3.1 \(\int \tan (c+d x) \, dx\)
 3.2 \(\int \tan ^2(c+d x) \, dx\)
 3.3 \(\int \tan ^3(c+d x) \, dx\)
 3.4 \(\int \tan ^4(c+d x) \, dx\)
 3.5 \(\int \tan ^5(c+d x) \, dx\)
 3.6 \(\int \tan ^6(c+d x) \, dx\)
 3.7 \(\int \tan ^7(c+d x) \, dx\)
 3.8 \(\int \tan ^8(c+d x) \, dx\)
 3.9 \(\int (b \tan (c+d x))^{7/2} \, dx\)
 3.10 \(\int (b \tan (c+d x))^{5/2} \, dx\)
 3.11 \(\int (b \tan (c+d x))^{3/2} \, dx\)
 3.12 \(\int \sqrt {b \tan (c+d x)} \, dx\)
 3.13 \(\int \frac {1}{\sqrt {b \tan (c+d x)}} \, dx\)
 3.14 \(\int \frac {1}{(b \tan (c+d x))^{3/2}} \, dx\)
 3.15 \(\int \frac {1}{(b \tan (c+d x))^{5/2}} \, dx\)
 3.16 \(\int \frac {1}{(b \tan (c+d x))^{7/2}} \, dx\)
 3.17 \(\int (b \tan (c+d x))^{4/3} \, dx\)
 3.18 \(\int (b \tan (c+d x))^{2/3} \, dx\)
 3.19 \(\int \sqrt [3]{b \tan (c+d x)} \, dx\)
 3.20 \(\int \frac {1}{\sqrt [3]{b \tan (c+d x)}} \, dx\)
 3.21 \(\int \frac {1}{(b \tan (c+d x))^{2/3}} \, dx\)
 3.22 \(\int \frac {1}{(b \tan (c+d x))^{4/3}} \, dx\)
 3.23 \(\int (b \tan (c+d x))^n \, dx\)
 3.24 \(\int (b \tan ^2(c+d x))^{5/2} \, dx\)
 3.25 \(\int (b \tan ^2(c+d x))^{3/2} \, dx\)
 3.26 \(\int \sqrt {b \tan ^2(c+d x)} \, dx\)
 3.27 \(\int \frac {1}{\sqrt {b \tan ^2(c+d x)}} \, dx\)
 3.28 \(\int \frac {1}{(b \tan ^2(c+d x))^{3/2}} \, dx\)
 3.29 \(\int \frac {1}{(b \tan ^2(c+d x))^{5/2}} \, dx\)
 3.30 \(\int (b \tan ^3(c+d x))^{5/2} \, dx\)
 3.31 \(\int (b \tan ^3(c+d x))^{3/2} \, dx\)
 3.32 \(\int \sqrt {b \tan ^3(c+d x)} \, dx\)
 3.33 \(\int \frac {1}{\sqrt {b \tan ^3(c+d x)}} \, dx\)
 3.34 \(\int \frac {1}{(b \tan ^3(c+d x))^{3/2}} \, dx\)
 3.35 \(\int \frac {1}{(b \tan ^3(c+d x))^{5/2}} \, dx\)
 3.36 \(\int (b \tan ^4(c+d x))^{5/2} \, dx\)
 3.37 \(\int (b \tan ^4(c+d x))^{3/2} \, dx\)
 3.38 \(\int \sqrt {b \tan ^4(c+d x)} \, dx\)
 3.39 \(\int \frac {1}{\sqrt {b \tan ^4(c+d x)}} \, dx\)
 3.40 \(\int \frac {1}{(b \tan ^4(c+d x))^{3/2}} \, dx\)
 3.41 \(\int \frac {1}{(b \tan ^4(c+d x))^{5/2}} \, dx\)
 3.42 \(\int (b \tan ^p(c+d x))^n \, dx\)
 3.43 \(\int (b \tan ^2(c+d x))^n \, dx\)
 3.44 \(\int (b \tan ^3(c+d x))^n \, dx\)
 3.45 \(\int (b \tan ^4(c+d x))^n \, dx\)
 3.46 \(\int (b \tan ^p(c+d x))^{5/2} \, dx\)
 3.47 \(\int (b \tan ^p(c+d x))^{3/2} \, dx\)
 3.48 \(\int \sqrt {b \tan ^p(c+d x)} \, dx\)
 3.49 \(\int \frac {1}{\sqrt {b \tan ^p(c+d x)}} \, dx\)
 3.50 \(\int \frac {1}{(b \tan ^p(c+d x))^{3/2}} \, dx\)
 3.51 \(\int \frac {1}{(b \tan ^p(c+d x))^{5/2}} \, dx\)
 3.52 \(\int (b \tan ^p(c+d x))^{\frac {1}{p}} \, dx\)
 3.53 \(\int (a (b \tan (c+d x))^p)^n \, dx\)
 3.54 \(\int \sin ^4(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.55 \(\int \sin ^2(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.56 \(\int \csc ^2(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.57 \(\int \csc ^4(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.58 \(\int \csc ^6(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.59 \(\int \sin ^3(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.60 \(\int \sin (a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.61 \(\int \csc (a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.62 \(\int \csc ^3(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.63 \(\int \csc ^5(a+b x) \sqrt {d \tan (a+b x)} \, dx\)
