3.1 \(\int (a+a \sec (c+d x)) \tan ^9(c+d x) \, dx\)
 3.2 \(\int (a+a \sec (c+d x)) \tan ^7(c+d x) \, dx\)
 3.3 \(\int (a+a \sec (c+d x)) \tan ^5(c+d x) \, dx\)
 3.4 \(\int (a+a \sec (c+d x)) \tan ^3(c+d x) \, dx\)
 3.5 \(\int (a+a \sec (c+d x)) \tan (c+d x) \, dx\)
 3.6 \(\int \cot (c+d x) (a+a \sec (c+d x)) \, dx\)
 3.7 \(\int \cot ^3(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.8 \(\int \cot ^5(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.9 \(\int \cot ^7(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.10 \(\int (a+a \sec (c+d x)) \tan ^8(c+d x) \, dx\)
 3.11 \(\int (a+a \sec (c+d x)) \tan ^6(c+d x) \, dx\)
 3.12 \(\int (a+a \sec (c+d x)) \tan ^4(c+d x) \, dx\)
 3.13 \(\int (a+a \sec (c+d x)) \tan ^2(c+d x) \, dx\)
 3.14 \(\int \cot ^2(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.15 \(\int \cot ^4(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.16 \(\int \cot ^6(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.17 \(\int \cot ^8(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.18 \(\int \cot ^{10}(c+d x) (a+a \sec (c+d x)) \, dx\)
 3.19 \(\int (a+a \sec (c+d x))^2 \tan ^9(c+d x) \, dx\)
 3.20 \(\int (a+a \sec (c+d x))^2 \tan ^7(c+d x) \, dx\)
 3.21 \(\int (a+a \sec (c+d x))^2 \tan ^5(c+d x) \, dx\)
 3.22 \(\int (a+a \sec (c+d x))^2 \tan ^3(c+d x) \, dx\)
 3.23 \(\int (a+a \sec (c+d x))^2 \tan (c+d x) \, dx\)
 3.24 \(\int \cot (c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.25 \(\int \cot ^3(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.26 \(\int \cot ^5(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.27 \(\int \cot ^7(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.28 \(\int \cot ^9(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.29 \(\int (a+a \sec (c+d x))^2 \tan ^6(c+d x) \, dx\)
 3.30 \(\int (a+a \sec (c+d x))^2 \tan ^4(c+d x) \, dx\)
 3.31 \(\int (a+a \sec (c+d x))^2 \tan ^2(c+d x) \, dx\)
 3.32 \(\int \cot ^2(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.33 \(\int \cot ^4(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.34 \(\int \cot ^6(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.35 \(\int \cot ^8(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.36 \(\int \cot ^{10}(c+d x) (a+a \sec (c+d x))^2 \, dx\)
 3.37 \(\int (a+a \sec (c+d x))^3 \tan ^9(c+d x) \, dx\)
 3.38 \(\int (a+a \sec (c+d x))^3 \tan ^7(c+d x) \, dx\)
 3.39 \(\int (a+a \sec (c+d x))^3 \tan ^5(c+d x) \, dx\)
 3.40 \(\int (a+a \sec (c+d x))^3 \tan ^3(c+d x) \, dx\)
 3.41 \(\int (a+a \sec (c+d x))^3 \tan (c+d x) \, dx\)
 3.42 \(\int \cot (c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.43 \(\int \cot ^3(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.44 \(\int \cot ^5(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.45 \(\int \cot ^7(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.46 \(\int \cot ^9(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.47 \(\int (a+a \sec (c+d x))^3 \tan ^6(c+d x) \, dx\)
 3.48 \(\int (a+a \sec (c+d x))^3 \tan ^4(c+d x) \, dx\)
 3.49 \(\int (a+a \sec (c+d x))^3 \tan ^2(c+d x) \, dx\)
