\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{a+b \tan (c+d x)} \, dx\) [301]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [302]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [303]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [304]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [305]
   \(\int \genfrac {}{}{}{}{\tan ^4(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [306]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [307]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [308]
   \(\int \genfrac {}{}{}{}{\tan (c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [309]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{(a+b \tan (c+d x))^2} \, dx\) [310]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [311]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [312]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{3+\tan (c+d x)}{2-\tan (c+d x)} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{\genfrac {}{}{}{}{b B}{a}+B \tan (c+d x)}{a+b \tan (c+d x)} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{a+b \tan (c+d x)}{(b+a \tan (c+d x))^2} \, dx\) [316]
   \(\int \tan ^3(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [317]
   \(\int \tan ^2(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [318]
   \(\int \tan (c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [319]
   \(\int \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [320]
   \(\int \cot (c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [321]
   \(\int \cot ^2(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [322]
   \(\int \cot ^3(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [323]
   \(\int \cot ^4(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [324]
   \(\int \tan ^2(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [325]
   \(\int \tan (c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [326]
   \(\int (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [327]
   \(\int \cot (c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [328]
   \(\int \cot ^2(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [329]
   \(\int \cot ^3(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [330]
   \(\int \cot ^4(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [331]
   \(\int \tan ^2(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [332]
   \(\int \tan (c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [333]
   \(\int (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [334]
   \(\int \cot (c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [335]
   \(\int \cot ^2(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [336]
   \(\int \cot ^3(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [337]
   \(\int \cot ^4(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [338]
   \(\int \cot ^5(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [339]
   \(\int (-a+b \tan (c+d x)) (a+b \tan (c+d x))^{5/2} \, dx\) [340]
   \(\int (-a+b \tan (c+d x)) (a+b \tan (c+d x))^{3/2} \, dx\) [341]
   \(\int (-a+b \tan (c+d x)) \sqrt {a+b \tan (c+d x)} \, dx\) [342]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [343]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [344]
   \(\int \genfrac {}{}{}{}{\tan (c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [345]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [346]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [347]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [348]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [349]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [350]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [351]
   \(\int \genfrac {}{}{}{}{\tan (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [352]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{(a+b \tan (c+d x))^{3/2}} \, dx\) [353]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [354]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [355]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [356]
   \(\int \genfrac {}{}{}{}{\tan ^4(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [357]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [358]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [359]
   \(\int \genfrac {}{}{}{}{\tan (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [360]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{(a+b \tan (c+d x))^{5/2}} \, dx\) [361]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [362]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [363]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [364]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [365]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{(a+b \tan (c+d x))^{3/2}} \, dx\) [366]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [367]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{(a+b \tan (c+d x))^{5/2}} \, dx\) [368]
   \(\int \genfrac {}{}{}{}{\cot (c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [369]
   \(\int \genfrac {}{}{}{}{-a+b \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [370]
   \(\int \genfrac {}{}{}{}{-a+b \tan (c+d x)}{(a+b \tan (c+d x))^{3/2}} \, dx\) [371]
   \(\int \genfrac {}{}{}{}{-a+b \tan (c+d x)}{(a+b \tan (c+d x))^{5/2}} \, dx\) [372]
   \(\int \genfrac {}{}{}{}{1+i \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [373]
   \(\int \genfrac {}{}{}{}{1-i \tan (c+d x)}{\sqrt {a+b \tan (c+d x)}} \, dx\) [374]
   \(\int \genfrac {}{}{}{}{3+\tan (x)}{\sqrt {4+3 \tan (x)}} \, dx\) [375]
   \(\int \genfrac {}{}{}{}{1-3 \tan (x)}{\sqrt {4+3 \tan (x)}} \, dx\) [376]
   \(\int \genfrac {}{}{}{}{4-3 \tan (a+b x)}{\sqrt {4+3 \tan (a+b x)}} \, dx\) [377]
   \(\int \tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x)) (A+B \tan (c+d x)) \, dx\) [378]
   \(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x)) (A+B \tan (c+d x)) \, dx\) [379]
   \(\int \sqrt {\tan (c+d x)} (a+b \tan (c+d x)) (A+B \tan (c+d x)) \, dx\) [380]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x)) (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [381]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x)) (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [382]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x)) (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [383]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x)) (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [384]
   \(\int \tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^2 (A+B \tan (c+d x)) \, dx\) [385]
   \(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^2 (A+B \tan (c+d x)) \, dx\) [386]
   \(\int \sqrt {\tan (c+d x)} (a+b \tan (c+d x))^2 (A+B \tan (c+d x)) \, dx\) [387]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2 (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [388]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2 (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [389]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2 (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [390]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^2 (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [391]
   \(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^3 (A+B \tan (c+d x)) \, dx\) [392]
   \(\int \sqrt {\tan (c+d x)} (a+b \tan (c+d x))^3 (A+B \tan (c+d x)) \, dx\) [393]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^3 (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [394]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^3 (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [395]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^3 (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [396]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^3 (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [397]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [398]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [399]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [400]