3.3 Integrals 201 to 299

\(\int \genfrac {}{}{}{}{1}{(b \sec (c+d x))^{4/3}} \, dx\) [201]
\(\int \genfrac {}{}{}{}{\cos (c+d x)}{(b \sec (c+d x))^{4/3}} \, dx\) [202]
\(\int \genfrac {}{}{}{}{\cos ^2(c+d x)}{(b \sec (c+d x))^{4/3}} \, dx\) [203]
\(\int \sec ^m(c+d x) (b \sec (c+d x))^{4/3} \, dx\) [204]
\(\int \sec ^m(c+d x) (b \sec (c+d x))^{2/3} \, dx\) [205]
\(\int \sec ^m(c+d x) \sqrt [3]{b \sec (c+d x)} \, dx\) [206]
\(\int \genfrac {}{}{}{}{\sec ^m(c+d x)}{\sqrt [3]{b \sec (c+d x)}} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\sec ^m(c+d x)}{(b \sec (c+d x))^{2/3}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{\sec ^m(c+d x)}{(b \sec (c+d x))^{4/3}} \, dx\) [209]
\(\int \sec ^m(c+d x) (b \sec (c+d x))^n \, dx\) [210]
\(\int \sec ^2(c+d x) (b \sec (c+d x))^n \, dx\) [211]
\(\int \sec (c+d x) (b \sec (c+d x))^n \, dx\) [212]
\(\int (b \sec (c+d x))^n \, dx\) [213]
\(\int \cos (c+d x) (b \sec (c+d x))^n \, dx\) [214]
\(\int \cos ^2(c+d x) (b \sec (c+d x))^n \, dx\) [215]
\(\int \cos ^3(c+d x) (b \sec (c+d x))^n \, dx\) [216]
\(\int \sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (b \sec (c+d x))^n \, dx\) [217]
\(\int \sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (b \sec (c+d x))^n \, dx\) [218]
\(\int \sqrt {\sec (c+d x)} (b \sec (c+d x))^n \, dx\) [219]
\(\int \genfrac {}{}{}{}{(b \sec (c+d x))^n}{\sqrt {\sec (c+d x)}} \, dx\) [220]
\(\int \genfrac {}{}{}{}{(b \sec (c+d x))^n}{\sec ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [221]
\(\int \genfrac {}{}{}{}{(b \sec (c+d x))^n}{\sec ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [222]
\(\int (d \sec (a+b x))^{7/2} \sin (a+b x) \, dx\) [223]
\(\int (d \sec (a+b x))^{5/2} \sin (a+b x) \, dx\) [224]
\(\int (d \sec (a+b x))^{3/2} \sin (a+b x) \, dx\) [225]
\(\int \sqrt {d \sec (a+b x)} \sin (a+b x) \, dx\) [226]
\(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sqrt {d \sec (a+b x)}} \, dx\) [227]
\(\int (d \sec (a+b x))^{5/2} \sin ^3(a+b x) \, dx\) [228]
\(\int (d \sec (a+b x))^{9/2} \sin ^3(a+b x) \, dx\) [229]
\(\int (d \csc (a+b x))^{9/2} \sqrt {c \sec (a+b x)} \, dx\) [230]
\(\int (d \csc (a+b x))^{7/2} \sqrt {c \sec (a+b x)} \, dx\) [231]
\(\int (d \csc (a+b x))^{5/2} \sqrt {c \sec (a+b x)} \, dx\) [232]
\(\int (d \csc (a+b x))^{3/2} \sqrt {c \sec (a+b x)} \, dx\) [233]
\(\int \sqrt {d \csc (a+b x)} \sqrt {c \sec (a+b x)} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\sqrt {c \sec (a+b x)}}{\sqrt {d \csc (a+b x)}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\sqrt {c \sec (a+b x)}}{(d \csc (a+b x))^{3/2}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\sqrt {c \sec (a+b x)}}{(d \csc (a+b x))^{5/2}} \, dx\) [237]
\(\int (d \csc (a+b x))^{9/2} (c \sec (a+b x))^{3/2} \, dx\) [238]
\(\int (d \csc (a+b x))^{7/2} (c \sec (a+b x))^{3/2} \, dx\) [239]
\(\int (d \csc (a+b x))^{5/2} (c \sec (a+b x))^{3/2} \, dx\) [240]
\(\int (d \csc (a+b x))^{3/2} (c \sec (a+b x))^{3/2} \, dx\) [241]
\(\int \sqrt {d \csc (a+b x)} (c \sec (a+b x))^{3/2} \, dx\) [242]
\(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{3/2}}{\sqrt {d \csc (a+b x)}} \, dx\) [243]
\(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{3/2}}{(d \csc (a+b x))^{3/2}} \, dx\) [244]
\(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{3/2}}{(d \csc (a+b x))^{5/2}} \, dx\) [245]
\(\int (d \csc (a+b x))^{9/2} (c \sec (a+b x))^{5/2} \, dx\) [246]
\(\int (d \csc (a+b x))^{7/2} (c \sec (a+b x))^{5/2} \, dx\) [247]
\(\int (d \csc (a+b x))^{5/2} (c \sec (a+b x))^{5/2} \, dx\) [248]
\(\int (d \csc (a+b x))^{3/2} (c \sec (a+b x))^{5/2} \, dx\) [249]
\(\int \sqrt {d \csc (a+b x)} (c \sec (a+b x))^{5/2} \, dx\) [250]
\(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{5/2}}{\sqrt {d \csc (a+b x)}} \, dx\) [251]
\(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{5/2}}{(d \csc (a+b x))^{3/2}} \, dx\) [252]