 3.64 \(\int \sin ^4(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.65 \(\int \sin ^2(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.66 \(\int \csc ^2(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.67 \(\int \csc ^4(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.68 \(\int \csc ^6(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.69 \(\int \sin ^3(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.70 \(\int \sin (a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.71 \(\int \csc (a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.72 \(\int \csc ^3(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.73 \(\int \sin ^4(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.74 \(\int \sin ^2(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.75 \(\int \csc ^2(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.76 \(\int \csc ^4(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.77 \(\int \csc ^6(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.78 \(\int \sin ^3(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.79 \(\int \sin (a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.80 \(\int \csc (a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.81 \(\int \csc ^3(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.82 \(\int \csc ^5(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.83 \(\int \csc ^7(a+b x) (d \tan (a+b x))^{5/2} \, dx\)
 3.84 \(\int \frac {\sin ^4(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.85 \(\int \frac {\sin ^2(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.86 \(\int \frac {\csc ^2(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.87 \(\int \frac {\csc ^4(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.88 \(\int \frac {\csc ^6(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.89 \(\int \frac {\sin ^5(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.90 \(\int \frac {\sin ^3(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.91 \(\int \frac {\sin (a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.92 \(\int \frac {\csc (a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.93 \(\int \frac {\csc ^3(a+b x)}{\sqrt {d \tan (a+b x)}} \, dx\)
 3.94 \(\int \frac {\sin ^4(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.95 \(\int \frac {\sin ^2(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.96 \(\int \frac {\csc ^2(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.97 \(\int \frac {\csc ^4(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.98 \(\int \frac {\csc ^6(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.99 \(\int \frac {\sin ^3(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.100 \(\int \frac {\sin (a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.101 \(\int \frac {\csc (a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.102 \(\int \frac {\csc ^3(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.103 \(\int \frac {\sin ^4(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.104 \(\int \frac {\sin ^2(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.105 \(\int \frac {\csc ^2(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.106 \(\int \frac {\csc ^4(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.107 \(\int \frac {\csc ^6(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.108 \(\int \frac {\sin ^7(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.109 \(\int \frac {\sin ^5(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.110 \(\int \frac {\sin ^3(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.111 \(\int \frac {\sin (a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.112 \(\int \frac {\csc (a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.113 \(\int \frac {\csc ^3(a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.114 \(\int (a \sin (e+f x))^{5/2} \sqrt {b \tan (e+f x)} \, dx\)
 3.115 \(\int (a \sin (e+f x))^{3/2} \sqrt {b \tan (e+f x)} \, dx\)
 3.116 \(\int \sqrt {a \sin (e+f x)} \sqrt {b \tan (e+f x)} \, dx\)
 3.117 \(\int \frac {\sqrt {b \tan (e+f x)}}{\sqrt {a \sin (e+f x)}} \, dx\)
 3.118 \(\int \frac {\sqrt {b \tan (e+f x)}}{(a \sin (e+f x))^{3/2}} \, dx\)
 3.119 \(\int \frac {\sqrt {b \tan (e+f x)}}{(a \sin (e+f x))^{5/2}} \, dx\)
 3.120 \(\int (a \sin (e+f x))^{5/2} (b \tan (e+f x))^{3/2} \, dx\)
 3.121 \(\int (a \sin (e+f x))^{3/2} (b \tan (e+f x))^{3/2} \, dx\)
 3.122 \(\int \sqrt {a \sin (e+f x)} (b \tan (e+f x))^{3/2} \, dx\)
 3.123 \(\int \frac {(b \tan (e+f x))^{3/2}}{\sqrt {a \sin (e+f x)}} \, dx\)
 3.124 \(\int \frac {(b \tan (e+f x))^{3/2}}{(a \sin (e+f x))^{3/2}} \, dx\)
 3.125 \(\int \frac {(b \tan (e+f x))^{3/2}}{(a \sin (e+f x))^{5/2}} \, dx\)
 3.126 \(\int \frac {(a \sin (e+f x))^{9/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.127 \(\int \frac {(a \sin (e+f x))^{7/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.128 \(\int \frac {(a \sin (e+f x))^{5/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.129 \(\int \frac {(a \sin (e+f x))^{3/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.130 \(\int \frac {\sqrt {a \sin (e+f x)}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.131 \(\int \frac {1}{\sqrt {a \sin (e+f x)} \sqrt {b \tan (e+f x)}} \, dx\)
 3.132 \(\int \frac {1}{(a \sin (e+f x))^{3/2} \sqrt {b \tan (e+f x)}} \, dx\)
 3.133 \(\int \frac {1}{(a \sin (e+f x))^{5/2} \sqrt {b \tan (e+f x)}} \, dx\)
 3.134 \(\int \frac {(a \sin (e+f x))^{13/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.135 \(\int \frac {(a \sin (e+f x))^{9/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.136 \(\int \frac {(a \sin (e+f x))^{5/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.137 \(\int \frac {\sqrt {a \sin (e+f x)}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.138 \(\int \frac {1}{(a \sin (e+f x))^{3/2} (b \tan (e+f x))^{3/2}} \, dx\)
 3.139 \(\int \frac {(a \sin (e+f x))^{11/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.140 \(\int \frac {(a \sin (e+f x))^{7/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.141 \(\int \frac {(a \sin (e+f x))^{3/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.142 \(\int \frac {1}{\sqrt {a \sin (e+f x)} (b \tan (e+f x))^{3/2}} \, dx\)
 3.143 \(\int \frac {1}{(a \sin (e+f x))^{5/2} (b \tan (e+f x))^{3/2}} \, dx\)
 3.144 \(\int \frac {1}{(a \sin (e+f x))^{9/2} (b \tan (e+f x))^{3/2}} \, dx\)
 3.145 \(\int (b \sin (e+f x))^{4/3} \sqrt {d \tan (e+f x)} \, dx\)
 3.146 \(\int \sqrt [3]{b \sin (e+f x)} \sqrt {d \tan (e+f x)} \, dx\)
 3.147 \(\int \frac {\sqrt {d \tan (e+f x)}}{\sqrt [3]{b \sin (e+f x)}} \, dx\)
 3.148 \(\int \frac {\sqrt {d \tan (e+f x)}}{(b \sin (e+f x))^{4/3}} \, dx\)