 3.50 \(\int \cot ^2(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.51 \(\int \cot ^4(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.52 \(\int \cot ^6(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.53 \(\int \cot ^8(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.54 \(\int \cot ^{10}(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.55 \(\int \cot ^{12}(c+d x) (a+a \sec (c+d x))^3 \, dx\)
 3.56 \(\int \frac{\tan ^9(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.57 \(\int \frac{\tan ^7(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.58 \(\int \frac{\tan ^5(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.59 \(\int \frac{\tan ^3(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.60 \(\int \frac{\tan (c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.61 \(\int \frac{\cot (c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.62 \(\int \frac{\cot ^3(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.63 \(\int \frac{\cot ^5(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.64 \(\int \frac{\tan ^8(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.65 \(\int \frac{\tan ^6(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.66 \(\int \frac{\tan ^4(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.67 \(\int \frac{\tan ^2(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.68 \(\int \frac{\cot ^2(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.69 \(\int \frac{\cot ^4(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.70 \(\int \frac{\cot ^6(c+d x)}{a+a \sec (c+d x)} \, dx\)
 3.71 \(\int \frac{\tan ^9(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.72 \(\int \frac{\tan ^7(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.73 \(\int \frac{\tan ^5(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.74 \(\int \frac{\tan ^3(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.75 \(\int \frac{\tan (c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.76 \(\int \frac{\cot (c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.77 \(\int \frac{\cot ^3(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.78 \(\int \frac{\cot ^5(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.79 \(\int \frac{\tan ^8(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.80 \(\int \frac{\tan ^6(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.81 \(\int \frac{\tan ^4(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.82 \(\int \frac{\tan ^2(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.83 \(\int \frac{\cot ^2(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.84 \(\int \frac{\cot ^4(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.85 \(\int \frac{\cot ^6(c+d x)}{(a+a \sec (c+d x))^2} \, dx\)
 3.86 \(\int \frac{\tan ^{11}(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.87 \(\int \frac{\tan ^9(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.88 \(\int \frac{\tan ^7(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.89 \(\int \frac{\tan ^5(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.90 \(\int \frac{\tan ^3(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.91 \(\int \frac{\tan (c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.92 \(\int \frac{\cot (c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.93 \(\int \frac{\cot ^3(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.94 \(\int \frac{\cot ^5(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.95 \(\int \frac{\tan ^{12}(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.96 \(\int \frac{\tan ^{10}(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.97 \(\int \frac{\tan ^8(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.98 \(\int \frac{\tan ^6(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.99 \(\int \frac{\tan ^4(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.100 \(\int \frac{\tan ^2(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.101 \(\int \frac{\cot ^2(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.102 \(\int \frac{\cot ^4(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.103 \(\int \frac{\cot ^6(c+d x)}{(a+a \sec (c+d x))^3} \, dx\)
 3.104 \(\int (a+a \sec (c+d x)) (e \tan (c+d x))^{5/2} \, dx\)
 3.105 \(\int (a+a \sec (c+d x)) (e \tan (c+d x))^{3/2} \, dx\)
 3.106 \(\int (a+a \sec (c+d x)) \sqrt{e \tan (c+d x)} \, dx\)
 3.107 \(\int \frac{a+a \sec (c+d x)}{\sqrt{e \tan (c+d x)}} \, dx\)
 3.108 \(\int \frac{a+a \sec (c+d x)}{(e \tan (c+d x))^{3/2}} \, dx\)
 3.109 \(\int \frac{a+a \sec (c+d x)}{(e \tan (c+d x))^{5/2}} \, dx\)
 3.110 \(\int \frac{a+a \sec (c+d x)}{(e \tan (c+d x))^{7/2}} \, dx\)
 3.111 \(\int (a+a \sec (c+d x))^2 (e \tan (c+d x))^{5/2} \, dx\)
 3.112 \(\int (a+a \sec (c+d x))^2 (e \tan (c+d x))^{3/2} \, dx\)
 3.113 \(\int (a+a \sec (c+d x))^2 \sqrt{e \tan (c+d x)} \, dx\)
 3.114 \(\int \frac{(a+a \sec (c+d x))^2}{\sqrt{e \tan (c+d x)}} \, dx\)
 3.115 \(\int \frac{(a+a \sec (c+d x))^2}{(e \tan (c+d x))^{3/2}} \, dx\)
 3.116 \(\int \frac{(a+a \sec (c+d x))^2}{(e \tan (c+d x))^{5/2}} \, dx\)
 3.117 \(\int \frac{(a+a \sec (c+d x))^2}{(e \tan (c+d x))^{7/2}} \, dx\)
 3.118 \(\int \frac{(e \tan (c+d x))^{11/2}}{a+a \sec (c+d x)} \, dx\)
 3.119 \(\int \frac{(e \tan (c+d x))^{9/2}}{a+a \sec (c+d x)} \, dx\)
 3.120 \(\int \frac{(e \tan (c+d x))^{7/2}}{a+a \sec (c+d x)} \, dx\)
 3.121 \(\int \frac{(e \tan (c+d x))^{5/2}}{a+a \sec (c+d x)} \, dx\)
 3.122 \(\int \frac{(e \tan (c+d x))^{3/2}}{a+a \sec (c+d x)} \, dx\)
 3.123 \(\int \frac{\sqrt{e \tan (c+d x)}}{a+a \sec (c+d x)} \, dx\)
 3.124 \(\int \frac{1}{(a+a \sec (c+d x)) \sqrt{e \tan (c+d x)}} \, dx\)
 3.125 \(\int \frac{1}{(a+a \sec (c+d x)) (e \tan (c+d x))^{3/2}} \, dx\)
 3.126 \(\int \frac{1}{(a+a \sec (c+d x)) (e \tan (c+d x))^{5/2}} \, dx\)
 3.127 \(\int \frac{(e \tan (c+d x))^{13/2}}{(a+a \sec (c+d x))^2} \, dx\)
 3.128 \(\int \frac{(e \tan (c+d x))^{11/2}}{(a+a \sec (c+d x))^2} \, dx\)
 3.129 \(\int \frac{(e \tan (c+d x))^{9/2}}{(a+a \sec (c+d x))^2} \, dx\)
 3.130 \(\int \frac{(e \tan (c+d x))^{7/2}}{(a+a \sec (c+d x))^2} \, dx\)
 3.131 \(\int \frac{(e \tan (c+d x))^{5/2}}{(a+a \sec (c+d x))^2} \, dx\)
 3.132 \(\int \frac{(e \tan (c+d x))^{3/2}}{(a+a \sec (c+d x))^2} \, dx\)
 3.133 \(\int \frac{\sqrt{e \tan (c+d x)}}{(a+a \sec (c+d x))^2} \, dx\)
 3.134 \(\int \frac{1}{(a+a \sec (c+d x))^2 \sqrt{e \tan (c+d x)}} \, dx\)
 3.135 \(\int \sqrt{a+a \sec (c+d x)} \tan ^5(c+d x) \, dx\)
 3.136 \(\int \sqrt{a+a \sec (c+d x)} \tan ^3(c+d x) \, dx\)
