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3.3
Integrals 201 to 241
3.3.1
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{3/2}}{c+d \sec (e+f x)} \, dx\) [201]
3.3.2
\(\int (a+b \sec (e+f x))^{5/2} (c+d \sec (e+f x)) \, dx\) [202]
3.3.3
\(\int \genfrac {}{}{}{}{c+d \sec (e+f x)}{\sqrt {a+b \sec (e+f x)}} \, dx\) [203]
3.3.4
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))} \, dx\) [204]
3.3.5
\(\int \genfrac {}{}{}{}{c+d \sec (e+f x)}{(a+b \sec (e+f x))^{3/2}} \, dx\) [205]
3.3.6
\(\int \genfrac {}{}{}{}{c+d \sec (e+f x)}{(a+b \sec (e+f x))^{5/2}} \, dx\) [206]
3.3.7
\(\int \sqrt {a+b \sec (e+f x)} \sqrt {c+d \sec (e+f x)} \, dx\) [207]
3.3.8
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sec (e+f x)}}{\sqrt {c+d \sec (e+f x)}} \, dx\) [208]
3.3.9
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sec (e+f x)}}{(c+d \sec (e+f x))^{3/2}} \, dx\) [209]
3.3.10
\(\int \genfrac {}{}{}{}{\sqrt {a+b \sec (e+f x)}}{(c+d \sec (e+f x))^{5/2}} \, dx\) [210]
3.3.11
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{3/2}}{(c+d \sec (e+f x))^{3/2}} \, dx\) [211]
3.3.12
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{3/2}}{(c+d \sec (e+f x))^{5/2}} \, dx\) [212]
3.3.13
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{3/2}}{(c+d \sec (e+f x))^{7/2}} \, dx\) [213]
3.3.14
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{5/2}}{(c+d \sec (e+f x))^{5/2}} \, dx\) [214]
3.3.15
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{5/2}}{(c+d \sec (e+f x))^{7/2}} \, dx\) [215]
3.3.16
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{5/2}}{(c+d \sec (e+f x))^{9/2}} \, dx\) [216]
3.3.17
\(\int \genfrac {}{}{}{}{(c+d \sec (e+f x))^{3/2}}{\sqrt {a+b \sec (e+f x)}} \, dx\) [217]
3.3.18
\(\int \genfrac {}{}{}{}{\sqrt {c+d \sec (e+f x)}}{\sqrt {a+b \sec (e+f x)}} \, dx\) [218]
3.3.19
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sec (e+f x)} \sqrt {c+d \sec (e+f x)}} \, dx\) [219]
3.3.20
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+b \sec (e+f x)} (c+d \sec (e+f x))^{3/2}} \, dx\) [220]
3.3.21
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b \sec (e+f x)}}{\sqrt [3]{c+d \sec (e+f x)}} \, dx\) [221]
3.3.22
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b \sec (e+f x)}}{(c+d \sec (e+f x))^{4/3}} \, dx\) [222]
3.3.23
\(\int \genfrac {}{}{}{}{\sqrt [3]{a+b \sec (e+f x)}}{(c+d \sec (e+f x))^{7/3}} \, dx\) [223]
3.3.24
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{2/3}}{(c+d \sec (e+f x))^{2/3}} \, dx\) [224]
3.3.25
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{2/3}}{(c+d \sec (e+f x))^{5/3}} \, dx\) [225]
3.3.26
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{2/3}}{(c+d \sec (e+f x))^{8/3}} \, dx\) [226]
3.3.27
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{4/3}}{(c+d \sec (e+f x))^{4/3}} \, dx\) [227]
3.3.28
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{4/3}}{(c+d \sec (e+f x))^{7/3}} \, dx\) [228]
3.3.29
\(\int \genfrac {}{}{}{}{(a+b \sec (e+f x))^{4/3}}{(c+d \sec (e+f x))^{10/3}} \, dx\) [229]
3.3.30
\(\int (c (d \sec (e+f x))^p)^n (a+a \sec (e+f x))^m \, dx\) [230]
3.3.31
\(\int (c (d \sec (e+f x))^p)^n (a+a \sec (e+f x))^3 \, dx\) [231]
3.3.32
\(\int (c (d \sec (e+f x))^p)^n (a+a \sec (e+f x))^2 \, dx\) [232]
3.3.33
\(\int (c (d \sec (e+f x))^p)^n (a+a \sec (e+f x)) \, dx\) [233]
3.3.34
\(\int \genfrac {}{}{}{}{(c (d \sec (e+f x))^p)^n}{a+a \sec (e+f x)} \, dx\) [234]
3.3.35
\(\int \genfrac {}{}{}{}{(c (d \sec (e+f x))^p)^n}{(a+a \sec (e+f x))^2} \, dx\) [235]
3.3.36
\(\int (c (d \sec (e+f x))^p)^n (a+b \sec (e+f x))^m \, dx\) [236]
3.3.37
\(\int (c (d \sec (e+f x))^p)^n (a+b \sec (e+f x))^3 \, dx\) [237]
3.3.38
\(\int (c (d \sec (e+f x))^p)^n (a+b \sec (e+f x))^2 \, dx\) [238]
3.3.39
\(\int (c (d \sec (e+f x))^p)^n (a+b \sec (e+f x)) \, dx\) [239]
3.3.40
\(\int \genfrac {}{}{}{}{(c (d \sec (e+f x))^p)^n}{a+b \sec (e+f x)} \, dx\) [240]
3.3.41
\(\int \genfrac {}{}{}{}{(c (d \sec (e+f x))^p)^n}{(a+b \sec (e+f x))^2} \, dx\) [241]
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