\(\int \genfrac {}{}{}{}{(c \sec (a+b x))^{5/2}}{(d \csc (a+b x))^{5/2}} \, dx\) [253]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{9/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [254]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{7/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [255]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{5/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [256]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{3/2}}{\sqrt {c \sec (a+b x)}} \, dx\) [257]
\(\int \genfrac {}{}{}{}{\sqrt {d \csc (a+b x)}}{\sqrt {c \sec (a+b x)}} \, dx\) [258]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (a+b x)} \sqrt {c \sec (a+b x)}} \, dx\) [259]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{3/2} \sqrt {c \sec (a+b x)}} \, dx\) [260]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{5/2} \sqrt {c \sec (a+b x)}} \, dx\) [261]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{11/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [262]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{9/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [263]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{7/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [264]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{5/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{3/2}}{(c \sec (a+b x))^{3/2}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{\sqrt {d \csc (a+b x)}}{(c \sec (a+b x))^{3/2}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (a+b x)} (c \sec (a+b x))^{3/2}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{3/2} (c \sec (a+b x))^{3/2}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{5/2} (c \sec (a+b x))^{3/2}} \, dx\) [270]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{9/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [271]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{7/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [272]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{5/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [273]
\(\int \genfrac {}{}{}{}{(d \csc (a+b x))^{3/2}}{(c \sec (a+b x))^{5/2}} \, dx\) [274]
\(\int \genfrac {}{}{}{}{\sqrt {d \csc (a+b x)}}{(c \sec (a+b x))^{5/2}} \, dx\) [275]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \csc (a+b x)} (c \sec (a+b x))^{5/2}} \, dx\) [276]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{3/2} (c \sec (a+b x))^{5/2}} \, dx\) [277]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{5/2} (c \sec (a+b x))^{5/2}} \, dx\) [278]
\(\int \genfrac {}{}{}{}{1}{(d \csc (a+b x))^{7/2} (c \sec (a+b x))^{5/2}} \, dx\) [279]
\(\int \csc ^n(e+f x) \sec ^m(e+f x) \, dx\) [280]
\(\int \csc ^n(e+f x) (a \sec (e+f x))^m \, dx\) [281]
\(\int (b \csc (e+f x))^n \sec ^m(e+f x) \, dx\) [282]
\(\int (b \csc (e+f x))^n (a \sec (e+f x))^m \, dx\) [283]
\(\int (b \csc (e+f x))^n \sec ^5(e+f x) \, dx\) [284]
\(\int (b \csc (e+f x))^n \sec ^3(e+f x) \, dx\) [285]
\(\int (b \csc (e+f x))^n \sec (e+f x) \, dx\) [286]
\(\int \cos (e+f x) (b \csc (e+f x))^n \, dx\) [287]
\(\int \cos ^3(e+f x) (b \csc (e+f x))^n \, dx\) [288]
\(\int \cos ^5(e+f x) (b \csc (e+f x))^n \, dx\) [289]
\(\int (b \csc (e+f x))^n \sec ^6(e+f x) \, dx\) [290]
\(\int (b \csc (e+f x))^n \sec ^4(e+f x) \, dx\) [291]
\(\int (b \csc (e+f x))^n \sec ^2(e+f x) \, dx\) [292]
\(\int (b \csc (e+f x))^n \, dx\) [293]
\(\int \cos ^2(e+f x) (b \csc (e+f x))^n \, dx\) [294]
\(\int \cos ^4(e+f x) (b \csc (e+f x))^n \, dx\) [295]
\(\int (b \csc (e+f x))^n (c \sec (e+f x))^{3/2} \, dx\) [296]
\(\int (b \csc (e+f x))^n \sqrt {c \sec (e+f x)} \, dx\) [297]
\(\int \genfrac {}{}{}{}{(b \csc (e+f x))^n}{\sqrt {c \sec (e+f x)}} \, dx\) [298]
\(\int \genfrac {}{}{}{}{(b \csc (e+f x))^n}{(c \sec (e+f x))^{3/2}} \, dx\) [299]