Chapter 3
Listing of integrals

 3.1 \(\int \sec ^{10}(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.2 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.3 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.4 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.5 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.6 \(\int (a+i a \tan (c+d x)) \, dx\)
 3.7 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.8 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.9 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.10 \(\int \cos ^8(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.11 \(\int \sec ^7(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.12 \(\int \sec ^5(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.13 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.14 \(\int \sec (c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.15 \(\int \cos (c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.16 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.17 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.18 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x)) \, dx\)
 3.19 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.20 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.21 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.22 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.23 \(\int (a+i a \tan (c+d x))^2 \, dx\)
 3.24 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.25 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.26 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.27 \(\int \cos ^8(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.28 \(\int \sec ^5(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.29 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.30 \(\int \sec (c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.31 \(\int \cos (c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.32 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.33 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.34 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.35 \(\int \cos ^9(c+d x) (a+i a \tan (c+d x))^2 \, dx\)
 3.36 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.37 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.38 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.39 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.40 \(\int (a+i a \tan (c+d x))^3 \, dx\)
 3.41 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.42 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.43 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.44 \(\int \cos ^8(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.45 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.46 \(\int \sec (c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.47 \(\int \cos (c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.48 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.49 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.50 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.51 \(\int \cos ^9(c+d x) (a+i a \tan (c+d x))^3 \, dx\)
 3.52 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.53 \(\int \sec (c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.54 \(\int \cos (c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.55 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.56 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.57 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.58 \(\int \cos ^9(c+d x) (a+i a \tan (c+d x))^4 \, dx\)
 3.59 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.60 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.61 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.62 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.63 \(\int (a+i a \tan (c+d x))^5 \, dx\)
 3.64 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.65 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.66 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.67 \(\int \cos ^8(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.68 \(\int \cos ^{10}(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.69 \(\int \cos ^{12}(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.70 \(\int \sec (c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.71 \(\int \cos (c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.72 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.73 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.74 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.75 \(\int \cos ^9(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.76 \(\int \cos ^{11}(c+d x) (a+i a \tan (c+d x))^5 \, dx\)
 3.77 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.78 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.79 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.80 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.81 \(\int (a+i a \tan (c+d x))^8 \, dx\)
 3.82 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.83 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.84 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.85 \(\int \cos ^8(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.86 \(\int \cos ^{10}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.87 \(\int \cos ^{12}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.88 \(\int \cos ^{14}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.89 \(\int \cos ^{16}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.90 \(\int \cos ^{18}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.91 \(\int \cos (c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.92 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.93 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.94 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.95 \(\int \cos ^9(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.96 \(\int \cos ^{11}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.97 \(\int \cos ^{13}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.98 \(\int \cos ^{15}(c+d x) (a+i a \tan (c+d x))^8 \, dx\)
 3.99 \(\int \frac{\sec ^{10}(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.100 \(\int \frac{\sec ^8(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.101 \(\int \frac{\sec ^6(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.102 \(\int \frac{\sec ^4(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.103 \(\int \frac{\sec ^2(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.104 \(\int \frac{1}{a+i a \tan (c+d x)} \, dx\)