 3.149 \(\int (b \sin (e+f x))^{4/3} (d \tan (e+f x))^{3/2} \, dx\)
 3.150 \(\int \sqrt [3]{b \sin (e+f x)} (d \tan (e+f x))^{3/2} \, dx\)
 3.151 \(\int \frac {(d \tan (e+f x))^{3/2}}{\sqrt [3]{b \sin (e+f x)}} \, dx\)
 3.152 \(\int \frac {(d \tan (e+f x))^{3/2}}{(b \sin (e+f x))^{4/3}} \, dx\)
 3.153 \(\int \sqrt {b \sin (e+f x)} (d \tan (e+f x))^{4/3} \, dx\)
 3.154 \(\int \sqrt {b \sin (e+f x)} \sqrt [3]{d \tan (e+f x)} \, dx\)
 3.155 \(\int \frac {\sqrt {b \sin (e+f x)}}{\sqrt [3]{d \tan (e+f x)}} \, dx\)
 3.156 \(\int \frac {\sqrt {b \sin (e+f x)}}{(d \tan (e+f x))^{4/3}} \, dx\)
 3.157 \(\int (b \sin (e+f x))^{3/2} (d \tan (e+f x))^{4/3} \, dx\)
 3.158 \(\int (b \sin (e+f x))^{3/2} \sqrt [3]{d \tan (e+f x)} \, dx\)
 3.159 \(\int \frac {(b \sin (e+f x))^{3/2}}{\sqrt [3]{d \tan (e+f x)}} \, dx\)
 3.160 \(\int \frac {(b \sin (e+f x))^{3/2}}{(d \tan (e+f x))^{4/3}} \, dx\)
 3.161 \(\int (a \sin (e+f x))^m \tan ^3(e+f x) \, dx\)
 3.162 \(\int (a \sin (e+f x))^m \tan (e+f x) \, dx\)
 3.163 \(\int \cot (e+f x) (a \sin (e+f x))^m \, dx\)
 3.164 \(\int \cot ^3(e+f x) (a \sin (e+f x))^m \, dx\)
 3.165 \(\int \cot ^5(e+f x) (a \sin (e+f x))^m \, dx\)
 3.166 \(\int (a \sin (e+f x))^m \tan ^4(e+f x) \, dx\)
 3.167 \(\int (a \sin (e+f x))^m \tan ^2(e+f x) \, dx\)
 3.168 \(\int \cot ^2(e+f x) (a \sin (e+f x))^m \, dx\)
 3.169 \(\int \cot ^4(e+f x) (a \sin (e+f x))^m \, dx\)
 3.170 \(\int (a \sin (e+f x))^m (b \tan (e+f x))^{3/2} \, dx\)
 3.171 \(\int (a \sin (e+f x))^m \sqrt {b \tan (e+f x)} \, dx\)
 3.172 \(\int \frac {(a \sin (e+f x))^m}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.173 \(\int \frac {(a \sin (e+f x))^m}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.174 \(\int (a \sin (e+f x))^m (b \tan (e+f x))^n \, dx\)
 3.175 \(\int \sin ^4(e+f x) (b \tan (e+f x))^n \, dx\)
 3.176 \(\int \sin ^2(e+f x) (b \tan (e+f x))^n \, dx\)
 3.177 \(\int \csc ^2(e+f x) (b \tan (e+f x))^n \, dx\)
 3.178 \(\int \csc ^4(e+f x) (b \tan (e+f x))^n \, dx\)
 3.179 \(\int \csc ^6(e+f x) (b \tan (e+f x))^n \, dx\)
 3.180 \(\int \sin ^3(e+f x) (b \tan (e+f x))^n \, dx\)
 3.181 \(\int \sin (e+f x) (b \tan (e+f x))^n \, dx\)
 3.182 \(\int \csc (e+f x) (b \tan (e+f x))^n \, dx\)
 3.183 \(\int \csc ^3(e+f x) (b \tan (e+f x))^n \, dx\)
 3.184 \(\int \csc ^5(e+f x) (b \tan (e+f x))^n \, dx\)
 3.185 \(\int (a \sin (e+f x))^{3/2} (b \tan (e+f x))^n \, dx\)
 3.186 \(\int \sqrt {a \sin (e+f x)} (b \tan (e+f x))^n \, dx\)
 3.187 \(\int \frac {(b \tan (e+f x))^n}{\sqrt {a \sin (e+f x)}} \, dx\)
 3.188 \(\int \frac {(b \tan (e+f x))^n}{(a \sin (e+f x))^{3/2}} \, dx\)
 3.189 \(\int (a \cos (e+f x))^m (b \tan (e+f x))^n \, dx\)
 3.190 \(\int (a \tan (e+f x))^m (b \tan (e+f x))^n \, dx\)
 3.191 \(\int \sqrt {d \cot (e+f x)} \tan ^4(e+f x) \, dx\)
 3.192 \(\int \sqrt {d \cot (e+f x)} \tan ^3(e+f x) \, dx\)
 3.193 \(\int \sqrt {d \cot (e+f x)} \tan ^2(e+f x) \, dx\)
 3.194 \(\int \sqrt {d \cot (e+f x)} \tan (e+f x) \, dx\)
 3.195 \(\int \sqrt {d \cot (e+f x)} \, dx\)
 3.196 \(\int \cot (e+f x) \sqrt {d \cot (e+f x)} \, dx\)
 3.197 \(\int \cot ^2(e+f x) \sqrt {d \cot (e+f x)} \, dx\)
 3.198 \(\int \cot ^3(e+f x) \sqrt {d \cot (e+f x)} \, dx\)
 3.199 \(\int (d \cot (e+f x))^{3/2} \tan ^5(e+f x) \, dx\)
 3.200 \(\int (d \cot (e+f x))^{3/2} \tan ^4(e+f x) \, dx\)
