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Chapter 3
Listing of integrals
3.1
\(\int \sin ^3(x) (a \cos (x)+b \sin (x)) \, dx\)
3.2
\(\int \sin ^2(x) (a \cos (x)+b \sin (x)) \, dx\)
3.3
\(\int \sin (x) (a \cos (x)+b \sin (x)) \, dx\)
3.4
\(\int (a \cos (x)+b \sin (x)) \, dx\)
3.5
\(\int \csc (x) (a \cos (x)+b \sin (x)) \, dx\)
3.6
\(\int \csc ^2(x) (a \cos (x)+b \sin (x)) \, dx\)
3.7
\(\int \csc ^3(x) (a \cos (x)+b \sin (x)) \, dx\)
3.8
\(\int \frac{\sin ^3(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.9
\(\int \frac{\sin ^2(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.10
\(\int \frac{\sin (x)}{a \cos (x)+b \sin (x)} \, dx\)
3.11
\(\int \frac{1}{a \cos (x)+b \sin (x)} \, dx\)
3.12
\(\int \frac{\csc (x)}{a \cos (x)+b \sin (x)} \, dx\)
3.13
\(\int \frac{\csc ^2(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.14
\(\int \frac{\csc ^3(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.15
\(\int \frac{\sin ^3(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.16
\(\int \frac{\sin ^2(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.17
\(\int \frac{\sin (x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.18
\(\int \frac{1}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.19
\(\int \frac{\csc (x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.20
\(\int \frac{\csc ^2(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.21
\(\int \frac{\csc ^3(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.22
\(\int \frac{\sin ^3(x)}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.23
\(\int \frac{\sin ^2(x)}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.24
\(\int \frac{\sin (x)}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.25
\(\int \frac{1}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.26
\(\int \frac{\csc (x)}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.27
\(\int \frac{\csc ^2(x)}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.28
\(\int \frac{\csc ^3(x)}{(a \cos (x)+b \sin (x))^3} \, dx\)
3.29
\(\int \sin ^{-n}(c+d x) (a \cos (c+d x)+i a \sin (c+d x))^n \, dx\)
3.30
\(\int \cos ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.31
\(\int \cos ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.32
\(\int \cos ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.33
\(\int \cos ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.34
\(\int \cos (c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.35
\(\int (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.36
\(\int \sec (c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.37
\(\int \sec ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.38
\(\int \sec ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.39
\(\int \sec ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.40
\(\int \sec ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.41
\(\int \sec ^6(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.42
\(\int \sec ^7(c+d x) (a \cos (c+d x)+b \sin (c+d x)) \, dx\)
3.43
\(\int \cos ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.44
\(\int \cos ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.45
\(\int \cos ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.46
\(\int \cos ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.47
\(\int \cos (c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.48
\(\int (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.49
\(\int \sec (c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.50
\(\int \sec ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.51
\(\int \sec ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.52
\(\int \sec ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.53
\(\int \sec ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.54
\(\int \sec ^6(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.55
\(\int \sec ^7(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.56
\(\int \sec ^8(c+d x) (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\)
3.57
\(\int \cos ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.58
\(\int \cos ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.59
\(\int \cos ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.60
\(\int \cos ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.61
\(\int \cos (c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.62
\(\int (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.63
\(\int \sec (c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.64
\(\int \sec ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.65
\(\int \sec ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.66
\(\int \sec ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.67
\(\int \sec ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.68
\(\int \sec ^6(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.69
\(\int \sec ^7(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.70
\(\int \sec ^8(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.71
\(\int \sec ^9(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.72
\(\int \sec ^{10}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.73
\(\int \sec ^{11}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\)
3.74
\(\int \cos ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.75
\(\int \cos ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.76
\(\int \cos ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.77
