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Chapter 3
Listing of integrals
3.1
\(\int \sinh (a+b x) \, dx\)
3.2
\(\int \sinh ^2(a+b x) \, dx\)
3.3
\(\int \sinh ^3(a+b x) \, dx\)
3.4
\(\int \sinh ^4(a+b x) \, dx\)
3.5
\(\int \sinh ^5(a+b x) \, dx\)
3.6
\(\int \sinh ^6(a+b x) \, dx\)
3.7
\(\int \sinh ^{\frac{7}{2}}(a+b x) \, dx\)
3.8
\(\int \sinh ^{\frac{5}{2}}(a+b x) \, dx\)
3.9
\(\int \sinh ^{\frac{3}{2}}(a+b x) \, dx\)
3.10
\(\int \sqrt{\sinh (a+b x)} \, dx\)
3.11
\(\int \frac{1}{\sqrt{\sinh (a+b x)}} \, dx\)
3.12
\(\int \frac{1}{\sinh ^{\frac{3}{2}}(a+b x)} \, dx\)
3.13
\(\int \frac{1}{\sinh ^{\frac{5}{2}}(a+b x)} \, dx\)
3.14
\(\int \frac{1}{\sinh ^{\frac{7}{2}}(a+b x)} \, dx\)
3.15
\(\int (b \sinh (c+d x))^{7/2} \, dx\)
3.16
\(\int (b \sinh (c+d x))^{5/2} \, dx\)
3.17
\(\int (b \sinh (c+d x))^{3/2} \, dx\)
3.18
\(\int \sqrt{b \sinh (c+d x)} \, dx\)
3.19
\(\int \frac{1}{\sqrt{b \sinh (c+d x)}} \, dx\)
3.20
\(\int \frac{1}{(b \sinh (c+d x))^{3/2}} \, dx\)
3.21
\(\int \frac{1}{(b \sinh (c+d x))^{5/2}} \, dx\)
3.22
\(\int \frac{1}{(b \sinh (c+d x))^{7/2}} \, dx\)
3.23
\(\int (i \sinh (c+d x))^{7/2} \, dx\)
3.24
\(\int (i \sinh (c+d x))^{5/2} \, dx\)
3.25
\(\int (i \sinh (c+d x))^{3/2} \, dx\)
3.26
\(\int \sqrt{i \sinh (c+d x)} \, dx\)
3.27
\(\int \frac{1}{\sqrt{i \sinh (c+d x)}} \, dx\)
3.28
\(\int \frac{1}{(i \sinh (c+d x))^{3/2}} \, dx\)
3.29
\(\int \frac{1}{(i \sinh (c+d x))^{5/2}} \, dx\)
3.30
\(\int \frac{1}{(i \sinh (c+d x))^{7/2}} \, dx\)
3.31
\(\int (b \sinh (c+d x))^{4/3} \, dx\)
3.32
\(\int (b \sinh (c+d x))^{2/3} \, dx\)
3.33
\(\int \sqrt [3]{b \sinh (c+d x)} \, dx\)
3.34
\(\int \frac{1}{\sqrt [3]{b \sinh (c+d x)}} \, dx\)
3.35
\(\int \frac{1}{(b \sinh (c+d x))^{2/3}} \, dx\)
3.36
\(\int \frac{1}{(b \sinh (c+d x))^{4/3}} \, dx\)
3.37
\(\int (b \sinh (c+d x))^n \, dx\)
3.38
\(\int (i \sinh (c+d x))^n \, dx\)
3.39
\(\int (-i \sinh (c+d x))^n \, dx\)
3.40
\(\int \frac{\sinh ^4(x)}{i+\sinh (x)} \, dx\)
3.41
\(\int \frac{\sinh ^3(x)}{i+\sinh (x)} \, dx\)
3.42
\(\int \frac{\sinh ^2(x)}{i+\sinh (x)} \, dx\)
3.43
\(\int \frac{\sinh (x)}{i+\sinh (x)} \, dx\)
3.44
\(\int \frac{\text{csch}(x)}{i+\sinh (x)} \, dx\)
3.45
\(\int \frac{\text{csch}^2(x)}{i+\sinh (x)} \, dx\)
3.46
\(\int \frac{\text{csch}^3(x)}{i+\sinh (x)} \, dx\)
3.47
\(\int \frac{\text{csch}^4(x)}{i+\sinh (x)} \, dx\)
3.48
\(\int \frac{\sinh ^4(x)}{(i+\sinh (x))^2} \, dx\)
3.49
\(\int \frac{\sinh ^3(x)}{(i+\sinh (x))^2} \, dx\)
3.50
\(\int \frac{\sinh ^2(x)}{(i+\sinh (x))^2} \, dx\)
3.51
