\(\int (a+b \sec ^2(e+f x)) \sin ^7(e+f x) \, dx\) [1]
\(\int (a+b \sec ^2(e+f x)) \sin ^5(e+f x) \, dx\) [2]
\(\int (a+b \sec ^2(e+f x)) \sin ^3(e+f x) \, dx\) [3]
\(\int (a+b \sec ^2(e+f x)) \sin (e+f x) \, dx\) [4]
\(\int \csc (e+f x) (a+b \sec ^2(e+f x)) \, dx\) [5]
\(\int \csc ^3(e+f x) (a+b \sec ^2(e+f x)) \, dx\) [6]
\(\int \csc ^5(e+f x) (a+b \sec ^2(e+f x)) \, dx\) [7]
\(\int (a+b \sec ^2(e+f x)) \sin ^6(e+f x) \, dx\) [8]
\(\int (a+b \sec ^2(e+f x)) \sin ^4(e+f x) \, dx\) [9]
\(\int (a+b \sec ^2(e+f x)) \sin ^2(e+f x) \, dx\) [10]
\(\int (a+b \sec ^2(e+f x)) \, dx\) [11]
\(\int \csc ^2(e+f x) (a+b \sec ^2(e+f x)) \, dx\) [12]
\(\int \csc ^4(e+f x) (a+b \sec ^2(e+f x)) \, dx\) [13]
\(\int \csc ^6(e+f x) (a+b \sec ^2(e+f x)) \, dx\) [14]
\(\int (a+b \sec ^2(e+f x))^2 \sin ^5(e+f x) \, dx\) [15]
\(\int (a+b \sec ^2(e+f x))^2 \sin ^3(e+f x) \, dx\) [16]
\(\int (a+b \sec ^2(e+f x))^2 \sin (e+f x) \, dx\) [17]
\(\int \csc (e+f x) (a+b \sec ^2(e+f x))^2 \, dx\) [18]
\(\int \csc ^3(e+f x) (a+b \sec ^2(e+f x))^2 \, dx\) [19]
\(\int \csc ^5(e+f x) (a+b \sec ^2(e+f x))^2 \, dx\) [20]
\(\int (a+b \sec ^2(e+f x))^2 \sin ^6(e+f x) \, dx\) [21]
\(\int (a+b \sec ^2(e+f x))^2 \sin ^4(e+f x) \, dx\) [22]
\(\int (a+b \sec ^2(e+f x))^2 \sin ^2(e+f x) \, dx\) [23]
\(\int (a+b \sec ^2(e+f x))^2 \, dx\) [24]
\(\int \csc ^2(e+f x) (a+b \sec ^2(e+f x))^2 \, dx\) [25]
\(\int \csc ^4(e+f x) (a+b \sec ^2(e+f x))^2 \, dx\) [26]
\(\int \csc ^6(e+f x) (a+b \sec ^2(e+f x))^2 \, dx\) [27]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [28]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [29]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [30]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [31]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [32]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [33]
\(\int \genfrac {}{}{}{}{\sin ^6(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [34]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [35]
\(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [36]
\(\int \genfrac {}{}{}{}{1}{a+b \sec ^2(e+f x)} \, dx\) [37]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [38]
\(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [39]
\(\int \genfrac {}{}{}{}{\csc ^6(e+f x)}{a+b \sec ^2(e+f x)} \, dx\) [40]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [41]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [42]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [43]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [44]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [45]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [46]
\(\int \genfrac {}{}{}{}{\sin ^6(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [47]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [48]
\(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [49]
\(\int \genfrac {}{}{}{}{1}{(a+b \sec ^2(e+f x))^2} \, dx\) [50]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [51]
\(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [52]
\(\int \genfrac {}{}{}{}{\csc ^6(e+f x)}{(a+b \sec ^2(e+f x))^2} \, dx\) [53]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [54]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [55]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [56]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [57]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [58]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [59]
\(\int \genfrac {}{}{}{}{\sin ^6(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [60]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [61]
\(\int \genfrac {}{}{}{}{\sin ^2(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [62]
\(\int \genfrac {}{}{}{}{1}{(a+b \sec ^2(e+f x))^3} \, dx\) [63]
\(\int \genfrac {}{}{}{}{\csc ^2(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [64]
\(\int \genfrac {}{}{}{}{\csc ^4(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [65]
\(\int \genfrac {}{}{}{}{\csc ^6(e+f x)}{(a+b \sec ^2(e+f x))^3} \, dx\) [66]
\(\int \sqrt {a+b \sec ^2(e+f x)} \sin ^5(e+f x) \, dx\) [67]
\(\int \sqrt {a+b \sec ^2(e+f x)} \sin ^3(e+f x) \, dx\) [68]
\(\int \sqrt {a+b \sec ^2(e+f x)} \sin (e+f x) \, dx\) [69]
\(\int \csc (e+f x) \sqrt {a+b \sec ^2(e+f x)} \, dx\) [70]
\(\int \csc ^3(e+f x) \sqrt {a+b \sec ^2(e+f x)} \, dx\) [71]
\(\int \csc ^5(e+f x) \sqrt {a+b \sec ^2(e+f x)} \, dx\) [72]
\(\int \sqrt {a+b \sec ^2(e+f x)} \sin ^6(e+f x) \, dx\) [73]
\(\int \sqrt {a+b \sec ^2(e+f x)} \sin ^4(e+f x) \, dx\) [74]
\(\int \sqrt {a+b \sec ^2(e+f x)} \sin ^2(e+f x) \, dx\) [75]
\(\int \sqrt {a+b \sec ^2(e+f x)} \, dx\) [76]
\(\int \csc ^2(e+f x) \sqrt {a+b \sec ^2(e+f x)} \, dx\) [77]
\(\int \csc ^4(e+f x) \sqrt {a+b \sec ^2(e+f x)} \, dx\) [78]
\(\int \csc ^6(e+f x) \sqrt {a+b \sec ^2(e+f x)} \, dx\) [79]
\(\int (a+b \sec ^2(e+f x))^{3/2} \sin ^5(e+f x) \, dx\) [80]
\(\int (a+b \sec ^2(e+f x))^{3/2} \sin ^3(e+f x) \, dx\) [81]
\(\int (a+b \sec ^2(e+f x))^{3/2} \sin (e+f x) \, dx\) [82]
\(\int \csc (e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [83]
\(\int \csc ^3(e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [84]
\(\int \csc ^5(e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [85]
\(\int (a+b \sec ^2(e+f x))^{3/2} \sin ^6(e+f x) \, dx\) [86]
\(\int (a+b \sec ^2(e+f x))^{3/2} \sin ^4(e+f x) \, dx\) [87]
\(\int (a+b \sec ^2(e+f x))^{3/2} \sin ^2(e+f x) \, dx\) [88]
\(\int (a+b \sec ^2(e+f x))^{3/2} \, dx\) [89]
\(\int \csc ^2(e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [90]
\(\int \csc ^4(e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [91]
\(\int \csc ^6(e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [92]
\(\int \genfrac {}{}{}{}{\sin ^5(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [93]
\(\int \genfrac {}{}{}{}{\sin ^3(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [94]
\(\int \genfrac {}{}{}{}{\sin (e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [95]
\(\int \genfrac {}{}{}{}{\csc (e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [96]
\(\int \genfrac {}{}{}{}{\csc ^3(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [97]
\(\int \genfrac {}{}{}{}{\csc ^5(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [98]
\(\int \genfrac {}{}{}{}{\sin ^6(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [99]
\(\int \genfrac {}{}{}{}{\sin ^4(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [100]