3.1 \(\int \tanh ^6(a+b x) \, dx\)
 3.2 \(\int \tanh ^5(a+b x) \, dx\)
 3.3 \(\int \tanh ^4(a+b x) \, dx\)
 3.4 \(\int \tanh ^3(a+b x) \, dx\)
 3.5 \(\int \tanh ^2(a+b x) \, dx\)
 3.6 \(\int \tanh (a+b x) \, dx\)
 3.7 \(\int \coth (a+b x) \, dx\)
 3.8 \(\int \coth ^2(a+b x) \, dx\)
 3.9 \(\int \coth ^3(a+b x) \, dx\)
 3.10 \(\int \coth ^4(a+b x) \, dx\)
 3.11 \(\int \coth ^5(a+b x) \, dx\)
 3.12 \(\int \coth ^6(a+b x) \, dx\)
 3.13 \(\int (b \tanh (c+d x))^{7/2} \, dx\)
 3.14 \(\int (b \tanh (c+d x))^{5/2} \, dx\)
 3.15 \(\int (b \tanh (c+d x))^{3/2} \, dx\)
 3.16 \(\int \sqrt{b \tanh (c+d x)} \, dx\)
 3.17 \(\int \frac{1}{\sqrt{b \tanh (c+d x)}} \, dx\)
 3.18 \(\int \frac{1}{(b \tanh (c+d x))^{3/2}} \, dx\)
 3.19 \(\int \frac{1}{(b \tanh (c+d x))^{5/2}} \, dx\)
 3.20 \(\int \frac{1}{(b \tanh (c+d x))^{7/2}} \, dx\)
 3.21 \(\int \sqrt [3]{\tanh (8 x)} \, dx\)
 3.22 \(\int \tanh ^n(a+b x) \, dx\)
 3.23 \(\int (b \tanh (c+d x))^n \, dx\)
 3.24 \(\int (a \tanh ^2(x))^{3/2} \, dx\)
 3.25 \(\int \sqrt{a \tanh ^2(x)} \, dx\)
 3.26 \(\int \frac{1}{\sqrt{a \tanh ^2(x)}} \, dx\)
 3.27 \(\int (-\tanh ^2(c+d x))^{5/2} \, dx\)
 3.28 \(\int (-\tanh ^2(c+d x))^{3/2} \, dx\)
 3.29 \(\int \sqrt{-\tanh ^2(c+d x)} \, dx\)
 3.30 \(\int \frac{1}{\sqrt{-\tanh ^2(c+d x)}} \, dx\)
 3.31 \(\int \frac{1}{(-\tanh ^2(c+d x))^{3/2}} \, dx\)
 3.32 \(\int \frac{1}{(-\tanh ^2(c+d x))^{5/2}} \, dx\)
 3.33 \(\int \sqrt{\tanh ^3(x)} \, dx\)
 3.34 \(\int (a \tanh ^3(x))^{3/2} \, dx\)
 3.35 \(\int \sqrt{a \tanh ^3(x)} \, dx\)
 3.36 \(\int \frac{1}{\sqrt{a \tanh ^3(x)}} \, dx\)
 3.37 \(\int (a \tanh ^4(x))^{3/2} \, dx\)
 3.38 \(\int \sqrt{a \tanh ^4(x)} \, dx\)
 3.39 \(\int \frac{1}{\sqrt{a \tanh ^4(x)}} \, dx\)
 3.40 \(\int (b \tanh ^m(c+d x))^n \, dx\)
 3.41 \(\int (a+a \tanh (c+d x))^5 \, dx\)
 3.42 \(\int (a+a \tanh (c+d x))^4 \, dx\)
 3.43 \(\int (a+a \tanh (c+d x))^3 \, dx\)
 3.44 \(\int (a+a \tanh (c+d x))^2 \, dx\)
 3.45 \(\int \frac{1}{a+a \tanh (c+d x)} \, dx\)
 3.46 \(\int \frac{1}{(a+a \tanh (c+d x))^2} \, dx\)
 3.47 \(\int \frac{1}{(a+a \tanh (c+d x))^3} \, dx\)
 3.48 \(\int \frac{1}{(a+a \tanh (c+d x))^4} \, dx\)
 3.49 \(\int \frac{1}{(a+a \tanh (c+d x))^5} \, dx\)