\(\int \cos ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.78
\(\int \cos (c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.79
\(\int (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.80
\(\int \sec (c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.81
\(\int \sec ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.82
\(\int \sec ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.83
\(\int \sec ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.84
\(\int \sec ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.85
\(\int \sec ^6(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.86
\(\int \sec ^7(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.87
\(\int \sec ^8(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.88
\(\int \sec ^9(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.89
\(\int \sec ^{10}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.90
\(\int \sec ^{11}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.91
\(\int \sec ^{12}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\)
3.92
\(\int \cos ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.93
\(\int \cos ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.94
\(\int \cos ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.95
\(\int \cos ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.96
\(\int \cos (c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.97
\(\int (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.98
\(\int \sec (c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.99
\(\int \sec ^2(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.100
\(\int \sec ^3(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.101
\(\int \sec ^4(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.102
\(\int \sec ^5(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.103
\(\int \sec ^6(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.104
\(\int \sec ^7(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.105
\(\int \sec ^8(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.106
\(\int \sec ^9(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.107
\(\int \sec ^{10}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.108
\(\int \sec ^{11}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.109
\(\int \sec ^{12}(c+d x) (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\)
3.110
\(\int \frac{\cos ^5(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.111
\(\int \frac{\cos ^4(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.112
\(\int \frac{\cos ^3(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.113
\(\int \frac{\cos ^2(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.114
\(\int \frac{\cos (c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.115
\(\int \frac{1}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.116
\(\int \frac{\sec (c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.117
\(\int \frac{\sec ^2(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.118
\(\int \frac{\sec ^3(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.119
\(\int \frac{\sec ^4(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.120
\(\int \frac{\sec ^5(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.121
\(\int \frac{\sec ^6(c+d x)}{a \cos (c+d x)+b \sin (c+d x)} \, dx\)
3.122
\(\int \frac{\cos ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.123
\(\int \frac{\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.124
\(\int \frac{\cos ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.125
\(\int \frac{\cos (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.126
\(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.127
\(\int \frac{\sec (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.128
\(\int \frac{\sec ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.129
\(\int \frac{\sec ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.130
\(\int \frac{\sec ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\)
3.131
\(\int \frac{\cos ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.132
\(\int \frac{\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.133
\(\int \frac{\cos ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.134
\(\int \frac{\cos (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.135
\(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.136
\(\int \frac{\sec (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.137
\(\int \frac{\sec ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.138
\(\int \frac{\sec ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.139
\(\int \frac{\sec ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.140
\(\int \frac{\sec ^5(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\)
3.141
\(\int \frac{\cos ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.142
\(\int \frac{\cos ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.143
\(\int \frac{\cos ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.144
\(\int \frac{\cos (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.145
\(\int \frac{1}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.146
\(\int \frac{\sec (c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.147
\(\int \frac{\sec ^2(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.148
\(\int \frac{\sec ^3(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.149
\(\int \frac{\sec ^4(c+d x)}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\)
