\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^2} \, dx\) [601]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [602]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^2} \, dx\) [603]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [604]
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^3} \, dx\) [605]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^3} \, dx\) [606]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [607]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [608]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^3} \, dx\) [609]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [610]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [611]
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (a B+b B \tan (c+d x))}{a+b \tan (c+d x)} \, dx\) [612]
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))} \, dx\) [613]
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [614]
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))} \, dx\) [615]
\(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [616]
\(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [617]
\(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [618]
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [619]
\(\int \sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x)) \, dx\) [620]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [621]
\(\int \genfrac {}{}{}{}{\sqrt {a+b \tan (c+d x)} (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [622]
\(\int \cot ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [623]
\(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [624]
\(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [625]
\(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [626]
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [627]
\(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x)) \, dx\) [628]
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [629]
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{3/2} (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [630]
\(\int \cot ^{\genfrac {}{}{}{}{13}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [631]
\(\int \cot ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [632]
\(\int \cot ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [633]
\(\int \cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [634]
\(\int \cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [635]
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [636]
\(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x)) \, dx\) [637]
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [638]
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^{5/2} (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [639]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [640]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [641]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [642]
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{\sqrt {a+b \tan (c+d x)}} \, dx\) [643]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} \sqrt {a+b \tan (c+d x)}} \, dx\) [644]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+b \tan (c+d x)}} \, dx\) [645]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [646]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [647]
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [648]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [649]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [650]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [651]
\(\int \genfrac {}{}{}{}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [652]
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (A+B \tan (c+d x))}{(a+b \tan (c+d x))^{5/2}} \, dx\) [653]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{5/2}} \, dx\) [654]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [655]
\(\int \genfrac {}{}{}{}{A+B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+b \tan (c+d x))^{5/2}} \, dx\) [656]
\(\int \genfrac {}{}{}{}{\sqrt {\cot (c+d x)} (a B+b B \tan (c+d x))}{(a+b \tan (c+d x))^{3/2}} \, dx\) [657]
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\sqrt {\cot (c+d x)} (a+b \tan (c+d x))^{3/2}} \, dx\) [658]
\(\int \genfrac {}{}{}{}{a B+b B \tan (c+d x)}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^{3/2}} \, dx\) [659]
\(\int \cot ^m(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [660]
\(\int \cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [661]
\(\int \sqrt {\cot (c+d x)} (a+b \tan (c+d x))^n (A+B \tan (c+d x)) \, dx\) [662]
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n (A+B \tan (c+d x))}{\sqrt {\cot (c+d x)}} \, dx\) [663]
\(\int \genfrac {}{}{}{}{(a+b \tan (c+d x))^n (A+B \tan (c+d x))}{\cot ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [664]
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [665]
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^4 \, dx\) [666]
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^3 \, dx\) [667]
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [668]
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [669]
\(\int (a+i a \tan (e+f x)) (A+B \tan (e+f x)) \, dx\) [670]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{c-i c \tan (e+f x)} \, dx\) [671]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^2} \, dx\) [672]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^3} \, dx\) [673]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^4} \, dx\) [674]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x)) (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^5} \, dx\) [675]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [676]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^5 \, dx\) [677]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^4 \, dx\) [678]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^3 \, dx\) [679]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [680]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [681]
\(\int (a+i a \tan (e+f x))^2 (A+B \tan (e+f x)) \, dx\) [682]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{c-i c \tan (e+f x)} \, dx\) [683]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^2} \, dx\) [684]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^3} \, dx\) [685]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^4} \, dx\) [686]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^5} \, dx\) [687]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^2 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^6} \, dx\) [688]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^n \, dx\) [689]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^6 \, dx\) [690]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^5 \, dx\) [691]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^4 \, dx\) [692]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^3 \, dx\) [693]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x))^2 \, dx\) [694]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) (c-i c \tan (e+f x)) \, dx\) [695]
\(\int (a+i a \tan (e+f x))^3 (A+B \tan (e+f x)) \, dx\) [696]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{c-i c \tan (e+f x)} \, dx\) [697]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^2} \, dx\) [698]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^3} \, dx\) [699]
\(\int \genfrac {}{}{}{}{(a+i a \tan (e+f x))^3 (A+B \tan (e+f x))}{(c-i c \tan (e+f x))^4} \, dx\) [700]