\(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [101]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{9/2}} \, dx\) [106]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{11/2}} \, dx\) [107]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2}}{a+a \sin (e+f x)} \, dx\) [108]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2}}{a+a \sin (e+f x)} \, dx\) [109]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2}}{a+a \sin (e+f x)} \, dx\) [110]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)}}{a+a \sin (e+f x)} \, dx\) [111]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) \sqrt {c-c \sin (e+f x)}} \, dx\) [112]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^{3/2}} \, dx\) [113]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c-c \sin (e+f x))^{5/2}} \, dx\) [114]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^2} \, dx\) [115]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^2} \, dx\) [116]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^2} \, dx\) [117]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^2} \, dx\) [118]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)}}{(a+a \sin (e+f x))^2} \, dx\) [119]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 \sqrt {c-c \sin (e+f x)}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{3/2}} \, dx\) [121]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c-c \sin (e+f x))^{5/2}} \, dx\) [122]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^3} \, dx\) [123]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^3} \, dx\) [124]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^3} \, dx\) [125]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^3} \, dx\) [126]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)}}{(a+a \sin (e+f x))^3} \, dx\) [127]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 \sqrt {c-c \sin (e+f x)}} \, dx\) [128]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{3/2}} \, dx\) [129]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c-c \sin (e+f x))^{5/2}} \, dx\) [130]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [131]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [132]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [133]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [134]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [135]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [136]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [137]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [138]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [139]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [140]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [141]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [142]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [143]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [144]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [145]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [146]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{9/2}} \, dx\) [147]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{11/2}} \, dx\) [148]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [149]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [150]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [151]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [152]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [153]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [154]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [155]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [156]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{9/2}} \, dx\) [157]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{11/2}} \, dx\) [158]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{13/2}} \, dx\) [159]
\(\int (a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{9/2} \, dx\) [160]
\(\int (a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2} \, dx\) [161]
\(\int (a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [162]
\(\int (a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [163]
\(\int (a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [164]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [165]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [166]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{7/2}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{9/2}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{11/2}} \, dx\) [170]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{13/2}} \, dx\) [171]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{15/2}} \, dx\) [172]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{7/2} (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{17/2}} \, dx\) [173]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [174]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [175]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)}}{\sqrt {a+a \sin (e+f x)}} \, dx\) [176]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} \sqrt {c-c \sin (e+f x)}} \, dx\) [177]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{3/2}} \, dx\) [178]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{\sqrt {a+a \sin (e+f x)} (c-c \sin (e+f x))^{5/2}} \, dx\) [179]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [180]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [181]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [182]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)}}{(a+a \sin (e+f x))^{3/2}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} \sqrt {c-c \sin (e+f x)}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{3/2}} \, dx\) [185]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{3/2} (c-c \sin (e+f x))^{5/2}} \, dx\) [186]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{9/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [187]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{7/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [188]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [189]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [190]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)}}{(a+a \sin (e+f x))^{5/2}} \, dx\) [191]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} \sqrt {c-c \sin (e+f x)}} \, dx\) [192]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{3/2}} \, dx\) [193]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx\) [194]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^n \, dx\) [195]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^3 \, dx\) [196]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^2 \, dx\) [197]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x)) \, dx\) [198]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \, dx\) [199]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{c-c \sin (e+f x)} \, dx\) [200]