3.150
\(\int \frac{\cos ^5(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.151
\(\int \frac{\cos ^4(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.152
\(\int \frac{\cos ^3(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.153
\(\int \frac{\cos ^2(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.154
\(\int \frac{\cos (c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.155
\(\int \frac{1}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.156
\(\int \frac{\sec (c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.157
\(\int \frac{\sec ^2(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.158
\(\int \frac{\sec ^3(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.159
\(\int \frac{\sec ^4(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.160
\(\int \frac{\sec ^5(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.161
\(\int \frac{\sec ^6(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.162
\(\int \frac{\sec ^7(c+d x)}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\)
3.163
\(\int \frac{\cos ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.164
\(\int \frac{\cos ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.165
\(\int \frac{\cos ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.166
\(\int \frac{\cos ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.167
\(\int \frac{\cos (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.168
\(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.169
\(\int \frac{\sec (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.170
\(\int \frac{\sec ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.171
\(\int \frac{\sec ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.172
\(\int \frac{\sec ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.173
\(\int \frac{\sec ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.174
\(\int \frac{\sec ^6(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\)
3.175
\(\int \frac{\cos ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.176
\(\int \frac{\cos ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.177
\(\int \frac{\cos ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.178
\(\int \frac{\cos ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.179
\(\int \frac{\cos (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.180
\(\int \frac{1}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.181
\(\int \frac{\sec (c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.182
\(\int \frac{\sec ^2(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.183
\(\int \frac{\sec ^3(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.184
\(\int \frac{\sec ^4(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.185
\(\int \frac{\sec ^5(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.186
\(\int \frac{\sec ^6(c+d x)}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\)
3.187
\(\int \cos ^{-n}(c+d x) (a \cos (c+d x)+i a \sin (c+d x))^n \, dx\)
3.188
\(\int \frac{1}{\sec (x)+\tan (x)} \, dx\)
3.189
\(\int \frac{\sin (x)}{\sec (x)+\tan (x)} \, dx\)
3.190
\(\int \frac{\cos (x)}{\sec (x)+\tan (x)} \, dx\)
3.191
\(\int \frac{\tan (x)}{\sec (x)+\tan (x)} \, dx\)
3.192
\(\int \frac{\cot (x)}{\sec (x)+\tan (x)} \, dx\)
3.193
\(\int \frac{\sec (x)}{\sec (x)+\tan (x)} \, dx\)
3.194
\(\int \frac{\csc (x)}{\sec (x)+\tan (x)} \, dx\)
3.195
\(\int \frac{1}{\sec (x)-\tan (x)} \, dx\)
3.196
\(\int \frac{\sin (x)}{\sec (x)-\tan (x)} \, dx\)
3.197
\(\int \frac{\cos (x)}{\sec (x)-\tan (x)} \, dx\)
3.198
\(\int \frac{\tan (x)}{\sec (x)-\tan (x)} \, dx\)
3.199
\(\int \frac{\cot (x)}{\sec (x)-\tan (x)} \, dx\)
3.200
\(\int \frac{\sec (x)}{\sec (x)-\tan (x)} \, dx\)
3.201
\(\int \frac{\csc (x)}{\sec (x)-\tan (x)} \, dx\)
3.202
\(\int \csc (c+d x) (\cot (c+d x)+\csc (c+d x)) \, dx\)
3.203
\(\int \frac{\sin (x)}{\cot (x)+\csc (x)} \, dx\)
3.204
\(\int \frac{\cos (x)}{\cot (x)+\csc (x)} \, dx\)
3.205
\(\int \frac{\tan (x)}{\cot (x)+\csc (x)} \, dx\)
3.206
\(\int \frac{\cot (x)}{\cot (x)+\csc (x)} \, dx\)
3.207
\(\int \frac{\sec (x)}{\cot (x)+\csc (x)} \, dx\)
3.208
\(\int \frac{\csc (x)}{\cot (x)+\csc (x)} \, dx\)
3.209
\(\int \frac{\sin (x)}{-\cot (x)+\csc (x)} \, dx\)
3.210
\(\int \frac{\cos (x)}{-\cot (x)+\csc (x)} \, dx\)
3.211
\(\int \frac{\tan (x)}{-\cot (x)+\csc (x)} \, dx\)
3.212
\(\int \frac{\cot (x)}{-\cot (x)+\csc (x)} \, dx\)
3.213
\(\int \frac{\sec (x)}{-\cot (x)+\csc (x)} \, dx\)
3.214
\(\int \frac{\csc (x)}{-\cot (x)+\csc (x)} \, dx\)
3.215
\(\int \frac{1}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.216
\(\int \frac{\sin (c+d x)}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.217
\(\int \frac{\cos (c+d x)}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.218
\(\int \frac{\tan (c+d x)}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.219
\(\int \frac{\cot (c+d x)}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.220
\(\int \frac{\sec (c+d x)}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.221
\(\int \frac{\csc (c+d x)}{\csc (c+d x)+\sin (c+d x)} \, dx\)
3.222
\(\int \frac{1}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.223
\(\int \frac{\sin (c+d x)}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.224
\(\int \frac{\cos (c+d x)}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.225
\(\int \frac{\tan (c+d x)}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.226
