3.4 Integrals 301 to 400

   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [301]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [302]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(a+b x)} \, dx\) [303]
   \(\int \cos ^4(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [304]
   \(\int \cos ^2(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [305]
   \(\int \sqrt [3]{b \sin (e+f x)} \, dx\) [306]
   \(\int \sec ^2(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [307]
   \(\int \sec ^4(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [308]
   \(\int \cos ^4(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [309]
   \(\int \cos ^2(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [310]
   \(\int (b \sin (e+f x))^{5/3} \, dx\) [311]
   \(\int \sec ^2(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [312]
   \(\int \sec ^4(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [313]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [314]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [315]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [316]
   \(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [317]
   \(\int \genfrac {}{}{}{}{\sec ^4(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [318]
   \(\int \genfrac {}{}{}{}{\cos ^4(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [319]
   \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [320]
   \(\int \genfrac {}{}{}{}{1}{(b \sin (e+f x))^{5/3}} \, dx\) [321]
   \(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [322]
   \(\int \genfrac {}{}{}{}{\sec ^4(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [323]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{\sin (a+b x)}}{\sqrt [3]{\cos (a+b x)}} \, dx\) [324]
   \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{2}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{2}{3}}(a+b x)} \, dx\) [325]
   \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{4}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{4}{3}}(a+b x)} \, dx\) [326]
   \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{5}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{5}{3}}(a+b x)} \, dx\) [327]
   \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{7}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{7}{3}}(a+b x)} \, dx\) [328]
   \(\int \genfrac {}{}{}{}{\sqrt [3]{\cos (a+b x)}}{\sqrt [3]{\sin (a+b x)}} \, dx\) [329]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{2}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{2}{3}}(a+b x)} \, dx\) [330]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{4}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{4}{3}}(a+b x)} \, dx\) [331]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{3}}(a+b x)} \, dx\) [332]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{3}}(a+b x)} \, dx\) [333]
   \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{2}{3}}(x)}{\sin ^{\genfrac {}{}{}{}{8}{3}}(x)} \, dx\) [334]
   \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{2}{3}}(x)}{\cos ^{\genfrac {}{}{}{}{8}{3}}(x)} \, dx\) [335]
   \(\int \cos ^n(e+f x) \sin ^m(e+f x) \, dx\) [336]
   \(\int (d \cos (e+f x))^n \sin ^m(e+f x) \, dx\) [337]
   \(\int \cos ^n(e+f x) (b \sin (e+f x))^m \, dx\) [338]
   \(\int (d \cos (e+f x))^n (b \sin (e+f x))^m \, dx\) [339]
   \(\int \cos ^5(a+b x) (c \sin (a+b x))^m \, dx\) [340]
   \(\int \cos ^3(a+b x) (c \sin (a+b x))^m \, dx\) [341]
   \(\int \cos (a+b x) (c \sin (a+b x))^m \, dx\) [342]
   \(\int \sec (a+b x) (c \sin (a+b x))^m \, dx\) [343]
   \(\int \sec ^3(a+b x) (c \sin (a+b x))^m \, dx\) [344]
