3.4 Integrals 301 to 400

\(\int \genfrac {}{}{}{}{(-\sec (e+f x))^n}{\sqrt {1+\sec (e+f x)}} \, dx\) [301]
\(\int \genfrac {}{}{}{}{(-\sec (e+f x))^n}{(1+\sec (e+f x))^{3/2}} \, dx\) [302]
\(\int (d \sec (e+f x))^n (1+\sec (e+f x))^{3/2} \, dx\) [303]
\(\int (d \sec (e+f x))^n \sqrt {1+\sec (e+f x)} \, dx\) [304]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^n}{\sqrt {1+\sec (e+f x)}} \, dx\) [305]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^n}{(1+\sec (e+f x))^{3/2}} \, dx\) [306]
\(\int \sec ^n(e+f x) (a+a \sec (e+f x))^{5/2} \, dx\) [307]
\(\int \sec ^n(e+f x) (a+a \sec (e+f x))^{3/2} \, dx\) [308]
\(\int \sec ^n(e+f x) \sqrt {a+a \sec (e+f x)} \, dx\) [309]
\(\int \genfrac {}{}{}{}{\sec ^n(e+f x)}{\sqrt {a+a \sec (e+f x)}} \, dx\) [310]
\(\int \genfrac {}{}{}{}{\sec ^n(e+f x)}{(a+a \sec (e+f x))^{3/2}} \, dx\) [311]
\(\int (-\sec (e+f x))^n (a+a \sec (e+f x))^{3/2} \, dx\) [312]
\(\int (-\sec (e+f x))^n \sqrt {a+a \sec (e+f x)} \, dx\) [313]
\(\int \genfrac {}{}{}{}{(-\sec (e+f x))^n}{\sqrt {a+a \sec (e+f x)}} \, dx\) [314]
\(\int \genfrac {}{}{}{}{(-\sec (e+f x))^n}{(a+a \sec (e+f x))^{3/2}} \, dx\) [315]
\(\int (d \sec (e+f x))^n (a+a \sec (e+f x))^{3/2} \, dx\) [316]
\(\int (d \sec (e+f x))^n \sqrt {a+a \sec (e+f x)} \, dx\) [317]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^n}{\sqrt {a+a \sec (e+f x)}} \, dx\) [318]
\(\int \genfrac {}{}{}{}{(d \sec (e+f x))^n}{(a+a \sec (e+f x))^{3/2}} \, dx\) [319]
\(\int (-\sec (e+f x))^n (a-a \sec (e+f x))^{5/2} \, dx\) [320]
\(\int (-\sec (e+f x))^n (a-a \sec (e+f x))^{3/2} \, dx\) [321]
\(\int (-\sec (e+f x))^n \sqrt {a-a \sec (e+f x)} \, dx\) [322]
\(\int \genfrac {}{}{}{}{(-\sec (e+f x))^n}{\sqrt {a-a \sec (e+f x)}} \, dx\) [323]
\(\int \genfrac {}{}{}{}{(-\sec (e+f x))^n}{(a-a \sec (e+f x))^{3/2}} \, dx\) [324]
\(\int \sec ^n(e+f x) (a-a \sec (e+f x))^{3/2} \, dx\) [325]
\(\int \sec ^n(e+f x) \sqrt {a-a \sec (e+f x)} \, dx\) [326]
\(\int (d \sec (e+f x))^n (a-a \sec (e+f x))^{3/2} \, dx\) [327]
\(\int (d \sec (e+f x))^n \sqrt {a-a \sec (e+f x)} \, dx\) [328]
\(\int \sec ^n(e+f x) (1+\sec (e+f x))^m \, dx\) [329]
\(\int (1-\sec (e+f x))^m \sec ^n(e+f x) \, dx\) [330]
\(\int \sec ^n(e+f x) (a+a \sec (e+f x))^m \, dx\) [331]
\(\int \sec ^n(e+f x) (a-a \sec (e+f x))^m \, dx\) [332]
\(\int (-\sec (e+f x))^n (1+\sec (e+f x))^m \, dx\) [333]
\(\int (1-\sec (e+f x))^m (-\sec (e+f x))^n \, dx\) [334]
\(\int (-\sec (e+f x))^n (a+a \sec (e+f x))^m \, dx\) [335]
\(\int (-\sec (e+f x))^n (a-a \sec (e+f x))^m \, dx\) [336]
\(\int (d \sec (e+f x))^n (1+\sec (e+f x))^m \, dx\) [337]
\(\int (1-\sec (e+f x))^m (d \sec (e+f x))^n \, dx\) [338]
\(\int (d \sec (e+f x))^n (a+a \sec (e+f x))^m \, dx\) [339]
\(\int (d \sec (e+f x))^n (a-a \sec (e+f x))^m \, dx\) [340]
\(\int \sec ^4(e+f x) (a+a \sec (e+f x))^m \, dx\) [341]
\(\int \sec ^3(e+f x) (a+a \sec (e+f x))^m \, dx\) [342]
\(\int \sec ^2(e+f x) (a+a \sec (e+f x))^m \, dx\) [343]
\(\int \sec (e+f x) (a+a \sec (e+f x))^m \, dx\) [344]
\(\int (a+a \sec (e+f x))^m \, dx\) [345]
\(\int \cos (e+f x) (a+a \sec (e+f x))^m \, dx\) [346]
\(\int (d \sec (e+f x))^{3/2} (a+a \sec (e+f x))^m \, dx\) [347]
\(\int \sqrt {d \sec (e+f x)} (a+a \sec (e+f x))^m \, dx\) [348]
\(\int \genfrac {}{}{}{}{(a+a \sec (e+f x))^m}{\sqrt {d \sec (e+f x)}} \, dx\) [349]
\(\int \genfrac {}{}{}{}{(a+a \sec (e+f x))^m}{(d \sec (e+f x))^{3/2}} \, dx\) [350]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x)) \, dx\) [351]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x)) \, dx\) [352]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x)) \, dx\) [353]
\(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x)) \, dx\) [354]
\(\int \genfrac {}{}{}{}{a+a \sec (c+d x)}{\sqrt {\cos (c+d x)}} \, dx\) [355]