 3.201 \(\int (d \cot (e+f x))^{3/2} \tan ^3(e+f x) \, dx\)
 3.202 \(\int (d \cot (e+f x))^{3/2} \tan ^2(e+f x) \, dx\)
 3.203 \(\int (d \cot (e+f x))^{3/2} \tan (e+f x) \, dx\)
 3.204 \(\int (d \cot (e+f x))^{3/2} \, dx\)
 3.205 \(\int \cot (e+f x) (d \cot (e+f x))^{3/2} \, dx\)
 3.206 \(\int \cot ^2(e+f x) (d \cot (e+f x))^{3/2} \, dx\)
 3.207 \(\int \frac {\tan ^3(e+f x)}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.208 \(\int \frac {\tan ^2(e+f x)}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.209 \(\int \frac {\tan (e+f x)}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.210 \(\int \frac {1}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.211 \(\int \frac {\cot (e+f x)}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.212 \(\int \frac {\cot ^2(e+f x)}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.213 \(\int \frac {\cot ^3(e+f x)}{\sqrt {d \cot (e+f x)}} \, dx\)
 3.214 \(\int \frac {\tan ^2(e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.215 \(\int \frac {\tan (e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.216 \(\int \frac {1}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.217 \(\int \frac {\cot (e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.218 \(\int \frac {\cot ^2(e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.219 \(\int \frac {\cot ^3(e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.220 \(\int \frac {\cot ^4(e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.221 \(\int \frac {\cot ^5(e+f x)}{(d \cot (e+f x))^{3/2}} \, dx\)
 3.222 \(\int \cot ^m(e+f x) \tan ^n(e+f x) \, dx\)
 3.223 \(\int \cot ^m(e+f x) (b \tan (e+f x))^n \, dx\)
 3.224 \(\int (a \cot (e+f x))^m \tan ^n(e+f x) \, dx\)
 3.225 \(\int (a \cot (e+f x))^m (b \tan (e+f x))^n \, dx\)
 3.226 \(\int \sec ^6(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.227 \(\int \sec ^4(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.228 \(\int \sec ^2(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.229 \(\int \sqrt {d \tan (e+f x)} \, dx\)
 3.230 \(\int \cos ^2(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.231 \(\int \sec ^3(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.232 \(\int \sec (e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.233 \(\int \cos (e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.234 \(\int \cos ^3(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.235 \(\int \cos ^5(e+f x) \sqrt {d \tan (e+f x)} \, dx\)
 3.236 \(\int \sec ^6(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.237 \(\int \sec ^4(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.238 \(\int \sec ^2(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.239 \(\int (d \tan (a+b x))^{3/2} \, dx\)
 3.240 \(\int \cos ^2(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.241 \(\int \sec ^5(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.242 \(\int \sec ^3(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.243 \(\int \sec (a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.244 \(\int \cos (a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.245 \(\int \cos ^3(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.246 \(\int \cos ^5(a+b x) (d \tan (a+b x))^{3/2} \, dx\)
 3.247 \(\int \sec ^6(e+f x) (d \tan (e+f x))^{5/2} \, dx\)
