\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))} \, dx\) [401]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [402]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [403]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [404]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [405]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [406]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))^2} \, dx\) [407]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [408]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [409]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [410]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [411]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [412]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [413]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))^3} \, dx\) [414]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [415]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [416]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [417]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [418]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))} \, dx\) [419]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [420]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [421]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [422]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [423]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [424]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))^2} \, dx\) [425]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [426]
   \(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [427]
   \(\int \sqrt {\tan (c+d x)} \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [428]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [429]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [430]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [431]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [432]
   \(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [433]
   \(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [434]
   \(\int \sqrt {\tan (c+d x)} (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [435]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [436]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [437]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [438]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [439]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [440]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [441]
   \(\int \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [442]
   \(\int \sqrt {\tan (c+d x)} (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [443]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\sqrt {\tan (c+d x)}} \, dx\) [444]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [445]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [446]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [447]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{9}{2}}(c+d x)} \, dx\) [448]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{11}{2}}(c+d x)} \, dx\) [449]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{13}{2}}(c+d x)} \, dx\) [450]
   \(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (\genfrac {}{}{}{}{3 b B}{2 a}+B \tan (c+d x))}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [451]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [452]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [453]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} \sqrt {a+b \tan (c+d x)}} \, dx\) [454]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [455]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [456]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [457]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [458]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [459]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [460]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [461]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [462]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [463]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [464]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [465]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))^{5/2}} \, dx\) [466]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [467]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [468]
   \(\int \genfrac {}{}{}{}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [469]
   \(\int \genfrac {}{}{}{}{\sqrt {\tan (c+d x)} (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [470]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\tan (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [471]
   \(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [472]
   \(\int (a+b \tan (c+d x))^{2/3} (A+B \tan (c+d x)) \, dx\) [473]
   \(\int \sqrt [3]{a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [474]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt [3]{a+b \tan (c+d x)}} \, dx\) [475]
   \(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{(a+b \tan (c+d x))^{2/3}} \, dx\) [476]
   \(\int \genfrac {}{}{}{}{i-\tan (e+f x)}{\sqrt [3]{c+d \tan (e+f x)}} \, dx\) [477]
   \(\int \genfrac {}{}{}{}{d-c \tan (e+f x)}{(c+d \tan (e+f x))^{2/3}} \, dx\) [478]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x))^4 (A+B \tan (c+d x)) \, dx\) [479]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x))^3 (A+B \tan (c+d x)) \, dx\) [480]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x))^2 (A+B \tan (c+d x)) \, dx\) [481]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x)) (A+B \tan (c+d x)) \, dx\) [482]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [483]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^2} \, dx\) [484]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [485]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^4} \, dx\) [486]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [487]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [488]
   \(\int \tan ^m(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [489]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [490]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [491]
   \(\int \genfrac {}{}{}{}{\tan ^m(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [492]
   \(\int \tan ^m(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [493]
   \(\int \tan ^4(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [494]
   \(\int \tan ^3(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [495]
   \(\int \tan ^2(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [496]
   \(\int \tan (c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [497]
   \(\int (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [498]
   \(\int \cot (c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [499]
   \(\int \cot ^2(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [500]