^{3 \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^p \, dx\)
 3.1177 \(\int e^{3 \tanh ^{-1}(a x)} x (c-a^2 c x^2)^p \, dx\)
 3.1178 \(\int e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1179 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x} \, dx\)
 3.1180 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\)
 3.1181 \(\int \frac{e^{3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x^3} \, dx\)
 3.1182 \(\int e^{4 \tanh ^{-1}(a x)} (c-a^2 c x^2)^5 \, dx\)
 3.1183 \(\int e^{4 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.1184 \(\int e^{4 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1185 \(\int e^{4 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1186 \(\int e^{4 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1187 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1188 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1189 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1190 \(\int \frac{e^{4 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1191 \(\int e^{4 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1192 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.1193 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1194 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1195 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1196 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1197 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1198 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1199 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1200 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^5} \, dx\)
 3.1201 \(\int e^{-\tanh ^{-1}(a x)} x^m \sqrt{c-a^2 c x^2} \, dx\)
 3.1202 \(\int e^{-\tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.1203 \(\int e^{-\tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.1204 \(\int e^{-\tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1205 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.1206 \(\int \frac{e^{-\tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.1207 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1208 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.1209 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\)
 3.1210 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^{9/2} \, dx\)
 3.1211 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1212 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1213 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1214 \(\int \frac{e^{-\tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1215 \(\int e^{-\tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^p \, dx\)
 3.1216 \(\int e^{-\tanh ^{-1}(a x)} x^3 (1-a^2 x^2)^p \, dx\)
 3.1217 \(\int e^{-\tanh ^{-1}(a x)} x^2 (1-a^2 x^2)^p \, dx\)
 3.1218 \(\int e^{-\tanh ^{-1}(a x)} x (1-a^2 x^2)^p \, dx\)
 3.1219 \(\int e^{-\tanh ^{-1}(a x)} (1-a^2 x^2)^p \, dx\)
 3.1220 \(\int \frac{e^{-\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x} \, dx\)
 3.1221 \(\int \frac{e^{-\tanh ^{-1}(a x)} (1-a^2 x^2)^p}{x^2} \, dx\)
 3.1222 \(\int e^{-\tanh ^{-1}(a x)} x^3 (c-a^2 c x^2)^p \, dx\)
 3.1223 \(\int e^{-\tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^p \, dx\)
 3.1224 \(\int e^{-\tanh ^{-1}(a x)} x (c-a^2 c x^2)^p \, dx\)
 3.1225 \(\int e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1226 \(\int \frac{e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x} \, dx\)
 3.1227 \(\int \frac{e^{-\tanh ^{-1}(a x)} (c-a^2 c x^2)^p}{x^2} \, dx\)
 3.1228 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.1229 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1230 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1231 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1232 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1233 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1234 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1235 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1236 \(\int e^{-2 \tanh ^{-1}(a x)} x^3 \sqrt{c-a^2 c x^2} \, dx\)
 3.1237 \(\int e^{-2 \tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.1238 \(\int e^{-2 \tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.1239 \(\int e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1240 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.1241 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.1242 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^3} \, dx\)
 3.1243 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^4} \, dx\)
 3.1244 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^5} \, dx\)
 3.1245 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1246 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.1247 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\)
 3.1248 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1249 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1250 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1251 \(\int \frac{e^{-2 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1252 \(\int e^{-2 \tanh ^{-1}(a x)} x^m \sqrt{c-a^2 c x^2} \, dx\)
 3.1253 \(\int e^{-2 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1254 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^4 \, dx\)
 3.1255 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1256 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1257 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1258 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1259 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1260 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1261 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1262 \(\int e^{-3 \tanh ^{-1}(a x)} x^3 \sqrt{c-a^2 c x^2} \, dx\)
 3.1263 \(\int e^{-3 \tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.1264 \(\int e^{-3 \tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.1265 \(\int e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1266 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.1267 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.1268 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^3} \, dx\)
 3.1269 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^4} \, dx\)
 3.1270 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^5} \, dx\)
 3.1271 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{9/2} \, dx\)
 3.1272 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{7/2} \, dx\)
 3.1273 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.1274 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1275 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1276 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1277 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1278 \(\int \frac{e^{-3 \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1279 \(\int e^{-3 \tanh ^{-1}(a x)} x^m \sqrt{c-a^2 c x^2} \, dx\)
 3.1280 \(\int e^{-3 \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1281 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} (1-a^2 x^2)^{5/2} \, dx\)
 3.1282 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} (1-a^2 x^2)^{3/2} \, dx\)
 3.1283 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} \sqrt{1-a^2 x^2} \, dx\)
 3.1284 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{\sqrt{1-a^2 x^2}} \, dx\)
 3.1285 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{3/2}} \, dx\)