 3.137 \(\int \sqrt{a+a \sec (c+d x)} \tan (c+d x) \, dx\)
 3.138 \(\int \cot (c+d x) \sqrt{a+a \sec (c+d x)} \, dx\)
 3.139 \(\int \cot ^3(c+d x) \sqrt{a+a \sec (c+d x)} \, dx\)
 3.140 \(\int \cot ^5(c+d x) \sqrt{a+a \sec (c+d x)} \, dx\)
 3.141 \(\int \sqrt{a+a \sec (c+d x)} \tan ^6(c+d x) \, dx\)
 3.142 \(\int \sqrt{a+a \sec (c+d x)} \tan ^4(c+d x) \, dx\)
 3.143 \(\int \sqrt{a+a \sec (c+d x)} \tan ^2(c+d x) \, dx\)
 3.144 \(\int \cot ^2(c+d x) \sqrt{a+a \sec (c+d x)} \, dx\)
 3.145 \(\int \cot ^4(c+d x) \sqrt{a+a \sec (c+d x)} \, dx\)
 3.146 \(\int \cot ^6(c+d x) \sqrt{a+a \sec (c+d x)} \, dx\)
 3.147 \(\int (a+a \sec (c+d x))^{3/2} \tan ^5(c+d x) \, dx\)
 3.148 \(\int (a+a \sec (c+d x))^{3/2} \tan ^3(c+d x) \, dx\)
 3.149 \(\int (a+a \sec (c+d x))^{3/2} \tan (c+d x) \, dx\)
 3.150 \(\int \cot (c+d x) (a+a \sec (c+d x))^{3/2} \, dx\)
 3.151 \(\int \cot ^3(c+d x) (a+a \sec (c+d x))^{3/2} \, dx\)
 3.152 \(\int \cot ^5(c+d x) (a+a \sec (c+d x))^{3/2} \, dx\)
 3.153 \(\int (a+a \sec (c+d x))^{3/2} \tan ^6(c+d x) \, dx\)
 3.154 \(\int (a+a \sec (c+d x))^{3/2} \tan ^4(c+d x) \, dx\)
 3.155 \(\int (a+a \sec (c+d x))^{3/2} \tan ^2(c+d x) \, dx\)
 3.156 \(\int \cot ^2(c+d x) (a+a \sec (c+d x))^{3/2} \, dx\)
 3.157 \(\int \cot ^4(c+d x) (a+a \sec (c+d x))^{3/2} \, dx\)
 3.158 \(\int \cot ^6(c+d x) (a+a \sec (c+d x))^{3/2} \, dx\)
 3.159 \(\int (a+a \sec (c+d x))^{5/2} \tan ^5(c+d x) \, dx\)
 3.160 \(\int (a+a \sec (c+d x))^{5/2} \tan ^3(c+d x) \, dx\)
 3.161 \(\int (a+a \sec (c+d x))^{5/2} \tan (c+d x) \, dx\)
 3.162 \(\int \cot (c+d x) (a+a \sec (c+d x))^{5/2} \, dx\)
 3.163 \(\int \cot ^3(c+d x) (a+a \sec (c+d x))^{5/2} \, dx\)
 3.164 \(\int \cot ^5(c+d x) (a+a \sec (c+d x))^{5/2} \, dx\)
 3.165 \(\int (a+a \sec (c+d x))^{5/2} \tan ^6(c+d x) \, dx\)
 3.166 \(\int (a+a \sec (c+d x))^{5/2} \tan ^4(c+d x) \, dx\)
 3.167 \(\int (a+a \sec (c+d x))^{5/2} \tan ^2(c+d x) \, dx\)
 3.168 \(\int \cot ^2(c+d x) (a+a \sec (c+d x))^{5/2} \, dx\)
 3.169 \(\int \cot ^4(c+d x) (a+a \sec (c+d x))^{5/2} \, dx\)
 3.170 \(\int \cot ^6(c+d x) (a+a \sec (c+d x))^{5/2} \, dx\)
 3.171 \(\int \frac{\tan ^5(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.172 \(\int \frac{\tan ^3(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.173 \(\int \frac{\tan (c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.174 \(\int \frac{\cot (c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.175 \(\int \frac{\cot ^3(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.176 \(\int \frac{\cot ^5(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.177 \(\int \frac{\tan ^6(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.178 \(\int \frac{\tan ^4(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.179 \(\int \frac{\tan ^2(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.180 \(\int \frac{\cot ^2(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.181 \(\int \frac{\cot ^4(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.182 \(\int \frac{\cot ^6(c+d x)}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.183 \(\int \frac{\tan ^5(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.184 \(\int \frac{\tan ^3(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.185 \(\int \frac{\tan (c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.186 \(\int \frac{\cot (c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.187 \(\int \frac{\cot ^3(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.188 \(\int \frac{\cot ^5(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.189 \(\int \frac{\tan ^6(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.190 \(\int \frac{\tan ^4(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.191 \(\int \frac{\tan ^2(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.192 \(\int \frac{\cot ^2(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.193 \(\int \frac{\cot ^4(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.194 \(\int \frac{\cot ^6(c+d x)}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.195 \(\int \frac{\tan ^5(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.196 \(\int \frac{\tan ^3(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.197 \(\int \frac{\tan (c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.198 \(\int \frac{\cot (c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.199 \(\int \frac{\cot ^3(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.200 \(\int \frac{\cot ^5(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.201 \(\int \frac{\tan ^6(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.202 \(\int \frac{\tan ^4(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.203 \(\int \frac{\tan ^2(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.204 \(\int \frac{\cot ^2(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.205 \(\int \frac{\cot ^4(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.206 \(\int \frac{\cot ^6(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\)
 3.207 \(\int \frac{\tan ^2(e+f x)}{(a+a \sec (e+f x))^{9/2}} \, dx\)
 3.208 \(\int (a+a \sec (c+d x))^n (e \tan (c+d x))^m \, dx\)
 3.209 \(\int (a+a \sec (c+d x))^3 (e \tan (c+d x))^m \, dx\)
 3.210 \(\int (a+a \sec (c+d x))^2 (e \tan (c+d x))^m \, dx\)
 3.211 \(\int (a+a \sec (c+d x)) (e \tan (c+d x))^m \, dx\)
 3.212 \(\int \frac{(e \tan (c+d x))^m}{a+a \sec (c+d x)} \, dx\)
 3.213 \(\int \frac{(e \tan (c+d x))^m}{(a+a \sec (c+d x))^2} \, dx\)
 3.214 \(\int \frac{(e \tan (c+d x))^m}{(a+a \sec (c+d x))^3} \, dx\)
 3.215 \(\int (a+a \sec (c+d x))^{3/2} (e \tan (c+d x))^m \, dx\)
 3.216 \(\int \sqrt{a+a \sec (c+d x)} (e \tan (c+d x))^m \, dx\)
 3.217 \(\int \frac{(e \tan (c+d x))^m}{\sqrt{a+a \sec (c+d x)}} \, dx\)
 3.218 \(\int \frac{(e \tan (c+d x))^m}{(a+a \sec (c+d x))^{3/2}} \, dx\)
 3.219 \(\int (a+a \sec (c+d x))^n \tan ^7(c+d x) \, dx\)
 3.220 \(\int (a+a \sec (c+d x))^n \tan ^5(c+d x) \, dx\)
 3.221 \(\int (a+a \sec (c+d x))^n \tan ^3(c+d x) \, dx\)
 3.222 \(\int (a+a \sec (c+d x))^n \tan (c+d x) \, dx\)
 3.223 \(\int \cot (c+d x) (a+a \sec (c+d x))^n \, dx\)
 3.224 \(\int \cot ^3(c+d x) (a+a \sec (c+d x))^n \, dx\)
 3.225 \(\int (a+a \sec (c+d x))^n \tan ^4(c+d x) \, dx\)
 3.226 \(\int (a+a \sec (c+d x))^n \tan ^2(c+d x) \, dx\)
 3.227 \(\int \cot ^2(c+d x) (a+a \sec (c+d x))^n \, dx\)
 3.228 \(\int \cot ^4(c+d x) (a+a \sec (c+d x))^n \, dx\)
 3.229 \(\int (a+a \sec (c+d x))^n \tan ^{\frac{3}{2}}(c+d x) \, dx\)