 3.50 \(\int (1+\tanh (x))^{7/2} \, dx\)
 3.51 \(\int (1+\tanh (x))^{5/2} \, dx\)
 3.52 \(\int (1+\tanh (x))^{3/2} \, dx\)
 3.53 \(\int \sqrt{1+\tanh (x)} \, dx\)
 3.54 \(\int \frac{1}{\sqrt{1+\tanh (x)}} \, dx\)
 3.55 \(\int \frac{1}{(1+\tanh (x))^{3/2}} \, dx\)
 3.56 \(\int \frac{1}{(1+\tanh (x))^{5/2}} \, dx\)
 3.57 \(\int (a+b \tanh (c+d x))^5 \, dx\)
 3.58 \(\int (a+b \tanh (c+d x))^4 \, dx\)
 3.59 \(\int (a+b \tanh (c+d x))^3 \, dx\)
 3.60 \(\int (a+b \tanh (c+d x))^2 \, dx\)
 3.61 \(\int \frac{1}{a+b \tanh (c+d x)} \, dx\)
 3.62 \(\int \frac{1}{(a+b \tanh (c+d x))^2} \, dx\)
 3.63 \(\int \frac{1}{(a+b \tanh (c+d x))^3} \, dx\)
 3.64 \(\int \frac{1}{(a+b \tanh (c+d x))^4} \, dx\)
 3.65 \(\int \frac{1}{4+6 \tanh (c+d x)} \, dx\)
 3.66 \(\int \frac{1}{4-6 \tanh (c+d x)} \, dx\)
 3.67 \(\int \sqrt{a+b \tanh (c+d x)} \, dx\)
 3.68 \(\int \frac{1}{\sqrt{a+b \tanh (c+d x)}} \, dx\)
 3.69 \(\int \frac{\sinh ^4(x)}{1+\tanh (x)} \, dx\)
 3.70 \(\int \frac{\sinh ^3(x)}{1+\tanh (x)} \, dx\)
 3.71 \(\int \frac{\sinh ^2(x)}{1+\tanh (x)} \, dx\)
 3.72 \(\int \frac{\sinh (x)}{1+\tanh (x)} \, dx\)
 3.73 \(\int \frac{\text{csch}(x)}{1+\tanh (x)} \, dx\)
 3.74 \(\int \frac{\text{csch}^2(x)}{1+\tanh (x)} \, dx\)
 3.75 \(\int \frac{\text{csch}^3(x)}{1+\tanh (x)} \, dx\)
 3.76 \(\int \frac{\text{csch}^4(x)}{1+\tanh (x)} \, dx\)
 3.77 \(\int \frac{\text{csch}^5(x)}{1+\tanh (x)} \, dx\)
 3.78 \(\int \frac{\text{csch}^6(x)}{1+\tanh (x)} \, dx\)
 3.79 \(\int \frac{\text{csch}^7(x)}{1+\tanh (x)} \, dx\)
 3.80 \(\int \frac{\sinh ^4(x)}{a+b \tanh (x)} \, dx\)
 3.81 \(\int \frac{\sinh ^3(x)}{a+b \tanh (x)} \, dx\)
 3.82 \(\int \frac{\sinh ^2(x)}{a+b \tanh (x)} \, dx\)
 3.83 \(\int \frac{\sinh (x)}{a+b \tanh (x)} \, dx\)
 3.84 \(\int \frac{\text{csch}(x)}{a+b \tanh (x)} \, dx\)
 3.85 \(\int \frac{\text{csch}^2(x)}{a+b \tanh (x)} \, dx\)
 3.86 \(\int \frac{\text{csch}^3(x)}{a+b \tanh (x)} \, dx\)
 3.87 \(\int \frac{\text{csch}^4(x)}{a+b \tanh (x)} \, dx\)
 3.88 \(\int \frac{\text{csch}^5(x)}{a+b \tanh (x)} \, dx\)
 3.89 \(\int \frac{\text{csch}^6(x)}{a+b \tanh (x)} \, dx\)
 3.90 \(\int \frac{\text{csch}(x)}{i+\tanh (x)} \, dx\)