   \(\int \cos ^4(a+b x) (c \sin (a+b x))^m \, dx\) [345]
   \(\int \cos ^2(a+b x) (c \sin (a+b x))^m \, dx\) [346]
   \(\int (c \sin (a+b x))^m \, dx\) [347]
   \(\int \sec ^2(a+b x) (c \sin (a+b x))^m \, dx\) [348]
   \(\int \sec ^4(a+b x) (c \sin (a+b x))^m \, dx\) [349]
   \(\int (d \cos (a+b x))^{3/2} (c \sin (a+b x))^m \, dx\) [350]
   \(\int \sqrt {d \cos (a+b x)} (c \sin (a+b x))^m \, dx\) [351]
   \(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{\sqrt {d \cos (a+b x)}} \, dx\) [352]
   \(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{(d \cos (a+b x))^{3/2}} \, dx\) [353]
   \(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{(d \cos (a+b x))^{5/2}} \, dx\) [354]
   \(\int (d \cos (a+b x))^n \sin ^5(a+b x) \, dx\) [355]
   \(\int (d \cos (a+b x))^n \sin ^3(a+b x) \, dx\) [356]
   \(\int (d \cos (a+b x))^n \sin (a+b x) \, dx\) [357]
   \(\int (d \cos (a+b x))^n \csc (a+b x) \, dx\) [358]
   \(\int (d \cos (a+b x))^n \csc ^3(a+b x) \, dx\) [359]
   \(\int (d \cos (a+b x))^n \csc ^5(a+b x) \, dx\) [360]
   \(\int (d \cos (a+b x))^n \sin ^4(a+b x) \, dx\) [361]
   \(\int (d \cos (a+b x))^n \sin ^2(a+b x) \, dx\) [362]
   \(\int (d \cos (a+b x))^n \, dx\) [363]
   \(\int (d \cos (a+b x))^n \csc ^2(a+b x) \, dx\) [364]
   \(\int (d \cos (a+b x))^n \csc ^4(a+b x) \, dx\) [365]
   \(\int (d \cos (a+b x))^n (c \sin (a+b x))^{5/2} \, dx\) [366]
   \(\int (d \cos (a+b x))^n (c \sin (a+b x))^{3/2} \, dx\) [367]
   \(\int (d \cos (a+b x))^n \sqrt {c \sin (a+b x)} \, dx\) [368]
   \(\int \genfrac {}{}{}{}{(d \cos (a+b x))^n}{\sqrt {c \sin (a+b x)}} \, dx\) [369]
   \(\int \genfrac {}{}{}{}{(d \cos (a+b x))^n}{(c \sin (a+b x))^{3/2}} \, dx\) [370]
   \(\int \sqrt {b \sec (e+f x)} \sin ^7(e+f x) \, dx\) [371]
   \(\int \sqrt {b \sec (e+f x)} \sin ^5(e+f x) \, dx\) [372]
   \(\int \sqrt {b \sec (e+f x)} \sin ^3(e+f x) \, dx\) [373]
   \(\int \sqrt {b \sec (e+f x)} \sin (e+f x) \, dx\) [374]
   \(\int \csc (e+f x) \sqrt {b \sec (e+f x)} \, dx\) [375]
   \(\int \csc ^3(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [376]
   \(\int \csc ^5(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [377]
   \(\int \sqrt {b \sec (e+f x)} \sin ^6(e+f x) \, dx\) [378]
   \(\int \sqrt {b \sec (e+f x)} \sin ^4(e+f x) \, dx\) [379]
   \(\int \sqrt {b \sec (e+f x)} \sin ^2(e+f x) \, dx\) [380]
   \(\int \sqrt {b \sec (e+f x)} \, dx\) [381]
   \(\int \csc ^2(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [382]
   \(\int \csc ^4(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [383]
   \(\int \csc ^6(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [384]
   \(\int (b \sec (e+f x))^{3/2} \sin ^7(e+f x) \, dx\) [385]
   \(\int (b \sec (e+f x))^{3/2} \sin ^5(e+f x) \, dx\) [386]
   \(\int (b \sec (e+f x))^{3/2} \sin ^3(e+f x) \, dx\) [387]
   \(\int (b \sec (e+f x))^{3/2} \sin (e+f x) \, dx\) [388]
   \(\int \csc (e+f x) (b \sec (e+f x))^{3/2} \, dx\) [389]
   \(\int \csc ^3(e+f x) (b \sec (e+f x))^{3/2} \, dx\) [390]
   \(\int (b \sec (e+f x))^{3/2} \sin ^6(e+f x) \, dx\) [391]
   \(\int (b \sec (e+f x))^{3/2} \sin ^4(e+f x) \, dx\) [392]
   \(\int (b \sec (e+f x))^{3/2} \sin ^2(e+f x) \, dx\) [393]
   \(\int (b \sec (e+f x))^{3/2} \, dx\) [394]
   \(\int \csc ^2(e+f x) (b \sec (e+f x))^{3/2} \, dx\) [395]
   \(\int \csc ^4(e+f x) (b \sec (e+f x))^{3/2} \, dx\) [396]
   \(\int (b \sec (e+f x))^{5/2} \sin ^7(e+f x) \, dx\) [397]
   \(\int (b \sec (e+f x))^{5/2} \sin ^5(e+f x) \, dx\) [398]
   \(\int (b \sec (e+f x))^{5/2} \sin ^3(e+f x) \, dx\) [399]
   \(\int (b \sec (e+f x))^{5/2} \sin (e+f x) \, dx\) [400]