\(\int \frac{\sinh (x)}{(i+\sinh (x))^2} \, dx\)
3.52
\(\int \frac{\text{csch}(x)}{(i+\sinh (x))^2} \, dx\)
3.53
\(\int \frac{\text{csch}^2(x)}{(i+\sinh (x))^2} \, dx\)
3.54
\(\int \frac{\text{csch}^3(x)}{(i+\sinh (x))^2} \, dx\)
3.55
\(\int \frac{\text{csch}^4(x)}{(i+\sinh (x))^2} \, dx\)
3.56
\(\int \frac{1}{1+i \sinh (c+d x)} \, dx\)
3.57
\(\int \frac{1}{(1+i \sinh (c+d x))^2} \, dx\)
3.58
\(\int \frac{1}{(1+i \sinh (c+d x))^3} \, dx\)
3.59
\(\int \frac{1}{(1+i \sinh (c+d x))^4} \, dx\)
3.60
\(\int \frac{1}{1-i \sinh (c+d x)} \, dx\)
3.61
\(\int \frac{1}{(1-i \sinh (c+d x))^2} \, dx\)
3.62
\(\int \frac{1}{(1-i \sinh (c+d x))^3} \, dx\)
3.63
\(\int \frac{1}{(1-i \sinh (c+d x))^4} \, dx\)
3.64
\(\int \frac{\sinh (x)}{\sqrt{a+i a \sinh (x)}} \, dx\)
3.65
\(\int \frac{\sinh (x)}{\sqrt{a-i a \sinh (x)}} \, dx\)
3.66
\(\int (a+i a \sinh (c+d x))^{5/2} \, dx\)
3.67
\(\int (a+i a \sinh (c+d x))^{3/2} \, dx\)
3.68
\(\int \sqrt{a+i a \sinh (c+d x)} \, dx\)
3.69
\(\int \frac{1}{\sqrt{a+i a \sinh (c+d x)}} \, dx\)
3.70
\(\int \frac{1}{(a+i a \sinh (c+d x))^{3/2}} \, dx\)
3.71
\(\int \frac{1}{(a+i a \sinh (c+d x))^{5/2}} \, dx\)
3.72
\(\int \frac{\sinh ^4(x)}{a+b \sinh (x)} \, dx\)
3.73
\(\int \frac{\sinh ^3(x)}{a+b \sinh (x)} \, dx\)
3.74
\(\int \frac{\sinh ^2(x)}{a+b \sinh (x)} \, dx\)
3.75
\(\int \frac{\sinh (x)}{a+b \sinh (x)} \, dx\)
3.76
\(\int \frac{\text{csch}(x)}{a+b \sinh (x)} \, dx\)
3.77
\(\int \frac{\text{csch}^2(x)}{a+b \sinh (x)} \, dx\)
3.78
\(\int \frac{\text{csch}^3(x)}{a+b \sinh (x)} \, dx\)
3.79
\(\int \frac{\text{csch}^4(x)}{a+b \sinh (x)} \, dx\)
3.80
\(\int \frac{\sinh ^4(x)}{(a+b \sinh (x))^2} \, dx\)
3.81
\(\int \frac{\sinh ^3(x)}{(a+b \sinh (x))^2} \, dx\)
3.82
\(\int \frac{\sinh ^2(x)}{(a+b \sinh (x))^2} \, dx\)
3.83
\(\int \frac{\sinh (x)}{(a+b \sinh (x))^2} \, dx\)
3.84
\(\int \frac{\text{csch}(x)}{(a+b \sinh (x))^2} \, dx\)
3.85
\(\int \frac{\text{csch}^2(x)}{(a+b \sinh (x))^2} \, dx\)
3.86
\(\int \frac{\text{csch}^3(x)}{(a+b \sinh (x))^2} \, dx\)
3.87
\(\int \frac{\text{csch}^4(x)}{(a+b \sinh (x))^2} \, dx\)
3.88
\(\int \frac{1}{3+5 i \sinh (c+d x)} \, dx\)
3.89
\(\int \frac{1}{(3+5 i \sinh (c+d x))^2} \, dx\)
3.90
\(\int \frac{1}{(3+5 i \sinh (c+d x))^3} \, dx\)
3.91
\(\int \frac{1}{(3+5 i \sinh (c+d x))^4} \, dx\)
3.92
\(\int \frac{1}{5+3 i \sinh (c+d x)} \, dx\)
3.93
\(\int \frac{1}{(5+3 i \sinh (c+d x))^2} \, dx\)
3.94
\(\int \frac{1}{(5+3 i \sinh (c+d x))^3} \, dx\)
3.95
\(\int \frac{1}{(5+3 i \sinh (c+d x))^4} \, dx\)
3.96
\(\int (a+b \sinh (c+d x))^5 \, dx\)
3.97
