[
prev
] [
prev-tail
] [
tail
] [
up
]
3.3
Integrals 201 to 286
3.3.1
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^2}{(c+d \sec (e+f x))^5} \, dx\) [201]
3.3.2
\(\int \sec (e+f x) (a+a \sec (e+f x))^3 (c+d \sec (e+f x))^3 \, dx\) [202]
3.3.3
\(\int \sec (e+f x) (a+a \sec (e+f x))^3 (c+d \sec (e+f x))^2 \, dx\) [203]
3.3.4
\(\int \sec (e+f x) (a+a \sec (e+f x))^3 (c+d \sec (e+f x)) \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{c+d \sec (e+f x)} \, dx\) [205]
3.3.6
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^2} \, dx\) [206]
3.3.7
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^3} \, dx\) [207]
3.3.8
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^4} \, dx\) [208]
3.3.9
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+a \sec (e+f x))^3}{(c+d \sec (e+f x))^5} \, dx\) [209]
3.3.10
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{a+a \sec (e+f x)} \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{a+a \sec (e+f x)} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{a+a \sec (e+f x)} \, dx\) [212]
3.3.13
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{a+a \sec (e+f x)} \, dx\) [213]
3.3.14
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x)) (c+d \sec (e+f x))} \, dx\) [214]
3.3.15
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x)) (c+d \sec (e+f x))^2} \, dx\) [215]
3.3.16
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x)) (c+d \sec (e+f x))^3} \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^5}{(a+a \sec (e+f x))^2} \, dx\) [217]
3.3.18
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{(a+a \sec (e+f x))^2} \, dx\) [218]
3.3.19
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{(a+a \sec (e+f x))^2} \, dx\) [219]
3.3.20
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{(a+a \sec (e+f x))^2} \, dx\) [220]
3.3.21
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{(a+a \sec (e+f x))^2} \, dx\) [221]
3.3.22
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^2 (c+d \sec (e+f x))} \, dx\) [222]
3.3.23
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^2 (c+d \sec (e+f x))^2} \, dx\) [223]
3.3.24
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^2 (c+d \sec (e+f x))^3} \, dx\) [224]
3.3.25
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^6}{(a+a \sec (e+f x))^3} \, dx\) [225]
3.3.26
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^5}{(a+a \sec (e+f x))^3} \, dx\) [226]
3.3.27
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{(a+a \sec (e+f x))^3} \, dx\) [227]
3.3.28
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{(a+a \sec (e+f x))^3} \, dx\) [228]
3.3.29
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{(a+a \sec (e+f x))^3} \, dx\) [229]
3.3.30
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{(a+a \sec (e+f x))^3} \, dx\) [230]
3.3.31
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^3 (c+d \sec (e+f x))} \, dx\) [231]
3.3.32
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^3 (c+d \sec (e+f x))^2} \, dx\) [232]
3.3.33
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+a \sec (e+f x))^3 (c+d \sec (e+f x))^3} \, dx\) [233]
3.3.34
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+a \sec (e+f x)}}{\sqrt {c+d \sec (e+f x)}} \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {c+d \sec (e+f x)}}{\sqrt {a+a \sec (e+f x)}} \, dx\) [235]
3.3.36
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+a \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [236]
3.3.37
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+a \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [237]
3.3.38
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+a \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [238]
3.3.39
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {a+a \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [239]
3.3.40
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [240]
3.3.41
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [241]
3.3.42
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [242]
3.3.43
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{5/2}}{\sqrt {a+a \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [243]
3.3.44
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x))^4 \, dx\) [244]