 3.248 \(\int \sec ^4(e+f x) (d \tan (e+f x))^{5/2} \, dx\)
 3.249 \(\int \sec ^2(e+f x) (d \tan (e+f x))^{5/2} \, dx\)
 3.250 \(\int (d \tan (e+f x))^{5/2} \, dx\)
 3.251 \(\int \cos ^2(e+f x) (d \tan (e+f x))^{5/2} \, dx\)
 3.252 \(\int \cos ^4(e+f x) (d \tan (e+f x))^{5/2} \, dx\)
 3.253 \(\int \frac {\sec ^5(e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\)
 3.254 \(\int \frac {\sec ^3(e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\)
 3.255 \(\int \frac {\sec (e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\)
 3.256 \(\int \frac {\cos (e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\)
 3.257 \(\int \frac {\cos ^3(e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\)
 3.258 \(\int \frac {\sec ^6(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.259 \(\int \frac {\sec ^4(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.260 \(\int \frac {\sec ^2(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.261 \(\int \frac {1}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.262 \(\int \frac {\cos ^2(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.263 \(\int \frac {\sec ^5(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.264 \(\int \frac {\sec ^3(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.265 \(\int \frac {\sec (a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.266 \(\int \frac {\cos (a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.267 \(\int \frac {\cos ^3(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.268 \(\int \frac {\cos ^5(a+b x)}{(d \tan (a+b x))^{3/2}} \, dx\)
 3.269 \(\int \frac {\sec (a+b x)}{(d \tan (a+b x))^{5/2}} \, dx\)
 3.270 \(\int \frac {\sec ^3(a+b x)}{(d \tan (a+b x))^{7/2}} \, dx\)
 3.271 \(\int \sec ^{\frac {10}{3}}(e+f x) \sin ^2(e+f x) \, dx\)
 3.272 \(\int \sec ^{\frac {8}{3}}(e+f x) \sin ^2(e+f x) \, dx\)
 3.273 \(\int \sec ^{\frac {7}{3}}(e+f x) \sin ^2(e+f x) \, dx\)
 3.274 \(\int \sec ^{\frac {5}{3}}(e+f x) \sin ^2(e+f x) \, dx\)
 3.275 \(\int \sec ^{\frac {4}{3}}(e+f x) \sin ^2(e+f x) \, dx\)
 3.276 \(\int \sec ^{\frac {16}{3}}(e+f x) \sin ^4(e+f x) \, dx\)
 3.277 \(\int \sec ^{\frac {14}{3}}(e+f x) \sin ^4(e+f x) \, dx\)
 3.278 \(\int \sec ^{\frac {13}{3}}(e+f x) \sin ^4(e+f x) \, dx\)
 3.279 \(\int \sec ^{\frac {11}{3}}(e+f x) \sin ^4(e+f x) \, dx\)
 3.280 \(\int \sec ^{\frac {10}{3}}(e+f x) \sin ^4(e+f x) \, dx\)
 3.281 \(\int (d \sec (e+f x))^{4/3} \tan ^2(e+f x) \, dx\)
 3.282 \(\int (d \sec (e+f x))^{2/3} \tan ^2(e+f x) \, dx\)
 3.283 \(\int \sqrt [3]{d \sec (e+f x)} \tan ^2(e+f x) \, dx\)
 3.284 \(\int \frac {\tan ^2(e+f x)}{\sqrt [3]{d \sec (e+f x)}} \, dx\)
 3.285 \(\int \frac {\tan ^2(e+f x)}{(d \sec (e+f x))^{2/3}} \, dx\)
 3.286 \(\int (d \sec (e+f x))^{4/3} \tan ^4(e+f x) \, dx\)
 3.287 \(\int (d \sec (e+f x))^{2/3} \tan ^4(e+f x) \, dx\)
 3.288 \(\int \sqrt [3]{d \sec (e+f x)} \tan ^4(e+f x) \, dx\)
 3.289 \(\int \frac {\tan ^4(e+f x)}{\sqrt [3]{d \sec (e+f x)}} \, dx\)
 3.290 \(\int \frac {\tan ^4(e+f x)}{(d \sec (e+f x))^{2/3}} \, dx\)
 3.291 \(\int (d \sec (e+f x))^{5/2} \sqrt {b \tan (e+f x)} \, dx\)
 3.292 \(\int (d \sec (e+f x))^{3/2} \sqrt {b \tan (e+f x)} \, dx\)
 3.293 \(\int \sqrt {d \sec (e+f x)} \sqrt {b \tan (e+f x)} \, dx\)
