\(\int \cot (e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [201]
\(\int \cot ^3(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [202]
\(\int \cot ^5(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [203]
\(\int \tan ^6(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [204]
\(\int \tan ^4(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [205]
\(\int \tan ^2(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [206]
\(\int (a+b \tan ^2(e+f x))^2 \, dx\) [207]
\(\int \cot ^2(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [208]
\(\int \cot ^4(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [209]
\(\int \cot ^6(e+f x) (a+b \tan ^2(e+f x))^2 \, dx\) [210]
\(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [211]
\(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [212]
\(\int \genfrac {}{}{}{}{\tan (e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [213]
\(\int \genfrac {}{}{}{}{\cot (e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [214]
\(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [215]
\(\int \genfrac {}{}{}{}{\cot ^5(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [216]
\(\int \genfrac {}{}{}{}{\tan ^6(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [217]
\(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [218]
\(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [219]
\(\int \genfrac {}{}{}{}{1}{a+b \tan ^2(e+f x)} \, dx\) [220]
\(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [221]
\(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [222]
\(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{a+b \tan ^2(e+f x)} \, dx\) [223]
\(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [224]
\(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [225]
\(\int \genfrac {}{}{}{}{\tan (e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [226]
\(\int \genfrac {}{}{}{}{\cot (e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [227]
\(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [228]
\(\int \genfrac {}{}{}{}{\cot ^5(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [229]
\(\int \genfrac {}{}{}{}{\tan ^6(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [230]
\(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [231]
\(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [232]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan ^2(e+f x))^2} \, dx\) [233]
\(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{(a+b \tan ^2(e+f x))^2} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [237]
\(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [238]
\(\int \genfrac {}{}{}{}{\tan (e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\cot (e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [241]
\(\int \genfrac {}{}{}{}{\cot ^5(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [242]
\(\int \genfrac {}{}{}{}{\tan ^6(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [243]
\(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [244]
\(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [245]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan ^2(e+f x))^3} \, dx\) [246]
\(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [247]
\(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [248]
\(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{(a+b \tan ^2(e+f x))^3} \, dx\) [249]
\(\int (a+b \tan ^2(c+d x))^4 \, dx\) [250]
\(\int (a+b \tan ^2(c+d x))^3 \, dx\) [251]
\(\int (a+b \tan ^2(c+d x))^2 \, dx\) [252]
\(\int (a+b \tan ^2(c+d x)) \, dx\) [253]
\(\int \genfrac {}{}{}{}{1}{a+b \tan ^2(c+d x)} \, dx\) [254]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan ^2(c+d x))^2} \, dx\) [255]
\(\int \genfrac {}{}{}{}{1}{(a+b \tan ^2(c+d x))^3} \, dx\) [256]
\(\int \tan ^4(x) \sqrt {a+a \tan ^2(x)} \, dx\) [257]
\(\int \tan ^3(x) \sqrt {a+a \tan ^2(x)} \, dx\) [258]
\(\int \tan ^2(x) \sqrt {a+a \tan ^2(x)} \, dx\) [259]
\(\int \tan (x) \sqrt {a+a \tan ^2(x)} \, dx\) [260]
\(\int \cot (x) \sqrt {a+a \tan ^2(x)} \, dx\) [261]
\(\int \cot ^2(x) \sqrt {a+a \tan ^2(x)} \, dx\) [262]
\(\int \cot ^3(x) \sqrt {a+a \tan ^2(x)} \, dx\) [263]
\(\int \cot ^4(x) \sqrt {a+a \tan ^2(x)} \, dx\) [264]
\(\int \sqrt {a+a \tan ^2(c+d x)} \, dx\) [265]
\(\int \tan ^3(x) (a+a \tan ^2(x))^{3/2} \, dx\) [266]
\(\int \tan ^2(x) (a+a \tan ^2(x))^{3/2} \, dx\) [267]
\(\int \tan (x) (a+a \tan ^2(x))^{3/2} \, dx\) [268]
\(\int \cot (x) (a+a \tan ^2(x))^{3/2} \, dx\) [269]
\(\int \cot ^2(x) (a+a \tan ^2(x))^{3/2} \, dx\) [270]
\(\int (a+a \tan ^2(c+d x))^{3/2} \, dx\) [271]
\(\int (a+a \tan ^2(c+d x))^{5/2} \, dx\) [272]
\(\int \genfrac {}{}{}{}{\tan ^3(x)}{\sqrt {a+a \tan ^2(x)}} \, dx\) [273]
\(\int \genfrac {}{}{}{}{\tan ^2(x)}{\sqrt {a+a \tan ^2(x)}} \, dx\) [274]
\(\int \genfrac {}{}{}{}{\tan (x)}{\sqrt {a+a \tan ^2(x)}} \, dx\) [275]
\(\int \genfrac {}{}{}{}{\cot (x)}{\sqrt {a+a \tan ^2(x)}} \, dx\) [276]
\(\int \genfrac {}{}{}{}{\cot ^2(x)}{\sqrt {a+a \tan ^2(x)}} \, dx\) [277]
\(\int \genfrac {}{}{}{}{\tan ^3(x)}{(a+a \tan ^2(x))^{3/2}} \, dx\) [278]
\(\int \genfrac {}{}{}{}{\tan ^2(x)}{(a+a \tan ^2(x))^{3/2}} \, dx\) [279]
\(\int \genfrac {}{}{}{}{\tan (x)}{(a+a \tan ^2(x))^{3/2}} \, dx\) [280]
\(\int \genfrac {}{}{}{}{\cot (x)}{(a+a \tan ^2(x))^{3/2}} \, dx\) [281]
\(\int \genfrac {}{}{}{}{\cot ^2(x)}{(a+a \tan ^2(x))^{3/2}} \, dx\) [282]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+a \tan ^2(c+d x)}} \, dx\) [283]
\(\int \genfrac {}{}{}{}{1}{(a+a \tan ^2(c+d x))^{3/2}} \, dx\) [284]
\(\int \genfrac {}{}{}{}{1}{(a+a \tan ^2(c+d x))^{5/2}} \, dx\) [285]
\(\int \genfrac {}{}{}{}{1}{(a+a \tan ^2(c+d x))^{7/2}} \, dx\) [286]
\(\int (1+\tan ^2(x))^{3/2} \, dx\) [287]
\(\int \sqrt {1+\tan ^2(x)} \, dx\) [288]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+\tan ^2(x)}} \, dx\) [289]
\(\int (-1-\tan ^2(x))^{3/2} \, dx\) [290]
\(\int \sqrt {-1-\tan ^2(x)} \, dx\) [291]
\(\int \genfrac {}{}{}{}{1}{\sqrt {-1-\tan ^2(x)}} \, dx\) [292]
\(\int \tan ^5(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [293]
\(\int \tan ^3(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [294]
\(\int \tan (e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [295]
\(\int \cot (e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [296]
\(\int \cot ^3(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [297]
\(\int \cot ^5(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [298]
\(\int \tan ^6(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [299]
\(\int \tan ^4(e+f x) \sqrt {a+b \tan ^2(e+f x)} \, dx\) [300]