 3.105 \(\int \frac{\cos ^2(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.106 \(\int \frac{\cos ^4(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.107 \(\int \frac{\sec ^7(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.108 \(\int \frac{\sec ^5(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.109 \(\int \frac{\sec ^3(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.110 \(\int \frac{\sec (c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.111 \(\int \frac{\cos (c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.112 \(\int \frac{\cos ^3(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.113 \(\int \frac{\cos ^5(c+d x)}{a+i a \tan (c+d x)} \, dx\)
 3.114 \(\int \frac{\sec ^{10}(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.115 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.116 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.117 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.118 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.119 \(\int \frac{1}{(a+i a \tan (c+d x))^2} \, dx\)
 3.120 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.121 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.122 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.123 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.124 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.125 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.126 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.127 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.128 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.129 \(\int \frac{\cos ^5(c+d x)}{(a+i a \tan (c+d x))^2} \, dx\)
 3.130 \(\int \frac{\sec ^{14}(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.131 \(\int \frac{\sec ^{12}(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.132 \(\int \frac{\sec ^{10}(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.133 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.134 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.135 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.136 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.137 \(\int \frac{1}{(a+i a \tan (c+d x))^3} \, dx\)
 3.138 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.139 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.140 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.141 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.142 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.143 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.144 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.145 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.146 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.147 \(\int \frac{\cos ^5(c+d x)}{(a+i a \tan (c+d x))^3} \, dx\)
 3.148 \(\int \frac{\sec ^{14}(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.149 \(\int \frac{\sec ^{12}(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.150 \(\int \frac{\sec ^{10}(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.151 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.152 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.153 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.154 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.155 \(\int \frac{1}{(a+i a \tan (c+d x))^4} \, dx\)
 3.156 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.157 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.158 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.159 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.160 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.161 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.162 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.163 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.164 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.165 \(\int \frac{\cos ^5(c+d x)}{(a+i a \tan (c+d x))^4} \, dx\)
 3.166 \(\int \frac{\sec ^{14}(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.167 \(\int \frac{\sec ^{12}(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.168 \(\int \frac{\sec ^{10}(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.169 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.170 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.171 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.172 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.173 \(\int \frac{1}{(a+i a \tan (c+d x))^8} \, dx\)
 3.174 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.175 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.176 \(\int \frac{\sec ^{13}(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.177 \(\int \frac{\sec ^{11}(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.178 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.179 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.180 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.181 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.182 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.183 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.184 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^8} \, dx\)
 3.185 \(\int (e \sec (c+d x))^{7/2} (a+i a \tan (c+d x)) \, dx\)
 3.186 \(\int (e \sec (c+d x))^{5/2} (a+i a \tan (c+d x)) \, dx\)
 3.187 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x)) \, dx\)
 3.188 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x)) \, dx\)
 3.189 \(\int \frac{a+i a \tan (c+d x)}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.190 \(\int \frac{a+i a \tan (c+d x)}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.191 \(\int \frac{a+i a \tan (c+d x)}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.192 \(\int \frac{a+i a \tan (c+d x)}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.193 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^2 \, dx\)
 3.194 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^2 \, dx\)
