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Chapter 3
Listing of integrals
3.1
\(\int \cos ^5(c+d x) (a+a \cos (c+d x)) \, dx\)
3.2
\(\int \cos ^4(c+d x) (a+a \cos (c+d x)) \, dx\)
3.3
\(\int \cos ^3(c+d x) (a+a \cos (c+d x)) \, dx\)
3.4
\(\int \cos ^2(c+d x) (a+a \cos (c+d x)) \, dx\)
3.5
\(\int \cos (c+d x) (a+a \cos (c+d x)) \, dx\)
3.6
\(\int (a+a \cos (c+d x)) \, dx\)
3.7
\(\int (a+a \cos (c+d x)) \sec (c+d x) \, dx\)
3.8
\(\int (a+a \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.9
\(\int (a+a \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.10
\(\int (a+a \cos (c+d x)) \sec ^4(c+d x) \, dx\)
3.11
\(\int (a+a \cos (c+d x)) \sec ^5(c+d x) \, dx\)
3.12
\(\int (a+a \cos (c+d x)) \sec ^6(c+d x) \, dx\)
3.13
\(\int \cos ^4(c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.14
\(\int \cos ^3(c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.15
\(\int \cos ^2(c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.16
\(\int \cos (c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.17
\(\int (a+a \cos (c+d x))^2 \, dx\)
3.18
\(\int (a+a \cos (c+d x))^2 \sec (c+d x) \, dx\)
3.19
\(\int (a+a \cos (c+d x))^2 \sec ^2(c+d x) \, dx\)
3.20
\(\int (a+a \cos (c+d x))^2 \sec ^3(c+d x) \, dx\)
3.21
\(\int (a+a \cos (c+d x))^2 \sec ^4(c+d x) \, dx\)
3.22
\(\int (a+a \cos (c+d x))^2 \sec ^5(c+d x) \, dx\)
3.23
\(\int \cos ^3(c+d x) (a+a \cos (c+d x))^3 \, dx\)
3.24
\(\int \cos ^2(c+d x) (a+a \cos (c+d x))^3 \, dx\)
3.25
\(\int \cos (c+d x) (a+a \cos (c+d x))^3 \, dx\)
3.26
\(\int (a+a \cos (c+d x))^3 \, dx\)
3.27
\(\int (a+a \cos (c+d x))^3 \sec (c+d x) \, dx\)
3.28
\(\int (a+a \cos (c+d x))^3 \sec ^2(c+d x) \, dx\)
3.29
\(\int (a+a \cos (c+d x))^3 \sec ^3(c+d x) \, dx\)
3.30
\(\int (a+a \cos (c+d x))^3 \sec ^4(c+d x) \, dx\)
3.31
\(\int (a+a \cos (c+d x))^3 \sec ^5(c+d x) \, dx\)
3.32
\(\int (a+a \cos (c+d x))^3 \sec ^6(c+d x) \, dx\)
3.33
\(\int \cos ^2(c+d x) (a+a \cos (c+d x))^4 \, dx\)
3.34
\(\int \cos (c+d x) (a+a \cos (c+d x))^4 \, dx\)
3.35
\(\int (a+a \cos (c+d x))^4 \, dx\)
3.36
\(\int (a+a \cos (c+d x))^4 \sec (c+d x) \, dx\)
3.37
\(\int (a+a \cos (c+d x))^4 \sec ^2(c+d x) \, dx\)
3.38
\(\int (a+a \cos (c+d x))^4 \sec ^3(c+d x) \, dx\)
3.39
\(\int (a+a \cos (c+d x))^4 \sec ^4(c+d x) \, dx\)
3.40
\(\int (a+a \cos (c+d x))^4 \sec ^5(c+d x) \, dx\)
3.41
\(\int (a+a \cos (c+d x))^4 \sec ^6(c+d x) \, dx\)
3.42
\(\int (a+a \cos (c+d x))^4 \sec ^7(c+d x) \, dx\)
3.43
\(\int \frac{\cos ^5(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.44
\(\int \frac{\cos ^4(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.45
\(\int \frac{\cos ^3(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.46
\(\int \frac{\cos ^2(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.47
\(\int \frac{\cos (c+d x)}{a+a \cos (c+d x)} \, dx\)
3.48
\(\int \frac{1}{a+a \cos (c+d x)} \, dx\)
3.49
\(\int \frac{\sec (c+d x)}{a+a \cos (c+d x)} \, dx\)
3.50
\(\int \frac{\sec ^2(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.51
\(\int \frac{\sec ^3(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.52
\(\int \frac{\sec ^4(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.53
\(\int \frac{\cos ^5(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.54
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.55
\(\int \frac{\cos ^3(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.56
\(\int \frac{\cos ^2(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.57
\(\int \frac{\cos (c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.58
\(\int \frac{1}{(a+a \cos (c+d x))^2} \, dx\)
3.59
\(\int \frac{\sec (c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.60
\(\int \frac{\sec ^2(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.61
\(\int \frac{\sec ^3(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.62
\(\int \frac{\sec ^4(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.63
\(\int \frac{\cos ^5(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.64
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.65
\(\int \frac{\cos ^3(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.66
\(\int \frac{\cos ^2(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.67
\(\int \frac{\cos (c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.68
\(\int \frac{1}{(a+a \cos (c+d x))^3} \, dx\)
3.69
\(\int \frac{\sec (c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.70
\(\int \frac{\sec ^2(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.71
\(\int \frac{\sec ^3(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.72
\(\int \frac{\cos ^6(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.73
\(\int \frac{\cos ^5(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.74
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.75
\(\int \frac{\cos ^3(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.76
\(\int \frac{\cos ^2(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.77
\(\int \frac{\cos (c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.78
\(\int \frac{1}{(a+a \cos (c+d x))^4} \, dx\)
3.79
\(\int \frac{\sec (c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.80
\(\int \frac{\sec ^2(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.81
\(\int \frac{\sec ^3(c+d x)}{(a+a \cos (c+d x))^4} \, dx\)
3.82
\(\int \frac{\cos ^7(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.83
\(\int \frac{\cos ^6(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.84
\(\int \frac{\cos ^5(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.85
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.86
\(\int \frac{\cos ^3(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.87
\(\int \frac{\cos ^2(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.88
\(\int \frac{\cos (c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.89
\(\int \frac{1}{(a+a \cos (c+d x))^5} \, dx\)
3.90
\(\int \frac{\sec (c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.91
\(\int \frac{\sec ^2(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.92
\(\int \frac{\sec ^3(c+d x)}{(a+a \cos (c+d x))^5} \, dx\)
3.93
\(\int \frac{\cos ^5(c+d x)}{(a+a \cos (c+d x))^6} \, dx\)
3.94
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^6} \, dx\)
3.95
\(\int \cos ^4(c+d x) \sqrt{a+a \cos (c+d x)} \, dx\)
3.96
\(\int \cos ^3(c+d x) \sqrt{a+a \cos (c+d x)} \, dx\)
3.97
\(\int \cos ^2(c+d x) \sqrt{a+a \cos (c+d x)} \, dx\)
3.98
\(\int \cos (c+d x) \sqrt{a+a \cos (c+d x)} \, dx\)
3.99
\(\int \sqrt{a+a \cos (c+d x)} \, dx\)
3.100
\(\int \sqrt{a+a \cos (c+d x)} \sec (c+d x) \, dx\)
3.101
\(\int \sqrt{a+a \cos (c+d x)} \sec ^2(c+d x) \, dx\)
3.102
\(\int \sqrt{a+a \cos (c+d x)} \sec ^3(c+d x) \, dx\)
3.103
\(\int \sqrt{a+a \cos (c+d x)} \sec ^4(c+d x) \, dx\)
3.104
\(\int \cos ^3(c+d x) (a+a \cos (c+d x))^{3/2} \, dx\)
3.105
\(\int \cos ^2(c+d x) (a+a \cos (c+d x))^{3/2} \, dx\)
3.106
\(\int \cos (c+d x) (a+a \cos (c+d x))^{3/2} \, dx\)
3.107
\(\int (a+a \cos (c+d x))^{3/2} \, dx\)
3.108
\(\int (a+a \cos (c+d x))^{3/2} \sec (c+d x) \, dx\)
3.109
\(\int (a+a \cos (c+d x))^{3/2} \sec ^2(c+d x) \, dx\)
3.110
\(\int (a+a \cos (c+d x))^{3/2} \sec ^3(c+d x) \, dx\)
3.111
\(\int (a+a \cos (c+d x))^{3/2} \sec ^4(c+d x) \, dx\)
3.112
\(\int \cos ^3(c+d x) (a+a \cos (c+d x))^{5/2} \, dx\)
3.113
\(\int \cos ^2(c+d x) (a+a \cos (c+d x))^{5/2} \, dx\)
3.114
\(\int \cos (c+d x) (a+a \cos (c+d x))^{5/2} \, dx\)
3.115
\(\int (a+a \cos (c+d x))^{5/2} \, dx\)
3.116
\(\int (a+a \cos (c+d x))^{5/2} \sec (c+d x) \, dx\)
3.117
\(\int (a+a \cos (c+d x))^{5/2} \sec ^2(c+d x) \, dx\)
3.118
\(\int (a+a \cos (c+d x))^{5/2} \sec ^3(c+d x) \, dx\)
3.119
\(\int (a+a \cos (c+d x))^{5/2} \sec ^4(c+d x) \, dx\)
3.120
\(\int (a+a \cos (c+d x))^{5/2} \sec ^5(c+d x) \, dx\)
3.121
\(\int (a+a \cos (c+d x))^{7/2} \, dx\)
3.122
\(\int \frac{\cos ^4(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.123
\(\int \frac{\cos ^3(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.124
\(\int \frac{\cos ^2(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.125
\(\int \frac{\cos (c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.126
\(\int \frac{1}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.127
\(\int \frac{\sec (c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.128
\(\int \frac{\sec ^2(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.129
\(\int \frac{\sec ^3(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.130
\(\int \frac{\sec ^4(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.131
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.132
\(\int \frac{\cos ^3(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.133
\(\int \frac{\cos ^2(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.134
