3.3.1 \(\int \genfrac {}{}{}{}{\tan ^6(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [201]
3.3.2 \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [202]
3.3.3 \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [203]
3.3.4 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [204]
3.3.5 \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{\cot ^6(c+d x)}{(a+a \sec (c+d x))^{5/2}} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{(a+a \sec (e+f x))^{9/2}} \, dx\) [207]
3.3.8 \(\int (a+a \sec (c+d x))^n (e \tan (c+d x))^m \, dx\) [208]
3.3.9 \(\int (a+a \sec (c+d x))^3 (e \tan (c+d x))^m \, dx\) [209]
3.3.10 \(\int (a+a \sec (c+d x))^2 (e \tan (c+d x))^m \, dx\) [210]
3.3.11 \(\int (a+a \sec (c+d x)) (e \tan (c+d x))^m \, dx\) [211]
3.3.12 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{a+a \sec (c+d x)} \, dx\) [212]
3.3.13 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{(a+a \sec (c+d x))^2} \, dx\) [213]
3.3.14 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{(a+a \sec (c+d x))^3} \, dx\) [214]
3.3.15 \(\int (a+a \sec (c+d x))^{3/2} (e \tan (c+d x))^m \, dx\) [215]
3.3.16 \(\int \sqrt {a+a \sec (c+d x)} (e \tan (c+d x))^m \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{\sqrt {a+a \sec (c+d x)}} \, dx\) [217]
3.3.18 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{(a+a \sec (c+d x))^{3/2}} \, dx\) [218]
3.3.19 \(\int (a+a \sec (c+d x))^n \tan ^7(c+d x) \, dx\) [219]
3.3.20 \(\int (a+a \sec (c+d x))^n \tan ^5(c+d x) \, dx\) [220]
3.3.21 \(\int (a+a \sec (c+d x))^n \tan ^3(c+d x) \, dx\) [221]
3.3.22 \(\int (a+a \sec (c+d x))^n \tan (c+d x) \, dx\) [222]
3.3.23 \(\int \cot (c+d x) (a+a \sec (c+d x))^n \, dx\) [223]
3.3.24 \(\int \cot ^3(c+d x) (a+a \sec (c+d x))^n \, dx\) [224]
3.3.25 \(\int (a+a \sec (c+d x))^n \tan ^4(c+d x) \, dx\) [225]
3.3.26 \(\int (a+a \sec (c+d x))^n \tan ^2(c+d x) \, dx\) [226]
3.3.27 \(\int \cot ^2(c+d x) (a+a \sec (c+d x))^n \, dx\) [227]
3.3.28 \(\int \cot ^4(c+d x) (a+a \sec (c+d x))^n \, dx\) [228]
3.3.29 \(\int (a+a \sec (c+d x))^n \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [229]
3.3.30 \(\int (a+a \sec (c+d x))^n \sqrt {\tan (c+d x)} \, dx\) [230]
3.3.31 \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^n}{\sqrt {\tan (c+d x)}} \, dx\) [231]
3.3.32 \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^n}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [232]
3.3.33 \(\int (e \cot (c+d x))^{5/2} (a+a \sec (c+d x)) \, dx\) [233]
3.3.34 \(\int (e \cot (c+d x))^{3/2} (a+a \sec (c+d x)) \, dx\) [234]
3.3.35 \(\int \sqrt {e \cot (c+d x)} (a+a \sec (c+d x)) \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{a+a \sec (c+d x)}{\sqrt {e \cot (c+d x)}} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{a+a \sec (c+d x)}{(e \cot (c+d x))^{3/2}} \, dx\) [237]
3.3.38 \(\int (e \cot (c+d x))^{5/2} (a+a \sec (c+d x))^2 \, dx\) [238]
3.3.39 \(\int (e \cot (c+d x))^{3/2} (a+a \sec (c+d x))^2 \, dx\) [239]
3.3.40 \(\int \sqrt {e \cot (c+d x)} (a+a \sec (c+d x))^2 \, dx\) [240]
3.3.41 \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^2}{\sqrt {e \cot (c+d x)}} \, dx\) [241]
3.3.42 \(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^2}{(e \cot (c+d x))^{3/2}} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{(e \cot (c+d x))^{3/2}}{a+a \sec (c+d x)} \, dx\) [243]
3.3.44 \(\int \genfrac {}{}{}{}{\sqrt {e \cot (c+d x)}}{a+a \sec (c+d x)} \, dx\) [244]
3.3.45 \(\int \genfrac {}{}{}{}{1}{\sqrt {e \cot (c+d x)} (a+a \sec (c+d x))} \, dx\) [245]
3.3.46 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{3/2} (a+a \sec (c+d x))} \, dx\) [246]
3.3.47 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{5/2} (a+a \sec (c+d x))} \, dx\) [247]
3.3.48 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{7/2} (a+a \sec (c+d x))} \, dx\) [248]
3.3.49 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{9/2} (a+a \sec (c+d x))} \, dx\) [249]
