3.4 Integrals 301 to 387

\(\int \sqrt {d \sec (e+f x)} (b \tan (e+f x))^{3/2} \, dx\) [301]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{3/2}}{\sqrt {d \sec (e+f x)}} \, dx\) [302]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{3/2}} \, dx\) [303]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{5/2}} \, dx\) [304]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{7/2}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{3/2}}{(d \sec (e+f x))^{9/2}} \, dx\) [306]
\(\int (d \sec (e+f x))^{5/2} (b \tan (e+f x))^{5/2} \, dx\) [307]
\(\int (d \sec (e+f x))^{3/2} (b \tan (e+f x))^{5/2} \, dx\) [308]
\(\int \sqrt {d \sec (e+f x)} (b \tan (e+f x))^{5/2} \, dx\) [309]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{5/2}}{\sqrt {d \sec (e+f x)}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{3/2}} \, dx\) [311]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{5/2}} \, dx\) [312]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{7/2}} \, dx\) [313]
\(\int \genfrac {}{}{}{}{(b \tan (e+f x))^{5/2}}{(d \sec (e+f x))^{9/2}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{\sqrt {b \tan (e+f x)}} \, dx\) [315]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{\sqrt {b \tan (e+f x)}} \, dx\) [316]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{\sqrt {b \tan (e+f x)}} \, dx\) [317]
\(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{\sqrt {b \tan (e+f x)}} \, dx\) [318]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} \sqrt {b \tan (e+f x)}} \, dx\) [319]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} \sqrt {b \tan (e+f x)}} \, dx\) [320]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} \sqrt {b \tan (e+f x)}} \, dx\) [321]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{(b \tan (e+f x))^{3/2}} \, dx\) [322]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{(b \tan (e+f x))^{3/2}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{(b \tan (e+f x))^{3/2}} \, dx\) [324]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (b \tan (e+f x))^{3/2}} \, dx\) [325]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (b \tan (e+f x))^{3/2}} \, dx\) [326]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (b \tan (e+f x))^{3/2}} \, dx\) [327]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{7/2}}{(b \tan (e+f x))^{5/2}} \, dx\) [328]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{5/2}}{(b \tan (e+f x))^{5/2}} \, dx\) [329]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^{3/2}}{(b \tan (e+f x))^{5/2}} \, dx\) [330]
\(\int \genfrac {}{}{}{}{\sqrt {d \sec (e+f x)}}{(b \tan (e+f x))^{5/2}} \, dx\) [331]
\(\int \genfrac {}{}{}{}{1}{\sqrt {d \sec (e+f x)} (b \tan (e+f x))^{5/2}} \, dx\) [332]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{3/2} (b \tan (e+f x))^{5/2}} \, dx\) [333]
\(\int \genfrac {}{}{}{}{1}{(d \sec (e+f x))^{5/2} (b \tan (e+f x))^{5/2}} \, dx\) [334]
\(\int (b \sec (e+f x))^{4/3} \sqrt {d \tan (e+f x)} \, dx\) [335]
\(\int \sqrt [3]{b \sec (e+f x)} \sqrt {d \tan (e+f x)} \, dx\) [336]
\(\int \genfrac {}{}{}{}{\sqrt {d \tan (e+f x)}}{\sqrt [3]{b \sec (e+f x)}} \, dx\) [337]