\(\int \frac{\cos (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.135
\(\int \frac{1}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.136
\(\int \frac{\sec (c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.137
\(\int \frac{\sec ^2(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.138
\(\int \frac{\sec ^3(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.139
\(\int \frac{\cos ^4(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.140
\(\int \frac{\cos ^3(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.141
\(\int \frac{\cos ^2(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.142
\(\int \frac{\cos (c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.143
\(\int \frac{1}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.144
\(\int \frac{\sec (c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.145
\(\int \frac{\sec ^2(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.146
\(\int \cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x)) \, dx\)
3.147
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x)) \, dx\)
3.148
\(\int \sqrt{\cos (c+d x)} (a+a \cos (c+d x)) \, dx\)
3.149
\(\int \frac{a+a \cos (c+d x)}{\sqrt{\cos (c+d x)}} \, dx\)
3.150
\(\int \frac{a+a \cos (c+d x)}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.151
\(\int \frac{a+a \cos (c+d x)}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.152
\(\int \frac{a+a \cos (c+d x)}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.153
\(\int \cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.154
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.155
\(\int \sqrt{\cos (c+d x)} (a+a \cos (c+d x))^2 \, dx\)
3.156
\(\int \frac{(a+a \cos (c+d x))^2}{\sqrt{\cos (c+d x)}} \, dx\)
3.157
\(\int \frac{(a+a \cos (c+d x))^2}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.158
\(\int \frac{(a+a \cos (c+d x))^2}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.159
\(\int \frac{(a+a \cos (c+d x))^2}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.160
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^3 \, dx\)
3.161
\(\int \sqrt{\cos (c+d x)} (a+a \cos (c+d x))^3 \, dx\)
3.162
\(\int \frac{(a+a \cos (c+d x))^3}{\sqrt{\cos (c+d x)}} \, dx\)
3.163
\(\int \frac{(a+a \cos (c+d x))^3}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.164
\(\int \frac{(a+a \cos (c+d x))^3}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.165
\(\int \frac{(a+a \cos (c+d x))^3}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.166
\(\int \frac{(a+a \cos (c+d x))^3}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.167
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^4 \, dx\)
3.168
\(\int \sqrt{\cos (c+d x)} (a+a \cos (c+d x))^4 \, dx\)
3.169
\(\int \frac{(a+a \cos (c+d x))^4}{\sqrt{\cos (c+d x)}} \, dx\)
3.170
\(\int \frac{(a+a \cos (c+d x))^4}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.171
\(\int \frac{(a+a \cos (c+d x))^4}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.172
\(\int \frac{(a+a \cos (c+d x))^4}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.173
\(\int \frac{(a+a \cos (c+d x))^4}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.174
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.175
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.176
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.177
\(\int \frac{\sqrt{\cos (c+d x)}}{a+a \cos (c+d x)} \, dx\)
3.178
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+a \cos (c+d x))} \, dx\)
3.179
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))} \, dx\)
3.180
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))} \, dx\)
3.181
\(\int \frac{\cos ^{\frac{9}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.182
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.183
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.184
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.185
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+a \cos (c+d x))^2} \, dx\)
3.186
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+a \cos (c+d x))^2} \, dx\)
3.187
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^2} \, dx\)
3.188
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))^2} \, dx\)
3.189
\(\int \frac{\cos ^{\frac{11}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.190
\(\int \frac{\cos ^{\frac{9}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.191
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.192
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.193
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.194
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+a \cos (c+d x))^3} \, dx\)
3.195
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+a \cos (c+d x))^3} \, dx\)
3.196
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^3} \, dx\)
3.197
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))^3} \, dx\)
3.198
\(\int \cos ^{\frac{5}{2}}(c+d x) \sqrt{a+a \cos (c+d x)} \, dx\)
3.199
\(\int \cos ^{\frac{3}{2}}(c+d x) \sqrt{a+a \cos (c+d x)} \, dx\)
3.200
\(\int \sqrt{\cos (c+d x)} \sqrt{a+a \cos (c+d x)} \, dx\)
3.201
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\sqrt{\cos (c+d x)}} \, dx\)
3.202
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.203
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.204
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.205
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.206
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^{3/2} \, dx\)
3.207
\(\int \sqrt{\cos (c+d x)} (a+a \cos (c+d x))^{3/2} \, dx\)
3.208
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\sqrt{\cos (c+d x)}} \, dx\)
3.209
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.210
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.211
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.212
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.213
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^{5/2} \, dx\)
3.214
\(\int \sqrt{\cos (c+d x)} (a+a \cos (c+d x))^{5/2} \, dx\)
3.215
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\sqrt{\cos (c+d x)}} \, dx\)
3.216
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.217
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.218
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.219
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.220
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\cos ^{\frac{11}{2}}(c+d x)} \, dx\)
3.221
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\cos ^{\frac{5}{4}}(c+d x)} \, dx\)
3.222
\(\int \frac{\sqrt{a+a \cos (e+f x)}}{\sqrt{\cos (e+f x)}} \, dx\)
3.223
\(\int \frac{\sqrt{a-a \cos (e+f x)}}{\sqrt{-\cos (e+f x)}} \, dx\)
3.224
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.225
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.226
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.227
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{a+a \cos (c+d x)}} \, dx\)
3.228
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) \sqrt{a+a \cos (c+d x)}} \, dx\)
3.229
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) \sqrt{a+a \cos (c+d x)}} \, dx\)
3.230
\(\int \frac{1}{\cos ^{\frac{7}{2}}(c+d x) \sqrt{a+a \cos (c+d x)}} \, dx\)
3.231
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.232
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.233
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.234
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{1+\cos (c+d x)}} \, dx\)
3.235
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) \sqrt{1+\cos (c+d x)}} \, dx\)
3.236
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) \sqrt{1+\cos (c+d x)}} \, dx\)
3.237
\(\int \frac{1}{\cos ^{\frac{7}{2}}(c+d x) \sqrt{1+\cos (c+d x)}} \, dx\)
3.238
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.239
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.240
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.241
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+a \cos (c+d x))^{3/2}} \, dx\)
3.242
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^{3/2}} \, dx\)
3.243
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))^{3/2}} \, dx\)
3.244
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.245
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.246
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.247
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.248
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+a \cos (c+d x))^{5/2}} \, dx\)
3.249
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^{5/2}} \, dx\)
3.250
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))^{5/2}} \, dx\)
3.251
\(\int \frac{\cos ^{\frac{9}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.252