 3.195 \(\int \frac{(a+i a \tan (c+d x))^2}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.196 \(\int \frac{(a+i a \tan (c+d x))^2}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.197 \(\int \frac{(a+i a \tan (c+d x))^2}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.198 \(\int \frac{(a+i a \tan (c+d x))^2}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.199 \(\int \frac{(a+i a \tan (c+d x))^2}{(e \sec (c+d x))^{9/2}} \, dx\)
 3.200 \(\int \frac{(a+i a \tan (c+d x))^2}{(e \sec (c+d x))^{11/2}} \, dx\)
 3.201 \(\int (e \sec (c+d x))^{7/2} (a+i a \tan (c+d x))^3 \, dx\)
 3.202 \(\int (e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^3 \, dx\)
 3.203 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^3 \, dx\)
 3.204 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^3 \, dx\)
 3.205 \(\int \frac{(a+i a \tan (c+d x))^3}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.206 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.207 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.208 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.209 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{9/2}} \, dx\)
 3.210 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{11/2}} \, dx\)
 3.211 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{13/2}} \, dx\)
 3.212 \(\int \frac{(a+i a \tan (c+d x))^3}{(e \sec (c+d x))^{15/2}} \, dx\)
 3.213 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^4 \, dx\)
 3.214 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^4 \, dx\)
 3.215 \(\int \frac{(a+i a \tan (c+d x))^4}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.216 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.217 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.218 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.219 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{9/2}} \, dx\)
 3.220 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{11/2}} \, dx\)
 3.221 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{13/2}} \, dx\)
 3.222 \(\int \frac{(a+i a \tan (c+d x))^4}{(e \sec (c+d x))^{15/2}} \, dx\)
 3.223 \(\int \frac{(e \sec (c+d x))^{11/2}}{a+i a \tan (c+d x)} \, dx\)
 3.224 \(\int \frac{(e \sec (c+d x))^{9/2}}{a+i a \tan (c+d x)} \, dx\)
 3.225 \(\int \frac{(e \sec (c+d x))^{7/2}}{a+i a \tan (c+d x)} \, dx\)
 3.226 \(\int \frac{(e \sec (c+d x))^{5/2}}{a+i a \tan (c+d x)} \, dx\)
 3.227 \(\int \frac{(e \sec (c+d x))^{3/2}}{a+i a \tan (c+d x)} \, dx\)
 3.228 \(\int \frac{\sqrt{e \sec (c+d x)}}{a+i a \tan (c+d x)} \, dx\)
 3.229 \(\int \frac{1}{\sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))} \, dx\)
 3.230 \(\int \frac{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))} \, dx\)
 3.231 \(\int \frac{1}{(e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))} \, dx\)
 3.232 \(\int \frac{1}{(e \sec (c+d x))^{7/2} (a+i a \tan (c+d x))} \, dx\)
 3.233 \(\int \frac{(e \sec (c+d x))^{15/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.234 \(\int \frac{(e \sec (c+d x))^{13/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.235 \(\int \frac{(e \sec (c+d x))^{11/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.236 \(\int \frac{(e \sec (c+d x))^{9/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.237 \(\int \frac{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.238 \(\int \frac{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.239 \(\int \frac{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.240 \(\int \frac{\sqrt{e \sec (c+d x)}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.241 \(\int \frac{1}{\sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^2} \, dx\)
 3.242 \(\int \frac{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.243 \(\int \frac{1}{(e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.244 \(\int \frac{1}{(e \sec (c+d x))^{7/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.245 \(\int \frac{(e \sec (c+d x))^{15/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.246 \(\int \frac{(e \sec (c+d x))^{13/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.247 \(\int \frac{(e \sec (c+d x))^{11/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.248 \(\int \frac{(e \sec (c+d x))^{9/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.249 \(\int \frac{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.250 \(\int \frac{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.251 \(\int \frac{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.252 \(\int \frac{\sqrt{e \sec (c+d x)}}{(a+i a \tan (c+d x))^3} \, dx\)
 3.253 \(\int \frac{1}{\sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^3} \, dx\)
 3.254 \(\int \frac{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^3} \, dx\)
 3.255 \(\int \frac{(e \sec (c+d x))^{15/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.256 \(\int \frac{(e \sec (c+d x))^{13/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.257 \(\int \frac{(e \sec (c+d x))^{11/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.258 \(\int \frac{(e \sec (c+d x))^{9/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.259 \(\int \frac{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.260 \(\int \frac{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.261 \(\int \frac{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.262 \(\int \frac{\sqrt{e \sec (c+d x)}}{(a+i a \tan (c+d x))^4} \, dx\)
 3.263 \(\int (d \sec (e+f x))^{5/3} (a+i a \tan (e+f x)) \, dx\)
 3.264 \(\int \sqrt [3]{d \sec (e+f x)} (a+i a \tan (e+f x)) \, dx\)
 3.265 \(\int \frac{a+i a \tan (e+f x)}{\sqrt [3]{d \sec (e+f x)}} \, dx\)
 3.266 \(\int \frac{a+i a \tan (e+f x)}{(d \sec (e+f x))^{5/3}} \, dx\)
 3.267 \(\int (d \sec (e+f x))^{5/3} (a+i a \tan (e+f x))^2 \, dx\)
 3.268 \(\int \sqrt [3]{d \sec (e+f x)} (a+i a \tan (e+f x))^2 \, dx\)
 3.269 \(\int \frac{(a+i a \tan (e+f x))^2}{\sqrt [3]{d \sec (e+f x)}} \, dx\)
 3.270 \(\int \frac{(a+i a \tan (e+f x))^2}{(d \sec (e+f x))^{5/3}} \, dx\)
 3.271 \(\int \frac{(d \sec (e+f x))^{5/3}}{a+i a \tan (e+f x)} \, dx\)
 3.272 \(\int \frac{\sqrt [3]{d \sec (e+f x)}}{a+i a \tan (e+f x)} \, dx\)
 3.273 \(\int \frac{1}{\sqrt [3]{d \sec (e+f x)} (a+i a \tan (e+f x))} \, dx\)
 3.274 \(\int \frac{1}{(d \sec (e+f x))^{5/3} (a+i a \tan (e+f x))} \, dx\)
 3.275 \(\int \frac{(d \sec (e+f x))^{5/3}}{(a+i a \tan (e+f x))^2} \, dx\)
 3.276 \(\int \frac{\sqrt [3]{d \sec (e+f x)}}{(a+i a \tan (e+f x))^2} \, dx\)
 3.277 \(\int \frac{1}{\sqrt [3]{d \sec (e+f x)} (a+i a \tan (e+f x))^2} \, dx\)