 3.294 \(\int \frac {\sqrt {b \tan (e+f x)}}{\sqrt {d \sec (e+f x)}} \, dx\)
 3.295 \(\int \frac {\sqrt {b \tan (e+f x)}}{(d \sec (e+f x))^{3/2}} \, dx\)
 3.296 \(\int \frac {\sqrt {b \tan (e+f x)}}{(d \sec (e+f x))^{5/2}} \, dx\)
 3.297 \(\int \frac {\sqrt {b \tan (e+f x)}}{(d \sec (e+f x))^{7/2}} \, dx\)
 3.298 \(\int \frac {\sqrt {b \tan (e+f x)}}{(d \sec (e+f x))^{9/2}} \, dx\)
 3.299 \(\int (d \sec (e+f x))^{5/2} (b \tan (e+f x))^{3/2} \, dx\)
 3.300 \(\int (d \sec (e+f x))^{3/2} (b \tan (e+f x))^{3/2} \, dx\)
 3.301 \(\int \sqrt {d \sec (e+f x)} (b \tan (e+f x))^{3/2} \, dx\)
 3.302 \(\int \frac {(b \tan (e+f x))^{3/2}}{\sqrt {d \sec (e+f x)}} \, dx\)
 3.303 \(\int \frac {(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{3/2}} \, dx\)
 3.304 \(\int \frac {(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{5/2}} \, dx\)
 3.305 \(\int \frac {(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{7/2}} \, dx\)
 3.306 \(\int \frac {(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{9/2}} \, dx\)
 3.307 \(\int (d \sec (e+f x))^{5/2} (b \tan (e+f x))^{5/2} \, dx\)
 3.308 \(\int (d \sec (e+f x))^{3/2} (b \tan (e+f x))^{5/2} \, dx\)
 3.309 \(\int \sqrt {d \sec (e+f x)} (b \tan (e+f x))^{5/2} \, dx\)
 3.310 \(\int \frac {(b \tan (e+f x))^{5/2}}{\sqrt {d \sec (e+f x)}} \, dx\)
 3.311 \(\int \frac {(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{3/2}} \, dx\)
 3.312 \(\int \frac {(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{5/2}} \, dx\)
 3.313 \(\int \frac {(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{7/2}} \, dx\)
 3.314 \(\int \frac {(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{9/2}} \, dx\)
 3.315 \(\int \frac {(d \sec (e+f x))^{7/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.316 \(\int \frac {(d \sec (e+f x))^{5/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.317 \(\int \frac {(d \sec (e+f x))^{3/2}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.318 \(\int \frac {\sqrt {d \sec (e+f x)}}{\sqrt {b \tan (e+f x)}} \, dx\)
 3.319 \(\int \frac {1}{\sqrt {d \sec (e+f x)} \sqrt {b \tan (e+f x)}} \, dx\)
 3.320 \(\int \frac {1}{(d \sec (e+f x))^{3/2} \sqrt {b \tan (e+f x)}} \, dx\)
 3.321 \(\int \frac {1}{(d \sec (e+f x))^{5/2} \sqrt {b \tan (e+f x)}} \, dx\)
 3.322 \(\int \frac {(d \sec (e+f x))^{5/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.323 \(\int \frac {(d \sec (e+f x))^{3/2}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.324 \(\int \frac {\sqrt {d \sec (e+f x)}}{(b \tan (e+f x))^{3/2}} \, dx\)
 3.325 \(\int \frac {1}{\sqrt {d \sec (e+f x)} (b \tan (e+f x))^{3/2}} \, dx\)
 3.326 \(\int \frac {1}{(d \sec (e+f x))^{3/2} (b \tan (e+f x))^{3/2}} \, dx\)
 3.327 \(\int \frac {1}{(d \sec (e+f x))^{5/2} (b \tan (e+f x))^{3/2}} \, dx\)
 3.328 \(\int \frac {(d \sec (e+f x))^{7/2}}{(b \tan (e+f x))^{5/2}} \, dx\)
 3.329 \(\int \frac {(d \sec (e+f x))^{5/2}}{(b \tan (e+f x))^{5/2}} \, dx\)
 3.330 \(\int \frac {(d \sec (e+f x))^{3/2}}{(b \tan (e+f x))^{5/2}} \, dx\)
 3.331 \(\int \frac {\sqrt {d \sec (e+f x)}}{(b \tan (e+f x))^{5/2}} \, dx\)
 3.332 \(\int \frac {1}{\sqrt {d \sec (e+f x)} (b \tan (e+f x))^{5/2}} \, dx\)
 3.333 \(\int \frac {1}{(d \sec (e+f x))^{3/2} (b \tan (e+f x))^{5/2}} \, dx\)
 3.334 \(\int \frac {1}{(d \sec (e+f x))^{5/2} (b \tan (e+f x))^{5/2}} \, dx\)