 3.230 \(\int (a+a \sec (c+d x))^n \sqrt{\tan (c+d x)} \, dx\)
 3.231 \(\int \frac{(a+a \sec (c+d x))^n}{\sqrt{\tan (c+d x)}} \, dx\)
 3.232 \(\int \frac{(a+a \sec (c+d x))^n}{\tan ^{\frac{3}{2}}(c+d x)} \, dx\)
 3.233 \(\int (e \cot (c+d x))^{5/2} (a+a \sec (c+d x)) \, dx\)
 3.234 \(\int (e \cot (c+d x))^{3/2} (a+a \sec (c+d x)) \, dx\)
 3.235 \(\int \sqrt{e \cot (c+d x)} (a+a \sec (c+d x)) \, dx\)
 3.236 \(\int \frac{a+a \sec (c+d x)}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.237 \(\int \frac{a+a \sec (c+d x)}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.238 \(\int (e \cot (c+d x))^{5/2} (a+a \sec (c+d x))^2 \, dx\)
 3.239 \(\int (e \cot (c+d x))^{3/2} (a+a \sec (c+d x))^2 \, dx\)
 3.240 \(\int \sqrt{e \cot (c+d x)} (a+a \sec (c+d x))^2 \, dx\)
 3.241 \(\int \frac{(a+a \sec (c+d x))^2}{\sqrt{e \cot (c+d x)}} \, dx\)
 3.242 \(\int \frac{(a+a \sec (c+d x))^2}{(e \cot (c+d x))^{3/2}} \, dx\)
 3.243 \(\int \frac{(e \cot (c+d x))^{3/2}}{a+a \sec (c+d x)} \, dx\)
 3.244 \(\int \frac{\sqrt{e \cot (c+d x)}}{a+a \sec (c+d x)} \, dx\)
 3.245 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+a \sec (c+d x))} \, dx\)
 3.246 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+a \sec (c+d x))} \, dx\)
 3.247 \(\int \frac{1}{(e \cot (c+d x))^{5/2} (a+a \sec (c+d x))} \, dx\)
 3.248 \(\int \frac{1}{(e \cot (c+d x))^{7/2} (a+a \sec (c+d x))} \, dx\)
 3.249 \(\int \frac{1}{(e \cot (c+d x))^{9/2} (a+a \sec (c+d x))} \, dx\)
 3.250 \(\int \frac{1}{\sqrt{e \cot (c+d x)} (a+a \sec (c+d x))^2} \, dx\)
 3.251 \(\int \frac{1}{(e \cot (c+d x))^{3/2} (a+a \sec (c+d x))^2} \, dx\)
 3.252 \(\int \frac{1}{(e \cot (c+d x))^{5/2} (a+a \sec (c+d x))^2} \, dx\)
 3.253 \(\int \frac{1}{(e \cot (c+d x))^{7/2} (a+a \sec (c+d x))^2} \, dx\)
 3.254 \(\int \frac{1}{(e \cot (c+d x))^{9/2} (a+a \sec (c+d x))^2} \, dx\)
 3.255 \(\int \frac{1}{(e \cot (c+d x))^{11/2} (a+a \sec (c+d x))^2} \, dx\)
 3.256 \(\int (a+b \sec (c+d x)) \tan ^7(c+d x) \, dx\)
 3.257 \(\int (a+b \sec (c+d x)) \tan ^5(c+d x) \, dx\)
 3.258 \(\int (a+b \sec (c+d x)) \tan ^3(c+d x) \, dx\)
 3.259 \(\int (a+b \sec (c+d x)) \tan (c+d x) \, dx\)
 3.260 \(\int \cot (c+d x) (a+b \sec (c+d x)) \, dx\)
 3.261 \(\int \cot ^3(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.262 \(\int \cot ^5(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.263 \(\int \cot ^7(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.264 \(\int (a+b \sec (c+d x)) \tan ^6(c+d x) \, dx\)
 3.265 \(\int (a+b \sec (c+d x)) \tan ^4(c+d x) \, dx\)
 3.266 \(\int (a+b \sec (c+d x)) \tan ^2(c+d x) \, dx\)
 3.267 \(\int \cot ^2(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.268 \(\int \cot ^4(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.269 \(\int \cot ^6(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.270 \(\int \cot ^8(c+d x) (a+b \sec (c+d x)) \, dx\)
 3.271 \(\int (a+b \sec (c+d x))^2 \tan ^9(c+d x) \, dx\)
 3.272 \(\int (a+b \sec (c+d x))^2 \tan ^7(c+d x) \, dx\)
 3.273 \(\int (a+b \sec (c+d x))^2 \tan ^5(c+d x) \, dx\)
 3.274 \(\int (a+b \sec (c+d x))^2 \tan ^3(c+d x) \, dx\)
 3.275 \(\int (a+b \sec (c+d x))^2 \tan (c+d x) \, dx\)