\(\int \genfrac {}{}{}{}{a+a \sec (c+d x)}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [356]
\(\int \genfrac {}{}{}{}{a+a \sec (c+d x)}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [357]
\(\int \genfrac {}{}{}{}{a+a \sec (c+d x)}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x)} \, dx\) [358]
\(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^2 \, dx\) [359]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^2 \, dx\) [360]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^2 \, dx\) [361]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^2 \, dx\) [362]
\(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x))^2 \, dx\) [363]
\(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^2}{\sqrt {\cos (c+d x)}} \, dx\) [364]
\(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [365]
\(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^2}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)} \, dx\) [366]
\(\int \cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^3 \, dx\) [367]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^3 \, dx\) [368]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^3 \, dx\) [369]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^3 \, dx\) [370]
\(\int \sqrt {\cos (c+d x)} (a+a \sec (c+d x))^3 \, dx\) [371]
\(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^3}{\sqrt {\cos (c+d x)}} \, dx\) [372]
\(\int \genfrac {}{}{}{}{(a+a \sec (c+d x))^3}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)} \, dx\) [373]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{a+a \sec (c+d x)} \, dx\) [374]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{a+a \sec (c+d x)} \, dx\) [375]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{a+a \sec (c+d x)} \, dx\) [376]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))} \, dx\) [377]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))} \, dx\) [378]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))} \, dx\) [379]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))} \, dx\) [380]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+a \sec (c+d x))^2} \, dx\) [381]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \sec (c+d x))^2} \, dx\) [382]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+a \sec (c+d x))^2} \, dx\) [383]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))^2} \, dx\) [384]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^2} \, dx\) [385]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^2} \, dx\) [386]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^2} \, dx\) [387]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^2} \, dx\) [388]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x)}{(a+a \sec (c+d x))^3} \, dx\) [389]
\(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x)}{(a+a \sec (c+d x))^3} \, dx\) [390]
\(\int \genfrac {}{}{}{}{\sqrt {\cos (c+d x)}}{(a+a \sec (c+d x))^3} \, dx\) [391]
\(\int \genfrac {}{}{}{}{1}{\sqrt {\cos (c+d x)} (a+a \sec (c+d x))^3} \, dx\) [392]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [393]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [394]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [395]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{9}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [396]
\(\int \genfrac {}{}{}{}{1}{\cos ^{\genfrac {}{}{}{}{11}{2}}(c+d x) (a+a \sec (c+d x))^3} \, dx\) [397]
\(\int \cos ^{\genfrac {}{}{}{}{7}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} \, dx\) [398]
\(\int \cos ^{\genfrac {}{}{}{}{5}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} \, dx\) [399]
\(\int \cos ^{\genfrac {}{}{}{}{3}{2}}(c+d x) \sqrt {a+a \sec (c+d x)} \, dx\) [400]