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.253
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.254
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.255
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.256
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+a \cos (c+d x))^{7/2}} \, dx\)
3.257
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+a \cos (c+d x))^{7/2}} \, dx\)
3.258
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+a \cos (c+d x))^{7/2}} \, dx\)
3.259
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+a \cos (c+d x))^{9/2}} \, dx\)
3.260
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{9/2}} \, dx\)
3.261
\(\int \frac{1}{\sqrt{\cos (x)} \sqrt{1+\cos (x)}} \, dx\)
3.262
\(\int \frac{1}{\sqrt{\cos (x)} \sqrt{a+a \cos (x)}} \, dx\)
3.263
\(\int \cos ^{\frac{3}{2}}(c+d x) \sqrt{a-a \cos (c+d x)} \, dx\)
3.264
\(\int \sqrt{\cos (c+d x)} \sqrt{a-a \cos (c+d x)} \, dx\)
3.265
\(\int \frac{\sqrt{a-a \cos (c+d x)}}{\sqrt{\cos (c+d x)}} \, dx\)
3.266
\(\int \frac{\sqrt{a-a \cos (c+d x)}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.267
\(\int \frac{\sqrt{a-a \cos (c+d x)}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.268
\(\int \frac{\sqrt{a-a \cos (c+d x)}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.269
\(\int \sqrt{1-\cos (c+d x)} \cos ^{\frac{3}{2}}(c+d x) \, dx\)
3.270
\(\int \sqrt{1-\cos (c+d x)} \sqrt{\cos (c+d x)} \, dx\)
3.271
\(\int \frac{\sqrt{1-\cos (c+d x)}}{\sqrt{\cos (c+d x)}} \, dx\)
3.272
\(\int \frac{\sqrt{1-\cos (c+d x)}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.273
\(\int \frac{\sqrt{1-\cos (c+d x)}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.274
\(\int \frac{\sqrt{1-\cos (c+d x)}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.275
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{\sqrt{a-a \cos (c+d x)}} \, dx\)
3.276
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{\sqrt{a-a \cos (c+d x)}} \, dx\)
3.277
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{a-a \cos (c+d x)}} \, dx\)
3.278
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{a-a \cos (c+d x)}} \, dx\)
3.279
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) \sqrt{a-a \cos (c+d x)}} \, dx\)
3.280
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) \sqrt{a-a \cos (c+d x)}} \, dx\)
3.281
\(\int \frac{1}{\cos ^{\frac{7}{2}}(c+d x) \sqrt{a-a \cos (c+d x)}} \, dx\)
3.282
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{\sqrt{1-\cos (c+d x)}} \, dx\)
3.283
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{\sqrt{1-\cos (c+d x)}} \, dx\)
3.284
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{1-\cos (c+d x)}} \, dx\)
3.285
\(\int \frac{1}{\sqrt{1-\cos (c+d x)} \sqrt{\cos (c+d x)}} \, dx\)
3.286
\(\int \frac{1}{\sqrt{1-\cos (c+d x)} \cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.287
\(\int \frac{1}{\sqrt{1-\cos (c+d x)} \cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.288
\(\int \cos ^{\frac{4}{3}}(c+d x) \sqrt [3]{a+a \cos (c+d x)} \, dx\)
3.289
\(\int \cos ^{\frac{4}{3}}(c+d x) (a+a \cos (c+d x))^{2/3} \, dx\)
3.290
\(\int \cos ^{\frac{5}{3}}(c+d x) (a+a \cos (c+d x))^{2/3} \, dx\)
3.291
\(\int (a+a \cos (c+d x)) \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.292
\(\int (a+a \cos (c+d x)) \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.293
\(\int (a+a \cos (c+d x)) \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.294
\(\int (a+a \cos (c+d x)) \sqrt{\sec (c+d x)} \, dx\)
3.295
\(\int \frac{a+a \cos (c+d x)}{\sqrt{\sec (c+d x)}} \, dx\)
3.296
\(\int \frac{a+a \cos (c+d x)}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.297
\(\int \frac{a+a \cos (c+d x)}{\sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.298
\(\int (a+a \cos (c+d x))^2 \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.299
\(\int (a+a \cos (c+d x))^2 \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.300
\(\int (a+a \cos (c+d x))^2 \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.301
\(\int (a+a \cos (c+d x))^2 \sqrt{\sec (c+d x)} \, dx\)
3.302
\(\int \frac{(a+a \cos (c+d x))^2}{\sqrt{\sec (c+d x)}} \, dx\)
3.303
\(\int \frac{(a+a \cos (c+d x))^2}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.304
\(\int (a+a \cos (c+d x))^3 \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.305
\(\int (a+a \cos (c+d x))^3 \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.306
\(\int (a+a \cos (c+d x))^3 \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.307
\(\int (a+a \cos (c+d x))^3 \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.308
\(\int (a+a \cos (c+d x))^3 \sqrt{\sec (c+d x)} \, dx\)
3.309
\(\int \frac{(a+a \cos (c+d x))^3}{\sqrt{\sec (c+d x)}} \, dx\)
3.310
\(\int \frac{(a+a \cos (c+d x))^3}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.311
\(\int (a+a \cos (c+d x))^4 \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.312
\(\int (a+a \cos (c+d x))^4 \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.313
\(\int (a+a \cos (c+d x))^4 \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.314
\(\int (a+a \cos (c+d x))^4 \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.315
\(\int (a+a \cos (c+d x))^4 \sqrt{\sec (c+d x)} \, dx\)
3.316
\(\int \frac{(a+a \cos (c+d x))^4}{\sqrt{\sec (c+d x)}} \, dx\)
3.317
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.318
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.319
\(\int \frac{\sqrt{\sec (c+d x)}}{a+a \cos (c+d x)} \, dx\)
3.320
\(\int \frac{1}{(a+a \cos (c+d x)) \sqrt{\sec (c+d x)}} \, dx\)
3.321
\(\int \frac{1}{(a+a \cos (c+d x)) \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.322
\(\int \frac{1}{(a+a \cos (c+d x)) \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.323
\(\int \frac{1}{(a+a \cos (c+d x)) \sec ^{\frac{7}{2}}(c+d x)} \, dx\)
3.324
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.325
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.326
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+a \cos (c+d x))^2} \, dx\)
3.327
\(\int \frac{1}{(a+a \cos (c+d x))^2 \sqrt{\sec (c+d x)}} \, dx\)
3.328
\(\int \frac{1}{(a+a \cos (c+d x))^2 \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.329
\(\int \frac{1}{(a+a \cos (c+d x))^2 \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.330
\(\int \frac{1}{(a+a \cos (c+d x))^2 \sec ^{\frac{7}{2}}(c+d x)} \, dx\)
3.331
\(\int \frac{1}{(a+a \cos (c+d x))^2 \sec ^{\frac{9}{2}}(c+d x)} \, dx\)
3.332
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.333
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+a \cos (c+d x))^3} \, dx\)
3.334
\(\int \frac{1}{(a+a \cos (c+d x))^3 \sqrt{\sec (c+d x)}} \, dx\)
3.335
\(\int \frac{1}{(a+a \cos (c+d x))^3 \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.336
\(\int \frac{1}{(a+a \cos (c+d x))^3 \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.337
\(\int \frac{1}{(a+a \cos (c+d x))^3 \sec ^{\frac{7}{2}}(c+d x)} \, dx\)
3.338
\(\int \frac{1}{(a+a \cos (c+d x))^3 \sec ^{\frac{9}{2}}(c+d x)} \, dx\)
3.339
\(\int \sqrt{a+a \cos (c+d x)} \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.340
\(\int \sqrt{a+a \cos (c+d x)} \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.341
\(\int \sqrt{a+a \cos (c+d x)} \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.342
\(\int \sqrt{a+a \cos (c+d x)} \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.343
\(\int \sqrt{a+a \cos (c+d x)} \sqrt{\sec (c+d x)} \, dx\)
3.344
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\sqrt{\sec (c+d x)}} \, dx\)
3.345
\(\int \frac{\sqrt{a+a \cos (c+d x)}}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.346
\(\int (a+a \cos (c+d x))^{3/2} \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.347
\(\int (a+a \cos (c+d x))^{3/2} \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.348
\(\int (a+a \cos (c+d x))^{3/2} \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.349
\(\int (a+a \cos (c+d x))^{3/2} \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.350
\(\int (a+a \cos (c+d x))^{3/2} \sqrt{\sec (c+d x)} \, dx\)
3.351
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\sqrt{\sec (c+d x)}} \, dx\)
3.352
\(\int \frac{(a+a \cos (c+d x))^{3/2}}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.353
\(\int (a+a \cos (c+d x))^{5/2} \sec ^{\frac{11}{2}}(c+d x) \, dx\)
3.354
\(\int (a+a \cos (c+d x))^{5/2} \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.355
\(\int (a+a \cos (c+d x))^{5/2} \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.356
\(\int (a+a \cos (c+d x))^{5/2} \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.357
\(\int (a+a \cos (c+d x))^{5/2} \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.358
