\(\int \csc (e+f x) (b \sec (e+f x))^{5/2} \, dx\) [401]
\(\int \csc ^3(e+f x) (b \sec (e+f x))^{5/2} \, dx\) [402]
\(\int \csc ^5(e+f x) (b \sec (e+f x))^{5/2} \, dx\) [403]
\(\int (b \sec (e+f x))^{5/2} \sin ^6(e+f x) \, dx\) [404]
\(\int (b \sec (e+f x))^{5/2} \sin ^4(e+f x) \, dx\) [405]
\(\int (b \sec (e+f x))^{5/2} \sin ^2(e+f x) \, dx\) [406]
\(\int (b \sec (e+f x))^{5/2} \, dx\) [407]
\(\int \csc ^2(e+f x) (b \sec (e+f x))^{5/2} \, dx\) [408]
\(\int \csc ^4(e+f x) (b \sec (e+f x))^{5/2} \, dx\) [409]
\(\int \genfrac {}{}{}{}{\sin ^7(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [410]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [411]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [412]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [413]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [414]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [415]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [416]
\(\int \genfrac {}{}{}{}{\sin ^6(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [417]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [418]
\(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [419]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)}} \, dx\) [420]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [421]
\(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [422]
\(\int \genfrac {}{}{}{}{\csc ^6(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [423]
\(\int \genfrac {}{}{}{}{\sin ^7(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [424]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [425]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [426]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [427]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [428]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [429]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [430]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [431]
\(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [432]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2}} \, dx\) [433]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [434]
\(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [435]
\(\int \genfrac {}{}{}{}{\csc ^6(e+f x)}{(b \sec (e+f x))^{3/2}} \, dx\) [436]
\(\int \genfrac {}{}{}{}{\sin ^7(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [437]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [438]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [439]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [440]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [441]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [442]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [443]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [444]
\(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [445]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{5/2}} \, dx\) [446]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [447]
\(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [448]
\(\int \genfrac {}{}{}{}{\csc ^6(e+f x)}{(b \sec (e+f x))^{5/2}} \, dx\) [449]
\(\int \sqrt {b \sec (e+f x)} (a \sin (e+f x))^{9/2} \, dx\) [450]
\(\int \sqrt {b \sec (e+f x)} (a \sin (e+f x))^{5/2} \, dx\) [451]
\(\int \sqrt {b \sec (e+f x)} \sqrt {a \sin (e+f x)} \, dx\) [452]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{(a \sin (e+f x))^{3/2}} \, dx\) [453]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{(a \sin (e+f x))^{7/2}} \, dx\) [454]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{(a \sin (e+f x))^{11/2}} \, dx\) [455]
\(\int \sqrt {b \sec (e+f x)} (a \sin (e+f x))^{7/2} \, dx\) [456]
\(\int \sqrt {b \sec (e+f x)} (a \sin (e+f x))^{3/2} \, dx\) [457]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{\sqrt {a \sin (e+f x)}} \, dx\) [458]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{(a \sin (e+f x))^{5/2}} \, dx\) [459]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{(a \sin (e+f x))^{9/2}} \, dx\) [460]
\(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{9}{2}}(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [461]
\(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{5}{2}}(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [462]
\(\int \genfrac {}{}{}{}{\sqrt {\sin (e+f x)}}{\sqrt {b \sec (e+f x)}} \, dx\) [463]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sin ^{\genfrac {}{}{}{}{3}{2}}(e+f x)} \, dx\) [464]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sin ^{\genfrac {}{}{}{}{7}{2}}(e+f x)} \, dx\) [465]
\(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{3}{2}}(e+f x)}{\sqrt {b \sec (e+f x)}} \, dx\) [466]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sqrt {\sin (e+f x)}} \, dx\) [467]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sin ^{\genfrac {}{}{}{}{5}{2}}(e+f x)} \, dx\) [468]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sin ^{\genfrac {}{}{}{}{9}{2}}(e+f x)} \, dx\) [469]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sin ^{\genfrac {}{}{}{}{13}{2}}(e+f x)} \, dx\) [470]
\(\int \genfrac {}{}{}{}{1}{\sqrt {b \sec (e+f x)} \sin ^{\genfrac {}{}{}{}{17}{2}}(e+f x)} \, dx\) [471]
\(\int \genfrac {}{}{}{}{(a \sin (e+f x))^{9/2}}{(b \sec (e+f x))^{3/2}} \, dx\) [472]
\(\int \genfrac {}{}{}{}{(a \sin (e+f x))^{5/2}}{(b \sec (e+f x))^{3/2}} \, dx\) [473]
\(\int \genfrac {}{}{}{}{\sqrt {a \sin (e+f x)}}{(b \sec (e+f x))^{3/2}} \, dx\) [474]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2} (a \sin (e+f x))^{3/2}} \, dx\) [475]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2} (a \sin (e+f x))^{7/2}} \, dx\) [476]
\(\int \genfrac {}{}{}{}{(a \sin (e+f x))^{7/2}}{(b \sec (e+f x))^{3/2}} \, dx\) [477]
\(\int \genfrac {}{}{}{}{(a \sin (e+f x))^{3/2}}{(b \sec (e+f x))^{3/2}} \, dx\) [478]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2} \sqrt {a \sin (e+f x)}} \, dx\) [479]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2} (a \sin (e+f x))^{5/2}} \, dx\) [480]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2} (a \sin (e+f x))^{9/2}} \, dx\) [481]
\(\int \genfrac {}{}{}{}{1}{(b \sec (e+f x))^{3/2} (a \sin (e+f x))^{13/2}} \, dx\) [482]
\(\int (d \sec (a+b x))^{5/2} (c \sin (a+b x))^m \, dx\) [483]
\(\int (d \sec (a+b x))^{3/2} (c \sin (a+b x))^m \, dx\) [484]
\(\int \sqrt {d \sec (a+b x)} (c \sin (a+b x))^m \, dx\) [485]
\(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{\sqrt {d \sec (a+b x)}} \, dx\) [486]
\(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{(d \sec (a+b x))^{3/2}} \, dx\) [487]
\(\int \sec ^n(e+f x) \sin ^m(e+f x) \, dx\) [488]
\(\int \sec ^n(e+f x) (a \sin (e+f x))^m \, dx\) [489]
\(\int (b \sec (e+f x))^n \sin ^m(e+f x) \, dx\) [490]
\(\int (b \sec (e+f x))^n (a \sin (e+f x))^m \, dx\) [491]
\(\int (b \sec (e+f x))^n \sin ^5(e+f x) \, dx\) [492]
\(\int (b \sec (e+f x))^n \sin ^3(e+f x) \, dx\) [493]
\(\int (b \sec (e+f x))^n \sin (e+f x) \, dx\) [494]
\(\int \csc (e+f x) (b \sec (e+f x))^n \, dx\) [495]
\(\int \csc ^3(e+f x) (b \sec (e+f x))^n \, dx\) [496]
\(\int (b \sec (e+f x))^n \sin ^6(e+f x) \, dx\) [497]
\(\int (b \sec (e+f x))^n \sin ^4(e+f x) \, dx\) [498]
\(\int (b \sec (e+f x))^n \sin ^2(e+f x) \, dx\) [499]
\(\int (b \sec (e+f x))^n \, dx\) [500]