 3.278 \(\int \frac{1}{(d \sec (e+f x))^{5/3} (a+i a \tan (e+f x))^2} \, dx\)
 3.279 \(\int \sec ^8(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.280 \(\int \sec ^6(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.281 \(\int \sec ^4(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.282 \(\int \sec ^2(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.283 \(\int \cos ^2(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.284 \(\int \cos ^4(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.285 \(\int \cos ^6(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.286 \(\int \sec ^7(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.287 \(\int \sec ^5(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.288 \(\int \sec ^3(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.289 \(\int \sec (c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.290 \(\int \cos (c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.291 \(\int \cos ^3(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.292 \(\int \cos ^5(c+d x) \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.293 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.294 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.295 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.296 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.297 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.298 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.299 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.300 \(\int \sec ^5(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.301 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.302 \(\int \sec (c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.303 \(\int \cos (c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.304 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.305 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.306 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.307 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.308 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.309 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.310 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.311 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.312 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.313 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.314 \(\int \sec (c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.315 \(\int \cos (c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.316 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.317 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.318 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.319 \(\int \sec ^8(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.320 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.321 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.322 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.323 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.324 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.325 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.326 \(\int \sec (c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.327 \(\int \cos (c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.328 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.329 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.330 \(\int \cos ^7(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.331 \(\int \cos ^9(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.332 \(\int \cos ^{11}(c+d x) (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.333 \(\int \frac{\sec ^8(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.334 \(\int \frac{\sec ^6(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.335 \(\int \frac{\sec ^4(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.336 \(\int \frac{\sec ^2(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.337 \(\int \frac{\cos ^2(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.338 \(\int \frac{\cos ^4(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.339 \(\int \frac{\cos ^6(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.340 \(\int \frac{\sec ^9(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.341 \(\int \frac{\sec ^7(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.342 \(\int \frac{\sec ^5(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.343 \(\int \frac{\sec ^3(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.344 \(\int \frac{\sec (c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.345 \(\int \frac{\cos (c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.346 \(\int \frac{\cos ^3(c+d x)}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.347 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.348 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.349 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.350 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.351 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.352 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.353 \(\int \frac{\cos ^6(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.354 \(\int \frac{\sec ^{11}(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.355 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.356 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.357 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.358 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.359 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.360 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.361 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.362 \(\int \frac{\sec ^{10}(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.363 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.364 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.365 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.366 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.367 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.368 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.369 \(\int \frac{\sec ^{13}(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.370 \(\int \frac{\sec ^{11}(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.371 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.372 