\(\int (a+b \sinh (c+d x))^4 \, dx\)
3.98
\(\int (a+b \sinh (c+d x))^3 \, dx\)
3.99
\(\int (a+b \sinh (c+d x))^2 \, dx\)
3.100
\(\int (a+b \sinh (c+d x)) \, dx\)
3.101
\(\int \frac{1}{a+b \sinh (c+d x)} \, dx\)
3.102
\(\int \frac{1}{(a+b \sinh (c+d x))^2} \, dx\)
3.103
\(\int \frac{1}{(a+b \sinh (c+d x))^3} \, dx\)
3.104
\(\int \frac{1}{(a+b \sinh (c+d x))^4} \, dx\)
3.105
\(\int (a+b \sinh (x))^{5/2} \, dx\)
3.106
\(\int (a+b \sinh (x))^{3/2} \, dx\)
3.107
\(\int \sqrt{a+b \sinh (x)} \, dx\)
3.108
\(\int \frac{1}{\sqrt{a+b \sinh (x)}} \, dx\)
3.109
\(\int \frac{1}{(a+b \sinh (x))^{3/2}} \, dx\)
3.110
\(\int \frac{1}{(a+b \sinh (x))^{5/2}} \, dx\)
3.111
\(\int \frac{\sinh (x)}{\sqrt{a+b \sinh (x)}} \, dx\)
3.112
\(\int (a+i a \sinh (x))^{5/2} (A+B \sinh (x)) \, dx\)
3.113
\(\int (a+i a \sinh (x))^{3/2} (A+B \sinh (x)) \, dx\)
3.114
\(\int \sqrt{a+i a \sinh (x)} (A+B \sinh (x)) \, dx\)
3.115
\(\int \frac{A+B \sinh (x)}{i+\sinh (x)} \, dx\)
3.116
\(\int \frac{A+B \sinh (x)}{(i+\sinh (x))^2} \, dx\)
3.117
\(\int \frac{A+B \sinh (x)}{(i+\sinh (x))^3} \, dx\)
3.118
\(\int \frac{A+B \sinh (x)}{(i+\sinh (x))^4} \, dx\)
3.119
\(\int \frac{A+B \sinh (x)}{i-\sinh (x)} \, dx\)
3.120
\(\int \frac{A+B \sinh (x)}{(i-\sinh (x))^2} \, dx\)
3.121
\(\int \frac{A+B \sinh (x)}{(i-\sinh (x))^3} \, dx\)
3.122
\(\int \frac{A+B \sinh (x)}{(i-\sinh (x))^4} \, dx\)
3.123
\(\int \frac{A+B \sinh (x)}{\sqrt{a+i a \sinh (x)}} \, dx\)
3.124
\(\int \frac{A+B \sinh (x)}{(a+i a \sinh (x))^{3/2}} \, dx\)
3.125
\(\int \frac{A+B \sinh (x)}{(a+i a \sinh (x))^{5/2}} \, dx\)
3.126
\(\int (a+b \sinh (x))^{5/2} (A+B \sinh (x)) \, dx\)
3.127
\(\int (a+b \sinh (x))^{3/2} (A+B \sinh (x)) \, dx\)
3.128
\(\int \sqrt{a+b \sinh (x)} (A+B \sinh (x)) \, dx\)
3.129
\(\int \frac{A+B \sinh (x)}{a+b \sinh (x)} \, dx\)
3.130
\(\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^2} \, dx\)
3.131
\(\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^3} \, dx\)
3.132
\(\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^4} \, dx\)
3.133
\(\int \frac{\frac{b B}{a}+B \sinh (x)}{a+b \sinh (x)} \, dx\)
3.134
\(\int \frac{\frac{a B}{b}+B \sinh (x)}{a+b \sinh (x)} \, dx\)
3.135
\(\int \frac{a-b \sinh (x)}{(b+a \sinh (x))^2} \, dx\)
3.136
\(\int \frac{2-\sinh (x)}{2+\sinh (x)} \, dx\)
3.137
\(\int \frac{A+B \sinh (x)}{\sqrt{a+b \sinh (x)}} \, dx\)
3.138
\(\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^{3/2}} \, dx\)
3.139
\(\int \frac{A+B \sinh (x)}{(a+b \sinh (x))^{5/2}} \, dx\)
3.140
\(\int (a \sinh ^2(x))^{5/2} \, dx\)
3.141