3.3.45
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x))^3 \, dx\) [245]
3.3.46
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x))^2 \, dx\) [246]
3.3.47
\(\int \sec (e+f x) (a+b \sec (e+f x)) (c+d \sec (e+f x)) \, dx\) [247]
3.3.48
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{c+d \sec (e+f x)} \, dx\) [248]
3.3.49
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{(c+d \sec (e+f x))^2} \, dx\) [249]
3.3.50
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{(c+d \sec (e+f x))^3} \, dx\) [250]
3.3.51
\(\int \genfrac {}{}{}{}{\sec (e+f x) (a+b \sec (e+f x))}{(c+d \sec (e+f x))^4} \, dx\) [251]
3.3.52
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{a+b \sec (e+f x)} \, dx\) [252]
3.3.53
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{a+b \sec (e+f x)} \, dx\) [253]
3.3.54
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{a+b \sec (e+f x)} \, dx\) [254]
3.3.55
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{a+b \sec (e+f x)} \, dx\) [255]
3.3.56
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+b \sec (e+f x)) (c+d \sec (e+f x))} \, dx\) [256]
3.3.57
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+b \sec (e+f x)) (c+d \sec (e+f x))^2} \, dx\) [257]
3.3.58
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^5}{(a+b \sec (e+f x))^2} \, dx\) [258]
3.3.59
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^4}{(a+b \sec (e+f x))^2} \, dx\) [259]
3.3.60
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^3}{(a+b \sec (e+f x))^2} \, dx\) [260]
3.3.61
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))^2}{(a+b \sec (e+f x))^2} \, dx\) [261]
3.3.62
\(\int \genfrac {}{}{}{}{\sec (e+f x) (c+d \sec (e+f x))}{(a+b \sec (e+f x))^2} \, dx\) [262]
3.3.63
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{(a+b \sec (e+f x))^2 (c+d \sec (e+f x))} \, dx\) [263]
3.3.64
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [264]
3.3.65
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{\sqrt {c+d \sec (e+f x)}} \, dx\) [265]
3.3.66
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+b \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [266]
3.3.67
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {2+3 \sec (e+f x)} \sqrt {-4+5 \sec (e+f x)}} \, dx\) [267]
3.3.68
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {4-5 \sec (e+f x)} \sqrt {2+3 \sec (e+f x)}} \, dx\) [268]
3.3.69
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+b \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [269]
3.3.70
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {c+d \sec (e+f x)}}{a+b \sec (e+f x)} \, dx\) [270]
3.3.71
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{(a+b \sec (e+f x)) \sqrt {c+d \sec (e+f x)}} \, dx\) [271]
3.3.72
\(\int \genfrac {}{}{}{}{\sqrt {g \sec (e+f x)} \sqrt {c+d \sec (e+f x)}}{a+b \cos (e+f x)} \, dx\) [272]
3.3.73
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{c+c \sec (e+f x)} \, dx\) [273]
3.3.74
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {a+b \sec (e+f x)}}{c+c \sec (e+f x)} \, dx\) [274]
3.3.75
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [275]
3.3.76
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [276]
3.3.77
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [277]
3.3.78
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{5/2}}{\sqrt {a+b \sec (e+f x)} (c+c \sec (e+f x))} \, dx\) [278]
3.3.79
\(\int \genfrac {}{}{}{}{\sec (e+f x) \sqrt {a+b \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [279]
3.3.80
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2} \sqrt {a+b \sec (e+f x)}}{c+d \sec (e+f x)} \, dx\) [280]
3.3.81
\(\int \genfrac {}{}{}{}{\sec (e+f x)}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [281]
3.3.82
\(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [282]
3.3.83
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{3/2}}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [283]
3.3.84
\(\int \genfrac {}{}{}{}{(g \sec (e+f x))^{5/2}}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [284]
3.3.85
\(\int \genfrac {}{}{}{}{\sec (e+f x) \tan ^4(e+f x)}{(c-c \sec (e+f x))^7} \, dx\) [285]
3.3.86
\(\int \genfrac {}{}{}{}{\sec (e+f x) \tan ^4(e+f x)}{(c-c \sec (e+f x))^8} \, dx\) [286]
[
prev
] [
prev-tail
] [
front
] [
up
]