\(\int \genfrac {}{}{}{}{(g+h x) \sqrt {a-a \sin (e+f x)}}{\sqrt {c+c \sin (e+f x)}} \, dx\) [101]
\(\int \genfrac {}{}{}{}{\sqrt {a-a \sin (e+f x)}}{(g+h x) \sqrt {c+c \sin (e+f x)}} \, dx\) [102]
\(\int \genfrac {}{}{}{}{x^3 \sqrt {a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\) [103]
\(\int \genfrac {}{}{}{}{x^2 \sqrt {a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\) [104]
\(\int \genfrac {}{}{}{}{x \sqrt {a-a \sin (e+f x)}}{(c+c \sin (e+f x))^{3/2}} \, dx\) [105]
\(\int \genfrac {}{}{}{}{z^2 \sqrt {1+\cos (z)}}{\sqrt {1-\cos (z)}} \, dz\) [106]
\(\int (a+a \cos (x)) (A+B \sec (x)) \, dx\) [107]
\(\int (a+a \cos (x))^2 (A+B \sec (x)) \, dx\) [108]
\(\int (a+a \cos (x))^3 (A+B \sec (x)) \, dx\) [109]
\(\int (a+a \cos (x))^4 (A+B \sec (x)) \, dx\) [110]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{a+a \cos (x)} \, dx\) [111]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^2} \, dx\) [112]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^3} \, dx\) [113]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^4} \, dx\) [114]
\(\int (a+a \cos (x))^{5/2} (A+B \sec (x)) \, dx\) [115]
\(\int (a+a \cos (x))^{3/2} (A+B \sec (x)) \, dx\) [116]
\(\int \sqrt {a+a \cos (x)} (A+B \sec (x)) \, dx\) [117]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{\sqrt {a+a \cos (x)}} \, dx\) [118]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^{3/2}} \, dx\) [119]
\(\int \genfrac {}{}{}{}{A+B \sec (x)}{(a+a \cos (x))^{5/2}} \, dx\) [120]
\(\int \genfrac {}{}{}{}{x (b+a \sin (x))}{(a+b \sin (x))^2} \, dx\) [121]
\(\int \genfrac {}{}{}{}{x (b+a \cos (x))}{(a+b \cos (x))^2} \, dx\) [122]
\(\int \genfrac {}{}{}{}{1+\sin ^2(x)}{1-\sin ^2(x)} \, dx\) [123]
\(\int \genfrac {}{}{}{}{1-\sin ^2(x)}{1+\sin ^2(x)} \, dx\) [124]
\(\int \genfrac {}{}{}{}{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx\) [125]
\(\int \genfrac {}{}{}{}{1-\cos ^2(x)}{1+\cos ^2(x)} \, dx\) [126]
\(\int \genfrac {}{}{}{}{-1+\genfrac {}{}{}{}{c^2}{d^2}+\sin ^2(x)}{c+d \cos (x)} \, dx\) [127]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c+d \cos (x)} \, dx\) [128]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c+c \cos ^2(x)} \, dx\) [129]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c-c \cos ^2(x)} \, dx\) [130]
\(\int \genfrac {}{}{}{}{a+b \sin ^2(x)}{c+d \cos ^2(x)} \, dx\) [131]
\(\int \genfrac {}{}{}{}{-1+\genfrac {}{}{}{}{c^2}{d^2}+\cos ^2(x)}{c+d \sin (x)} \, dx\) [132]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c+d \sin (x)} \, dx\) [133]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c+c \sin ^2(x)} \, dx\) [134]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c-c \sin ^2(x)} \, dx\) [135]
\(\int \genfrac {}{}{}{}{a+b \cos ^2(x)}{c+d \sin ^2(x)} \, dx\) [136]
\(\int \genfrac {}{}{}{}{a+b \sec ^2(x)}{c+d \cos (x)} \, dx\) [137]
\(\int \genfrac {}{}{}{}{a+b \csc ^2(x)}{c+d \sin (x)} \, dx\) [138]
\(\int F^{c (a+b x)} (g \cos (d+e x)+f \sin (d+e x))^n \, dx\) [139]
\(\int (a \cos (c+d x)+b \sin (c+d x))^n \, dx\) [140]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^n \, dx\) [141]
\(\int (a \cos (c+d x)+b \sin (c+d x))^7 \, dx\) [142]
\(\int (a \cos (c+d x)+b \sin (c+d x))^6 \, dx\) [143]
\(\int (a \cos (c+d x)+b \sin (c+d x))^5 \, dx\) [144]
\(\int (a \cos (c+d x)+b \sin (c+d x))^4 \, dx\) [145]
\(\int (a \cos (c+d x)+b \sin (c+d x))^3 \, dx\) [146]
\(\int (a \cos (c+d x)+b \sin (c+d x))^2 \, dx\) [147]
\(\int (a \cos (c+d x)+b \sin (c+d x)) \, dx\) [148]
