3.3 Integrals 201 to 286

\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^2}{(c+d \sec (e+f x))^5} \, dx\) [201]
\(\int \sec (e+f x) (a+a \sec (e+f x))^3 (c+d \sec (e+f x))^3 \, dx\) [202]
\(\int \sec (e+f x) (a+a \sec (e+f x))^3 (c+d \sec (e+f x))^2 \, dx\) [203]
\(\int \sec (e+f x) (a+a \sec (e+f x))^3 (c+d \sec (e+f x)) \, dx\) [204]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{c+d \sec (e+f x)} \, dx\) [205]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^2} \, dx\) [206]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^3} \, dx\) [207]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^4} \, dx\) [208]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^5} \, dx\) [209]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{a+a \sec (e+f x)} \, dx\) [210]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{a+a \sec (e+f x)} \, dx\) [211]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{a+a \sec (e+f x)} \, dx\) [212]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{a+a \sec (e+f x)} \, dx\) [213]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x)) (c+d \sec (e+f x))} \, dx\) [214]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x)) (c+d \sec (e+f x))^2} \, dx\) [215]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x)) (c+d \sec (e+f x))^3} \, dx\) [216]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^5}{(a+a \sec (e+f x))^2} \, dx\) [217]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{(a+a \sec (e+f x))^2} \, dx\) [218]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{(a+a \sec (e+f x))^2} \, dx\) [219]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{(a+a \sec (e+f x))^2} \, dx\) [220]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{(a+a \sec (e+f x))^2} \, dx\) [221]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^2 (c+d \sec (e+f x))} \, dx\) [222]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^2 (c+d \sec (e+f x))^2} \, dx\) [223]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^2 (c+d \sec (e+f x))^3} \, dx\) [224]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^6}{(a+a \sec (e+f x))^3} \, dx\) [225]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^5}{(a+a \sec (e+f x))^3} \, dx\) [226]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{(a+a \sec (e+f x))^3} \, dx\) [227]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{(a+a \sec (e+f x))^3} \, dx\) [228]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{(a+a \sec (e+f x))^3} \, dx\) [229]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{(a+a \sec (e+f x))^3} \, dx\) [230]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^3 (c+d \sec (e+f x))} \, dx\) [231]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^3 (c+d \sec (e+f x))^2} \, dx\) [232]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^3 (c+d \sec (e+f x))^3} \, dx\) [233]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+a \sec (e+f x)}}{\sqrt {c+d \sec (e+f x)}} \, dx\) [234]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {c+d \sec (e+f x)}}{\sqrt {a+a \sec (e+f x)}} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+a \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+a \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [237]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+a \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [238]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {a+a \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [241]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [242]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{5/2}}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [243]
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x))^4 \, dx\) [244]
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x))^3 \, dx\) [245]
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x))^2 \, dx\) [246]
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x)) \, dx\) [247]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{c+d \sec (e+f x)} \, dx\) [248]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{(c+d \sec (e+f x))^2} \, dx\) [249]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{(c+d \sec (e+f x))^3} \, dx\) [250]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{(c+d \sec (e+f x))^4} \, dx\) [251]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{a+b \sec (e+f x)} \, dx\) [252]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{a+b \sec (e+f x)} \, dx\) [253]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{a+b \sec (e+f x)} \, dx\) [254]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{a+b \sec (e+f x)} \, dx\) [255]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+b \sec (e+f x)) (c+d \sec (e+f x))} \, dx\) [256]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+b \sec (e+f x)) (c+d \sec (e+f x))^2} \, dx\) [257]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^5}{(a+b \sec (e+f x))^2} \, dx\) [258]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{(a+b \sec (e+f x))^2} \, dx\) [259]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{(a+b \sec (e+f x))^2} \, dx\) [260]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{(a+b \sec (e+f x))^2} \, dx\) [261]
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{(a+b \sec (e+f x))^2} \, dx\) [262]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+b \sec (e+f x))^2 (c+d \sec (e+f x))} \, dx\) [263]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [264]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{\sqrt {c+d \sec (e+f x)}} \, dx\) [265]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+b \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [266]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {2+3 \sec (e+f x)} \sqrt {-4+5 \sec (e+f x)}} \, dx\) [267]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {4-5 \sec (e+f x)} \sqrt {2+3 \sec (e+f x)}} \, dx\) [268]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+b \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [269]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {c+d \sec (e+f x)}}{a+b \sec (e+f x)} \, dx\) [270]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{(a+b \sec (e+f x)) \sqrt {c+d \sec (e+f x)}} \, dx\) [271]
\(\int \genfrac {}{}{}{}{\sqrt {g \sec (e+f x)} \sqrt {c+d \sec (e+f x)}}{a+b \cos (e+f x)} \, dx\) [272]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{c+c \sec (e+f x)} \, dx\) [273]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {a+b \sec (e+f x)}}{c+c \sec (e+f x)} \, dx\) [274]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [275]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [276]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [277]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{5/2}}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [278]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [279]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {a+b \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [280]
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [281]
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [282]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [283]
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{5/2}}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [284]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \tan ^4(e+f x)}{(c-c \sec (e+f x))^7} \, dx\) [285]
\(\int \genfrac {}{}{}{}{\sec (e+f x) \tan ^4(e+f x)}{(c-c \sec (e+f x))^8} \, dx\) [286]