\(\int (a+a \cos (c+d x))^{5/2} \sqrt{\sec (c+d x)} \, dx\)
3.359
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\sqrt{\sec (c+d x)}} \, dx\)
3.360
\(\int \frac{(a+a \cos (c+d x))^{5/2}}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.361
\(\int \frac{\sec ^{\frac{7}{2}}(c+d x)}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.362
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.363
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.364
\(\int \frac{\sqrt{\sec (c+d x)}}{\sqrt{1+\cos (c+d x)}} \, dx\)
3.365
\(\int \frac{1}{\sqrt{1+\cos (c+d x)} \sqrt{\sec (c+d x)}} \, dx\)
3.366
\(\int \frac{1}{\sqrt{1+\cos (c+d x)} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.367
\(\int \frac{\sec ^{\frac{7}{2}}(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.368
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.369
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.370
\(\int \frac{\sqrt{\sec (c+d x)}}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.371
\(\int \frac{1}{\sqrt{a+a \cos (c+d x)} \sqrt{\sec (c+d x)}} \, dx\)
3.372
\(\int \frac{1}{\sqrt{a+a \cos (c+d x)} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.373
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.374
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.375
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+a \cos (c+d x))^{3/2}} \, dx\)
3.376
\(\int \frac{1}{(a+a \cos (c+d x))^{3/2} \sqrt{\sec (c+d x)}} \, dx\)
3.377
\(\int \frac{1}{(a+a \cos (c+d x))^{3/2} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.378
\(\int \frac{1}{(a+a \cos (c+d x))^{3/2} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.379
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.380
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.381
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.382
\(\int \frac{1}{(a+a \cos (c+d x))^{5/2} \sqrt{\sec (c+d x)}} \, dx\)
3.383
\(\int \frac{1}{(a+a \cos (c+d x))^{5/2} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.384
\(\int \frac{1}{(a+a \cos (c+d x))^{5/2} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.385
\(\int \frac{1}{(a+a \cos (c+d x))^{5/2} \sec ^{\frac{7}{2}}(c+d x)} \, dx\)
3.386
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.387
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.388
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+a \cos (c+d x))^{7/2}} \, dx\)
3.389
\(\int \frac{1}{(a+a \cos (c+d x))^{7/2} \sqrt{\sec (c+d x)}} \, dx\)
3.390
\(\int \frac{1}{(a+a \cos (c+d x))^{7/2} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.391
\(\int \frac{1}{(a+a \cos (c+d x))^{7/2} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.392
\(\int \frac{1}{(a+a \cos (c+d x))^{7/2} \sec ^{\frac{7}{2}}(c+d x)} \, dx\)
3.393
\(\int \frac{1}{(a+a \cos (c+d x))^{7/2} \sec ^{\frac{9}{2}}(c+d x)} \, dx\)
3.394
\(\int \frac{1}{(a+a \cos (c+d x))^{9/2} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.395
\(\int \frac{1}{(a+a \cos (c+d x))^{9/2} \sec ^{\frac{7}{2}}(c+d x)} \, dx\)
3.396
\(\int (a+a \cos (c+d x))^{3/2} \sec ^{\frac{5}{4}}(c+d x) \, dx\)
3.397
\(\int \cos ^m(c+d x) (a+a \cos (c+d x))^4 \, dx\)
3.398
\(\int \cos ^m(c+d x) (a+a \cos (c+d x))^3 \, dx\)
3.399
\(\int \cos ^m(c+d x) (a+a \cos (c+d x))^2 \, dx\)
3.400
\(\int \cos ^m(c+d x) (a+a \cos (c+d x)) \, dx\)
3.401
\(\int \frac{\cos ^m(c+d x)}{a+a \cos (c+d x)} \, dx\)
3.402
\(\int \frac{\cos ^m(c+d x)}{(a+a \cos (c+d x))^2} \, dx\)
3.403
\(\int \cos ^7(c+d x) (a+b \cos (c+d x)) \, dx\)
3.404
\(\int \cos ^6(c+d x) (a+b \cos (c+d x)) \, dx\)
3.405
\(\int \cos ^5(c+d x) (a+b \cos (c+d x)) \, dx\)
3.406
\(\int \cos ^4(c+d x) (a+b \cos (c+d x)) \, dx\)
3.407
\(\int \cos ^3(c+d x) (a+b \cos (c+d x)) \, dx\)
3.408
\(\int \cos ^2(c+d x) (a+b \cos (c+d x)) \, dx\)
3.409
\(\int \cos (c+d x) (a+b \cos (c+d x)) \, dx\)
3.410
\(\int (a+b \cos (c+d x)) \, dx\)
3.411
\(\int (a+b \cos (c+d x)) \sec (c+d x) \, dx\)
3.412
\(\int (a+b \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.413
\(\int (a+b \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.414
\(\int (a+b \cos (c+d x)) \sec ^4(c+d x) \, dx\)
3.415
\(\int (a+b \cos (c+d x)) \sec ^5(c+d x) \, dx\)
3.416
\(\int (a+b \cos (c+d x)) \sec ^6(c+d x) \, dx\)
3.417
\(\int \cos ^4(c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.418
\(\int \cos ^3(c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.419
\(\int \cos ^2(c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.420
\(\int \cos (c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.421
\(\int (a+b \cos (c+d x))^2 \, dx\)
3.422
\(\int (a+b \cos (c+d x))^2 \sec (c+d x) \, dx\)
3.423
\(\int (a+b \cos (c+d x))^2 \sec ^2(c+d x) \, dx\)
3.424
\(\int (a+b \cos (c+d x))^2 \sec ^3(c+d x) \, dx\)
3.425
\(\int (a+b \cos (c+d x))^2 \sec ^4(c+d x) \, dx\)
3.426
\(\int (a+b \cos (c+d x))^2 \sec ^5(c+d x) \, dx\)
3.427
\(\int (a+b \cos (c+d x))^2 \sec ^6(c+d x) \, dx\)
3.428
\(\int \cos ^3(c+d x) (a+b \cos (c+d x))^3 \, dx\)
3.429
\(\int \cos ^2(c+d x) (a+b \cos (c+d x))^3 \, dx\)
3.430
\(\int \cos (c+d x) (a+b \cos (c+d x))^3 \, dx\)
3.431
\(\int (a+b \cos (c+d x))^3 \, dx\)
3.432
\(\int (a+b \cos (c+d x))^3 \sec (c+d x) \, dx\)
3.433
\(\int (a+b \cos (c+d x))^3 \sec ^2(c+d x) \, dx\)
3.434
\(\int (a+b \cos (c+d x))^3 \sec ^3(c+d x) \, dx\)
3.435
\(\int (a+b \cos (c+d x))^3 \sec ^4(c+d x) \, dx\)
3.436
\(\int (a+b \cos (c+d x))^3 \sec ^5(c+d x) \, dx\)
3.437
\(\int (a+b \cos (c+d x))^3 \sec ^6(c+d x) \, dx\)
3.438
\(\int \cos ^3(c+d x) (a+b \cos (c+d x))^4 \, dx\)
3.439
\(\int \cos ^2(c+d x) (a+b \cos (c+d x))^4 \, dx\)
3.440
\(\int \cos (c+d x) (a+b \cos (c+d x))^4 \, dx\)
3.441
\(\int (a+b \cos (c+d x))^4 \, dx\)
3.442
\(\int (a+b \cos (c+d x))^4 \sec (c+d x) \, dx\)
3.443
\(\int (a+b \cos (c+d x))^4 \sec ^2(c+d x) \, dx\)
3.444
\(\int (a+b \cos (c+d x))^4 \sec ^3(c+d x) \, dx\)
3.445
\(\int (a+b \cos (c+d x))^4 \sec ^4(c+d x) \, dx\)
3.446
\(\int (a+b \cos (c+d x))^4 \sec ^5(c+d x) \, dx\)
3.447
\(\int (a+b \cos (c+d x))^4 \sec ^6(c+d x) \, dx\)
3.448
\(\int (a+b \cos (c+d x))^4 \sec ^7(c+d x) \, dx\)
3.449
\(\int \frac{\cos ^5(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.450
\(\int \frac{\cos ^4(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.451
\(\int \frac{\cos ^3(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.452
\(\int \frac{\cos ^2(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.453
\(\int \frac{\cos (c+d x)}{a+b \cos (c+d x)} \, dx\)
3.454
\(\int \frac{1}{a+b \cos (c+d x)} \, dx\)
3.455
\(\int \frac{\sec (c+d x)}{a+b \cos (c+d x)} \, dx\)
3.456
\(\int \frac{\sec ^2(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.457
\(\int \frac{\sec ^3(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.458
\(\int \frac{\sec ^4(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.459
\(\int \frac{\cos ^5(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.460
\(\int \frac{\cos ^4(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.461
\(\int \frac{\cos ^3(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.462
\(\int \frac{\cos ^2(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.463
\(\int \frac{\cos (c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.464
\(\int \frac{1}{(a+b \cos (c+d x))^2} \, dx\)
3.465
\(\int \frac{\sec (c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.466
\(\int \frac{\sec ^2(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.467
\(\int \frac{\sec ^3(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.468
\(\int \frac{\sec ^4(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.469
\(\int \frac{\cos ^5(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.470
\(\int \frac{\cos ^4(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.471
\(\int \frac{\cos ^3(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.472
\(\int \frac{\cos ^2(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.473
\(\int \frac{\cos (c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.474
\(\int \frac{1}{(a+b \cos (c+d x))^3} \, dx\)
3.475
\(\int \frac{\sec (c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.476
\(\int \frac{\sec ^2(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.477
\(\int \frac{\sec ^3(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.478
\(\int \frac{\cos ^5(c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.479
\(\int \frac{\cos ^4(c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.480
\(\int \frac{\cos ^3(c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.481
\(\int \frac{\cos ^2(c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.482
\(\int \frac{\cos (c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.483
