3.4.1 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{3}{2}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(a+b x)} \, dx\) [301]
3.4.2 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{2}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(a+b x)} \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{2}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(a+b x)} \, dx\) [303]
3.4.4 \(\int \cos ^4(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [304]
3.4.5 \(\int \cos ^2(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [305]
3.4.6 \(\int \sqrt [3]{b \sin (e+f x)} \, dx\) [306]
3.4.7 \(\int \sec ^2(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [307]
3.4.8 \(\int \sec ^4(e+f x) \sqrt [3]{b \sin (e+f x)} \, dx\) [308]
3.4.9 \(\int \cos ^4(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [309]
3.4.10 \(\int \cos ^2(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [310]
3.4.11 \(\int (b \sin (e+f x))^{5/3} \, dx\) [311]
3.4.12 \(\int \sec ^2(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [312]
3.4.13 \(\int \sec ^4(e+f x) (b \sin (e+f x))^{5/3} \, dx\) [313]
3.4.14 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [314]
3.4.15 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{\sec ^4(e+f x)}{\sqrt [3]{b \sin (e+f x)}} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{\cos ^4(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [319]
3.4.20 \(\int \genfrac {}{}{}{}{\cos ^2(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [320]
3.4.21 \(\int \genfrac {}{}{}{}{1}{(b \sin (e+f x))^{5/3}} \, dx\) [321]
3.4.22 \(\int \genfrac {}{}{}{}{\sec ^2(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{\sec ^4(e+f x)}{(b \sin (e+f x))^{5/3}} \, dx\) [323]
3.4.24 \(\int \genfrac {}{}{}{}{\sqrt [3]{\sin (a+b x)}}{\sqrt [3]{\cos (a+b x)}} \, dx\) [324]
3.4.25 \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{2}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{2}{3}}(a+b x)} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{4}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{4}{3}}(a+b x)} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{5}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{5}{3}}(a+b x)} \, dx\) [327]
3.4.28 \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{7}{3}}(a+b x)}{\cos ^{\genfrac {}{}{}{}{7}{3}}(a+b x)} \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{\sqrt [3]{\cos (a+b x)}}{\sqrt [3]{\sin (a+b x)}} \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{2}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{2}{3}}(a+b x)} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{4}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{4}{3}}(a+b x)} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{5}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{3}}(a+b x)} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{7}{3}}(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{3}}(a+b x)} \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{\cos ^{\genfrac {}{}{}{}{2}{3}}(x)}{\sin ^{\genfrac {}{}{}{}{8}{3}}(x)} \, dx\) [334]
3.4.35 \(\int \genfrac {}{}{}{}{\sin ^{\genfrac {}{}{}{}{2}{3}}(x)}{\cos ^{\genfrac {}{}{}{}{8}{3}}(x)} \, dx\) [335]
3.4.36 \(\int \cos ^n(e+f x) \sin ^m(e+f x) \, dx\) [336]
3.4.37 \(\int (d \cos (e+f x))^n \sin ^m(e+f x) \, dx\) [337]
3.4.38 \(\int \cos ^n(e+f x) (b \sin (e+f x))^m \, dx\) [338]
3.4.39 \(\int (d \cos (e+f x))^n (b \sin (e+f x))^m \, dx\) [339]
3.4.40 \(\int \cos ^5(a+b x) (c \sin (a+b x))^m \, dx\) [340]
3.4.41 \(\int \cos ^3(a+b x) (c \sin (a+b x))^m \, dx\) [341]
3.4.42 \(\int \cos (a+b x) (c \sin (a+b x))^m \, dx\) [342]
3.4.43 \(\int \sec (a+b x) (c \sin (a+b x))^m \, dx\) [343]
3.4.44 \(\int \sec ^3(a+b x) (c \sin (a+b x))^m \, dx\) [344]
