\(\int \tan (c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\) [101]
\(\int (a+i a \tan (c+d x))^{5/2} \, dx\) [102]
\(\int \cot (c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\) [103]
\(\int \cot ^2(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\) [104]
\(\int \cot ^3(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\) [105]
\(\int \cot ^4(c+d x) (a+i a \tan (c+d x))^{5/2} \, dx\) [106]
\(\int (a+i a \tan (c+d x))^{7/2} \, dx\) [107]
\(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [108]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [109]
\(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [110]
\(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [111]
\(\int \genfrac {}{}{}{}{\tan (c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{\cot (c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [115]
\(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [116]
\(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [117]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{\tan (c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{\cot (c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [123]
\(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [124]
\(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{(a+i a \tan (c+d x))^{3/2}} \, dx\) [125]
\(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [126]
\(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [127]
\(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{\tan (c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [130]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [131]
\(\int \genfrac {}{}{}{}{\cot (c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [132]
\(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+i a \tan (c+d x))^{5/2}} \, dx\) [133]
\(\int \genfrac {}{}{}{}{1}{(a+i a \tan (c+d x))^{7/2}} \, dx\) [134]
\(\int (d \tan (e+f x))^{5/2} (a+i a \tan (e+f x)) \, dx\) [135]
\(\int (d \tan (e+f x))^{3/2} (a+i a \tan (e+f x)) \, dx\) [136]
\(\int \sqrt {d \tan (e+f x)} (a+i a \tan (e+f x)) \, dx\) [137]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\) [138]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(d \tan (e+f x))^{3/2}} \, dx\) [139]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(d \tan (e+f x))^{5/2}} \, dx\) [140]
\(\int \genfrac {}{}{}{}{a+i a \tan (e+f x)}{(d \tan (e+f x))^{7/2}} \, dx\) [141]
\(\int (d \tan (e+f x))^{5/2} (a-i a \tan (e+f x)) \, dx\) [142]
\(\int (d \tan (e+f x))^{3/2} (a-i a \tan (e+f x)) \, dx\) [143]
\(\int \sqrt {d \tan (e+f x)} (a-i a \tan (e+f x)) \, dx\) [144]
\(\int \genfrac {}{}{}{}{a-i a \tan (e+f x)}{\sqrt {d \tan (e+f x)}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{a-i a \tan (e+f x)}{(d \tan (e+f x))^{3/2}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{a-i a \tan (e+f x)}{(d \tan (e+f x))^{5/2}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{a-i a \tan (e+f x)}{(d \tan (e+f x))^{7/2}} \, dx\) [148]
\(\int (d \tan (e+f x))^{5/2} (a+i a \tan (e+f x))^2 \, dx\) [149]
\(\int (d \tan (e+f x))^{3/2} (a+i a \tan (e+f x))^2 \, dx\) [150]
\(\int \sqrt {d \tan (e+f x)} (a+i a \tan (e+f x))^2 \, dx\) [151]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{\sqrt {d \tan (e+f x)}} \, dx\) [152]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(d \tan (e+f x))^{3/2}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(d \tan (e+f x))^{5/2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2}{(d \tan (e+f x))^{7/2}} \, dx\) [155]
\(\int (d \tan (e+f x))^{5/2} (a+i a \tan (e+f x))^3 \, dx\) [156]
\(\int (d \tan (e+f x))^{3/2} (a+i a \tan (e+f x))^3 \, dx\) [157]
\(\int \sqrt {d \tan (e+f x)} (a+i a \tan (e+f x))^3 \, dx\) [158]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{\sqrt {d \tan (e+f x)}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(d \tan (e+f x))^{3/2}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(d \tan (e+f x))^{5/2}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(d \tan (e+f x))^{7/2}} \, dx\) [162]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3}{(d \tan (e+f x))^{9/2}} \, dx\) [163]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{7/2}}{a+i a \tan (e+f x)} \, dx\) [164]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{5/2}}{a+i a \tan (e+f x)} \, dx\) [165]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{3/2}}{a+i a \tan (e+f x)} \, dx\) [166]
\(\int \genfrac {}{}{}{}{\sqrt {d \tan (e+f x)}}{a+i a \tan (e+f x)} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \tan (e+f x)} (a+i a \tan (e+f x))} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1}{(d \tan (e+f x))^{3/2} (a+i a \tan (e+f x))} \, dx\) [169]
\(\int \genfrac {}{}{}{}{1}{(d \tan (e+f x))^{5/2} (a+i a \tan (e+f x))} \, dx\) [170]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{9/2}}{(a+i a \tan (e+f x))^2} \, dx\) [171]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{7/2}}{(a+i a \tan (e+f x))^2} \, dx\) [172]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^2} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^2} \, dx\) [174]
\(\int \genfrac {}{}{}{}{\sqrt {d \tan (e+f x)}}{(a+i a \tan (e+f x))^2} \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \tan (e+f x)} (a+i a \tan (e+f x))^2} \, dx\) [176]
\(\int \genfrac {}{}{}{}{1}{(d \tan (e+f x))^{3/2} (a+i a \tan (e+f x))^2} \, dx\) [177]
\(\int \genfrac {}{}{}{}{1}{(d \tan (e+f x))^{5/2} (a+i a \tan (e+f x))^2} \, dx\) [178]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{9/2}}{(a+i a \tan (e+f x))^3} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{7/2}}{(a+i a \tan (e+f x))^3} \, dx\) [180]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{5/2}}{(a+i a \tan (e+f x))^3} \, dx\) [181]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{3/2}}{(a+i a \tan (e+f x))^3} \, dx\) [182]
\(\int \genfrac {}{}{}{}{\sqrt {d \tan (e+f x)}}{(a+i a \tan (e+f x))^3} \, dx\) [183]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \tan (e+f x)} (a+i a \tan (e+f x))^3} \, dx\) [184]
\(\int \genfrac {}{}{}{}{1}{(d \tan (e+f x))^{3/2} (a+i a \tan (e+f x))^3} \, dx\) [185]
\(\int \tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+i a \tan (c+d x)} \, dx\) [186]
\(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+i a \tan (c+d x)} \, dx\) [187]
\(\int \sqrt {\tan (c+d x)} \sqrt {a+i a \tan (c+d x)} \, dx\) [188]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{\sqrt {\tan (c+d x)}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [190]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [191]
\(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [192]
\(\int \tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\) [193]
\(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+i a \tan (c+d x))^{3/2} \, dx\) [194]
\(\int \sqrt {\tan (c+d x)} (a+i a \tan (c+d x))^{3/2} \, dx\) [195]
\(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{\sqrt {\tan (c+d x)}} \, dx\) [196]
\(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [197]
\(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [198]
\(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [199]
\(\int \genfrac {}{}{}{}{(a+i a \tan (c+d x))^{3/2}}{\tan ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [200]