3.7.1 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{9/2}} \, dx\) [601]
3.7.2 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^3}{(d \sec (e+f x))^{11/2}} \, dx\) [602]
3.7.3 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{a+b \tan (e+f x)} \, dx\) [603]
3.7.4 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{a+b \tan (e+f x)} \, dx\) [604]
3.7.5 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{a+b \tan (e+f x)} \, dx\) [605]
3.7.6 \(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{a+b \tan (e+f x)} \, dx\) [606]
3.7.7 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (a+b \tan (e+f x))} \, dx\) [607]
3.7.8 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))} \, dx\) [608]
3.7.9 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))} \, dx\) [609]
3.7.10 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{(a+b \tan (e+f x))^2} \, dx\) [610]
3.7.11 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{(a+b \tan (e+f x))^2} \, dx\) [611]
3.7.12 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{(a+b \tan (e+f x))^2} \, dx\) [612]
3.7.13 \(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{(a+b \tan (e+f x))^2} \, dx\) [613]
3.7.14 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (a+b \tan (e+f x))^2} \, dx\) [614]
3.7.15 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^2} \, dx\) [615]
3.7.16 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^2} \, dx\) [616]
3.7.17 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{(a+b \tan (e+f x))^3} \, dx\) [617]
3.7.18 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{(a+b \tan (e+f x))^3} \, dx\) [618]
3.7.19 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{(a+b \tan (e+f x))^3} \, dx\) [619]
3.7.20 \(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{(a+b \tan (e+f x))^3} \, dx\) [620]
3.7.21 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (a+b \tan (e+f x))^3} \, dx\) [621]
3.7.22 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (a+b \tan (e+f x))^3} \, dx\) [622]
3.7.23 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (a+b \tan (e+f x))^3} \, dx\) [623]
3.7.24 \(\int (d \sec (e+f x))^{5/3} (a+b \tan (e+f x)) \, dx\) [624]
3.7.25 \(\int \sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x)) \, dx\) [625]
3.7.26 \(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{\sqrt [3]{d \sec (e+f x)}} \, dx\) [626]
3.7.27 \(\int \genfrac {}{}{}{}{a+b \tan (e+f x)}{(d \sec (e+f x))^{5/3}} \, dx\) [627]
3.7.28 \(\int (d \sec (e+f x))^{5/3} (a+b \tan (e+f x))^2 \, dx\) [628]
3.7.29 \(\int \sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))^2 \, dx\) [629]
3.7.30 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{\sqrt [3]{d \sec (e+f x)}} \, dx\) [630]
3.7.31 \(\int \genfrac {}{}{}{}{(a+b \tan (e+f x))^2}{(d \sec (e+f x))^{5/3}} \, dx\) [631]
3.7.32 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/3}}{a+b \tan (e+f x)} \, dx\) [632]
3.7.33 \(\int \genfrac {}{}{}{}{\sqrt [3]{d \sec (e+f x)}}{a+b \tan (e+f x)} \, dx\) [633]
3.7.34 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))} \, dx\) [634]
3.7.35 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/3} (a+b \tan (e+f x))} \, dx\) [635]
3.7.36 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/3}}{(a+b \tan (e+f x))^2} \, dx\) [636]
3.7.37 \(\int \genfrac {}{}{}{}{\sqrt [3]{d \sec (e+f x)}}{(a+b \tan (e+f x))^2} \, dx\) [637]
3.7.38 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{d \sec (e+f x)} (a+b \tan (e+f x))^2} \, dx\) [638]
3.7.39 \(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/3} (a+b \tan (e+f x))^2} \, dx\) [639]
3.7.40 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^3 \, dx\) [640]
3.7.41 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^2 \, dx\) [641]
3.7.42 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x)) \, dx\) [642]
3.7.43 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^m}{a+b \tan (e+f x)} \, dx\) [643]
3.7.44 \(\int \genfrac {}{}{}{}{(d \sec (e+f x))^m}{(a+b \tan (e+f x))^2} \, dx\) [644]
3.7.45 \(\int (d \sec (e+f x))^m (a+b \tan (e+f x))^n \, dx\) [645]
3.7.46 \(\int \sec ^6(c+d x) (a+b \tan (c+d x))^n \, dx\) [646]
3.7.47 \(\int \sec ^4(c+d x) (a+b \tan (c+d x))^n \, dx\) [647]
3.7.48 \(\int \sec ^2(c+d x) (a+b \tan (c+d x))^n \, dx\) [648]
3.7.49 \(\int \cos ^2(c+d x) (a+b \tan (c+d x))^n \, dx\) [649]
3.7.50 \(\int \cos ^4(c+d x) (a+b \tan (c+d x))^n \, dx\) [650]
3.7.51 \(\int \sec ^3(c+d x) (a+b \tan (c+d x))^n \, dx\) [651]