\(\int \genfrac {}{}{}{}{1}{a \cos (c+d x)+b \sin (c+d x)} \, dx\) [149]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^2} \, dx\) [150]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^3} \, dx\) [151]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^4} \, dx\) [152]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^5} \, dx\) [153]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^6} \, dx\) [154]
\(\int (a \cos (c+d x)+b \sin (c+d x))^{7/2} \, dx\) [155]
\(\int (a \cos (c+d x)+b \sin (c+d x))^{5/2} \, dx\) [156]
\(\int (a \cos (c+d x)+b \sin (c+d x))^{3/2} \, dx\) [157]
\(\int \sqrt {a \cos (c+d x)+b \sin (c+d x)} \, dx\) [158]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a \cos (c+d x)+b \sin (c+d x)}} \, dx\) [159]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^{3/2}} \, dx\) [160]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^{5/2}} \, dx\) [161]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+b \sin (c+d x))^{7/2}} \, dx\) [162]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^{7/2} \, dx\) [163]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^{5/2} \, dx\) [164]
\(\int (2 \cos (c+d x)+3 \sin (c+d x))^{3/2} \, dx\) [165]
\(\int \sqrt {2 \cos (c+d x)+3 \sin (c+d x)} \, dx\) [166]
\(\int \genfrac {}{}{}{}{1}{\sqrt {2 \cos (c+d x)+3 \sin (c+d x)}} \, dx\) [167]
\(\int \genfrac {}{}{}{}{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{3/2}} \, dx\) [168]
\(\int \genfrac {}{}{}{}{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{5/2}} \, dx\) [169]
\(\int \genfrac {}{}{}{}{1}{(2 \cos (c+d x)+3 \sin (c+d x))^{7/2}} \, dx\) [170]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^n \, dx\) [171]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^4 \, dx\) [172]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^3 \, dx\) [173]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^2 \, dx\) [174]
\(\int (a \cos (c+d x)+i a \sin (c+d x)) \, dx\) [175]
\(\int \genfrac {}{}{}{}{1}{a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [176]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^2} \, dx\) [177]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^3} \, dx\) [178]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^4} \, dx\) [179]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^{5/2} \, dx\) [180]
\(\int (a \cos (c+d x)+i a \sin (c+d x))^{3/2} \, dx\) [181]
\(\int \sqrt {a \cos (c+d x)+i a \sin (c+d x)} \, dx\) [182]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a \cos (c+d x)+i a \sin (c+d x)}} \, dx\) [183]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^{3/2}} \, dx\) [184]
\(\int \genfrac {}{}{}{}{1}{(a \cos (c+d x)+i a \sin (c+d x))^{5/2}} \, dx\) [185]
\(\int (\sin (x)+\tan (x))^4 \, dx\) [186]
\(\int (\sin (x)+\tan (x))^3 \, dx\) [187]
\(\int (\sin (x)+\tan (x))^2 \, dx\) [188]
\(\int (\sin (x)+\tan (x)) \, dx\) [189]
\(\int \genfrac {}{}{}{}{1}{\sin (x)+\tan (x)} \, dx\) [190]
\(\int \genfrac {}{}{}{}{1}{(\sin (x)+\tan (x))^2} \, dx\) [191]
\(\int \genfrac {}{}{}{}{1}{(\sin (x)+\tan (x))^3} \, dx\) [192]
\(\int \genfrac {}{}{}{}{1}{(\sin (x)+\tan (x))^4} \, dx\) [193]
\(\int \genfrac {}{}{}{}{1}{a \sec (c+d x)+a \sin (c+d x)} \, dx\) [194]
\(\int \genfrac {}{}{}{}{1}{-a \sec (c+d x)+a \sin (c+d x)} \, dx\) [195]
\(\int (\csc (x)-\sin (x))^4 \, dx\) [196]
\(\int (\csc (x)-\sin (x))^3 \, dx\) [197]
\(\int (\csc (x)-\sin (x))^2 \, dx\) [198]
\(\int (\csc (x)-\sin (x)) \, dx\) [199]
\(\int \genfrac {}{}{}{}{1}{\csc (x)-\sin (x)} \, dx\) [200]