\(\int (a \sinh ^2(x))^{3/2} \, dx\)
3.142
\(\int \sqrt{a \sinh ^2(x)} \, dx\)
3.143
\(\int \frac{1}{\sqrt{a \sinh ^2(x)}} \, dx\)
3.144
\(\int \frac{1}{(a \sinh ^2(x))^{3/2}} \, dx\)
3.145
\(\int \frac{1}{(a \sinh ^2(x))^{5/2}} \, dx\)
3.146
\(\int (a \sinh ^3(x))^{5/2} \, dx\)
3.147
\(\int (a \sinh ^3(x))^{3/2} \, dx\)
3.148
\(\int \sqrt{a \sinh ^3(x)} \, dx\)
3.149
\(\int \frac{1}{\sqrt{a \sinh ^3(x)}} \, dx\)
3.150
\(\int \frac{1}{(a \sinh ^3(x))^{3/2}} \, dx\)
3.151
\(\int \frac{1}{(a \sinh ^3(x))^{5/2}} \, dx\)
3.152
\(\int (a \sinh ^4(x))^{5/2} \, dx\)
3.153
\(\int (a \sinh ^4(x))^{3/2} \, dx\)
3.154
\(\int \sqrt{a \sinh ^4(x)} \, dx\)
3.155
\(\int \frac{1}{\sqrt{a \sinh ^4(x)}} \, dx\)
3.156
\(\int \frac{1}{(a \sinh ^4(x))^{3/2}} \, dx\)
3.157
\(\int \frac{1}{(a \sinh ^4(x))^{5/2}} \, dx\)
3.158
\(\int \frac{\cosh ^8(x)}{i+\sinh (x)} \, dx\)
3.159
\(\int \frac{\cosh ^7(x)}{i+\sinh (x)} \, dx\)
3.160
\(\int \frac{\cosh ^6(x)}{i+\sinh (x)} \, dx\)
3.161
\(\int \frac{\cosh ^5(x)}{i+\sinh (x)} \, dx\)
3.162
\(\int \frac{\cosh ^4(x)}{i+\sinh (x)} \, dx\)
3.163
\(\int \frac{\cosh ^3(x)}{i+\sinh (x)} \, dx\)
3.164
\(\int \frac{\cosh ^2(x)}{i+\sinh (x)} \, dx\)
3.165
\(\int \frac{\cosh (x)}{i+\sinh (x)} \, dx\)
3.166
\(\int \frac{\text{sech}(x)}{i+\sinh (x)} \, dx\)
3.167
\(\int \frac{\text{sech}^2(x)}{i+\sinh (x)} \, dx\)
3.168
\(\int \frac{\text{sech}^3(x)}{i+\sinh (x)} \, dx\)
3.169
\(\int \frac{\text{sech}^4(x)}{i+\sinh (x)} \, dx\)
3.170
\(\int \frac{\text{sech}^5(x)}{i+\sinh (x)} \, dx\)
3.171
\(\int \frac{\cosh ^6(x)}{(i+\sinh (x))^2} \, dx\)
3.172
\(\int \frac{\cosh ^5(x)}{(i+\sinh (x))^2} \, dx\)
3.173
\(\int \frac{\cosh ^4(x)}{(i+\sinh (x))^2} \, dx\)
3.174
\(\int \frac{\cosh ^3(x)}{(i+\sinh (x))^2} \, dx\)
3.175
\(\int \frac{\cosh ^2(x)}{(i+\sinh (x))^2} \, dx\)
3.176
\(\int \frac{\cosh (x)}{(i+\sinh (x))^2} \, dx\)
3.177
\(\int \frac{\text{sech}(x)}{(i+\sinh (x))^2} \, dx\)
3.178
\(\int \frac{\text{sech}^2(x)}{(i+\sinh (x))^2} \, dx\)
3.179
\(\int \frac{\text{sech}^3(x)}{(i+\sinh (x))^2} \, dx\)
3.180
\(\int \frac{\text{sech}^4(x)}{(i+\sinh (x))^2} \, dx\)
3.181
\(\int \frac{\cosh ^3(x)}{(1+i \sinh (x))^3} \, dx\)
3.182
\(\int \frac{\cosh ^2(x)}{(1+i \sinh (x))^3} \, dx\)
3.183
\(\int \frac{\cosh (x)}{(1+i \sinh (x))^3} \, dx\)
3.184
\(\int \frac{\cosh ^3(x)}{(1-i \sinh (x))^3} \, dx\)
3.185
\(\int \frac{\cosh ^2(x)}{(1-i \sinh (x))^3} \, dx\)
3.186
\(\int \frac{\cosh (x)}{(1-i \sinh (x))^3} \, dx\)
3.187
\(\int \frac{\cosh ^7(x)}{a+b \sinh (x)} \, dx\)
3.188
\(\int \frac{\cosh ^6(x)}{a+b \sinh (x)} \, dx\)