3.7.52 \(\int \sec (c+d x) (a+b \tan (c+d x))^n \, dx\) [652]
3.7.53 \(\int \cos (c+d x) (a+b \tan (c+d x))^n \, dx\) [653]
3.7.54 \(\int \cos ^3(c+d x) (a+b \tan (c+d x))^n \, dx\) [654]
3.7.55 \(\int (e \cos (c+d x))^{7/2} (a+i a \tan (c+d x)) \, dx\) [655]
3.7.56 \(\int (e \cos (c+d x))^{5/2} (a+i a \tan (c+d x)) \, dx\) [656]
3.7.57 \(\int (e \cos (c+d x))^{3/2} (a+i a \tan (c+d x)) \, dx\) [657]
3.7.58 \(\int \sqrt {e \cos (c+d x)} (a+i a \tan (c+d x)) \, dx\) [658]
3.7.59 \(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{\sqrt {e \cos (c+d x)}} \, dx\) [659]
3.7.60 \(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{(e \cos (c+d x))^{3/2}} \, dx\) [660]
3.7.61 \(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{(e \cos (c+d x))^{5/2}} \, dx\) [661]
3.7.62 \(\int \genfrac {}{}{}{}{a+i a \tan (c+d x)}{(e \cos (c+d x))^{7/2}} \, dx\) [662]
3.7.63 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{7/2}}{(a+i a \tan (c+d x))^2} \, dx\) [663]
3.7.64 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{(a+i a \tan (c+d x))^2} \, dx\) [664]
3.7.65 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{(a+i a \tan (c+d x))^2} \, dx\) [665]
3.7.66 \(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{(a+i a \tan (c+d x))^2} \, dx\) [666]
3.7.67 \(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} (a+i a \tan (c+d x))^2} \, dx\) [667]
3.7.68 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} (a+i a \tan (c+d x))^2} \, dx\) [668]
3.7.69 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} (a+i a \tan (c+d x))^2} \, dx\) [669]
3.7.70 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} (a+i a \tan (c+d x))^2} \, dx\) [670]
3.7.71 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{9/2} (a+i a \tan (c+d x))^2} \, dx\) [671]
3.7.72 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{11/2} (a+i a \tan (c+d x))^2} \, dx\) [672]
3.7.73 \(\int (e \cos (c+d x))^{7/2} \sqrt {a+i a \tan (c+d x)} \, dx\) [673]
3.7.74 \(\int (e \cos (c+d x))^{5/2} \sqrt {a+i a \tan (c+d x)} \, dx\) [674]
3.7.75 \(\int (e \cos (c+d x))^{3/2} \sqrt {a+i a \tan (c+d x)} \, dx\) [675]
3.7.76 \(\int \sqrt {e \cos (c+d x)} \sqrt {a+i a \tan (c+d x)} \, dx\) [676]
3.7.77 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{\sqrt {e \cos (c+d x)}} \, dx\) [677]
3.7.78 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{(e \cos (c+d x))^{3/2}} \, dx\) [678]
3.7.79 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{(e \cos (c+d x))^{5/2}} \, dx\) [679]
3.7.80 \(\int \genfrac {}{}{}{}{\sqrt {a+i a \tan (c+d x)}}{(e \cos (c+d x))^{7/2}} \, dx\) [680]
3.7.81 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{5/2}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [681]
3.7.82 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^{3/2}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [682]
3.7.83 \(\int \genfrac {}{}{}{}{\sqrt {e \cos (c+d x)}}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [683]
3.7.84 \(\int \genfrac {}{}{}{}{1}{\sqrt {e \cos (c+d x)} \sqrt {a+i a \tan (c+d x)}} \, dx\) [684]
3.7.85 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{3/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [685]
3.7.86 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{5/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [686]
3.7.87 \(\int \genfrac {}{}{}{}{1}{(e \cos (c+d x))^{7/2} \sqrt {a+i a \tan (c+d x)}} \, dx\) [687]
3.7.88 \(\int (e \cos (c+d x))^m (a+i a \tan (c+d x))^n \, dx\) [688]
3.7.89 \(\int (e \cos (c+d x))^m (a+i a \tan (c+d x))^2 \, dx\) [689]
3.7.90 \(\int (e \cos (c+d x))^m (a+i a \tan (c+d x)) \, dx\) [690]
3.7.91 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^m}{a+i a \tan (c+d x)} \, dx\) [691]
3.7.92 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^m}{(a+i a \tan (c+d x))^2} \, dx\) [692]
3.7.93 \(\int (e \cos (c+d x))^m \sqrt {a+i a \tan (c+d x)} \, dx\) [693]
3.7.94 \(\int \genfrac {}{}{}{}{(e \cos (c+d x))^m}{\sqrt {a+i a \tan (c+d x)}} \, dx\) [694]
3.7.95 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x))^3 \, dx\) [695]
3.7.96 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x))^2 \, dx\) [696]
3.7.97 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x)) \, dx\) [697]
3.7.98 \(\int \genfrac {}{}{}{}{(d \cos (e+f x))^m}{a+b \tan (e+f x)} \, dx\) [698]
3.7.99 \(\int \genfrac {}{}{}{}{(d \cos (e+f x))^m}{(a+b \tan (e+f x))^2} \, dx\) [699]
3.7.100 \(\int (d \cos (e+f x))^m (a+b \tan (e+f x))^n \, dx\) [700]