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.373 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.374 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.375 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.376 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.377 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.378 \(\int \frac{\sec ^{10}(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.379 \(\int \frac{\sec ^8(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.380 \(\int \frac{\sec ^6(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.381 \(\int \frac{\sec ^4(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.382 \(\int \frac{\sec ^2(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.383 \(\int \frac{\cos ^2(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.384 \(\int \frac{\cos ^4(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.385 \(\int \frac{\sec ^{13}(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.386 \(\int \frac{\sec ^{11}(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.387 \(\int \frac{\sec ^9(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.388 \(\int \frac{\sec ^7(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.389 \(\int \frac{\sec ^5(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.390 \(\int \frac{\sec ^3(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.391 \(\int \frac{\sec (c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.392 \(\int \frac{\cos (c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.393 \(\int \frac{\cos ^3(c+d x)}{(a+i a \tan (c+d x))^{7/2}} \, dx\)
 3.394 \(\int (e \sec (c+d x))^{3/2} \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.395 \(\int \sqrt{e \sec (c+d x)} \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.396 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.397 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.398 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.399 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.400 \(\int (e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.401 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.402 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.403 \(\int \frac{(a+i a \tan (c+d x))^{3/2}}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.404 \(\int \frac{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.405 \(\int \frac{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.406 \(\int \frac{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.407 \(\int \frac{(a+i a \tan (c+d x))^{3/2}}{(e \sec (c+d x))^{9/2}} \, dx\)
 3.408 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.409 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.410 \(\int \frac{(a+i a \tan (c+d x))^{5/2}}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.411 \(\int \frac{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.412 \(\int \frac{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.413 \(\int \frac{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{7/2}} \, dx\)
 3.414 \(\int \frac{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{9/2}} \, dx\)
 3.415 \(\int \frac{(a+i a \tan (c+d x))^{5/2}}{(e \sec (c+d x))^{11/2}} \, dx\)
 3.416 \(\int \frac{(e \sec (c+d x))^{5/2}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.417 \(\int \frac{(e \sec (c+d x))^{3/2}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.418 \(\int \frac{\sqrt{e \sec (c+d x)}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.419 \(\int \frac{1}{\sqrt{e \sec (c+d x)} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.420 \(\int \frac{1}{(e \sec (c+d x))^{3/2} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.421 \(\int \frac{1}{(e \sec (c+d x))^{5/2} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.422 \(\int \frac{1}{(e \sec (c+d x))^{7/2} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.423 \(\int \frac{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.424 \(\int \frac{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.425 \(\int \frac{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.426 \(\int \frac{\sqrt{e \sec (c+d x)}}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.427 \(\int \frac{1}{\sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.428 \(\int \frac{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.429 \(\int \frac{1}{(e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.430 \(\int \frac{(e \sec (c+d x))^{9/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.431 \(\int \frac{(e \sec (c+d x))^{7/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.432 \(\int \frac{(e \sec (c+d x))^{5/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.433 \(\int \frac{(e \sec (c+d x))^{3/2}}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.434 \(\int \frac{\sqrt{e \sec (c+d x)}}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.435 \(\int \frac{1}{\sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.436 \(\int \frac{1}{(e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.437 \(\int \frac{(e \sec (c+d x))^{7/3}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.438 \(\int \frac{(e \sec (c+d x))^{5/3}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.439 \(\int \frac{(e \sec (c+d x))^{2/3}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.440 \(\int \frac{\sqrt [3]{e \sec (c+d x)}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.441 \(\int \frac{1}{\sqrt [3]{e \sec (c+d x)} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.442 \(\int \frac{1}{(e \sec (c+d x))^{4/3} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.443 \(\int \frac{(d \sec (e+f x))^{2/3}}{(a+i a \tan (e+f x))^{7/3}} \, dx\)
 3.444 \(\int \frac{(d \sec (e+f x))^{2/3}}{(a+i a \tan (e+f x))^{4/3}} \, dx\)
 3.445 \(\int \frac{(d \sec (e+f x))^{2/3}}{\sqrt [3]{a+i a \tan (e+f x)}} \, dx\)
 3.446 \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{2/3} \, dx\)
 3.447 \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{5/3} \, dx\)
 3.448 \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{8/3} \, dx\)
 3.449 \(\int (d \sec (e+f x))^{2/3} (a+i a \tan (e+f x))^{11/3} \, dx\)
 3.450 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^5 \, dx\)
 3.451 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^3 \, dx\)