\(\int \frac{\cot (c+d x)}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.227
\(\int \frac{\sec (c+d x)}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.228
\(\int \frac{\csc (c+d x)}{\csc (c+d x)-\sin (c+d x)} \, dx\)
3.229
\(\int \cos ^3(c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.230
\(\int \cos ^2(c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.231
\(\int \cos (c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.232
\(\int (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.233
\(\int \sec (c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.234
\(\int \sec ^2(c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.235
\(\int \sec ^3(c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.236
\(\int \cos ^3(c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.237
\(\int \cos ^2(c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.238
\(\int \cos (c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.239
\(\int (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.240
\(\int \sec (c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.241
\(\int \sec ^2(c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.242
\(\int \sec ^3(c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.243
\(\int \cos ^3(c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.244
\(\int \cos ^2(c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.245
\(\int \cos (c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.246
\(\int (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.247
\(\int \sec (c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.248
\(\int \sec ^2(c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.249
\(\int \sec ^3(c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.250
\(\int \frac{\cos ^3(c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.251
\(\int \frac{\cos ^2(c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.252
\(\int \frac{\cos (c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.253
\(\int \frac{1}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.254
\(\int \frac{\sec (c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.255
\(\int \frac{\sec ^2(c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.256
\(\int \frac{\sec ^3(c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.257
\(\int \frac{\cos ^3(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.258
\(\int \frac{\cos ^2(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.259
\(\int \frac{\cos (c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.260
\(\int \frac{1}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.261
\(\int \frac{\sec (c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.262
\(\int \frac{\sec ^2(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.263
\(\int \frac{\sec ^3(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^2} \, dx\)
3.264
\(\int \frac{\cos ^3(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.265
\(\int \frac{\cos ^2(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.266
\(\int \frac{\cos (c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.267
\(\int \frac{1}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.268
\(\int \frac{\sec (c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.269
\(\int \frac{\sec ^2(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.270
\(\int \frac{\sec ^3(c+d x)}{(a \sin (c+d x)+b \tan (c+d x))^3} \, dx\)
3.271
\(\int \cos ^m(c+d x) (a \sin (c+d x)+b \tan (c+d x))^3 \, dx\)
3.272
\(\int \cos ^m(c+d x) (a \sin (c+d x)+b \tan (c+d x))^2 \, dx\)
3.273
\(\int \cos ^m(c+d x) (a \sin (c+d x)+b \tan (c+d x)) \, dx\)
3.274
\(\int \frac{\cos ^m(c+d x)}{a \sin (c+d x)+b \tan (c+d x)} \, dx\)
3.275
\(\int \frac{\cos (x) \sin (x)}{a \cos (x)+b \sin (x)} \, dx\)
3.276
\(\int \frac{\cos (x) \sin ^2(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.277
\(\int \frac{\cos (x) \sin ^3(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.278
\(\int \frac{\cos ^2(x) \sin (x)}{a \cos (x)+b \sin (x)} \, dx\)
3.279
\(\int \frac{\cos ^2(x) \sin ^2(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.280
\(\int \frac{\cos ^2(x) \sin ^3(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.281
\(\int \frac{\cos ^3(x) \sin (x)}{a \cos (x)+b \sin (x)} \, dx\)
3.282
\(\int \frac{\cos ^3(x) \sin ^2(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.283
\(\int \frac{\cos ^3(x) \sin ^3(x)}{a \cos (x)+b \sin (x)} \, dx\)
3.284
\(\int \frac{\cos (x) \sin (x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.285
\(\int \frac{\cos (x) \sin ^2(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.286
\(\int \frac{\cos (x) \sin ^3(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.287
\(\int \frac{\cos ^2(x) \sin (x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.288
\(\int \frac{\cos ^2(x) \sin ^2(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.289
\(\int \frac{\cos ^2(x) \sin ^3(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.290
\(\int \frac{\cos ^3(x) \sin (x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.291
\(\int \frac{\cos ^3(x) \sin ^2(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.292
\(\int \frac{\cos ^3(x) \sin ^3(x)}{(a \cos (x)+b \sin (x))^2} \, dx\)
3.293
\(\int \frac{\tan (x)}{b \cos (x)+a \sin (x)} \, dx\)
3.294
\(\int \frac{\cot (x)}{b \cos (x)+a \sin (x)} \, dx\)
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