\(\int \frac{1}{(a+b \cos (c+d x))^4} \, dx\)
3.484
\(\int \frac{\sec (c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.485
\(\int \frac{\sec ^2(c+d x)}{(a+b \cos (c+d x))^4} \, dx\)
3.486
\(\int \cos ^3(c+d x) \sqrt{a+b \cos (c+d x)} \, dx\)
3.487
\(\int \cos ^2(c+d x) \sqrt{a+b \cos (c+d x)} \, dx\)
3.488
\(\int \cos (c+d x) \sqrt{a+b \cos (c+d x)} \, dx\)
3.489
\(\int \sqrt{a+b \cos (c+d x)} \, dx\)
3.490
\(\int \sqrt{a+b \cos (c+d x)} \sec (c+d x) \, dx\)
3.491
\(\int \sqrt{a+b \cos (c+d x)} \sec ^2(c+d x) \, dx\)
3.492
\(\int \sqrt{a+b \cos (c+d x)} \sec ^3(c+d x) \, dx\)
3.493
\(\int \cos ^3(c+d x) (a+b \cos (c+d x))^{3/2} \, dx\)
3.494
\(\int \cos ^2(c+d x) (a+b \cos (c+d x))^{3/2} \, dx\)
3.495
\(\int \cos (c+d x) (a+b \cos (c+d x))^{3/2} \, dx\)
3.496
\(\int (a+b \cos (c+d x))^{3/2} \, dx\)
3.497
\(\int (a+b \cos (c+d x))^{3/2} \sec (c+d x) \, dx\)
3.498
\(\int (a+b \cos (c+d x))^{3/2} \sec ^2(c+d x) \, dx\)
3.499
\(\int (a+b \cos (c+d x))^{3/2} \sec ^3(c+d x) \, dx\)
3.500
\(\int \cos ^3(c+d x) (a+b \cos (c+d x))^{5/2} \, dx\)
3.501
\(\int \cos ^2(c+d x) (a+b \cos (c+d x))^{5/2} \, dx\)
3.502
\(\int \cos (c+d x) (a+b \cos (c+d x))^{5/2} \, dx\)
3.503
\(\int (a+b \cos (c+d x))^{5/2} \, dx\)
3.504
\(\int (a+b \cos (c+d x))^{5/2} \sec (c+d x) \, dx\)
3.505
\(\int (a+b \cos (c+d x))^{5/2} \sec ^2(c+d x) \, dx\)
3.506
\(\int (a+b \cos (c+d x))^{5/2} \sec ^3(c+d x) \, dx\)
3.507
\(\int (a+b \cos (c+d x))^{5/2} \sec ^4(c+d x) \, dx\)
3.508
\(\int (a+b \cos (c+d x))^{7/2} \, dx\)
3.509
\(\int \cos ^3(c+d x) \sqrt{3+4 \cos (c+d x)} \, dx\)
3.510
\(\int \cos ^2(c+d x) \sqrt{3+4 \cos (c+d x)} \, dx\)
3.511
\(\int \cos (c+d x) \sqrt{3+4 \cos (c+d x)} \, dx\)
3.512
\(\int \sqrt{3+4 \cos (c+d x)} \, dx\)
3.513
\(\int \sqrt{3+4 \cos (c+d x)} \sec (c+d x) \, dx\)
3.514
\(\int \sqrt{3+4 \cos (c+d x)} \sec ^2(c+d x) \, dx\)
3.515
\(\int \sqrt{3+4 \cos (c+d x)} \sec ^3(c+d x) \, dx\)
3.516
\(\int \sqrt{3-4 \cos (c+d x)} \cos ^3(c+d x) \, dx\)
3.517
\(\int \sqrt{3-4 \cos (c+d x)} \cos ^2(c+d x) \, dx\)
3.518
\(\int \sqrt{3-4 \cos (c+d x)} \cos (c+d x) \, dx\)
3.519
\(\int \sqrt{3-4 \cos (c+d x)} \, dx\)
3.520
\(\int \sqrt{3-4 \cos (c+d x)} \sec (c+d x) \, dx\)
3.521
\(\int \sqrt{3-4 \cos (c+d x)} \sec ^2(c+d x) \, dx\)
3.522
\(\int \sqrt{3-4 \cos (c+d x)} \sec ^3(c+d x) \, dx\)
3.523
\(\int \frac{\cos ^3(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.524
\(\int \frac{\cos ^2(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.525
\(\int \frac{\cos (c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.526
\(\int \frac{1}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.527
\(\int \frac{\sec (c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.528
\(\int \frac{\sec ^2(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.529
\(\int \frac{\sec ^3(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.530
\(\int \frac{\cos ^4(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.531
\(\int \frac{\cos ^3(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.532
\(\int \frac{\cos ^2(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.533
\(\int \frac{\cos (c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.534
\(\int \frac{1}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.535
\(\int \frac{\sec (c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.536
\(\int \frac{\sec ^2(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.537
\(\int \frac{\sec ^3(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.538
\(\int \frac{\cos ^5(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.539
\(\int \frac{\cos ^4(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.540
\(\int \frac{\cos ^3(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.541
\(\int \frac{\cos ^2(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.542
\(\int \frac{\cos (c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.543
\(\int \frac{1}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.544
\(\int \frac{\sec (c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.545
\(\int \frac{\sec ^2(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.546
\(\int \frac{1}{(a+b \cos (c+d x))^{7/2}} \, dx\)
3.547
\(\int \frac{\cos ^3(c+d x)}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.548
\(\int \frac{\cos ^2(c+d x)}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.549
\(\int \frac{\cos (c+d x)}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.550
\(\int \frac{1}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.551
\(\int \frac{\sec (c+d x)}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.552
\(\int \frac{\sec ^2(c+d x)}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.553
\(\int \frac{\sec ^3(c+d x)}{\sqrt{3+4 \cos (c+d x)}} \, dx\)
3.554
\(\int \frac{\cos ^3(c+d x)}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.555
\(\int \frac{\cos ^2(c+d x)}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.556
\(\int \frac{\cos (c+d x)}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.557
\(\int \frac{1}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.558
\(\int \frac{\sec (c+d x)}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.559
\(\int \frac{\sec ^2(c+d x)}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.560
\(\int \frac{\sec ^3(c+d x)}{\sqrt{3-4 \cos (c+d x)}} \, dx\)
3.561
\(\int \cos ^{\frac{5}{2}}(c+d x) (A+B \cos (c+d x)) \, dx\)
3.562
\(\int \cos ^{\frac{3}{2}}(c+d x) (A+B \cos (c+d x)) \, dx\)
3.563
\(\int \sqrt{\cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.564
\(\int \frac{A+B \cos (c+d x)}{\sqrt{\cos (c+d x)}} \, dx\)
3.565
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.566
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.567
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.568
\(\int \cos ^{\frac{5}{2}}(c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.569
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.570
\(\int \sqrt{\cos (c+d x)} (a+b \cos (c+d x))^2 \, dx\)
3.571
\(\int \frac{(a+b \cos (c+d x))^2}{\sqrt{\cos (c+d x)}} \, dx\)
3.572
\(\int \frac{(a+b \cos (c+d x))^2}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.573
\(\int \frac{(a+b \cos (c+d x))^2}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.574
\(\int \frac{(a+b \cos (c+d x))^2}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.575
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^3 \, dx\)
3.576
\(\int \sqrt{\cos (c+d x)} (a+b \cos (c+d x))^3 \, dx\)
3.577
\(\int \frac{(a+b \cos (c+d x))^3}{\sqrt{\cos (c+d x)}} \, dx\)
3.578
\(\int \frac{(a+b \cos (c+d x))^3}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.579
\(\int \frac{(a+b \cos (c+d x))^3}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.580
\(\int \frac{(a+b \cos (c+d x))^3}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.581
\(\int \frac{(a+b \cos (c+d x))^3}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.582
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.583
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.584
\(\int \frac{\sqrt{\cos (c+d x)}}{a+b \cos (c+d x)} \, dx\)
3.585
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+b \cos (c+d x))} \, dx\)
3.586
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\)
3.587
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+b \cos (c+d x))} \, dx\)
3.588
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.589
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.590
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.591
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\)
3.592
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+b \cos (c+d x))^2} \, dx\)
3.593
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\)
3.594
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+b \cos (c+d x))^2} \, dx\)
3.595
\(\int \frac{\cos ^{\frac{9}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.596
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.597
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.598
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.599
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\)
3.600
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+b \cos (c+d x))^3} \, dx\)
3.601
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^3} \, dx\)
3.602
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+b \cos (c+d x))^3} \, dx\)
3.603
\(\int \cos ^{\frac{3}{2}}(c+d x) \sqrt{a+b \cos (c+d x)} \, dx\)
3.604
\(\int \sqrt{\cos (c+d x)} \sqrt{a+b \cos (c+d x)} \, dx\)
3.605
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\sqrt{\cos (c+d x)}} \, dx\)
3.606
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.607
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.608