 3.276 \(\int \cot (c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.277 \(\int \cot ^3(c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.278 \(\int \cot ^5(c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.279 \(\int (a+b \sec (c+d x))^2 \tan ^6(c+d x) \, dx\)
 3.280 \(\int (a+b \sec (c+d x))^2 \tan ^4(c+d x) \, dx\)
 3.281 \(\int (a+b \sec (c+d x))^2 \tan ^2(c+d x) \, dx\)
 3.282 \(\int \cot ^2(c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.283 \(\int \cot ^4(c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.284 \(\int \cot ^6(c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.285 \(\int \cot ^8(c+d x) (a+b \sec (c+d x))^2 \, dx\)
 3.286 \(\int \frac{\tan ^9(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.287 \(\int \frac{\tan ^7(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.288 \(\int \frac{\tan ^5(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.289 \(\int \frac{\tan ^3(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.290 \(\int \frac{\tan (c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.291 \(\int \frac{\cot (c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.292 \(\int \frac{\cot ^3(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.293 \(\int \frac{\cot ^5(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.294 \(\int \frac{\tan ^6(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.295 \(\int \frac{\tan ^4(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.296 \(\int \frac{\tan ^2(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.297 \(\int \frac{\cot ^2(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.298 \(\int \frac{\cot ^4(c+d x)}{a+b \sec (c+d x)} \, dx\)
 3.299 \(\int \frac{\tan ^9(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.300 \(\int \frac{\tan ^7(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.301 \(\int \frac{\tan ^5(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.302 \(\int \frac{\tan ^3(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.303 \(\int \frac{\tan (c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.304 \(\int \frac{\cot (c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.305 \(\int \frac{\cot ^3(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.306 \(\int \frac{\cot ^5(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.307 \(\int \frac{\tan ^6(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.308 \(\int \frac{\tan ^4(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.309 \(\int \frac{\tan ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.310 \(\int \frac{\cot ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.311 \(\int \frac{\cot ^4(c+d x)}{(a+b \sec (c+d x))^2} \, dx\)
 3.312 \(\int \frac{(e \tan (c+d x))^{5/2}}{a+b \sec (c+d x)} \, dx\)
 3.313 \(\int \frac{(e \tan (c+d x))^{3/2}}{a+b \sec (c+d x)} \, dx\)
 3.314 \(\int \frac{\sqrt{e \tan (c+d x)}}{a+b \sec (c+d x)} \, dx\)
 3.315 \(\int \frac{1}{(a+b \sec (c+d x)) \sqrt{e \tan (c+d x)}} \, dx\)
 3.316 \(\int \frac{1}{(a+b \sec (c+d x)) (e \tan (c+d x))^{3/2}} \, dx\)
 3.317 \(\int \frac{1}{(a+b \sec (c+d x)) (e \tan (c+d x))^{5/2}} \, dx\)
 3.318 \(\int \sqrt{a+b \sec (c+d x)} \tan ^5(c+d x) \, dx\)