\(\int \genfrac {}{}{}{}{\sqrt {d \tan (e+f x)}}{(b \sec (e+f x))^{4/3}} \, dx\) [338]
\(\int (b \sec (e+f x))^{4/3} (d \tan (e+f x))^{3/2} \, dx\) [339]
\(\int \sqrt [3]{b \sec (e+f x)} (d \tan (e+f x))^{3/2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{3/2}}{\sqrt [3]{b \sec (e+f x)}} \, dx\) [341]
\(\int \genfrac {}{}{}{}{(d \tan (e+f x))^{3/2}}{(b \sec (e+f x))^{4/3}} \, dx\) [342]
\(\int \sqrt {b \sec (e+f x)} (d \tan (e+f x))^{4/3} \, dx\) [343]
\(\int \sqrt {b \sec (e+f x)} \sqrt [3]{d \tan (e+f x)} \, dx\) [344]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{\sqrt [3]{d \tan (e+f x)}} \, dx\) [345]
\(\int \genfrac {}{}{}{}{\sqrt {b \sec (e+f x)}}{(d \tan (e+f x))^{4/3}} \, dx\) [346]
\(\int (b \sec (e+f x))^{3/2} (d \tan (e+f x))^{4/3} \, dx\) [347]
\(\int (b \sec (e+f x))^{3/2} \sqrt [3]{d \tan (e+f x)} \, dx\) [348]
\(\int \genfrac {}{}{}{}{(b \sec (e+f x))^{3/2}}{\sqrt [3]{d \tan (e+f x)}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{(b \sec (e+f x))^{3/2}}{(d \tan (e+f x))^{4/3}} \, dx\) [350]
\(\int (b \sec (e+f x))^m \tan ^5(e+f x) \, dx\) [351]
\(\int (b \sec (e+f x))^m \tan ^3(e+f x) \, dx\) [352]
\(\int (b \sec (e+f x))^m \tan (e+f x) \, dx\) [353]
\(\int \cot (e+f x) (b \sec (e+f x))^m \, dx\) [354]
\(\int \cot ^3(e+f x) (b \sec (e+f x))^m \, dx\) [355]
\(\int \cot ^5(e+f x) (b \sec (e+f x))^m \, dx\) [356]
\(\int (b \sec (e+f x))^m \tan ^4(e+f x) \, dx\) [357]
\(\int (b \sec (e+f x))^m \tan ^2(e+f x) \, dx\) [358]
\(\int \cot ^2(e+f x) (b \sec (e+f x))^m \, dx\) [359]
\(\int \cot ^4(e+f x) (b \sec (e+f x))^m \, dx\) [360]
\(\int \cot ^6(e+f x) (b \sec (e+f x))^m \, dx\) [361]
\(\int (a \sec (e+f x))^m (b \tan (e+f x))^n \, dx\) [362]
\(\int \sec ^6(a+b x) (d \tan (a+b x))^n \, dx\) [363]
\(\int \sec ^4(a+b x) (d \tan (a+b x))^n \, dx\) [364]
\(\int \sec ^2(a+b x) (d \tan (a+b x))^n \, dx\) [365]
\(\int (d \tan (a+b x))^n \, dx\) [366]
\(\int \cos ^2(a+b x) (d \tan (a+b x))^n \, dx\) [367]
\(\int \cos ^4(a+b x) (d \tan (a+b x))^n \, dx\) [368]
\(\int \sec ^5(a+b x) (d \tan (a+b x))^n \, dx\) [369]
\(\int \sec ^3(a+b x) (d \tan (a+b x))^n \, dx\) [370]
\(\int \sec (a+b x) (d \tan (a+b x))^n \, dx\) [371]
\(\int \cos (a+b x) (d \tan (a+b x))^n \, dx\) [372]
\(\int \cos ^3(a+b x) (d \tan (a+b x))^n \, dx\) [373]
\(\int (b \csc (e+f x))^m \tan ^3(e+f x) \, dx\) [374]
\(\int (b \csc (e+f x))^m \tan (e+f x) \, dx\) [375]
\(\int \cot (e+f x) (b \csc (e+f x))^m \, dx\) [376]
\(\int \cot ^3(e+f x) (b \csc (e+f x))^m \, dx\) [377]
\(\int \cot ^5(e+f x) (b \csc (e+f x))^m \, dx\) [378]
\(\int (b \csc (e+f x))^m \tan ^4(e+f x) \, dx\) [379]
\(\int (b \csc (e+f x))^m \tan ^2(e+f x) \, dx\) [380]
\(\int \cot ^2(e+f x) (b \csc (e+f x))^m \, dx\) [381]
\(\int \cot ^4(e+f x) (b \csc (e+f x))^m \, dx\) [382]
\(\int (b \csc (e+f x))^m (d \tan (e+f x))^{3/2} \, dx\) [383]
\(\int (b \csc (e+f x))^m \sqrt {d \tan (e+f x)} \, dx\) [384]
\(\int \genfrac {}{}{}{}{(b \csc (e+f x))^m}{\sqrt {d \tan (e+f x)}} \, dx\) [385]
\(\int \genfrac {}{}{}{}{(b \csc (e+f x))^m}{(d \tan (e+f x))^{3/2}} \, dx\) [386]
\(\int (a \csc (e+f x))^m (b \tan (e+f x))^n \, dx\) [387]