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.609
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.610
\(\int \cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^{3/2} \, dx\)
3.611
\(\int \sqrt{\cos (c+d x)} (a+b \cos (c+d x))^{3/2} \, dx\)
3.612
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\sqrt{\cos (c+d x)}} \, dx\)
3.613
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.614
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.615
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.616
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.617
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\cos ^{\frac{11}{2}}(c+d x)} \, dx\)
3.618
\(\int \sqrt{\cos (c+d x)} (a+b \cos (c+d x))^{5/2} \, dx\)
3.619
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\sqrt{\cos (c+d x)}} \, dx\)
3.620
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.621
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.622
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.623
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.624
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\cos ^{\frac{11}{2}}(c+d x)} \, dx\)
3.625
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\cos ^{\frac{13}{2}}(c+d x)} \, dx\)
3.626
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.627
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.628
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{a+b \cos (c+d x)}} \, dx\)
3.629
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) \sqrt{a+b \cos (c+d x)}} \, dx\)
3.630
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) \sqrt{a+b \cos (c+d x)}} \, dx\)
3.631
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.632
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.633
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.634
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+b \cos (c+d x))^{3/2}} \, dx\)
3.635
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\)
3.636
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\)
3.637
\(\int \frac{1}{\cos ^{\frac{7}{2}}(c+d x) (a+b \cos (c+d x))^{3/2}} \, dx\)
3.638
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.639
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.640
\(\int \frac{\sqrt{\cos (c+d x)}}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.641
\(\int \frac{1}{\sqrt{\cos (c+d x)} (a+b \cos (c+d x))^{5/2}} \, dx\)
3.642
\(\int \frac{1}{\cos ^{\frac{3}{2}}(c+d x) (a+b \cos (c+d x))^{5/2}} \, dx\)
3.643
\(\int \frac{1}{\cos ^{\frac{5}{2}}(c+d x) (a+b \cos (c+d x))^{5/2}} \, dx\)
3.644
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{2+3 \cos (c+d x)}} \, dx\)
3.645
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{-2+3 \cos (c+d x)}} \, dx\)
3.646
\(\int \frac{1}{\sqrt{2-3 \cos (c+d x)} \sqrt{\cos (c+d x)}} \, dx\)
3.647
\(\int \frac{1}{\sqrt{-2-3 \cos (c+d x)} \sqrt{\cos (c+d x)}} \, dx\)
3.648
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{3+2 \cos (c+d x)}} \, dx\)
3.649
\(\int \frac{1}{\sqrt{3-2 \cos (c+d x)} \sqrt{\cos (c+d x)}} \, dx\)
3.650
\(\int \frac{1}{\sqrt{\cos (c+d x)} \sqrt{-3+2 \cos (c+d x)}} \, dx\)
3.651
\(\int \frac{1}{\sqrt{-3-2 \cos (c+d x)} \sqrt{\cos (c+d x)}} \, dx\)
3.652
\(\int \frac{1}{\sqrt{-\cos (c+d x)} \sqrt{2+3 \cos (c+d x)}} \, dx\)
3.653
\(\int \frac{1}{\sqrt{-\cos (c+d x)} \sqrt{-2+3 \cos (c+d x)}} \, dx\)
3.654
\(\int \frac{1}{\sqrt{2-3 \cos (c+d x)} \sqrt{-\cos (c+d x)}} \, dx\)
3.655
\(\int \frac{1}{\sqrt{-2-3 \cos (c+d x)} \sqrt{-\cos (c+d x)}} \, dx\)
3.656
\(\int \frac{1}{\sqrt{-\cos (c+d x)} \sqrt{3+2 \cos (c+d x)}} \, dx\)
3.657
\(\int \frac{1}{\sqrt{3-2 \cos (c+d x)} \sqrt{-\cos (c+d x)}} \, dx\)
3.658
\(\int \frac{1}{\sqrt{-\cos (c+d x)} \sqrt{-3+2 \cos (c+d x)}} \, dx\)
3.659
\(\int \frac{1}{\sqrt{-3-2 \cos (c+d x)} \sqrt{-\cos (c+d x)}} \, dx\)
3.660
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{2+3 \cos (c+d x)}} \, dx\)
3.661
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{-2+3 \cos (c+d x)}} \, dx\)
3.662
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{2-3 \cos (c+d x)}} \, dx\)
3.663
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{-2-3 \cos (c+d x)}} \, dx\)
3.664
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{3+2 \cos (c+d x)}} \, dx\)
3.665
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{3-2 \cos (c+d x)}} \, dx\)
3.666
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{-3+2 \cos (c+d x)}} \, dx\)
3.667
\(\int \frac{\sqrt{\cos (c+d x)}}{\sqrt{-3-2 \cos (c+d x)}} \, dx\)
3.668
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{2+3 \cos (c+d x)}} \, dx\)
3.669
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{-2+3 \cos (c+d x)}} \, dx\)
3.670
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{2-3 \cos (c+d x)}} \, dx\)
3.671
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{-2-3 \cos (c+d x)}} \, dx\)
3.672
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{3+2 \cos (c+d x)}} \, dx\)
3.673
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{3-2 \cos (c+d x)}} \, dx\)
3.674
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{-3+2 \cos (c+d x)}} \, dx\)
3.675
\(\int \frac{\sqrt{-\cos (c+d x)}}{\sqrt{-3-2 \cos (c+d x)}} \, dx\)
3.676
\(\int \frac{\cos ^{\frac{2}{3}}(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.677
\(\int \frac{\sqrt [3]{\cos (c+d x)}}{a+b \cos (c+d x)} \, dx\)
3.678
\(\int \frac{1}{\sqrt [3]{\cos (c+d x)} (a+b \cos (c+d x))} \, dx\)
3.679
\(\int \frac{1}{\cos ^{\frac{2}{3}}(c+d x) (a+b \cos (c+d x))} \, dx\)
3.680
\(\int \frac{\cos ^{\frac{7}{3}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.681
\(\int \frac{\cos ^{\frac{5}{3}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.682
\(\int \frac{\cos ^{\frac{4}{3}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.683
\(\int \frac{\cos ^{\frac{2}{3}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.684
\(\int \frac{\sqrt [3]{\cos (c+d x)}}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.685
\(\int \frac{1}{\sqrt [3]{\cos (c+d x)} \sqrt{a+b \cos (c+d x)}} \, dx\)
3.686
\(\int \frac{1}{\cos ^{\frac{2}{3}}(c+d x) \sqrt{a+b \cos (c+d x)}} \, dx\)
3.687
\(\int \frac{1}{\cos ^{\frac{4}{3}}(c+d x) \sqrt{a+b \cos (c+d x)}} \, dx\)
3.688
\(\int \frac{1}{\cos ^{\frac{5}{3}}(c+d x) \sqrt{a+b \cos (c+d x)}} \, dx\)
3.689
\(\int \frac{1}{\cos ^{\frac{7}{3}}(c+d x) \sqrt{a+b \cos (c+d x)}} \, dx\)
3.690
\(\int (A+B \cos (c+d x)) \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.691
\(\int (A+B \cos (c+d x)) \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.692
\(\int (A+B \cos (c+d x)) \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.693
\(\int (A+B \cos (c+d x)) \sqrt{\sec (c+d x)} \, dx\)
3.694
\(\int \frac{A+B \cos (c+d x)}{\sqrt{\sec (c+d x)}} \, dx\)
3.695
\(\int \frac{A+B \cos (c+d x)}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.696
\(\int \frac{A+B \cos (c+d x)}{\sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.697
\(\int (a+b \cos (c+d x))^2 \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.698
\(\int (a+b \cos (c+d x))^2 \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.699
\(\int (a+b \cos (c+d x))^2 \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.700
\(\int (a+b \cos (c+d x))^2 \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.701
\(\int (a+b \cos (c+d x))^2 \sqrt{\sec (c+d x)} \, dx\)
3.702
\(\int \frac{(a+b \cos (c+d x))^2}{\sqrt{\sec (c+d x)}} \, dx\)
3.703
\(\int \frac{(a+b \cos (c+d x))^2}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.704
\(\int \frac{(a+b \cos (c+d x))^2}{\sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.705
\(\int (a+b \cos (c+d x))^3 \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.706
\(\int (a+b \cos (c+d x))^3 \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.707
\(\int (a+b \cos (c+d x))^3 \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.708
\(\int (a+b \cos (c+d x))^3 \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.709
\(\int (a+b \cos (c+d x))^3 \sqrt{\sec (c+d x)} \, dx\)
3.710
\(\int \frac{(a+b \cos (c+d x))^3}{\sqrt{\sec (c+d x)}} \, dx\)
3.711
\(\int \frac{(a+b \cos (c+d x))^3}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.712
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.713
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.714
\(\int \frac{\sqrt{\sec (c+d x)}}{a+b \cos (c+d x)} \, dx\)
3.715
\(\int \frac{1}{(a+b \cos (c+d x)) \sqrt{\sec (c+d x)}} \, dx\)
3.716
\(\int \frac{1}{(a+b \cos (c+d x)) \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.717
\(\int \frac{1}{(a+b \cos (c+d x)) \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.718
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.719