3.189
\(\int \frac{\cosh ^5(x)}{a+b \sinh (x)} \, dx\)
3.190
\(\int \frac{\cosh ^4(x)}{a+b \sinh (x)} \, dx\)
3.191
\(\int \frac{\cosh ^3(x)}{a+b \sinh (x)} \, dx\)
3.192
\(\int \frac{\cosh ^2(x)}{a+b \sinh (x)} \, dx\)
3.193
\(\int \frac{\cosh (x)}{a+b \sinh (x)} \, dx\)
3.194
\(\int \frac{\text{sech}(x)}{a+b \sinh (x)} \, dx\)
3.195
\(\int \frac{\text{sech}^2(x)}{a+b \sinh (x)} \, dx\)
3.196
\(\int \frac{\text{sech}^3(x)}{a+b \sinh (x)} \, dx\)
3.197
\(\int \frac{\text{sech}^4(x)}{a+b \sinh (x)} \, dx\)
3.198
\(\int \frac{\text{sech}^5(x)}{a+b \sinh (x)} \, dx\)
3.199
\(\int \frac{\text{sech}^6(x)}{a+b \sinh (x)} \, dx\)
3.200
\(\int \frac{\cosh ^4(x)}{(a+b \sinh (x))^2} \, dx\)
3.201
\(\int \frac{\cosh ^3(x)}{(a+b \sinh (x))^2} \, dx\)
3.202
\(\int \frac{\cosh ^2(x)}{(a+b \sinh (x))^2} \, dx\)
3.203
\(\int \frac{\cosh (x)}{(a+b \sinh (x))^2} \, dx\)
3.204
\(\int \frac{\text{sech}(x)}{(a+b \sinh (x))^2} \, dx\)
3.205
\(\int \frac{\text{sech}^2(x)}{(a+b \sinh (x))^2} \, dx\)
3.206
\(\int \frac{\text{sech}^3(x)}{(a+b \sinh (x))^2} \, dx\)
3.207
\(\int \frac{\text{sech}^4(x)}{(a+b \sinh (x))^2} \, dx\)
3.208
\(\int \frac{\tanh ^4(x)}{i+\sinh (x)} \, dx\)
3.209
\(\int \frac{\tanh ^3(x)}{i+\sinh (x)} \, dx\)
3.210
\(\int \frac{\tanh ^2(x)}{i+\sinh (x)} \, dx\)
3.211
\(\int \frac{\tanh (x)}{i+\sinh (x)} \, dx\)
3.212
\(\int \frac{\coth (x)}{i+\sinh (x)} \, dx\)
3.213
\(\int \frac{\coth ^2(x)}{i+\sinh (x)} \, dx\)
3.214
\(\int \frac{\coth ^3(x)}{i+\sinh (x)} \, dx\)
3.215
\(\int \frac{\coth ^4(x)}{i+\sinh (x)} \, dx\)
3.216
\(\int \frac{\coth ^5(x)}{i+\sinh (x)} \, dx\)
3.217
\(\int \frac{\coth ^6(x)}{i+\sinh (x)} \, dx\)
3.218
\(\int \frac{\tanh ^4(x)}{(i+\sinh (x))^2} \, dx\)
3.219
\(\int \frac{\tanh ^3(x)}{(i+\sinh (x))^2} \, dx\)
3.220
\(\int \frac{\tanh ^2(x)}{(i+\sinh (x))^2} \, dx\)
3.221
\(\int \frac{\tanh (x)}{(i+\sinh (x))^2} \, dx\)
3.222
\(\int \frac{\coth (x)}{(i+\sinh (x))^2} \, dx\)
3.223
\(\int \frac{\coth ^2(x)}{(i+\sinh (x))^2} \, dx\)
3.224
\(\int \frac{\coth ^3(x)}{(i+\sinh (x))^2} \, dx\)
3.225
\(\int \frac{\coth ^4(x)}{(i+\sinh (x))^2} \, dx\)
3.226
\(\int \frac{\coth ^5(x)}{(i+\sinh (x))^2} \, dx\)
3.227
\(\int \frac{\coth ^6(x)}{(i+\sinh (x))^2} \, dx\)
3.228
\(\int \frac{\tanh ^4(x)}{a+b \sinh (x)} \, dx\)
3.229
\(\int \frac{\tanh ^3(x)}{a+b \sinh (x)} \, dx\)
3.230
\(\int \frac{\tanh ^2(x)}{a+b \sinh (x)} \, dx\)
3.231
\(\int \frac{\tanh (x)}{a+b \sinh (x)} \, dx\)
3.232
\(\int \frac{\coth (x)}{a+b \sinh (x)} \, dx\)
3.233
