3.3 Integrals 201 to 299

  3.3.1 \(\int \genfrac {}{}{}{}{1}{(b \sec (c+d x))^{4/3}} \, dx\) [201]
  3.3.2 \(\int \genfrac {}{}{}{}{\cos (c+d x)}{(b \sec (c+d x))^{4/3}} \, dx\) [202]
  3.3.3 \(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(b \sec (c+d x))^{4/3}} \, dx\) [203]
  3.3.4 \(\int \sec ^m(c+d x) (b \sec (c+d x))^{4/3} \, dx\) [204]
  3.3.5 \(\int \sec ^m(c+d x) (b \sec (c+d x))^{2/3} \, dx\) [205]
  3.3.6 \(\int \sec ^m(c+d x) \sqrt [3]{b \sec (c+d x)} \, dx\) [206]
  3.3.7 \(\int \genfrac {}{}{}{}{\sec ^m(c+d x)}{\sqrt [3]{b \sec (c+d x)}} \, dx\) [207]
  3.3.8 \(\int \genfrac {}{}{}{}{\sec ^m(c+d x)}{(b \sec (c+d x))^{2/3}} \, dx\) [208]
  3.3.9 \(\int \genfrac {}{}{}{}{\sec ^m(c+d x)}{(b \sec (c+d x))^{4/3}} \, dx\) [209]
  3.3.10 \(\int \sec ^m(c+d x) (b \sec (c+d x))^n \, dx\) [210]
  3.3.11 \(\int \sec ^2(c+d x) (b \sec (c+d x))^n \, dx\) [211]
  3.3.12 \(\int \sec (c+d x) (b \sec (c+d x))^n \, dx\) [212]
  3.3.13 \(\int (b \sec (c+d x))^n \, dx\) [213]
  3.3.14 \(\int \cos (c+d x) (b \sec (c+d x))^n \, dx\) [214]
  3.3.15 \(\int \cos ^2(c+d x) (b \sec (c+d x))^n \, dx\) [215]
  3.3.16 \(\int \cos ^3(c+d x) (b \sec (c+d x))^n \, dx\) [216]
  3.3.17 \(\int \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (b \sec (c+d x))^n \, dx\) [217]
  3.3.18 \(\int \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (b \sec (c+d x))^n \, dx\) [218]
  3.3.19 \(\int \sqrt {\sec (c+d x)} (b \sec (c+d x))^n \, dx\) [219]
  3.3.20 \(\int \genfrac {}{}{}{}{(b \sec (c+d x))^n}{\sqrt {\sec (c+d x)}} \, dx\) [220]
  3.3.21 \(\int \genfrac {}{}{}{}{(b \sec (c+d x))^n}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [221]
  3.3.22 \(\int \genfrac {}{}{}{}{(b \sec (c+d x))^n}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [222]
  3.3.23 \(\int (d \sec (a+b x))^{7/2} \sin (a+b x) \, dx\) [223]
  3.3.24 \(\int (d \sec (a+b x))^{5/2} \sin (a+b x) \, dx\) [224]
  3.3.25 \(\int (d \sec (a+b x))^{3/2} \sin (a+b x) \, dx\) [225]
  3.3.26 \(\int \sqrt {d \sec (a+b x)} \sin (a+b x) \, dx\) [226]
  3.3.27 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sqrt {d \sec (a+b x)}} \, dx\) [227]
  3.3.28 \(\int (d \sec (a+b x))^{5/2} \sin ^3(a+b x) \, dx\) [228]
  3.3.29 \(\int (d \sec (a+b x))^{9/2} \sin ^3(a+b x) \, dx\) [229]
  3.3.30 \(\int (d \csc (a+b x))^{9/2} \sqrt {c \sec (a+b x)} \, dx\) [230]
  3.3.31 \(\int (d \csc (a+b x))^{7/2} \sqrt {c \sec (a+b x)} \, dx\) [231]
  3.3.32 \(\int (d \csc (a+b x))^{5/2} \sqrt {c \sec (a+b x)} \, dx\) [232]
  3.3.33 \(\int (d \csc (a+b x))^{3/2} \sqrt {c \sec (a+b x)} \, dx\) [233]
  3.3.34 \(\int \sqrt {d \csc (a+b x)} \sqrt {c \sec (a+b x)} \, dx\) [234]
  3.3.35 \(\int \genfrac {}{}{}{}{\sqrt {c \sec (a+b x)}}{\sqrt {d \csc (a+b x)}} \, dx\) [235]
  3.3.36 \(\int \genfrac {}{}{}{}{\sqrt {c \sec (a+b x)}}{(d \csc (a+b x))^{3/2}} \, dx\) [236]
  3.3.37 \(\int \genfrac {}{}{}{}{\sqrt {c \sec (a+b x)}}{(d \csc (a+b x))^{5/2}} \, dx\) [237]
  3.3.38 \(\int (d \csc (a+b x))^{9/2} (c \sec (a+b x))^{3/2} \, dx\) [238]
  3.3.39 \(\int (d \csc (a+b x))^{7/2} (c \sec (a+b x))^{3/2} \, dx\) [239]
  3.3.40 \(\int (d \csc (a+b x))^{5/2} (c \sec (a+b x))^{3/2} \, dx\) [240]
  3.3.41 \(\int (d \csc (a+b x))^{3/2} (c \sec (a+b x))^{3/2} \, dx\) [241]
  3.3.42 \(\int \sqrt {d \csc (a+b x)} (c \sec (a+b x))^{3/2} \, dx\) [242]
  3.3.43 \(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{3/2}}{\sqrt {d \csc (a+b x)}} \, dx\) [243]
  3.3.44 \(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{3/2}}{(d \csc (a+b x))^{3/2}} \, dx\) [244]
  3.3.45 \(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{3/2}}{(d \csc (a+b x))^{5/2}} \, dx\) [245]
  3.3.46 \(\int (d \csc (a+b x))^{9/2} (c \sec (a+b x))^{5/2} \, dx\) [246]
  3.3.47 \(\int (d \csc (a+b x))^{7/2} (c \sec (a+b x))^{5/2} \, dx\) [247]
  3.3.48 \(\int (d \csc (a+b x))^{5/2} (c \sec (a+b x))^{5/2} \, dx\) [248]
  3.3.49 \(\int (d \csc (a+b x))^{3/2} (c \sec (a+b x))^{5/2} \, dx\) [249]
  3.3.50 \(\int \sqrt {d \csc (a+b x)} (c \sec (a+b x))^{5/2} \, dx\) [250]
  3.3.51 \(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{5/2}}{\sqrt {d \csc (a+b x)}} \, dx\) [251]
  3.3.52 \(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{5/2}}{(d \csc (a+b x))^{3/2}} \, dx\) [252]
  3.3.53 \(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{5/2}}{(d \csc (a+b x))^{5/2}} \, dx\) [253]