 3.452 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^2 \, dx\)
 3.453 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x)) \, dx\)
 3.454 \(\int \frac{(e \sec (c+d x))^m}{a+i a \tan (c+d x)} \, dx\)
 3.455 \(\int \frac{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^2} \, dx\)
 3.456 \(\int \frac{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^3} \, dx\)
 3.457 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^{7/2} \, dx\)
 3.458 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^{5/2} \, dx\)
 3.459 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^{3/2} \, dx\)
 3.460 \(\int (e \sec (c+d x))^m \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.461 \(\int \frac{(e \sec (c+d x))^m}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.462 \(\int \frac{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^{3/2}} \, dx\)
 3.463 \(\int \frac{(e \sec (c+d x))^m}{(a+i a \tan (c+d x))^{5/2}} \, dx\)
 3.464 \(\int (e \sec (c+d x))^m (a+i a \tan (c+d x))^n \, dx\)
 3.465 \(\int \sec ^6(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.466 \(\int \sec ^4(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.467 \(\int \sec ^2(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.468 \(\int \cos ^2(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.469 \(\int \cos ^4(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.470 \(\int \cos ^6(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.471 \(\int \sec ^5(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.472 \(\int \sec ^3(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.473 \(\int \sec (c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.474 \(\int \cos (c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.475 \(\int \cos ^3(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.476 \(\int \cos ^5(c+d x) (a+i a \tan (c+d x))^n \, dx\)
 3.477 \(\int (e \sec (c+d x))^{5/2} (a+i a \tan (c+d x))^n \, dx\)
 3.478 \(\int (e \sec (c+d x))^{3/2} (a+i a \tan (c+d x))^n \, dx\)
 3.479 \(\int \sqrt{e \sec (c+d x)} (a+i a \tan (c+d x))^n \, dx\)
 3.480 \(\int \frac{(a+i a \tan (c+d x))^n}{\sqrt{e \sec (c+d x)}} \, dx\)
 3.481 \(\int \frac{(a+i a \tan (c+d x))^n}{(e \sec (c+d x))^{3/2}} \, dx\)
 3.482 \(\int \frac{(a+i a \tan (c+d x))^n}{(e \sec (c+d x))^{5/2}} \, dx\)
 3.483 \(\int (e \sec (c+d x))^{-4-n} (a+i a \tan (c+d x))^n \, dx\)
 3.484 \(\int (e \sec (c+d x))^{-3-n} (a+i a \tan (c+d x))^n \, dx\)
 3.485 \(\int (e \sec (c+d x))^{-2-n} (a+i a \tan (c+d x))^n \, dx\)
 3.486 \(\int (e \sec (c+d x))^{-1-n} (a+i a \tan (c+d x))^n \, dx\)
 3.487 \(\int (e \sec (c+d x))^{-n} (a+i a \tan (c+d x))^n \, dx\)
 3.488 \(\int (e \sec (c+d x))^{1-n} (a+i a \tan (c+d x))^n \, dx\)
 3.489 \(\int (e \sec (c+d x))^{2-n} (a+i a \tan (c+d x))^n \, dx\)
 3.490 \(\int (e \sec (c+d x))^{3-n} (a+i a \tan (c+d x))^n \, dx\)
 3.491 \(\int (e \sec (c+d x))^{6-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.492 \(\int (e \sec (c+d x))^{5-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.493 \(\int (e \sec (c+d x))^{4-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.494 \(\int (e \sec (c+d x))^{3-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.495 \(\int (e \sec (c+d x))^{2-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.496 \(\int (e \sec (c+d x))^{1-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.497 \(\int (e \sec (c+d x))^{-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.498 \(\int (e \sec (c+d x))^{-1-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.499 \(\int (e \sec (c+d x))^{-2-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.500 \(\int (e \sec (c+d x))^{-3-2 n} (a+i a \tan (c+d x))^n \, dx\)
 3.501 \(\int (d \sec (e+f x))^{2 n} (a+i a \tan (e+f x))^{-2-n} \, dx\)
 3.502 \(\int (d \sec (e+f x))^{2 n} (a+i a \tan (e+f x))^{-1-n} \, dx\)
 3.503 \(\int (d \sec (e+f x))^{2 n} (a+i a \tan (e+f x))^{-n} \, dx\)
 3.504 \(\int (d \sec (e+f x))^{2 n} (a+i a \tan (e+f x))^{1-n} \, dx\)
 3.505 \(\int (d \sec (e+f x))^{2 n} (a+i a \tan (e+f x))^{2-n} \, dx\)
 3.506 \(\int (d \sec (e+f x))^{2 n} (a+i a \tan (e+f x))^{3-n} \, dx\)
 3.507 \(\int \sec ^6(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.508 \(\int \sec ^5(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.509 \(\int \sec ^4(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.510 \(\int \sec ^3(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.511 \(\int \sec ^2(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.512 \(\int \sec (c+d x) (a+b \tan (c+d x)) \, dx\)
 3.513 \(\int \cos (c+d x) (a+b \tan (c+d x)) \, dx\)
 3.514 \(\int \cos ^2(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.515 \(\int \cos ^3(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.516 \(\int \cos ^4(c+d x) (a+b \tan (c+d x)) \, dx\)
 3.517 \(\int \sec ^8(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.518 \(\int \sec ^6(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.519 \(\int \sec ^4(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.520 \(\int \sec ^2(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.521 \(\int \cos ^2(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.522 \(\int \cos ^4(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.523 \(\int \sec ^7(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.524 \(\int \sec ^5(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.525 \(\int \sec ^3(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.526 \(\int \sec (c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.527 \(\int \cos (c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.528 \(\int \cos ^3(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.529 \(\int \cos ^5(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.530 \(\int \cos ^7(c+d x) (a+b \tan (c+d x))^2 \, dx\)
 3.531 \(\int \sec ^8(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.532 \(\int \sec ^6(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.533 \(\int \sec ^4(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.534 \(\int \sec ^2(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.535 \(\int \cos ^2(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.536 \(\int \cos ^4(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.537 \(\int \sec ^5(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.538 \(\int \sec ^3(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.539 \(\int \sec (c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.540 \(\int \cos (c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.541 \(\int \cos ^3(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.542 \(\int \cos ^5(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.543 \(\int \cos ^7(c+d x) (a+b \tan (c+d x))^3 \, dx\)