\(\int \frac{\coth ^2(x)}{a+b \sinh (x)} \, dx\)
3.234
\(\int \frac{\coth ^3(x)}{a+b \sinh (x)} \, dx\)
3.235
\(\int \frac{\coth ^4(x)}{a+b \sinh (x)} \, dx\)
3.236
\(\int \frac{\tanh ^4(x)}{(a+b \sinh (x))^2} \, dx\)
3.237
\(\int \frac{\tanh ^3(x)}{(a+b \sinh (x))^2} \, dx\)
3.238
\(\int \frac{\tanh ^2(x)}{(a+b \sinh (x))^2} \, dx\)
3.239
\(\int \frac{\tanh (x)}{(a+b \sinh (x))^2} \, dx\)
3.240
\(\int \frac{\coth (x)}{(a+b \sinh (x))^2} \, dx\)
3.241
\(\int \frac{\coth ^2(x)}{(a+b \sinh (x))^2} \, dx\)
3.242
\(\int \frac{\coth ^3(x)}{(a+b \sinh (x))^2} \, dx\)
3.243
\(\int \frac{\coth ^4(x)}{(a+b \sinh (x))^2} \, dx\)
3.244
\(\int \coth (x) \sqrt{a+b \sinh (x)} \, dx\)
3.245
\(\int \frac{\coth (x)}{\sqrt{a+b \sinh (x)}} \, dx\)
3.246
\(\int \frac{A+B \cosh (x)}{a+b \sinh (x)} \, dx\)
3.247
\(\int \frac{A+B \cosh (x)}{i+\sinh (x)} \, dx\)
3.248
\(\int \frac{A+B \cosh (x)}{i-\sinh (x)} \, dx\)
3.249
\(\int \frac{A+B \tanh (x)}{a+b \sinh (x)} \, dx\)
3.250
\(\int \frac{A+B \coth (x)}{a+b \sinh (x)} \, dx\)
3.251
\(\int \frac{A+B \text{sech}(x)}{a+b \sinh (x)} \, dx\)
3.252
\(\int \frac{A+B \text{csch}(x)}{a+b \sinh (x)} \, dx\)
3.253
\(\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{a+c \sinh (d+e x)} \, dx\)
3.254
\(\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^2} \, dx\)
3.255
\(\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^3} \, dx\)
3.256
\(\int \frac{A+B \cosh (d+e x)+C \sinh (d+e x)}{(a+c \sinh (d+e x))^4} \, dx\)
3.257
\(\int \frac{x^3}{a+b \sinh ^2(x)} \, dx\)
3.258
\(\int \frac{x^2}{a+b \sinh ^2(x)} \, dx\)
3.259
\(\int \frac{x}{a+b \sinh ^2(x)} \, dx\)
3.260
\(\int \frac{\cosh (a+b x) (-2+\sinh ^2(a+b x))}{x} \, dx\)
3.261
\(\int \frac{\sinh ^3(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
3.262
\(\int \frac{\sinh ^2(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
3.263
\(\int \frac{\sinh (\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
3.264
\(\int \frac{\text{csch}(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
3.265
\(\int \frac{\text{csch}^2(\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
3.266
\(\int \sinh (a+b \log (c x^n)) \, dx\)
3.267
\(\int \sinh ^2(a+b \log (c x^n)) \, dx\)
3.268
\(\int \sinh ^3(a+b \log (c x^n)) \, dx\)
3.269
\(\int \sinh ^4(a+b \log (c x^n)) \, dx\)
3.270
\(\int x^m \sinh (a+b \log (c x^n)) \, dx\)
3.271
\(\int x^m \sinh ^2(a+b \log (c x^n)) \, dx\)
3.272
\(\int x^m \sinh ^3(a+b \log (c x^n)) \, dx\)
3.273
\(\int x^m \sinh ^4(a+b \log (c x^n)) \, dx\)
3.274
\(\int \frac{\sinh (a+b \log (c x^n))}{x} \, dx\)