 3.319 \(\int \sqrt{a+b \sec (c+d x)} \tan ^3(c+d x) \, dx\)
 3.320 \(\int \sqrt{a+b \sec (c+d x)} \tan (c+d x) \, dx\)
 3.321 \(\int \cot (c+d x) \sqrt{a+b \sec (c+d x)} \, dx\)
 3.322 \(\int \cot ^3(c+d x) \sqrt{a+b \sec (c+d x)} \, dx\)
 3.323 \(\int \sqrt{a+b \sec (c+d x)} \tan ^2(c+d x) \, dx\)
 3.324 \(\int \sqrt{a+b \sec (c+d x)} \, dx\)
 3.325 \(\int \cot ^2(c+d x) \sqrt{a+b \sec (c+d x)} \, dx\)
 3.326 \(\int \frac{\tan ^5(c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.327 \(\int \frac{\tan ^3(c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.328 \(\int \frac{\tan (c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.329 \(\int \frac{\cot (c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.330 \(\int \frac{\cot ^3(c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.331 \(\int \frac{\tan ^4(c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.332 \(\int \frac{\tan ^2(c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.333 \(\int \frac{1}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.334 \(\int \frac{\cot ^2(c+d x)}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.335 \(\int \frac{\tan ^5(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.336 \(\int \frac{\tan ^3(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.337 \(\int \frac{\tan (c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.338 \(\int \frac{\cot (c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.339 \(\int \frac{\cot ^3(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.340 \(\int \frac{\tan ^4(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.341 \(\int \frac{\tan ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.342 \(\int \frac{1}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.343 \(\int \frac{\cot ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.344 \(\int (a+b \sec (e+f x))^3 (d \tan (e+f x))^n \, dx\)
 3.345 \(\int (a+b \sec (e+f x))^2 (d \tan (e+f x))^n \, dx\)
 3.346 \(\int (a+b \sec (e+f x)) (d \tan (e+f x))^n \, dx\)
 3.347 \(\int \frac{(d \tan (e+f x))^n}{a+b \sec (e+f x)} \, dx\)
 3.348 \(\int (a+b \sec (c+d x))^{3/2} (e \tan (c+d x))^m \, dx\)
 3.349 \(\int \sqrt{a+b \sec (c+d x)} (e \tan (c+d x))^m \, dx\)
 3.350 \(\int \frac{(e \tan (c+d x))^m}{\sqrt{a+b \sec (c+d x)}} \, dx\)
 3.351 \(\int \frac{(e \tan (c+d x))^m}{(a+b \sec (c+d x))^{3/2}} \, dx\)
 3.352 \(\int (a+b \sec (c+d x))^n (e \tan (c+d x))^m \, dx\)
 3.353 \(\int (a+b \sec (c+d x))^n \tan ^5(c+d x) \, dx\)
 3.354 \(\int (a+b \sec (c+d x))^n \tan ^3(c+d x) \, dx\)
 3.355 \(\int (a+b \sec (c+d x))^n \tan (c+d x) \, dx\)
 3.356 \(\int \cot (c+d x) (a+b \sec (c+d x))^n \, dx\)
 3.357 \(\int \cot ^3(c+d x) (a+b \sec (c+d x))^n \, dx\)
 3.358 \(\int (a+b \sec (c+d x))^n \tan ^4(c+d x) \, dx\)
 3.359 \(\int (a+b \sec (c+d x))^n \tan ^2(c+d x) \, dx\)
 3.360 \(\int \cot ^2(c+d x) (a+b \sec (c+d x))^n \, dx\)
 3.361 \(\int \cot ^4(c+d x) (a+b \sec (c+d x))^n \, dx\)
 3.362 \(\int (a+b \sec (c+d x))^n \tan ^{\frac{3}{2}}(c+d x) \, dx\)
 3.363 \(\int (a+b \sec (c+d x))^n \sqrt{\tan (c+d x)} \, dx\)
 3.364 \(\int \frac{(a+b \sec (c+d x))^n}{\sqrt{\tan (c+d x)}} \, dx\)
 3.365 \(\int \frac{(a+b \sec (c+d x))^n}{\tan ^{\frac{3}{2}}(c+d x)} \, dx\)