3.4.45 \(\int \cos ^4(a+b x) (c \sin (a+b x))^m \, dx\) [345]
3.4.46 \(\int \cos ^2(a+b x) (c \sin (a+b x))^m \, dx\) [346]
3.4.47 \(\int (c \sin (a+b x))^m \, dx\) [347]
3.4.48 \(\int \sec ^2(a+b x) (c \sin (a+b x))^m \, dx\) [348]
3.4.49 \(\int \sec ^4(a+b x) (c \sin (a+b x))^m \, dx\) [349]
3.4.50 \(\int (d \cos (a+b x))^{3/2} (c \sin (a+b x))^m \, dx\) [350]
3.4.51 \(\int \sqrt {d \cos (a+b x)} (c \sin (a+b x))^m \, dx\) [351]
3.4.52 \(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{\sqrt {d \cos (a+b x)}} \, dx\) [352]
3.4.53 \(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{(d \cos (a+b x))^{3/2}} \, dx\) [353]
3.4.54 \(\int \genfrac {}{}{}{}{(c \sin (a+b x))^m}{(d \cos (a+b x))^{5/2}} \, dx\) [354]
3.4.55 \(\int (d \cos (a+b x))^n \sin ^5(a+b x) \, dx\) [355]
3.4.56 \(\int (d \cos (a+b x))^n \sin ^3(a+b x) \, dx\) [356]
3.4.57 \(\int (d \cos (a+b x))^n \sin (a+b x) \, dx\) [357]
3.4.58 \(\int (d \cos (a+b x))^n \csc (a+b x) \, dx\) [358]
3.4.59 \(\int (d \cos (a+b x))^n \csc ^3(a+b x) \, dx\) [359]
3.4.60 \(\int (d \cos (a+b x))^n \csc ^5(a+b x) \, dx\) [360]
3.4.61 \(\int (d \cos (a+b x))^n \sin ^4(a+b x) \, dx\) [361]
3.4.62 \(\int (d \cos (a+b x))^n \sin ^2(a+b x) \, dx\) [362]
3.4.63 \(\int (d \cos (a+b x))^n \, dx\) [363]
3.4.64 \(\int (d \cos (a+b x))^n \csc ^2(a+b x) \, dx\) [364]
3.4.65 \(\int (d \cos (a+b x))^n \csc ^4(a+b x) \, dx\) [365]
3.4.66 \(\int (d \cos (a+b x))^n (c \sin (a+b x))^{5/2} \, dx\) [366]
3.4.67 \(\int (d \cos (a+b x))^n (c \sin (a+b x))^{3/2} \, dx\) [367]
3.4.68 \(\int (d \cos (a+b x))^n \sqrt {c \sin (a+b x)} \, dx\) [368]
3.4.69 \(\int \genfrac {}{}{}{}{(d \cos (a+b x))^n}{\sqrt {c \sin (a+b x)}} \, dx\) [369]
3.4.70 \(\int \genfrac {}{}{}{}{(d \cos (a+b x))^n}{(c \sin (a+b x))^{3/2}} \, dx\) [370]
3.4.71 \(\int \sqrt {b \sec (e+f x)} \sin ^7(e+f x) \, dx\) [371]
3.4.72 \(\int \sqrt {b \sec (e+f x)} \sin ^5(e+f x) \, dx\) [372]
3.4.73 \(\int \sqrt {b \sec (e+f x)} \sin ^3(e+f x) \, dx\) [373]
3.4.74 \(\int \sqrt {b \sec (e+f x)} \sin (e+f x) \, dx\) [374]
3.4.75 \(\int \csc (e+f x) \sqrt {b \sec (e+f x)} \, dx\) [375]
3.4.76 \(\int \csc ^3(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [376]
3.4.77 \(\int \csc ^5(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [377]
3.4.78 \(\int \sqrt {b \sec (e+f x)} \sin ^6(e+f x) \, dx\) [378]
3.4.79 \(\int \sqrt {b \sec (e+f x)} \sin ^4(e+f x) \, dx\) [379]
3.4.80 \(\int \sqrt {b \sec (e+f x)} \sin ^2(e+f x) \, dx\) [380]
3.4.81 \(\int \sqrt {b \sec (e+f x)} \, dx\) [381]
3.4.82 \(\int \csc ^2(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [382]
3.4.83 \(\int \csc ^4(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [383]
3.4.84 \(\int \csc ^6(e+f x) \sqrt {b \sec (e+f x)} \, dx\) [384]
3.4.85 \(\int (b \sec (e+f x))^{3/2} \sin ^7(e+f x) \, dx\) [385]
3.4.86 \(\int (b \sec (e+f x))^{3/2} \sin ^5(e+f x) \, dx\) [386]
3.4.87 \(\int (b \sec (e+f x))^{3/2} \sin ^3(e+f x) \, dx\) [387]
3.4.88 \(\int (b \sec (e+f x))^{3/2} \sin (e+f x) \, dx\) [388]
3.4.89 \(\int \csc (e+f x) (b \sec (e+f x))^{3/2} \, dx\) [389]
3.4.90 \(\int \csc ^3(e+f x) (b \sec (e+f x))^{3/2} \, dx\) [390]
3.4.91 \(\int (b \sec (e+f x))^{3/2} \sin ^6(e+f x) \, dx\) [391]
3.4.92 \(\int (b \sec (e+f x))^{3/2} \sin ^4(e+f x) \, dx\) [392]
3.4.93 \(\int (b \sec (e+f x))^{3/2} \sin ^2(e+f x) \, dx\) [393]
3.4.94 \(\int (b \sec (e+f x))^{3/2} \, dx\) [394]
3.4.95 \(\int \csc ^2(e+f x) (b \sec (e+f x))^{3/2} \, dx\) [395]
3.4.96 \(\int \csc ^4(e+f x) (b \sec (e+f x))^{3/2} \, dx\) [396]
3.4.97 \(\int (b \sec (e+f x))^{5/2} \sin ^7(e+f x) \, dx\) [397]
3.4.98 \(\int (b \sec (e+f x))^{5/2} \sin ^5(e+f x) \, dx\) [398]
3.4.99 \(\int (b \sec (e+f x))^{5/2} \sin ^3(e+f x) \, dx\) [399]
3.4.100 \(\int (b \sec (e+f x))^{5/2} \sin (e+f x) \, dx\) [400]