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.720
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\)
3.721
\(\int \frac{1}{(a+b \cos (c+d x))^2 \sqrt{\sec (c+d x)}} \, dx\)
3.722
\(\int \frac{1}{(a+b \cos (c+d x))^2 \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.723
\(\int \frac{1}{(a+b \cos (c+d x))^2 \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.724
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.725
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^3} \, dx\)
3.726
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\)
3.727
\(\int \frac{1}{(a+b \cos (c+d x))^3 \sqrt{\sec (c+d x)}} \, dx\)
3.728
\(\int \frac{1}{(a+b \cos (c+d x))^3 \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.729
\(\int \frac{1}{(a+b \cos (c+d x))^3 \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.730
\(\int \sqrt{a+b \cos (c+d x)} \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.731
\(\int \sqrt{a+b \cos (c+d x)} \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.732
\(\int \sqrt{a+b \cos (c+d x)} \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.733
\(\int \sqrt{a+b \cos (c+d x)} \sqrt{\sec (c+d x)} \, dx\)
3.734
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\sqrt{\sec (c+d x)}} \, dx\)
3.735
\(\int \frac{\sqrt{a+b \cos (c+d x)}}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.736
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.737
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.738
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.739
\(\int (a+b \cos (c+d x))^{3/2} \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.740
\(\int (a+b \cos (c+d x))^{3/2} \sqrt{\sec (c+d x)} \, dx\)
3.741
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\sqrt{\sec (c+d x)}} \, dx\)
3.742
\(\int \frac{(a+b \cos (c+d x))^{3/2}}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.743
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\frac{11}{2}}(c+d x) \, dx\)
3.744
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\frac{9}{2}}(c+d x) \, dx\)
3.745
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\frac{7}{2}}(c+d x) \, dx\)
3.746
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\frac{5}{2}}(c+d x) \, dx\)
3.747
\(\int (a+b \cos (c+d x))^{5/2} \sec ^{\frac{3}{2}}(c+d x) \, dx\)
3.748
\(\int (a+b \cos (c+d x))^{5/2} \sqrt{\sec (c+d x)} \, dx\)
3.749
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\sqrt{\sec (c+d x)}} \, dx\)
3.750
\(\int \frac{(a+b \cos (c+d x))^{5/2}}{\sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.751
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.752
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.753
\(\int \frac{\sqrt{\sec (c+d x)}}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.754
\(\int \frac{1}{\sqrt{a+b \cos (c+d x)} \sqrt{\sec (c+d x)}} \, dx\)
3.755
\(\int \frac{1}{\sqrt{a+b \cos (c+d x)} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.756
\(\int \frac{1}{\sqrt{a+b \cos (c+d x)} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.757
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.758
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.759
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+b \cos (c+d x))^{3/2}} \, dx\)
3.760
\(\int \frac{1}{(a+b \cos (c+d x))^{3/2} \sqrt{\sec (c+d x)}} \, dx\)
3.761
\(\int \frac{1}{(a+b \cos (c+d x))^{3/2} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.762
\(\int \frac{1}{(a+b \cos (c+d x))^{3/2} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.763
\(\int \frac{\sec ^{\frac{5}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.764
\(\int \frac{\sec ^{\frac{3}{2}}(c+d x)}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.765
\(\int \frac{\sqrt{\sec (c+d x)}}{(a+b \cos (c+d x))^{5/2}} \, dx\)
3.766
\(\int \frac{1}{(a+b \cos (c+d x))^{5/2} \sqrt{\sec (c+d x)}} \, dx\)
3.767
\(\int \frac{1}{(a+b \cos (c+d x))^{5/2} \sec ^{\frac{3}{2}}(c+d x)} \, dx\)
3.768
\(\int \frac{1}{(a+b \cos (c+d x))^{5/2} \sec ^{\frac{5}{2}}(c+d x)} \, dx\)
3.769
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^4 \, dx\)
3.770
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^3 \, dx\)
3.771
\(\int \cos ^m(c+d x) (a+b \cos (c+d x))^2 \, dx\)
3.772
\(\int \cos ^m(c+d x) (a+b \cos (c+d x)) \, dx\)
3.773
\(\int \frac{\cos ^m(c+d x)}{a+b \cos (c+d x)} \, dx\)
3.774
\(\int \frac{\cos ^m(c+d x)}{(a+b \cos (c+d x))^2} \, dx\)
3.775
\(\int (a+b \cos (c+d x))^3 \sec ^m(c+d x) \, dx\)
3.776
\(\int (a+b \cos (c+d x))^2 \sec ^m(c+d x) \, dx\)
3.777
\(\int (a+b \cos (c+d x)) \sec ^m(c+d x) \, dx\)
3.778
\(\int \frac{\sqrt{1-\cos (x)}}{\sqrt{a-\cos (x)}} \, dx\)
3.779
\(\int \sqrt{\frac{1-\cos (x)}{a-\cos (x)}} \, dx\)
3.780
\(\int (a+a \cos (c+d x)) (-\frac{B}{2}+B \cos (c+d x)) \, dx\)
3.781
\(\int (a+a \cos (c+d x))^4 (-\frac{4 B}{5}+B \cos (c+d x)) \, dx\)
3.782
\(\int (a+a \cos (c+d x))^n (-\frac{B n}{1+n}+B \cos (c+d x)) \, dx\)
3.783
\(\int \frac{-\frac{3 B}{2}+B \cos (c+d x)}{(a+a \cos (c+d x))^3} \, dx\)
3.784
\(\int (a+a \cos (c+d x))^{3/2} (-\frac{3 B}{5}+B \cos (c+d x)) \, dx\)
3.785
\(\int \frac{B+B \cos (c+d x)}{\sqrt{a+a \cos (c+d x)}} \, dx\)
3.786
\(\int \frac{-\frac{5 B}{3}+B \cos (c+d x)}{(a+a \cos (c+d x))^{5/2}} \, dx\)
3.787
\(\int (a+a \cos (c+d x))^{2/3} (A+B \cos (c+d x)) \, dx\)
3.788
\(\int \sqrt [3]{a+a \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.789
\(\int \frac{A+B \cos (c+d x)}{\sqrt [3]{a+a \cos (c+d x)}} \, dx\)
3.790
\(\int \frac{A+B \cos (c+d x)}{(a+a \cos (c+d x))^{2/3}} \, dx\)
3.791
\(\int \frac{\frac{b B}{a}+B \cos (c+d x)}{a+b \cos (c+d x)} \, dx\)
3.792
\(\int \frac{a+b \cos (c+d x)}{(b+a \cos (c+d x))^2} \, dx\)
3.793
\(\int \frac{3+\cos (c+d x)}{2-\cos (c+d x)} \, dx\)
3.794
\(\int \frac{a B+b B \cos (c+d x)}{\sqrt{a+b \cos (c+d x)}} \, dx\)
3.795
\(\int (a+b \cos (c+d x))^{2/3} (A+B \cos (c+d x)) \, dx\)
3.796
\(\int \sqrt [3]{a+b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.797
\(\int \frac{A+B \cos (c+d x)}{\sqrt [3]{a+b \cos (c+d x)}} \, dx\)
3.798
\(\int \frac{A+B \cos (c+d x)}{(a+b \cos (c+d x))^{2/3}} \, dx\)
3.799
\(\int \cos ^2(c+d x) \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.800
\(\int \cos (c+d x) \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.801
\(\int \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.802
\(\int \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \sec (c+d x) \, dx\)
3.803
\(\int \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.804
\(\int \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.805
\(\int \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^4(c+d x) \, dx\)
3.806
\(\int \cos (c+d x) (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \, dx\)
3.807
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \, dx\)
3.808
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec (c+d x) \, dx\)
3.809
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.810
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.811
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^4(c+d x) \, dx\)
3.812
\(\int (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \sec ^5(c+d x) \, dx\)
3.813
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \, dx\)
3.814
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec (c+d x) \, dx\)
3.815
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.816
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.817
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^4(c+d x) \, dx\)
3.818
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^5(c+d x) \, dx\)
3.819
\(\int (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \sec ^6(c+d x) \, dx\)
3.820
\(\int \frac{\cos ^3(c+d x) (A+B \cos (c+d x))}{\sqrt{b \cos (c+d x)}} \, dx\)
3.821
\(\int \frac{\cos ^2(c+d x) (A+B \cos (c+d x))}{\sqrt{b \cos (c+d x)}} \, dx\)
3.822
\(\int \frac{\cos (c+d x) (A+B \cos (c+d x))}{\sqrt{b \cos (c+d x)}} \, dx\)
3.823
\(\int \frac{A+B \cos (c+d x)}{\sqrt{b \cos (c+d x)}} \, dx\)
3.824
\(\int \frac{(A+B \cos (c+d x)) \sec (c+d x)}{\sqrt{b \cos (c+d x)}} \, dx\)
3.825
\(\int \frac{(A+B \cos (c+d x)) \sec ^2(c+d x)}{\sqrt{b \cos (c+d x)}} \, dx\)
3.826
\(\int \frac{(A+B \cos (c+d x)) \sec ^3(c+d x)}{\sqrt{b \cos (c+d x)}} \, dx\)
3.827
\(\int \frac{\cos ^4(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.828
\(\int \frac{\cos ^3(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.829
\(\int \frac{\cos ^2(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.830
\(\int \frac{\cos (c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.831
\(\int \frac{A+B \cos (c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\)
3.832
