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