3.3.50 \(\int \genfrac {}{}{}{}{1}{\sqrt {e \cot (c+d x)} (a+a \sec (c+d x))^2} \, dx\) [250]
3.3.51 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{3/2} (a+a \sec (c+d x))^2} \, dx\) [251]
3.3.52 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{5/2} (a+a \sec (c+d x))^2} \, dx\) [252]
3.3.53 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{7/2} (a+a \sec (c+d x))^2} \, dx\) [253]
3.3.54 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{9/2} (a+a \sec (c+d x))^2} \, dx\) [254]
3.3.55 \(\int \genfrac {}{}{}{}{1}{(e \cot (c+d x))^{11/2} (a+a \sec (c+d x))^2} \, dx\) [255]
3.3.56 \(\int (a+b \sec (c+d x)) \tan ^7(c+d x) \, dx\) [256]
3.3.57 \(\int (a+b \sec (c+d x)) \tan ^5(c+d x) \, dx\) [257]
3.3.58 \(\int (a+b \sec (c+d x)) \tan ^3(c+d x) \, dx\) [258]
3.3.59 \(\int (a+b \sec (c+d x)) \tan (c+d x) \, dx\) [259]
3.3.60 \(\int \cot (c+d x) (a+b \sec (c+d x)) \, dx\) [260]
3.3.61 \(\int \cot ^3(c+d x) (a+b \sec (c+d x)) \, dx\) [261]
3.3.62 \(\int \cot ^5(c+d x) (a+b \sec (c+d x)) \, dx\) [262]
3.3.63 \(\int \cot ^7(c+d x) (a+b \sec (c+d x)) \, dx\) [263]
3.3.64 \(\int (a+b \sec (c+d x)) \tan ^6(c+d x) \, dx\) [264]
3.3.65 \(\int (a+b \sec (c+d x)) \tan ^4(c+d x) \, dx\) [265]
3.3.66 \(\int (a+b \sec (c+d x)) \tan ^2(c+d x) \, dx\) [266]
3.3.67 \(\int \cot ^2(c+d x) (a+b \sec (c+d x)) \, dx\) [267]
3.3.68 \(\int \cot ^4(c+d x) (a+b \sec (c+d x)) \, dx\) [268]
3.3.69 \(\int \cot ^6(c+d x) (a+b \sec (c+d x)) \, dx\) [269]
3.3.70 \(\int \cot ^8(c+d x) (a+b \sec (c+d x)) \, dx\) [270]
3.3.71 \(\int (a+b \sec (c+d x))^2 \tan ^9(c+d x) \, dx\) [271]
3.3.72 \(\int (a+b \sec (c+d x))^2 \tan ^7(c+d x) \, dx\) [272]
3.3.73 \(\int (a+b \sec (c+d x))^2 \tan ^5(c+d x) \, dx\) [273]
3.3.74 \(\int (a+b \sec (c+d x))^2 \tan ^3(c+d x) \, dx\) [274]
3.3.75 \(\int (a+b \sec (c+d x))^2 \tan (c+d x) \, dx\) [275]
3.3.76 \(\int \cot (c+d x) (a+b \sec (c+d x))^2 \, dx\) [276]
3.3.77 \(\int \cot ^3(c+d x) (a+b \sec (c+d x))^2 \, dx\) [277]
3.3.78 \(\int \cot ^5(c+d x) (a+b \sec (c+d x))^2 \, dx\) [278]
3.3.79 \(\int (a+b \sec (c+d x))^2 \tan ^6(c+d x) \, dx\) [279]
3.3.80 \(\int (a+b \sec (c+d x))^2 \tan ^4(c+d x) \, dx\) [280]
3.3.81 \(\int (a+b \sec (c+d x))^2 \tan ^2(c+d x) \, dx\) [281]
3.3.82 \(\int \cot ^2(c+d x) (a+b \sec (c+d x))^2 \, dx\) [282]
3.3.83 \(\int \cot ^4(c+d x) (a+b \sec (c+d x))^2 \, dx\) [283]
3.3.84 \(\int \cot ^6(c+d x) (a+b \sec (c+d x))^2 \, dx\) [284]
3.3.85 \(\int \cot ^8(c+d x) (a+b \sec (c+d x))^2 \, dx\) [285]
3.3.86 \(\int \genfrac {}{}{}{}{\tan ^9(c+d x)}{a+b \sec (c+d x)} \, dx\) [286]
3.3.87 \(\int \genfrac {}{}{}{}{\tan ^7(c+d x)}{a+b \sec (c+d x)} \, dx\) [287]
3.3.88 \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{a+b \sec (c+d x)} \, dx\) [288]
3.3.89 \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{a+b \sec (c+d x)} \, dx\) [289]
3.3.90 \(\int \genfrac {}{}{}{}{\tan (c+d x)}{a+b \sec (c+d x)} \, dx\) [290]
3.3.91 \(\int \genfrac {}{}{}{}{\cot (c+d x)}{a+b \sec (c+d x)} \, dx\) [291]
3.3.92 \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{a+b \sec (c+d x)} \, dx\) [292]
3.3.93 \(\int \genfrac {}{}{}{}{\cot ^5(c+d x)}{a+b \sec (c+d x)} \, dx\) [293]
3.3.94 \(\int \genfrac {}{}{}{}{\tan ^6(c+d x)}{a+b \sec (c+d x)} \, dx\) [294]
3.3.95 \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{a+b \sec (c+d x)} \, dx\) [295]
3.3.96 \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{a+b \sec (c+d x)} \, dx\) [296]
3.3.97 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{a+b \sec (c+d x)} \, dx\) [297]
3.3.98 \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{a+b \sec (c+d x)} \, dx\) [298]
3.3.99 \(\int \genfrac {}{}{}{}{\tan ^9(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [299]
3.3.100 \(\int \genfrac {}{}{}{}{\tan ^7(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [300]