3.275
\(\int \frac{\sinh ^2(a+b \log (c x^n))}{x} \, dx\)
3.276
\(\int \frac{\sinh ^3(a+b \log (c x^n))}{x} \, dx\)
3.277
\(\int \frac{\sinh ^4(a+b \log (c x^n))}{x} \, dx\)
3.278
\(\int \frac{\sinh ^5(a+b \log (c x^n))}{x} \, dx\)
3.279
\(\int \frac{\sinh ^{\frac{5}{2}}(a+b \log (c x^n))}{x} \, dx\)
3.280
\(\int \frac{\sinh ^{\frac{3}{2}}(a+b \log (c x^n))}{x} \, dx\)
3.281
\(\int \frac{\sqrt{\sinh (a+b \log (c x^n))}}{x} \, dx\)
3.282
\(\int \frac{1}{x \sqrt{\sinh (a+b \log (c x^n))}} \, dx\)
3.283
\(\int \frac{1}{x \sinh ^{\frac{3}{2}}(a+b \log (c x^n))} \, dx\)
3.284
\(\int \frac{1}{x \sinh ^{\frac{5}{2}}(a+b \log (c x^n))} \, dx\)
3.285
\(\int \sinh ^{\frac{5}{2}}(a+\frac{2 \log (c x^n)}{n}) \, dx\)
3.286
\(\int \sqrt{\sinh (a+\frac{2 \log (c x^n)}{n})} \, dx\)
3.287
\(\int \frac{1}{\sinh ^{\frac{3}{2}}(a+\frac{2 \log (c x^n)}{n})} \, dx\)
3.288
\(\int \frac{1}{\sinh ^{\frac{7}{2}}(a+\frac{2 \log (c x^n)}{n})} \, dx\)
3.289
\(\int \sinh (\frac{a}{c+d x}) \, dx\)
3.290
\(\int \sinh ^2(\frac{a}{c+d x}) \, dx\)
3.291
\(\int \sinh ^3(\frac{a}{c+d x}) \, dx\)
3.292
\(\int \sinh (\frac{b x}{c+d x}) \, dx\)
3.293
\(\int \sinh ^2(\frac{b x}{c+d x}) \, dx\)
3.294
\(\int \sinh ^3(\frac{b x}{c+d x}) \, dx\)
3.295
\(\int \sinh (\frac{a+b x}{c+d x}) \, dx\)
3.296
\(\int \sinh ^2(\frac{a+b x}{c+d x}) \, dx\)
3.297
\(\int \sinh ^3(\frac{a+b x}{c+d x}) \, dx\)
3.298
\(\int \sinh (e+\frac{f (a+b x)}{c+d x}) \, dx\)
3.299
\(\int \sinh ^2(e+\frac{f (a+b x)}{c+d x}) \, dx\)
3.300
\(\int \sinh ^3(e+\frac{f (a+b x)}{c+d x}) \, dx\)
3.301
\(\int e^{a+b x} \sinh ^4(a+b x) \, dx\)
3.302
\(\int e^{a+b x} \sinh ^3(a+b x) \, dx\)
3.303
\(\int e^{a+b x} \sinh ^2(a+b x) \, dx\)
3.304
\(\int e^{a+b x} \sinh (a+b x) \, dx\)
3.305
\(\int e^{a+b x} \text{csch}(a+b x) \, dx\)
3.306
\(\int e^{a+b x} \text{csch}^2(a+b x) \, dx\)
3.307
\(\int e^{a+b x} \text{csch}^3(a+b x) \, dx\)
3.308
\(\int e^{a+b x} \text{csch}^4(a+b x) \, dx\)
3.309
\(\int e^{a+b x} \text{csch}^5(a+b x) \, dx\)
3.310
\(\int e^x \sinh ^2(2 x) \, dx\)
3.311
\(\int e^x \sinh (2 x) \, dx\)
3.312
\(\int e^x \text{csch}(2 x) \, dx\)
3.313
\(\int e^x \text{csch}^2(2 x) \, dx\)
3.314
\(\int e^x \sinh ^2(3 x) \, dx\)
3.315
\(\int e^x \sinh (3 x) \, dx\)
3.316
\(\int e^x \text{csch}(3 x) \, dx\)
3.317
\(\int e^x \text{csch}^2(3 x) \, dx\)
3.318
\(\int e^x \sinh ^2(4 x) \, dx\)
3.319
\(\int e^x \sinh (4 x) \, dx\)
3.320
\(\int e^x \text{csch}(4 x) \, dx\)
3.321
\(\int e^x \text{csch}^2(4 x) \, dx\)
3.322
\(\int F^{c (a+b x)} \sinh ^3(d+e x) \, dx\)
3.323