 3.91 \(\int \frac{\cosh ^4(x)}{1+\tanh (x)} \, dx\)
 3.92 \(\int \frac{\cosh ^3(x)}{1+\tanh (x)} \, dx\)
 3.93 \(\int \frac{\cosh ^2(x)}{1+\tanh (x)} \, dx\)
 3.94 \(\int \frac{\cosh (x)}{1+\tanh (x)} \, dx\)
 3.95 \(\int \frac{\text{sech}(x)}{1+\tanh (x)} \, dx\)
 3.96 \(\int \frac{\text{sech}^2(x)}{1+\tanh (x)} \, dx\)
 3.97 \(\int \frac{\text{sech}^3(x)}{1+\tanh (x)} \, dx\)
 3.98 \(\int \frac{\text{sech}^4(x)}{1+\tanh (x)} \, dx\)
 3.99 \(\int \frac{\text{sech}^5(x)}{1+\tanh (x)} \, dx\)
 3.100 \(\int \frac{\text{sech}^6(x)}{1+\tanh (x)} \, dx\)
 3.101 \(\int \frac{\text{sech}^7(x)}{1+\tanh (x)} \, dx\)
 3.102 \(\int \frac{\text{sech}^8(x)}{a+b \tanh (x)} \, dx\)
 3.103 \(\int \frac{\text{sech}^6(x)}{a+b \tanh (x)} \, dx\)
 3.104 \(\int \frac{\text{sech}^4(x)}{a+b \tanh (x)} \, dx\)
 3.105 \(\int \frac{\text{sech}^2(x)}{a+b \tanh (x)} \, dx\)
 3.106 \(\int \frac{1}{a+b \tanh (x)} \, dx\)
 3.107 \(\int \frac{\cosh ^2(x)}{a+b \tanh (x)} \, dx\)
 3.108 \(\int \frac{\cosh ^4(x)}{a+b \tanh (x)} \, dx\)
 3.109 \(\int \frac{\text{sech}^7(x)}{a+b \tanh (x)} \, dx\)
 3.110 \(\int \frac{\text{sech}^5(x)}{a+b \tanh (x)} \, dx\)
 3.111 \(\int \frac{\text{sech}^3(x)}{a+b \tanh (x)} \, dx\)
 3.112 \(\int \frac{\text{sech}(x)}{a+b \tanh (x)} \, dx\)
 3.113 \(\int \frac{\cosh (x)}{a+b \tanh (x)} \, dx\)
 3.114 \(\int \frac{\cosh ^3(x)}{a+b \tanh (x)} \, dx\)
 3.115 \(\int \frac{\tanh ^5(x)}{1+\tanh (x)} \, dx\)
 3.116 \(\int \frac{\tanh ^4(x)}{1+\tanh (x)} \, dx\)
 3.117 \(\int \frac{\tanh ^3(x)}{1+\tanh (x)} \, dx\)
 3.118 \(\int \frac{\tanh ^2(x)}{1+\tanh (x)} \, dx\)
 3.119 \(\int \frac{\tanh (x)}{1+\tanh (x)} \, dx\)
 3.120 \(\int \frac{1}{1+\tanh (x)} \, dx\)
 3.121 \(\int \frac{\coth (x)}{1+\tanh (x)} \, dx\)
 3.122 \(\int \frac{\coth ^2(x)}{1+\tanh (x)} \, dx\)
 3.123 \(\int \frac{\coth ^3(x)}{1+\tanh (x)} \, dx\)
 3.124 \(\int \frac{\coth ^4(x)}{1+\tanh (x)} \, dx\)
 3.125 \(\int \tanh (x) (1+\tanh (x))^{3/2} \, dx\)
 3.126 \(\int \tanh (x) \sqrt{1+\tanh (x)} \, dx\)
 3.127 \(\int \frac{\tanh (x)}{\sqrt{1+\tanh (x)}} \, dx\)
 3.128 \(\int \frac{\tanh (x)}{(1+\tanh (x))^{3/2}} \, dx\)
 3.129 \(\int \tanh ^2(x) (1+\tanh (x))^{3/2} \, dx\)
