\(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [301]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [302]
   \(\int \genfrac {}{}{}{}{\tan (c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [303]
   \(\int \genfrac {}{}{}{}{\cot (c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [304]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [305]
   \(\int \genfrac {}{}{}{}{\cot ^5(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [306]
   \(\int \genfrac {}{}{}{}{\tan ^6(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [307]
   \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [308]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [309]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [310]
   \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [311]
   \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^{5/2}}{a+b \sec (c+d x)} \, dx\) [312]
   \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^{3/2}}{a+b \sec (c+d x)} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{\sqrt {e \tan (c+d x)}}{a+b \sec (c+d x)} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x)) \sqrt {e \tan (c+d x)}} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x)) (e \tan (c+d x))^{3/2}} \, dx\) [316]
   \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x)) (e \tan (c+d x))^{5/2}} \, dx\) [317]
   \(\int \sqrt {a+b \sec (c+d x)} \tan ^5(c+d x) \, dx\) [318]
   \(\int \sqrt {a+b \sec (c+d x)} \tan ^3(c+d x) \, dx\) [319]
   \(\int \sqrt {a+b \sec (c+d x)} \tan (c+d x) \, dx\) [320]
   \(\int \cot (c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [321]
   \(\int \cot ^3(c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [322]
   \(\int \sqrt {a+b \sec (c+d x)} \tan ^2(c+d x) \, dx\) [323]
   \(\int \sqrt {a+b \sec (c+d x)} \, dx\) [324]
   \(\int \cot ^2(c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [325]
   \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [326]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [327]
   \(\int \genfrac {}{}{}{}{\tan (c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [328]
   \(\int \genfrac {}{}{}{}{\cot (c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [329]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [330]
   \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [331]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [332]
   \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sec (c+d x)}} \, dx\) [333]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [334]
   \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [335]
   \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [336]
   \(\int \genfrac {}{}{}{}{\tan (c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [337]
   \(\int \genfrac {}{}{}{}{\cot (c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [338]
   \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [339]
   \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [340]
   \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [341]
   \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x))^{3/2}} \, dx\) [342]
   \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [343]
   \(\int (a+b \sec (e+f x))^3 (d \tan (e+f x))^n \, dx\) [344]
   \(\int (a+b \sec (e+f x))^2 (d \tan (e+f x))^n \, dx\) [345]
   \(\int (a+b \sec (e+f x)) (d \tan (e+f x))^n \, dx\) [346]
   \(\int \genfrac {}{}{}{}{(d \tan (e+f x))^n}{a+b \sec (e+f x)} \, dx\) [347]
   \(\int (a+b \sec (c+d x))^{3/2} (e \tan (c+d x))^m \, dx\) [348]
   \(\int \sqrt {a+b \sec (c+d x)} (e \tan (c+d x))^m \, dx\) [349]
   \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{\sqrt {a+b \sec (c+d x)}} \, dx\) [350]
   \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{(a+b \sec (c+d x))^{3/2}} \, dx\) [351]
   \(\int (a+b \sec (c+d x))^n (e \tan (c+d x))^m \, dx\) [352]
   \(\int (a+b \sec (c+d x))^n \tan ^5(c+d x) \, dx\) [353]
   \(\int (a+b \sec (c+d x))^n \tan ^3(c+d x) \, dx\) [354]
   \(\int (a+b \sec (c+d x))^n \tan (c+d x) \, dx\) [355]
   \(\int \cot (c+d x) (a+b \sec (c+d x))^n \, dx\) [356]
   \(\int \cot ^3(c+d x) (a+b \sec (c+d x))^n \, dx\) [357]
   \(\int (a+b \sec (c+d x))^n \tan ^4(c+d x) \, dx\) [358]
   \(\int (a+b \sec (c+d x))^n \tan ^2(c+d x) \, dx\) [359]
   \(\int \cot ^2(c+d x) (a+b \sec (c+d x))^n \, dx\) [360]
   \(\int \cot ^4(c+d x) (a+b \sec (c+d x))^n \, dx\) [361]
   \(\int (a+b \sec (c+d x))^n \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [362]
   \(\int (a+b \sec (c+d x))^n \sqrt {\tan (c+d x)} \, dx\) [363]
   \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^n}{\sqrt {\tan (c+d x)}} \, dx\) [364]
   \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^n}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [365]