\(\int F^{c (a+b x)} \sinh ^2(d+e x) \, dx\)
3.324
\(\int F^{c (a+b x)} \sinh (d+e x) \, dx\)
3.325
\(\int F^{c (a+b x)} \text{csch}(d+e x) \, dx\)
3.326
\(\int F^{c (a+b x)} \text{csch}^2(d+e x) \, dx\)
3.327
\(\int F^{c (a+b x)} \text{csch}^3(d+e x) \, dx\)
3.328
\(\int F^{c (a+b x)} \text{csch}^4(d+e x) \, dx\)
3.329
\(\int e^{c (a+b x)} \sinh ^2(a c+b c x)^{5/2} \, dx\)
3.330
\(\int e^{c (a+b x)} \sinh ^2(a c+b c x)^{3/2} \, dx\)
3.331
\(\int e^{c (a+b x)} \sqrt{\sinh ^2(a c+b c x)} \, dx\)
3.332
\(\int \frac{e^{c (a+b x)}}{\sqrt{\sinh ^2(a c+b c x)}} \, dx\)
3.333
\(\int \frac{e^{c (a+b x)}}{\sinh ^2(a c+b c x)^{3/2}} \, dx\)
3.334
\(\int \frac{e^{c (a+b x)}}{\sinh ^2(a c+b c x)^{5/2}} \, dx\)
3.335
\(\int \frac{e^{c (a+b x)}}{\sinh ^2(a c+b c x)^{7/2}} \, dx\)
3.336
\(\int e^x \sinh (a+b x) \, dx\)
3.337
\(\int e^x \sinh (a+c x^2) \, dx\)
3.338
\(\int e^x \sinh (a+b x+c x^2) \, dx\)
3.339
\(\int e^{x^2} \sinh (a+b x) \, dx\)
3.340
\(\int e^{x^2} \sinh (a+c x^2) \, dx\)
3.341
\(\int e^{x^2} \sinh (a+b x+c x^2) \, dx\)
3.342
\(\int f^{a+b x} \sinh (d+f x^2) \, dx\)
3.343
\(\int f^{a+b x} \sinh ^2(d+f x^2) \, dx\)
3.344
\(\int f^{a+b x} \sinh ^3(d+f x^2) \, dx\)
3.345
\(\int f^{a+b x} \sinh (d+e x+f x^2) \, dx\)
3.346
\(\int f^{a+b x} \sinh ^2(d+e x+f x^2) \, dx\)
3.347
\(\int f^{a+b x} \sinh ^3(d+e x+f x^2) \, dx\)
3.348
\(\int f^{a+c x^2} \sinh (d+e x) \, dx\)
3.349
\(\int f^{a+c x^2} \sinh ^2(d+e x) \, dx\)
3.350
\(\int f^{a+c x^2} \sinh ^3(d+e x) \, dx\)
3.351
\(\int f^{a+c x^2} \sinh (d+f x^2) \, dx\)
3.352
\(\int f^{a+c x^2} \sinh ^2(d+f x^2) \, dx\)
3.353
\(\int f^{a+c x^2} \sinh ^3(d+f x^2) \, dx\)
3.354
\(\int f^{a+c x^2} \sinh (d+e x+f x^2) \, dx\)
3.355
\(\int f^{a+c x^2} \sinh ^2(d+e x+f x^2) \, dx\)
3.356
\(\int f^{a+c x^2} \sinh ^3(d+e x+f x^2) \, dx\)
3.357
\(\int f^{a+b x+c x^2} \sinh (d+e x) \, dx\)
3.358
\(\int f^{a+b x+c x^2} \sinh ^2(d+e x) \, dx\)
3.359
\(\int f^{a+b x+c x^2} \sinh ^3(d+e x) \, dx\)
3.360
\(\int f^{a+b x+c x^2} \sinh (d+f x^2) \, dx\)
3.361
\(\int f^{a+b x+c x^2} \sinh ^2(d+f x^2) \, dx\)
3.362
\(\int f^{a+b x+c x^2} \sinh ^3(d+f x^2) \, dx\)
3.363
\(\int f^{a+b x+c x^2} \sinh (d+e x+f x^2) \, dx\)
3.364
\(\int f^{a+b x+c x^2} \sinh ^2(d+e x+f x^2) \, dx\)
3.365
\(\int f^{a+b x+c x^2} \sinh ^3(d+e x+f x^2) \, dx\)
3.366
\(\int (x+\sinh (x))^2 \, dx\)
3.367
\(\int (x+\sinh (x))^3 \, dx\)
3.368
\(\int \frac{\sinh (a+b x)}{c+d x^2} \, dx\)
3.369
\(\int \frac{\sinh (a+b x)}{c+d x+e x^2} \, dx\)
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