 3.130 \(\int \tanh ^2(x) \sqrt{1+\tanh (x)} \, dx\)
 3.131 \(\int \frac{\tanh ^2(x)}{\sqrt{1+\tanh (x)}} \, dx\)
 3.132 \(\int \frac{\tanh ^2(x)}{(1+\tanh (x))^{3/2}} \, dx\)
 3.133 \(\int \frac{\tanh ^5(x)}{a+b \tanh (x)} \, dx\)
 3.134 \(\int \frac{\tanh ^4(x)}{a+b \tanh (x)} \, dx\)
 3.135 \(\int \frac{\tanh ^3(x)}{a+b \tanh (x)} \, dx\)
 3.136 \(\int \frac{\tanh ^2(x)}{a+b \tanh (x)} \, dx\)
 3.137 \(\int \frac{\tanh (x)}{a+b \tanh (x)} \, dx\)
 3.138 \(\int \frac{1}{a+b \tanh (x)} \, dx\)
 3.139 \(\int \frac{\coth (x)}{a+b \tanh (x)} \, dx\)
 3.140 \(\int \frac{\coth ^2(x)}{a+b \tanh (x)} \, dx\)
 3.141 \(\int \frac{\coth ^3(x)}{a+b \tanh (x)} \, dx\)
 3.142 \(\int \frac{\coth ^4(x)}{a+b \tanh (x)} \, dx\)
 3.143 \(\int \frac{x \text{sech}^2(x)}{(a+b \tanh (x))^2} \, dx\)
 3.144 \(\int \frac{x \text{sech}^2(c+d x)}{a+b \tanh ^2(c+d x)} \, dx\)
 3.145 \(\int \frac{x^2 \text{sech}^2(c+d x)}{a+b \tanh ^2(c+d x)} \, dx\)
 3.146 \(\int x^3 \tanh (a+2 \log (x)) \, dx\)
 3.147 \(\int x^2 \tanh (a+2 \log (x)) \, dx\)
 3.148 \(\int x \tanh (a+2 \log (x)) \, dx\)
 3.149 \(\int \tanh (a+2 \log (x)) \, dx\)
 3.150 \(\int \frac{\tanh (a+2 \log (x))}{x} \, dx\)
 3.151 \(\int \frac{\tanh (a+2 \log (x))}{x^2} \, dx\)
 3.152 \(\int \frac{\tanh (a+2 \log (x))}{x^3} \, dx\)
 3.153 \(\int x^3 \tanh ^2(a+2 \log (x)) \, dx\)
 3.154 \(\int x^2 \tanh ^2(a+2 \log (x)) \, dx\)
 3.155 \(\int x \tanh ^2(a+2 \log (x)) \, dx\)
 3.156 \(\int \tanh ^2(a+2 \log (x)) \, dx\)
 3.157 \(\int \frac{\tanh ^2(a+2 \log (x))}{x} \, dx\)
 3.158 \(\int \frac{\tanh ^2(a+2 \log (x))}{x^2} \, dx\)
 3.159 \(\int \frac{\tanh ^2(a+2 \log (x))}{x^3} \, dx\)
 3.160 \(\int (e x)^m \tanh (a+2 \log (x)) \, dx\)
 3.161 \(\int (e x)^m \tanh ^2(a+2 \log (x)) \, dx\)
 3.162 \(\int (e x)^m \tanh ^3(a+2 \log (x)) \, dx\)
 3.163 \(\int \tanh ^p(a+b \log (x)) \, dx\)
 3.164 \(\int (e x)^m \tanh ^p(a+b \log (x)) \, dx\)
 3.165 \(\int \tanh ^p(a+\frac{\log (x)}{2}) \, dx\)
 3.166 \(\int \tanh ^p(a+\frac{\log (x)}{4}) \, dx\)
 3.167 \(\int \tanh ^p(a+\frac{\log (x)}{6}) \, dx\)
 3.168 \(\int \tanh ^p(a+\frac{\log (x)}{8}) \, dx\)
 3.169 \(\int \tanh ^p(a+\log (x)) \, dx\)