 3.1286 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{5/2}} \, dx\)
 3.1287 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{7/2}} \, dx\)
 3.1288 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(1-a^2 x^2)^{9/2}} \, dx\)
 3.1289 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} (c-a^2 c x^2)^{5/2} \, dx\)
 3.1290 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1291 \(\int e^{\frac{1}{2} \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1292 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1293 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1294 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1295 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1296 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{9/2}} \, dx\)
 3.1297 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{5/4}} \, dx\)
 3.1298 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{5/4}} \, dx\)
 3.1299 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{5/4}} \, dx\)
 3.1300 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/4}} \, dx\)
 3.1301 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{5/4}} \, dx\)
 3.1302 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{5/4}} \, dx\)
 3.1303 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{9/8}} \, dx\)
 3.1304 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{9/8}} \, dx\)
 3.1305 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{9/8}} \, dx\)
 3.1306 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{9/8}} \, dx\)
 3.1307 \(\int \frac{e^{\frac{1}{2} \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{9/8}} \, dx\)
 3.1308 \(\int e^{n \tanh ^{-1}(a x)} (c-a^2 c x^2) \, dx\)
 3.1309 \(\int e^{n \tanh ^{-1}(a x)} (c-a^2 c x^2)^2 \, dx\)
 3.1310 \(\int e^{n \tanh ^{-1}(a x)} (c-a^2 c x^2)^3 \, dx\)
 3.1311 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^4}{c-a^2 c x^2} \, dx\)
 3.1312 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^3}{c-a^2 c x^2} \, dx\)
 3.1313 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^2}{c-a^2 c x^2} \, dx\)
 3.1314 \(\int \frac{e^{n \tanh ^{-1}(a x)} x}{c-a^2 c x^2} \, dx\)
 3.1315 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{c-a^2 c x^2} \, dx\)
 3.1316 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)} \, dx\)
 3.1317 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)} \, dx\)
 3.1318 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^4}{(c-a^2 c x^2)^2} \, dx\)
 3.1319 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^2} \, dx\)
 3.1320 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^2} \, dx\)
 3.1321 \(\int \frac{e^{n \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^2} \, dx\)
 3.1322 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^2} \, dx\)
 3.1323 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^2} \, dx\)
 3.1324 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^2} \, dx\)
 3.1325 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^3} \, dx\)
 3.1326 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^4} \, dx\)
 3.1327 \(\int e^{n \tanh ^{-1}(a x)} x^3 \sqrt{c-a^2 c x^2} \, dx\)
 3.1328 \(\int e^{n \tanh ^{-1}(a x)} x^2 \sqrt{c-a^2 c x^2} \, dx\)
 3.1329 \(\int e^{n \tanh ^{-1}(a x)} x \sqrt{c-a^2 c x^2} \, dx\)
 3.1330 \(\int e^{n \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2} \, dx\)
 3.1331 \(\int \frac{e^{n \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x} \, dx\)
 3.1332 \(\int \frac{e^{n \tanh ^{-1}(a x)} \sqrt{c-a^2 c x^2}}{x^2} \, dx\)
 3.1333 \(\int e^{n \tanh ^{-1}(a x)} (c-a^2 c x^2)^{3/2} \, dx\)
 3.1334 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^3}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1335 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^2}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1336 \(\int \frac{e^{n \tanh ^{-1}(a x)} x}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1337 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{\sqrt{c-a^2 c x^2}} \, dx\)
 3.1338 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x \sqrt{c-a^2 c x^2}} \, dx\)
 3.1339 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^2 \sqrt{c-a^2 c x^2}} \, dx\)
 3.1340 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^3 \sqrt{c-a^2 c x^2}} \, dx\)
 3.1341 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1342 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1343 \(\int \frac{e^{n \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1344 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1345 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{3/2}} \, dx\)
 3.1346 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.1347 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^{3/2}} \, dx\)
 3.1348 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^3}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1349 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1350 \(\int \frac{e^{n \tanh ^{-1}(a x)} x}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1351 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{5/2}} \, dx\)
 3.1352 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x (c-a^2 c x^2)^{5/2}} \, dx\)
 3.1353 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^2 (c-a^2 c x^2)^{5/2}} \, dx\)
 3.1354 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{x^3 (c-a^2 c x^2)^{5/2}} \, dx\)
 3.1355 \(\int \frac{e^{n \tanh ^{-1}(a x)}}{(c-a^2 c x^2)^{7/2}} \, dx\)
 3.1356 \(\int e^{n \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^2 \, dx\)
 3.1357 \(\int e^{n \tanh ^{-1}(a x)} x^m (c-a^2 c x^2) \, dx\)
 3.1358 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^m}{c-a^2 c x^2} \, dx\)
 3.1359 \(\int \frac{e^{n \tanh ^{-1}(a x)} x^m}{(c-a^2 c x^2)^2} \, dx\)
 3.1360 \(\int e^{n \tanh ^{-1}(a x)} x^m (c-a^2 c x^2)^p \, dx\)
 3.1361 \(\int e^{n \tanh ^{-1}(a x)} x (c-a^2 c x^2)^p \, dx\)
 3.1362 \(\int e^{n \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1363 \(\int e^{2 (1+p) \tanh ^{-1}(a x)} (1-a^2 x^2)^{-p} \, dx\)
 3.1364 \(\int e^{2 (1+p) \tanh ^{-1}(a x)} (c-a^2 c x^2)^{-p} \, dx\)
 3.1365 \(\int e^{2 p \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1366 \(\int e^{-2 p \tanh ^{-1}(a x)} (c-a^2 c x^2)^p \, dx\)
 3.1367 \(\int e^{n \tanh ^{-1}(a x)} x^2 (c-a^2 c x^2)^{-1-\frac{n^2}{2}} \, dx\)
 3.1368 \(\int \frac{e^{6 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{19}} \, dx\)
 3.1369 \(\int \frac{e^{4 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\)
 3.1370 \(\int \frac{e^{2 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\)
 3.1371 \(\int \frac{e^{-2 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^3} \, dx\)
 3.1372 \(\int \frac{e^{-4 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^9} \, dx\)
 3.1373 \(\int \frac{e^{5 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\)
 3.1374 \(\int \frac{e^{3 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\)
 3.1375 \(\int \frac{e^{\tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1376 \(\int \frac{e^{-\tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{3/2}} \, dx\)
 3.1377 \(\int \frac{e^{-3 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{11/2}} \, dx\)
 3.1378 \(\int \frac{e^{-5 \tanh ^{-1}(a x)} x^2}{(c-a^2 c x^2)^{27/2}} \, dx\)