 3.544 \(\int \frac{\sec ^6(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.545 \(\int \frac{\sec ^4(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.546 \(\int \frac{\sec ^2(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.547 \(\int \frac{\cos ^2(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.548 \(\int \frac{\cos ^4(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.549 \(\int \frac{\sec ^5(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.550 \(\int \frac{\sec ^3(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.551 \(\int \frac{\sec (c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.552 \(\int \frac{\cos (c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.553 \(\int \frac{\cos ^3(c+d x)}{a+b \tan (c+d x)} \, dx\)
 3.554 \(\int \frac{\sec ^8(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.555 \(\int \frac{\sec ^6(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.556 \(\int \frac{\sec ^4(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.557 \(\int \frac{\sec ^2(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.558 \(\int \frac{\cos ^2(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.559 \(\int \frac{\cos ^4(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.560 \(\int \frac{\sec ^7(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.561 \(\int \frac{\sec ^5(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.562 \(\int \frac{\sec ^3(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.563 \(\int \frac{\sec (c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.564 \(\int \frac{\cos (c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.565 \(\int \frac{\cos ^3(c+d x)}{(a+b \tan (c+d x))^2} \, dx\)
 3.566 \(\int \frac{\sec ^8(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.567 \(\int \frac{\sec ^6(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.568 \(\int \frac{\sec ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.569 \(\int \frac{\sec ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.570 \(\int \frac{\cos ^2(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.571 \(\int \frac{\cos ^4(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.572 \(\int \frac{\sec ^7(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.573 \(\int \frac{\sec ^5(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.574 \(\int \frac{\sec ^3(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.575 \(\int \frac{\sec (c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.576 \(\int \frac{\cos (c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.577 \(\int \frac{\cos ^3(c+d x)}{(a+b \tan (c+d x))^3} \, dx\)
 3.578 \(\int (d \sec (e+f x))^{7/2} (a+b \tan (e+f x)) \, dx\)
 3.579 \(\int (d \sec (e+f x))^{5/2} (a+b \tan (e+f x)) \, dx\)
 3.580 \(\int (d \sec (e+f x))^{3/2} (a+b \tan (e+f x)) \, dx\)
 3.581 \(\int \sqrt{d \sec (e+f x)} (a+b \tan (e+f x)) \, dx\)
 3.582 \(\int \frac{a+b \tan (e+f x)}{\sqrt{d \sec (e+f x)}} \, dx\)
 3.583 \(\int \frac{a+b \tan (e+f x)}{(d \sec (e+f x))^{3/2}} \, dx\)
 3.584 \(\int \frac{a+b \tan (e+f x)}{(d \sec (e+f x))^{5/2}} \, dx\)
 3.585 \(\int \frac{a+b \tan (e+f x)}{(d \sec (e+f x))^{7/2}} \, dx\)
 3.586 \(\int (d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^2 \, dx\)
 3.587 \(\int (d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^2 \, dx\)
 3.588 \(\int \sqrt{d \sec (e+f x)} (a+b \tan (e+f x))^2 \, dx\)
 3.589 \(\int \frac{(a+b \tan (e+f x))^2}{\sqrt{d \sec (e+f x)}} \, dx\)
 3.590 \(\int \frac{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{3/2}} \, dx\)
 3.591 \(\int \frac{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{5/2}} \, dx\)
 3.592 \(\int \frac{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{7/2}} \, dx\)
 3.593 \(\int \frac{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{9/2}} \, dx\)
 3.594 \(\int (d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^3 \, dx\)
 3.595 \(\int (d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^3 \, dx\)
 3.596 \(\int \sqrt{d \sec (e+f x)} (a+b \tan (e+f x))^3 \, dx\)
 3.597 \(\int \frac{(a+b \tan (e+f x))^3}{\sqrt{d \sec (e+f x)}} \, dx\)
 3.598 \(\int \frac{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{3/2}} \, dx\)
 3.599 \(\int \frac{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{5/2}} \, dx\)
 3.600 \(\int \frac{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{7/2}} \, dx\)
 3.601 \(\int \frac{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{9/2}} \, dx\)
 3.602 \(\int \frac{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{11/2}} \, dx\)
 3.603 \(\int \frac{(d \sec (e+f x))^{7/2}}{a+b \tan (e+f x)} \, dx\)
 3.604 \(\int \frac{(d \sec (e+f x))^{5/2}}{a+b \tan (e+f x)} \, dx\)
 3.605 \(\int \frac{(d \sec (e+f x))^{3/2}}{a+b \tan (e+f x)} \, dx\)
 3.606 \(\int \frac{\sqrt{d \sec (e+f x)}}{a+b \tan (e+f x)} \, dx\)
 3.607 \(\int \frac{1}{\sqrt{d \sec (e+f x)} (a+b \tan (e+f x))} \, dx\)
 3.608 \(\int \frac{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))} \, dx\)
 3.609 \(\int \frac{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))} \, dx\)
 3.610 \(\int \frac{(d \sec (e+f x))^{7/2}}{(a+b \tan (e+f x))^2} \, dx\)
 3.611 \(\int \frac{(d \sec (e+f x))^{5/2}}{(a+b \tan (e+f x))^2} \, dx\)
 3.612 \(\int \frac{(d \sec (e+f x))^{3/2}}{(a+b \tan (e+f x))^2} \, dx\)
 3.613 \(\int \frac{\sqrt{d \sec (e+f x)}}{(a+b \tan (e+f x))^2} \, dx\)
 3.614 \(\int \frac{1}{\sqrt{d \sec (e+f x)} (a+b \tan (e+f x))^2} \, dx\)
 3.615 \(\int \frac{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^2} \, dx\)
 3.616 \(\int \frac{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^2} \, dx\)
 3.617 \(\int \frac{(d \sec (e+f x))^{7/2}}{(a+b \tan (e+f x))^3} \, dx\)
 3.618 \(\int \frac{(d \sec (e+f x))^{5/2}}{(a+b \tan (e+f x))^3} \, dx\)
 3.619 \(\int \frac{(d \sec (e+f x))^{3/2}}{(a+b \tan (e+f x))^3} \, dx\)