 3.170 \(\int \tanh ^p(a+2 \log (x)) \, dx\)
 3.171 \(\int \tanh ^p(a+3 \log (x)) \, dx\)
 3.172 \(\int x^3 \tanh (d (a+b \log (c x^n))) \, dx\)
 3.173 \(\int x^2 \tanh (d (a+b \log (c x^n))) \, dx\)
 3.174 \(\int x \tanh (d (a+b \log (c x^n))) \, dx\)
 3.175 \(\int \tanh (d (a+b \log (c x^n))) \, dx\)
 3.176 \(\int \frac{\tanh (d (a+b \log (c x^n)))}{x} \, dx\)
 3.177 \(\int \frac{\tanh (d (a+b \log (c x^n)))}{x^2} \, dx\)
 3.178 \(\int \frac{\tanh (d (a+b \log (c x^n)))}{x^3} \, dx\)
 3.179 \(\int x^3 \tanh ^2(d (a+b \log (c x^n))) \, dx\)
 3.180 \(\int x^2 \tanh ^2(d (a+b \log (c x^n))) \, dx\)
 3.181 \(\int x \tanh ^2(d (a+b \log (c x^n))) \, dx\)
 3.182 \(\int \tanh ^2(d (a+b \log (c x^n))) \, dx\)
 3.183 \(\int \frac{\tanh ^2(d (a+b \log (c x^n)))}{x} \, dx\)
 3.184 \(\int \frac{\tanh ^2(d (a+b \log (c x^n)))}{x^2} \, dx\)
 3.185 \(\int \frac{\tanh ^2(d (a+b \log (c x^n)))}{x^3} \, dx\)
 3.186 \(\int \frac{\tanh ^3(a+b \log (c x^n))}{x} \, dx\)
 3.187 \(\int \frac{\tanh ^4(a+b \log (c x^n))}{x} \, dx\)
 3.188 \(\int \frac{\tanh ^5(a+b \log (c x^n))}{x} \, dx\)
 3.189 \(\int (e x)^m \tanh (d (a+b \log (c x^n))) \, dx\)
 3.190 \(\int (e x)^m \tanh ^2(d (a+b \log (c x^n))) \, dx\)
 3.191 \(\int (e x)^m \tanh ^3(d (a+b \log (c x^n))) \, dx\)
 3.192 \(\int \tanh ^p(d (a+b \log (c x^n))) \, dx\)
 3.193 \(\int (e x)^m \tanh ^p(d (a+b \log (c x^n))) \, dx\)
 3.194 \(\int \frac{\tanh ^{\frac{5}{2}}(a+b \log (c x^n))}{x} \, dx\)
 3.195 \(\int \frac{\tanh ^{\frac{3}{2}}(a+b \log (c x^n))}{x} \, dx\)
 3.196 \(\int \frac{\sqrt{\tanh (a+b \log (c x^n))}}{x} \, dx\)
 3.197 \(\int \frac{1}{x \sqrt{\tanh (a+b \log (c x^n))}} \, dx\)
 3.198 \(\int \frac{1}{x \tanh ^{\frac{3}{2}}(a+b \log (c x^n))} \, dx\)
 3.199 \(\int \frac{1}{x \tanh ^{\frac{5}{2}}(a+b \log (c x^n))} \, dx\)
 3.200 \(\int \frac{\tanh ^5(x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx\)
 3.201 \(\int \frac{\tanh ^3(x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx\)
 3.202 \(\int \frac{\tanh (x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx\)
 3.203 \(\int \frac{\coth (x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx\)
