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