 3.620 \(\int \frac{\sqrt{d \sec (e+f x)}}{(a+b \tan (e+f x))^3} \, dx\)
 3.621 \(\int \frac{1}{\sqrt{d \sec (e+f x)} (a+b \tan (e+f x))^3} \, dx\)
 3.622 \(\int \frac{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^3} \, dx\)
 3.623 \(\int \frac{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^3} \, dx\)
 3.624 \(\int (d \sec (e+f x))^{5/3} (a+b \tan (e+f x)) \, dx\)
 3.625 \(\int \sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x)) \, dx\)
 3.626 \(\int \frac{a+b \tan (e+f x)}{\sqrt [3]{d \sec (e+f x)}} \, dx\)
 3.627 \(\int \frac{a+b \tan (e+f x)}{(d \sec (e+f x))^{5/3}} \, dx\)
 3.628 \(\int (d \sec (e+f x))^{5/3} (a+b \tan (e+f x))^2 \, dx\)
 3.629 \(\int \sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))^2 \, dx\)
 3.630 \(\int \frac{(a+b \tan (e+f x))^2}{\sqrt [3]{d \sec (e+f x)}} \, dx\)
 3.631 \(\int \frac{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{5/3}} \, dx\)
 3.632 \(\int \frac{(d \sec (e+f x))^{5/3}}{a+b \tan (e+f x)} \, dx\)
 3.633 \(\int \frac{\sqrt [3]{d \sec (e+f x)}}{a+b \tan (e+f x)} \, dx\)
 3.634 \(\int \frac{1}{\sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))} \, dx\)
 3.635 \(\int \frac{1}{(d \sec (e+f x))^{5/3} (a+b \tan (e+f x))} \, dx\)
 3.636 \(\int \frac{(d \sec (e+f x))^{5/3}}{(a+b \tan (e+f x))^2} \, dx\)
 3.637 \(\int \frac{\sqrt [3]{d \sec (e+f x)}}{(a+b \tan (e+f x))^2} \, dx\)
 3.638 \(\int \frac{1}{\sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))^2} \, dx\)
 3.639 \(\int \frac{1}{(d \sec (e+f x))^{5/3} (a+b \tan (e+f x))^2} \, dx\)
 3.640 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^3 \, dx\)
 3.641 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^2 \, dx\)
 3.642 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x)) \, dx\)
 3.643 \(\int \frac{(d \sec (e+f x))^m}{a+b \tan (e+f x)} \, dx\)
 3.644 \(\int \frac{(d \sec (e+f x))^m}{(a+b \tan (e+f x))^2} \, dx\)
 3.645 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^n \, dx\)
 3.646 \(\int \sec ^6(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.647 \(\int \sec ^4(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.648 \(\int \sec ^2(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.649 \(\int \cos ^2(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.650 \(\int \cos ^4(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.651 \(\int \sec ^3(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.652 \(\int \sec (c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.653 \(\int \cos (c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.654 \(\int \cos ^3(c+d x) (a+b \tan (c+d x))^n \, dx\)
 3.655 \(\int (e \cos (c+d x))^{7/2} (a+i a \tan (c+d x)) \, dx\)
 3.656 \(\int (e \cos (c+d x))^{5/2} (a+i a \tan (c+d x)) \, dx\)
 3.657 \(\int (e \cos (c+d x))^{3/2} (a+i a \tan (c+d x)) \, dx\)
 3.658 \(\int \sqrt{e \cos (c+d x)} (a+i a \tan (c+d x)) \, dx\)
 3.659 \(\int \frac{a+i a \tan (c+d x)}{\sqrt{e \cos (c+d x)}} \, dx\)
 3.660 \(\int \frac{a+i a \tan (c+d x)}{(e \cos (c+d x))^{3/2}} \, dx\)
 3.661 \(\int \frac{a+i a \tan (c+d x)}{(e \cos (c+d x))^{5/2}} \, dx\)
 3.662 \(\int \frac{a+i a \tan (c+d x)}{(e \cos (c+d x))^{7/2}} \, dx\)
 3.663 \(\int \frac{(e \cos (c+d x))^{7/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.664 \(\int \frac{(e \cos (c+d x))^{5/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.665 \(\int \frac{(e \cos (c+d x))^{3/2}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.666 \(\int \frac{\sqrt{e \cos (c+d x)}}{(a+i a \tan (c+d x))^2} \, dx\)
 3.667 \(\int \frac{1}{\sqrt{e \cos (c+d x)} (a+i a \tan (c+d x))^2} \, dx\)
 3.668 \(\int \frac{1}{(e \cos (c+d x))^{3/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.669 \(\int \frac{1}{(e \cos (c+d x))^{5/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.670 \(\int \frac{1}{(e \cos (c+d x))^{7/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.671 \(\int \frac{1}{(e \cos (c+d x))^{9/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.672 \(\int \frac{1}{(e \cos (c+d x))^{11/2} (a+i a \tan (c+d x))^2} \, dx\)
 3.673 \(\int (e \cos (c+d x))^{7/2} \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.674 \(\int (e \cos (c+d x))^{5/2} \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.675 \(\int (e \cos (c+d x))^{3/2} \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.676 \(\int \sqrt{e \cos (c+d x)} \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.677 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{\sqrt{e \cos (c+d x)}} \, dx\)
 3.678 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{(e \cos (c+d x))^{3/2}} \, dx\)
 3.679 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{(e \cos (c+d x))^{5/2}} \, dx\)
 3.680 \(\int \frac{\sqrt{a+i a \tan (c+d x)}}{(e \cos (c+d x))^{7/2}} \, dx\)
 3.681 \(\int \frac{(e \cos (c+d x))^{5/2}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.682 \(\int \frac{(e \cos (c+d x))^{3/2}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.683 \(\int \frac{\sqrt{e \cos (c+d x)}}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.684 \(\int \frac{1}{\sqrt{e \cos (c+d x)} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.685 \(\int \frac{1}{(e \cos (c+d x))^{3/2} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.686 \(\int \frac{1}{(e \cos (c+d x))^{5/2} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.687 \(\int \frac{1}{(e \cos (c+d x))^{7/2} \sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.688 \(\int (e \cos (c+d x))^m (a+i a \tan (c+d x))^n \, dx\)
 3.689 \(\int (e \cos (c+d x))^m (a+i a \tan (c+d x))^2 \, dx\)
 3.690 \(\int (e \cos (c+d x))^m (a+i a \tan (c+d x)) \, dx\)
 3.691 \(\int \frac{(e \cos (c+d x))^m}{a+i a \tan (c+d x)} \, dx\)
 3.692 \(\int \frac{(e \cos (c+d x))^m}{(a+i a \tan (c+d x))^2} \, dx\)
 3.693 \(\int (e \cos (c+d x))^m \sqrt{a+i a \tan (c+d x)} \, dx\)
 3.694 \(\int \frac{(e \cos (c+d x))^m}{\sqrt{a+i a \tan (c+d x)}} \, dx\)
 3.695 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x))^3 \, dx\)
 3.696 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x))^2 \, dx\)
 3.697 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x)) \, dx\)
 3.698 \(\int \frac{(d \cos (e+f x))^m}{a+b \tan (e+f x)} \, dx\)
 3.699 \(\int \frac{(d \cos (e+f x))^m}{(a+b \tan (e+f x))^2} \, dx\)
 3.700 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x))^n \, dx\)