 3.335 \(\int (b \sec (e+f x))^{4/3} \sqrt {d \tan (e+f x)} \, dx\)
 3.336 \(\int \sqrt [3]{b \sec (e+f x)} \sqrt {d \tan (e+f x)} \, dx\)
 3.337 \(\int \frac {\sqrt {d \tan (e+f x)}}{\sqrt [3]{b \sec (e+f x)}} \, dx\)
 3.338 \(\int \frac {\sqrt {d \tan (e+f x)}}{(b \sec (e+f x))^{4/3}} \, dx\)
 3.339 \(\int (b \sec (e+f x))^{4/3} (d \tan (e+f x))^{3/2} \, dx\)
 3.340 \(\int \sqrt [3]{b \sec (e+f x)} (d \tan (e+f x))^{3/2} \, dx\)
 3.341 \(\int \frac {(d \tan (e+f x))^{3/2}}{\sqrt [3]{b \sec (e+f x)}} \, dx\)
 3.342 \(\int \frac {(d \tan (e+f x))^{3/2}}{(b \sec (e+f x))^{4/3}} \, dx\)
 3.343 \(\int \sqrt {b \sec (e+f x)} (d \tan (e+f x))^{4/3} \, dx\)
 3.344 \(\int \sqrt {b \sec (e+f x)} \sqrt [3]{d \tan (e+f x)} \, dx\)
 3.345 \(\int \frac {\sqrt {b \sec (e+f x)}}{\sqrt [3]{d \tan (e+f x)}} \, dx\)
 3.346 \(\int \frac {\sqrt {b \sec (e+f x)}}{(d \tan (e+f x))^{4/3}} \, dx\)
 3.347 \(\int (b \sec (e+f x))^{3/2} (d \tan (e+f x))^{4/3} \, dx\)
 3.348 \(\int (b \sec (e+f x))^{3/2} \sqrt [3]{d \tan (e+f x)} \, dx\)
 3.349 \(\int \frac {(b \sec (e+f x))^{3/2}}{\sqrt [3]{d \tan (e+f x)}} \, dx\)
 3.350 \(\int \frac {(b \sec (e+f x))^{3/2}}{(d \tan (e+f x))^{4/3}} \, dx\)
 3.351 \(\int (b \sec (e+f x))^m \tan ^5(e+f x) \, dx\)
 3.352 \(\int (b \sec (e+f x))^m \tan ^3(e+f x) \, dx\)
 3.353 \(\int (b \sec (e+f x))^m \tan (e+f x) \, dx\)
 3.354 \(\int \cot (e+f x) (b \sec (e+f x))^m \, dx\)
 3.355 \(\int \cot ^3(e+f x) (b \sec (e+f x))^m \, dx\)
 3.356 \(\int \cot ^5(e+f x) (b \sec (e+f x))^m \, dx\)
 3.357 \(\int (b \sec (e+f x))^m \tan ^4(e+f x) \, dx\)
 3.358 \(\int (b \sec (e+f x))^m \tan ^2(e+f x) \, dx\)
 3.359 \(\int \cot ^2(e+f x) (b \sec (e+f x))^m \, dx\)
 3.360 \(\int \cot ^4(e+f x) (b \sec (e+f x))^m \, dx\)
 3.361 \(\int \cot ^6(e+f x) (b \sec (e+f x))^m \, dx\)
 3.362 \(\int (a \sec (e+f x))^m (b \tan (e+f x))^n \, dx\)
 3.363 \(\int \sec ^6(a+b x) (d \tan (a+b x))^n \, dx\)
 3.364 \(\int \sec ^4(a+b x) (d \tan (a+b x))^n \, dx\)
 3.365 \(\int \sec ^2(a+b x) (d \tan (a+b x))^n \, dx\)
 3.366 \(\int (d \tan (a+b x))^n \, dx\)
 3.367 \(\int \cos ^2(a+b x) (d \tan (a+b x))^n \, dx\)
 3.368 \(\int \cos ^4(a+b x) (d \tan (a+b x))^n \, dx\)
 3.369 \(\int \sec ^5(a+b x) (d \tan (a+b x))^n \, dx\)
 3.370 \(\int \sec ^3(a+b x) (d \tan (a+b x))^n \, dx\)
 3.371 \(\int \sec (a+b x) (d \tan (a+b x))^n \, dx\)
 3.372 \(\int \cos (a+b x) (d \tan (a+b x))^n \, dx\)
 3.373 \(\int \cos ^3(a+b x) (d \tan (a+b x))^n \, dx\)
 3.374 \(\int (b \csc (e+f x))^m \tan ^3(e+f x) \, dx\)
 3.375 \(\int (b \csc (e+f x))^m \tan (e+f x) \, dx\)
 3.376 \(\int \cot (e+f x) (b \csc (e+f x))^m \, dx\)
 3.377 \(\int \cot ^3(e+f x) (b \csc (e+f x))^m \, dx\)
 3.378 \(\int \cot ^5(e+f x) (b \csc (e+f x))^m \, dx\)
 3.379 \(\int (b \csc (e+f x))^m \tan ^4(e+f x) \, dx\)
 3.380 \(\int (b \csc (e+f x))^m \tan ^2(e+f x) \, dx\)
 3.381 \(\int \cot ^2(e+f x) (b \csc (e+f x))^m \, dx\)
 3.382 \(\int \cot ^4(e+f x) (b \csc (e+f x))^m \, dx\)
 3.383 \(\int (b \csc (e+f x))^m (d \tan (e+f x))^{3/2} \, dx\)
 3.384 \(\int (b \csc (e+f x))^m \sqrt {d \tan (e+f x)} \, dx\)
 3.385 \(\int \frac {(b \csc (e+f x))^m}{\sqrt {d \tan (e+f x)}} \, dx\)
 3.386 \(\int \frac {(b \csc (e+f x))^m}{(d \tan (e+f x))^{3/2}} \, dx\)
 3.387 \(\int (a \csc (e+f x))^m (b \tan (e+f x))^n \, dx\)