3.4.1 \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [301]
3.4.2 \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{\tan (c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [303]
3.4.4 \(\int \genfrac {}{}{}{}{\cot (c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [305]
3.4.6 \(\int \genfrac {}{}{}{}{\cot ^5(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [306]
3.4.7 \(\int \genfrac {}{}{}{}{\tan ^6(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [307]
3.4.8 \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [308]
3.4.9 \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [309]
3.4.10 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [310]
3.4.11 \(\int \genfrac {}{}{}{}{\cot ^4(c+d x)}{(a+b \sec (c+d x))^2} \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^{5/2}}{a+b \sec (c+d x)} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^{3/2}}{a+b \sec (c+d x)} \, dx\) [313]
3.4.14 \(\int \genfrac {}{}{}{}{\sqrt {e \tan (c+d x)}}{a+b \sec (c+d x)} \, dx\) [314]
3.4.15 \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x)) \sqrt {e \tan (c+d x)}} \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x)) (e \tan (c+d x))^{3/2}} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x)) (e \tan (c+d x))^{5/2}} \, dx\) [317]
3.4.18 \(\int \sqrt {a+b \sec (c+d x)} \tan ^5(c+d x) \, dx\) [318]
3.4.19 \(\int \sqrt {a+b \sec (c+d x)} \tan ^3(c+d x) \, dx\) [319]
3.4.20 \(\int \sqrt {a+b \sec (c+d x)} \tan (c+d x) \, dx\) [320]
3.4.21 \(\int \cot (c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [321]
3.4.22 \(\int \cot ^3(c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [322]
3.4.23 \(\int \sqrt {a+b \sec (c+d x)} \tan ^2(c+d x) \, dx\) [323]
3.4.24 \(\int \sqrt {a+b \sec (c+d x)} \, dx\) [324]
3.4.25 \(\int \cot ^2(c+d x) \sqrt {a+b \sec (c+d x)} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [327]
3.4.28 \(\int \genfrac {}{}{}{}{\tan (c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{\cot (c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sec (c+d x)}} \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{\sqrt {a+b \sec (c+d x)}} \, dx\) [334]
3.4.35 \(\int \genfrac {}{}{}{}{\tan ^5(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [335]
3.4.36 \(\int \genfrac {}{}{}{}{\tan ^3(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [336]
3.4.37 \(\int \genfrac {}{}{}{}{\tan (c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [337]
3.4.38 \(\int \genfrac {}{}{}{}{\cot (c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [338]
3.4.39 \(\int \genfrac {}{}{}{}{\cot ^3(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [339]
3.4.40 \(\int \genfrac {}{}{}{}{\tan ^4(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [340]
3.4.41 \(\int \genfrac {}{}{}{}{\tan ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [341]
3.4.42 \(\int \genfrac {}{}{}{}{1}{(a+b \sec (c+d x))^{3/2}} \, dx\) [342]
3.4.43 \(\int \genfrac {}{}{}{}{\cot ^2(c+d x)}{(a+b \sec (c+d x))^{3/2}} \, dx\) [343]
3.4.44 \(\int (a+b \sec (e+f x))^3 (d \tan (e+f x))^n \, dx\) [344]
3.4.45 \(\int (a+b \sec (e+f x))^2 (d \tan (e+f x))^n \, dx\) [345]
3.4.46 \(\int (a+b \sec (e+f x)) (d \tan (e+f x))^n \, dx\) [346]
3.4.47 \(\int \genfrac {}{}{}{}{(d \tan (e+f x))^n}{a+b \sec (e+f x)} \, dx\) [347]
3.4.48 \(\int (a+b \sec (c+d x))^{3/2} (e \tan (c+d x))^m \, dx\) [348]
3.4.49 \(\int \sqrt {a+b \sec (c+d x)} (e \tan (c+d x))^m \, dx\) [349]
3.4.50 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{\sqrt {a+b \sec (c+d x)}} \, dx\) [350]
3.4.51 \(\int \genfrac {}{}{}{}{(e \tan (c+d x))^m}{(a+b \sec (c+d x))^{3/2}} \, dx\) [351]
3.4.52 \(\int (a+b \sec (c+d x))^n (e \tan (c+d x))^m \, dx\) [352]
3.4.53 \(\int (a+b \sec (c+d x))^n \tan ^5(c+d x) \, dx\) [353]
3.4.54 \(\int (a+b \sec (c+d x))^n \tan ^3(c+d x) \, dx\) [354]
3.4.55 \(\int (a+b \sec (c+d x))^n \tan (c+d x) \, dx\) [355]
3.4.56 \(\int \cot (c+d x) (a+b \sec (c+d x))^n \, dx\) [356]
3.4.57 \(\int \cot ^3(c+d x) (a+b \sec (c+d x))^n \, dx\) [357]
3.4.58 \(\int (a+b \sec (c+d x))^n \tan ^4(c+d x) \, dx\) [358]
3.4.59 \(\int (a+b \sec (c+d x))^n \tan ^2(c+d x) \, dx\) [359]
3.4.60 \(\int \cot ^2(c+d x) (a+b \sec (c+d x))^n \, dx\) [360]
3.4.61 \(\int \cot ^4(c+d x) (a+b \sec (c+d x))^n \, dx\) [361]
3.4.62 \(\int (a+b \sec (c+d x))^n \tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \, dx\) [362]
3.4.63 \(\int (a+b \sec (c+d x))^n \sqrt {\tan (c+d x)} \, dx\) [363]
3.4.64 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^n}{\sqrt {\tan (c+d x)}} \, dx\) [364]
3.4.65 \(\int \genfrac {}{}{}{}{(a+b \sec (c+d x))^n}{\tan ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [365]