\(\int \frac{(A+B \cos (c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\)
3.833
\(\int \frac{(A+B \cos (c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{3/2}} \, dx\)
3.834
\(\int \frac{\cos ^5(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.835
\(\int \frac{\cos ^4(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.836
\(\int \frac{\cos ^3(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.837
\(\int \frac{\cos ^2(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.838
\(\int \frac{\cos (c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.839
\(\int \frac{A+B \cos (c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\)
3.840
\(\int \frac{(A+B \cos (c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{5/2}} \, dx\)
3.841
\(\int \frac{A+B \cos (c+d x)}{(b \cos (c+d x))^{7/2}} \, dx\)
3.842
\(\int \cos ^{\frac{5}{2}}(c+d x) \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.843
\(\int \cos ^{\frac{3}{2}}(c+d x) \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.844
\(\int \sqrt{\cos (c+d x)} \sqrt{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.845
\(\int \frac{\sqrt{b \cos (c+d x)} (A+B \cos (c+d x))}{\sqrt{\cos (c+d x)}} \, dx\)
3.846
\(\int \frac{\sqrt{b \cos (c+d x)} (A+B \cos (c+d x))}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.847
\(\int \frac{\sqrt{b \cos (c+d x)} (A+B \cos (c+d x))}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.848
\(\int \frac{\sqrt{b \cos (c+d x)} (A+B \cos (c+d x))}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.849
\(\int \frac{\sqrt{b \cos (c+d x)} (A+B \cos (c+d x))}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.850
\(\int \cos ^{\frac{3}{2}}(c+d x) (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \, dx\)
3.851
\(\int \sqrt{\cos (c+d x)} (b \cos (c+d x))^{3/2} (A+B \cos (c+d x)) \, dx\)
3.852
\(\int \frac{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\sqrt{\cos (c+d x)}} \, dx\)
3.853
\(\int \frac{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.854
\(\int \frac{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.855
\(\int \frac{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.856
\(\int \frac{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.857
\(\int \frac{(b \cos (c+d x))^{3/2} (A+B \cos (c+d x))}{\cos ^{\frac{11}{2}}(c+d x)} \, dx\)
3.858
\(\int \sqrt{\cos (c+d x)} (b \cos (c+d x))^{5/2} (A+B \cos (c+d x)) \, dx\)
3.859
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\sqrt{\cos (c+d x)}} \, dx\)
3.860
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.861
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.862
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.863
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.864
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\frac{11}{2}}(c+d x)} \, dx\)
3.865
\(\int \frac{(b \cos (c+d x))^{5/2} (A+B \cos (c+d x))}{\cos ^{\frac{13}{2}}(c+d x)} \, dx\)
3.866
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x) (A+B \cos (c+d x))}{\sqrt{b \cos (c+d x)}} \, dx\)
3.867
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x) (A+B \cos (c+d x))}{\sqrt{b \cos (c+d x)}} \, dx\)
3.868
\(\int \frac{\sqrt{\cos (c+d x)} (A+B \cos (c+d x))}{\sqrt{b \cos (c+d x)}} \, dx\)
3.869
\(\int \frac{A+B \cos (c+d x)}{\sqrt{\cos (c+d x)} \sqrt{b \cos (c+d x)}} \, dx\)
3.870
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{3}{2}}(c+d x) \sqrt{b \cos (c+d x)}} \, dx\)
3.871
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{5}{2}}(c+d x) \sqrt{b \cos (c+d x)}} \, dx\)
3.872
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{7}{2}}(c+d x) \sqrt{b \cos (c+d x)}} \, dx\)
3.873
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.874
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.875
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.876
\(\int \frac{\sqrt{\cos (c+d x)} (A+B \cos (c+d x))}{(b \cos (c+d x))^{3/2}} \, dx\)
3.877
\(\int \frac{A+B \cos (c+d x)}{\sqrt{\cos (c+d x)} (b \cos (c+d x))^{3/2}} \, dx\)
3.878
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{3}{2}}(c+d x) (b \cos (c+d x))^{3/2}} \, dx\)
3.879
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{5}{2}}(c+d x) (b \cos (c+d x))^{3/2}} \, dx\)
3.880
\(\int \frac{\cos ^{\frac{9}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.881
\(\int \frac{\cos ^{\frac{7}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.882
\(\int \frac{\cos ^{\frac{5}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.883
\(\int \frac{\cos ^{\frac{3}{2}}(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.884
\(\int \frac{\sqrt{\cos (c+d x)} (A+B \cos (c+d x))}{(b \cos (c+d x))^{5/2}} \, dx\)
3.885
\(\int \frac{A+B \cos (c+d x)}{\sqrt{\cos (c+d x)} (b \cos (c+d x))^{5/2}} \, dx\)
3.886
\(\int \frac{A+B \cos (c+d x)}{\cos ^{\frac{3}{2}}(c+d x) (b \cos (c+d x))^{5/2}} \, dx\)
3.887
\(\int \cos ^2(c+d x) \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.888
\(\int \cos (c+d x) \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.889
\(\int \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.890
\(\int \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \sec (c+d x) \, dx\)
3.891
\(\int \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.892
\(\int \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.893
\(\int \cos ^2(c+d x) (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \, dx\)
3.894
\(\int \cos (c+d x) (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \, dx\)
3.895
\(\int (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \, dx\)
3.896
\(\int (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \sec (c+d x) \, dx\)
3.897
\(\int (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.898
\(\int (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.899
\(\int \frac{\cos ^2(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{2/3}} \, dx\)
3.900
\(\int \frac{\cos (c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{2/3}} \, dx\)
3.901
\(\int \frac{A+B \cos (c+d x)}{(b \cos (c+d x))^{2/3}} \, dx\)
3.902
\(\int \frac{(A+B \cos (c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{2/3}} \, dx\)
3.903
\(\int \frac{(A+B \cos (c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{2/3}} \, dx\)
3.904
\(\int \frac{(A+B \cos (c+d x)) \sec ^3(c+d x)}{(b \cos (c+d x))^{2/3}} \, dx\)
3.905
\(\int \frac{\cos ^2(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{4/3}} \, dx\)
3.906
\(\int \frac{\cos (c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{4/3}} \, dx\)
3.907
\(\int \frac{A+B \cos (c+d x)}{(b \cos (c+d x))^{4/3}} \, dx\)
3.908
\(\int \frac{(A+B \cos (c+d x)) \sec (c+d x)}{(b \cos (c+d x))^{4/3}} \, dx\)
3.909
\(\int \frac{(A+B \cos (c+d x)) \sec ^2(c+d x)}{(b \cos (c+d x))^{4/3}} \, dx\)
3.910
\(\int \frac{(A+B \cos (c+d x)) \sec ^3(c+d x)}{(b \cos (c+d x))^{4/3}} \, dx\)
3.911
\(\int \cos ^m(c+d x) (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.912
\(\int \cos ^2(c+d x) (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.913
\(\int \cos (c+d x) (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.914
\(\int (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.915
\(\int (b \cos (c+d x))^n (A+B \cos (c+d x)) \sec (c+d x) \, dx\)
3.916
\(\int (b \cos (c+d x))^n (A+B \cos (c+d x)) \sec ^2(c+d x) \, dx\)
3.917
\(\int (b \cos (c+d x))^n (A+B \cos (c+d x)) \sec ^3(c+d x) \, dx\)
3.918
\(\int (b \cos (c+d x))^n (A+B \cos (c+d x)) \sec ^4(c+d x) \, dx\)
3.919
\(\int \cos ^{\frac{5}{2}}(c+d x) (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.920
\(\int \cos ^{\frac{3}{2}}(c+d x) (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.921
\(\int \sqrt{\cos (c+d x)} (b \cos (c+d x))^n (A+B \cos (c+d x)) \, dx\)
3.922
\(\int \frac{(b \cos (c+d x))^n (A+B \cos (c+d x))}{\sqrt{\cos (c+d x)}} \, dx\)
3.923
\(\int \frac{(b \cos (c+d x))^n (A+B \cos (c+d x))}{\cos ^{\frac{3}{2}}(c+d x)} \, dx\)
3.924
\(\int \frac{(b \cos (c+d x))^n (A+B \cos (c+d x))}{\cos ^{\frac{5}{2}}(c+d x)} \, dx\)
3.925
\(\int \frac{(b \cos (c+d x))^n (A+B \cos (c+d x))}{\cos ^{\frac{7}{2}}(c+d x)} \, dx\)
3.926
\(\int \frac{(b \cos (c+d x))^n (A+B \cos (c+d x))}{\cos ^{\frac{9}{2}}(c+d x)} \, dx\)
3.927
\(\int \cos ^m(c+d x) (b \cos (c+d x))^{4/3} (A+B \cos (c+d x)) \, dx\)
3.928
\(\int \cos ^m(c+d x) (b \cos (c+d x))^{2/3} (A+B \cos (c+d x)) \, dx\)
3.929
\(\int \cos ^m(c+d x) \sqrt [3]{b \cos (c+d x)} (A+B \cos (c+d x)) \, dx\)
3.930
\(\int \frac{\cos ^m(c+d x) (A+B \cos (c+d x))}{\sqrt [3]{b \cos (c+d x)}} \, dx\)
3.931
\(\int \frac{\cos ^m(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{2/3}} \, dx\)
3.932
\(\int \frac{\cos ^m(c+d x) (A+B \cos (c+d x))}{(b \cos (c+d x))^{4/3}} \, dx\)
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