  3.3.54 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{9/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [254]
  3.3.55 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{7/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [255]
  3.3.56 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{5/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [256]
  3.3.57 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{3/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [257]
  3.3.58 \(\int \genfrac {}{}{}{}{\sqrt {d \csc (a+b x)}}{\sqrt {c \sec (a+b x)}} \, dx\) [258]
  3.3.59 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (a+b x)} \sqrt {c \sec (a+b x)}} \, dx\) [259]
  3.3.60 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{3/2} \sqrt {c \sec (a+b x)}} \, dx\) [260]
  3.3.61 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{5/2} \sqrt {c \sec (a+b x)}} \, dx\) [261]
  3.3.62 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{11/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [262]
  3.3.63 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{9/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [263]
  3.3.64 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{7/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [264]
  3.3.65 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{5/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [265]
  3.3.66 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{3/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [266]
  3.3.67 \(\int \genfrac {}{}{}{}{\sqrt {d \csc (a+b x)}}{(c \sec (a+b x))^{3/2}} \, dx\) [267]
  3.3.68 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (a+b x)} (c \sec (a+b x))^{3/2}} \, dx\) [268]
  3.3.69 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{3/2} (c \sec (a+b x))^{3/2}} \, dx\) [269]
  3.3.70 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{5/2} (c \sec (a+b x))^{3/2}} \, dx\) [270]
  3.3.71 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{9/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [271]
  3.3.72 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{7/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [272]
  3.3.73 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{5/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [273]
  3.3.74 \(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{3/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [274]
  3.3.75 \(\int \genfrac {}{}{}{}{\sqrt {d \csc (a+b x)}}{(c \sec (a+b x))^{5/2}} \, dx\) [275]
  3.3.76 \(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (a+b x)} (c \sec (a+b x))^{5/2}} \, dx\) [276]
  3.3.77 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{3/2} (c \sec (a+b x))^{5/2}} \, dx\) [277]
  3.3.78 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{5/2} (c \sec (a+b x))^{5/2}} \, dx\) [278]
  3.3.79 \(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{7/2} (c \sec (a+b x))^{5/2}} \, dx\) [279]
  3.3.80 \(\int \csc ^n(e+f x) \sec ^m(e+f x) \, dx\) [280]
  3.3.81 \(\int \csc ^n(e+f x) (a \sec (e+f x))^m \, dx\) [281]
  3.3.82 \(\int (b \csc (e+f x))^n \sec ^m(e+f x) \, dx\) [282]
  3.3.83 \(\int (b \csc (e+f x))^n (a \sec (e+f x))^m \, dx\) [283]
  3.3.84 \(\int (b \csc (e+f x))^n \sec ^5(e+f x) \, dx\) [284]
  3.3.85 \(\int (b \csc (e+f x))^n \sec ^3(e+f x) \, dx\) [285]
  3.3.86 \(\int (b \csc (e+f x))^n \sec (e+f x) \, dx\) [286]
  3.3.87 \(\int \cos (e+f x) (b \csc (e+f x))^n \, dx\) [287]
  3.3.88 \(\int \cos ^3(e+f x) (b \csc (e+f x))^n \, dx\) [288]
  3.3.89 \(\int \cos ^5(e+f x) (b \csc (e+f x))^n \, dx\) [289]
  3.3.90 \(\int (b \csc (e+f x))^n \sec ^6(e+f x) \, dx\) [290]
  3.3.91 \(\int (b \csc (e+f x))^n \sec ^4(e+f x) \, dx\) [291]
  3.3.92 \(\int (b \csc (e+f x))^n \sec ^2(e+f x) \, dx\) [292]
  3.3.93 \(\int (b \csc (e+f x))^n \, dx\) [293]
  3.3.94 \(\int \cos ^2(e+f x) (b \csc (e+f x))^n \, dx\) [294]
  3.3.95 \(\int \cos ^4(e+f x) (b \csc (e+f x))^n \, dx\) [295]
  3.3.96 \(\int (b \csc (e+f x))^n (c \sec (e+f x))^{3/2} \, dx\) [296]
  3.3.97 \(\int (b \csc (e+f x))^n \sqrt {c \sec (e+f x)} \, dx\) [297]
  3.3.98 \(\int \genfrac {}{}{}{}{(b \csc (e+f x))^n}{\sqrt {c \sec (e+f x)}} \, dx\) [298]
  3.3.99 \(\int \genfrac {}{}{}{}{(b \csc (e+f x))^n}{(c \sec (e+f x))^{3/2}} \, dx\) [299]