 3.204 \(\int \frac{\coth ^3(x)}{\sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)}} \, dx\)
 3.205 \(\int \tanh (x) \sqrt{a+b \tanh ^2(x)+c \tanh ^4(x)} \, dx\)
 3.206 \(\int e^{a+b x} \tanh ^4(a+b x) \, dx\)
 3.207 \(\int e^{a+b x} \tanh ^3(a+b x) \, dx\)
 3.208 \(\int e^{a+b x} \tanh ^2(a+b x) \, dx\)
 3.209 \(\int e^{a+b x} \tanh (a+b x) \, dx\)
 3.210 \(\int e^{a+b x} \coth (a+b x) \, dx\)
 3.211 \(\int e^{a+b x} \coth ^2(a+b x) \, dx\)
 3.212 \(\int e^{a+b x} \coth ^3(a+b x) \, dx\)
 3.213 \(\int e^{a+b x} \coth ^4(a+b x) \, dx\)
 3.214 \(\int e^x \tanh ^2(2 x) \, dx\)
 3.215 \(\int e^x \tanh (2 x) \, dx\)
 3.216 \(\int e^x \coth (2 x) \, dx\)
 3.217 \(\int e^x \coth ^2(2 x) \, dx\)
 3.218 \(\int e^x \tanh ^2(3 x) \, dx\)
 3.219 \(\int e^x \tanh (3 x) \, dx\)
 3.220 \(\int e^x \coth (3 x) \, dx\)
 3.221 \(\int e^x \coth ^2(3 x) \, dx\)
 3.222 \(\int e^x \tanh ^2(4 x) \, dx\)
 3.223 \(\int e^x \tanh (4 x) \, dx\)
 3.224 \(\int e^x \coth (4 x) \, dx\)
 3.225 \(\int e^x \coth ^2(4 x) \, dx\)
 3.226 \(\int \frac{e^x}{a-\tanh (2 x)} \, dx\)
 3.227 \(\int \frac{e^x}{(a-\tanh (2 x))^2} \, dx\)
 3.228 \(\int e^{c (a+b x)} \tanh ^3(d+e x) \, dx\)
 3.229 \(\int e^{c (a+b x)} \tanh ^2(d+e x) \, dx\)
 3.230 \(\int e^{c (a+b x)} \tanh (d+e x) \, dx\)
 3.231 \(\int e^{c (a+b x)} \coth (d+e x) \, dx\)
 3.232 \(\int e^{c (a+b x)} \coth ^2(d+e x) \, dx\)
 3.233 \(\int e^{c (a+b x)} \coth ^3(d+e x) \, dx\)
 3.234 \(\int e^{c (a+b x)} \tanh ^2(a c+b c x)^{5/2} \, dx\)
 3.235 \(\int e^{c (a+b x)} \tanh ^2(a c+b c x)^{3/2} \, dx\)
 3.236 \(\int e^{c (a+b x)} \sqrt{\tanh ^2(a c+b c x)} \, dx\)
 3.237 \(\int \frac{e^{c (a+b x)}}{\sqrt{\tanh ^2(a c+b c x)}} \, dx\)
 3.238 \(\int \frac{e^{c (a+b x)}}{\tanh ^2(a c+b c x)^{3/2}} \, dx\)
 3.239 \(\int \frac{e^{c (a+b x)}}{\tanh ^2(a c+b c x)^{5/2}} \, dx\)
 3.240 \(\int \sin ^3(\tanh (a+b x)) \, dx\)
 3.241 \(\int \sin ^2(\tanh (a+b x)) \, dx\)
 3.242 \(\int \sin (\tanh (a+b x)) \, dx\)
 3.243 \(\int \csc (\tanh (a+b x)) \, dx\)
 3.244 \(\int \cos ^3(\tanh (a+b x)) \, dx\)
 3.245 \(\int \cos ^2(\tanh (a+b x)) \, dx\)
 3.246 \(\int \cos (\tanh (a+b x)) \, dx\)
 3.247 \(\int \sec (\tanh (a+b x)) \, dx\)