3.5.1 \(\int \cot ^6(e+f x) (a+b \sec ^2(e+f x))^{3/2} \, dx\) [401]
3.5.2 \(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [402]
3.5.3 \(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [403]
3.5.4 \(\int \genfrac {}{}{}{}{\tan (e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [404]
3.5.5 \(\int \genfrac {}{}{}{}{\cot (e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [405]
3.5.6 \(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [406]
3.5.7 \(\int \genfrac {}{}{}{}{\cot ^5(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [407]
3.5.8 \(\int \genfrac {}{}{}{}{\tan ^6(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [408]
3.5.9 \(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [409]
3.5.10 \(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [410]
3.5.11 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [411]
3.5.12 \(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [412]
3.5.13 \(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [413]
3.5.14 \(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{\sqrt {a+b \sec ^2(e+f x)}} \, dx\) [414]
3.5.15 \(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [415]
3.5.16 \(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [416]
3.5.17 \(\int \genfrac {}{}{}{}{\tan (e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [417]
3.5.18 \(\int \genfrac {}{}{}{}{\cot (e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [418]
3.5.19 \(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [419]
3.5.20 \(\int \genfrac {}{}{}{}{\cot ^5(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [420]
3.5.21 \(\int \genfrac {}{}{}{}{\tan ^6(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [421]
3.5.22 \(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [422]
3.5.23 \(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [423]
3.5.24 \(\int \genfrac {}{}{}{}{1}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [424]
3.5.25 \(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [425]
3.5.26 \(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [426]
3.5.27 \(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{(a+b \sec ^2(e+f x))^{3/2}} \, dx\) [427]
3.5.28 \(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [428]
3.5.29 \(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [429]
3.5.30 \(\int \genfrac {}{}{}{}{\tan (e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [430]
3.5.31 \(\int \genfrac {}{}{}{}{\cot (e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [431]
3.5.32 \(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [432]
3.5.33 \(\int \genfrac {}{}{}{}{\cot ^5(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [433]
3.5.34 \(\int \genfrac {}{}{}{}{\tan ^6(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [434]
3.5.35 \(\int \genfrac {}{}{}{}{\tan ^4(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [435]
3.5.36 \(\int \genfrac {}{}{}{}{\tan ^2(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [436]
3.5.37 \(\int \genfrac {}{}{}{}{1}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [437]
3.5.38 \(\int \genfrac {}{}{}{}{\cot ^2(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [438]
3.5.39 \(\int \genfrac {}{}{}{}{\cot ^4(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [439]
3.5.40 \(\int \genfrac {}{}{}{}{\cot ^6(e+f x)}{(a+b \sec ^2(e+f x))^{5/2}} \, dx\) [440]
3.5.41 \(\int (a+b \sec ^2(e+f x))^p (d \tan (e+f x))^m \, dx\) [441]
3.5.42 \(\int (a+b \sec ^2(e+f x))^p \tan ^5(e+f x) \, dx\) [442]
3.5.43 \(\int (a+b \sec ^2(e+f x))^p \tan ^3(e+f x) \, dx\) [443]
3.5.44 \(\int (a+b \sec ^2(e+f x))^p \tan (e+f x) \, dx\) [444]
3.5.45 \(\int \cot (e+f x) (a+b \sec ^2(e+f x))^p \, dx\) [445]
3.5.46 \(\int \cot ^3(e+f x) (a+b \sec ^2(e+f x))^p \, dx\) [446]
3.5.47 \(\int (a+b \sec ^2(e+f x))^p \tan ^4(e+f x) \, dx\) [447]
3.5.48 \(\int (a+b \sec ^2(e+f x))^p \tan ^2(e+f x) \, dx\) [448]
3.5.49 \(\int (a+b \sec ^2(e+f x))^p \, dx\) [449]
3.5.50 \(\int \cot ^2(e+f x) (a+b \sec ^2(e+f x))^p \, dx\) [450]
3.5.51 \(\int \cot ^4(e+f x) (a+b \sec ^2(e+f x))^p \, dx\) [451]
3.5.52 \(\int (a+b \sec ^3(e+f x)) \tan ^5(e+f x) \, dx\) [452]
3.5.53 \(\int (a+b \sec ^3(e+f x)) \tan ^3(e+f x) \, dx\) [453]
3.5.54 \(\int (a+b \sec ^3(e+f x)) \tan (e+f x) \, dx\) [454]
3.5.55 \(\int \cot (e+f x) (a+b \sec ^3(e+f x)) \, dx\) [455]
3.5.56 \(\int \cot ^3(e+f x) (a+b \sec ^3(e+f x)) \, dx\) [456]
3.5.57 \(\int \genfrac {}{}{}{}{\tan ^5(e+f x)}{a+b \sec ^3(e+f x)} \, dx\) [457]
3.5.58 \(\int \genfrac {}{}{}{}{\tan ^3(e+f x)}{a+b \sec ^3(e+f x)} \, dx\) [458]
3.5.59 \(\int \genfrac {}{}{}{}{\tan (e+f x)}{a+b \sec ^3(e+f x)} \, dx\) [459]
3.5.60 \(\int \genfrac {}{}{}{}{\cot (e+f x)}{a+b \sec ^3(e+f x)} \, dx\) [460]
3.5.61 \(\int \genfrac {}{}{}{}{\cot ^3(e+f x)}{a+b \sec ^3(e+f x)} \, dx\) [461]
3.5.62 \(\int (a+b (c \sec (e+f x))^n)^p (d \tan (e+f x))^m \, dx\) [462]
3.5.63 \(\int (a+b (c \sec (e+f x))^n)^p \tan ^5(e+f x) \, dx\) [463]
3.5.64 \(\int (a+b (c \sec (e+f x))^n)^p \tan ^3(e+f x) \, dx\) [464]
3.5.65 \(\int (a+b (c \sec (e+f x))^n)^p \tan (e+f x) \, dx\) [465]
3.5.66 \(\int \cot (e+f x) (a+b (c \sec (e+f x))^n)^p \, dx\) [466]
3.5.67 \(\int \cot ^3(e+f x) (a+b (c \sec (e+f x))^n)^p \, dx\) [467]
3.5.68 \(\int (a+b (c \sec (e+f x))^n)^p \tan ^2(e+f x) \, dx\) [468]
3.5.69 \(\int (a+b (c \sec (e+f x))^n)^p \, dx\) [469]
3.5.70 \(\int \cot ^2(e+f x) (a+b (c \sec (e+f x))^n)^p \, dx\) [470]