3.3 Integrals 201 to 300

\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c-c \sin (e+f x))^2} \, dx\) [201]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c-c \sin (e+f x))^3} \, dx\) [202]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [203]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+c \sin (e+f x))^m}{\sqrt {a-a \sin (e+f x)}} \, dx\) [204]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{5/2} \, dx\) [205]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{3/2} \, dx\) [206]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) \sqrt {c-c \sin (e+f x)} \, dx\) [207]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{\sqrt {c-c \sin (e+f x)}} \, dx\) [208]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{3/2}} \, dx\) [209]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^m (A+B \sin (e+f x))}{(c-c \sin (e+f x))^{5/2}} \, dx\) [210]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-4-m} \, dx\) [211]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-3-m} \, dx\) [212]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-2-m} \, dx\) [213]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-1-m} \, dx\) [214]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{-m} \, dx\) [215]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{1-m} \, dx\) [216]
\(\int (a+a \sin (e+f x))^m (A+B \sin (e+f x)) (c-c \sin (e+f x))^{2-m} \, dx\) [217]
\(\int (a+a \sin (e+f x))^3 (c-c \sin (e+f x))^n (B (3-n)-B (4+n) \sin (e+f x)) \, dx\) [218]
\(\int (a-a \sin (e+f x))^3 (c+c \sin (e+f x))^n (B (3-n)+B (4+n) \sin (e+f x)) \, dx\) [219]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^3 (B (-3+m)-B (4+m) \sin (e+f x)) \, dx\) [220]
\(\int (a-a \sin (e+f x))^m (c+c \sin (e+f x))^3 (B (-3+m)+B (4+m) \sin (e+f x)) \, dx\) [221]
\(\int (a+a \sin (e+f x))^m (c-c \sin (e+f x))^n (B (m-n)-B (1+m+n) \sin (e+f x)) \, dx\) [222]
\(\int (a-a \sin (e+f x))^m (c+c \sin (e+f x))^n (B (m-n)+B (1+m+n) \sin (e+f x)) \, dx\) [223]
\(\int \sin ^3(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [224]
\(\int \sin ^2(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [225]
\(\int \sin (c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [226]
\(\int (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [227]
\(\int \csc (c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [228]
\(\int \csc ^2(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [229]
\(\int \csc ^3(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [230]
\(\int \csc ^4(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [231]
\(\int \csc ^5(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [232]
\(\int \csc ^6(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [233]
\(\int \csc ^7(c+d x) (a+a \sin (c+d x))^3 (A-A \sin (c+d x)) \, dx\) [234]
\(\int \genfrac {}{}{}{}{\sin ^4(c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [235]
\(\int \genfrac {}{}{}{}{\sin ^3(c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [236]
\(\int \genfrac {}{}{}{}{\sin ^2(c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [237]
\(\int \genfrac {}{}{}{}{\sin (c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [238]
\(\int \genfrac {}{}{}{}{A-A \sin (c+d x)}{(a+a \sin (c+d x))^3} \, dx\) [239]
\(\int \genfrac {}{}{}{}{\csc (c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [240]
\(\int \genfrac {}{}{}{}{\csc ^2(c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [241]
\(\int \genfrac {}{}{}{}{\csc ^3(c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [242]
\(\int \genfrac {}{}{}{}{\csc ^4(c+d x) (A-A \sin (c+d x))}{(a+a \sin (c+d x))^3} \, dx\) [243]
\(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [244]
\(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [245]
\(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [246]
\(\int (a+a \sin (e+f x)) (A+B \sin (e+f x)) \, dx\) [247]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [248]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [249]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x)) (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [250]
\(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [251]
\(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [252]
\(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [253]
\(\int (a+a \sin (e+f x))^2 (A+B \sin (e+f x)) \, dx\) [254]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [255]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [256]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^2 (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [257]
\(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [258]
\(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [259]
\(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [260]
\(\int (a+a \sin (e+f x))^3 (A+B \sin (e+f x)) \, dx\) [261]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [262]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [263]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^3 (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [264]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{a+a \sin (e+f x)} \, dx\) [265]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{a+a \sin (e+f x)} \, dx\) [266]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{a+a \sin (e+f x)} \, dx\) [267]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{a+a \sin (e+f x)} \, dx\) [268]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c+d \sin (e+f x))} \, dx\) [269]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c+d \sin (e+f x))^2} \, dx\) [270]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x)) (c+d \sin (e+f x))^3} \, dx\) [271]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^2} \, dx\) [272]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^2} \, dx\) [273]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{(a+a \sin (e+f x))^2} \, dx\) [274]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2} \, dx\) [275]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))} \, dx\) [276]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^2} \, dx\) [277]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^2 (c+d \sin (e+f x))^3} \, dx\) [278]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^3}{(a+a \sin (e+f x))^3} \, dx\) [279]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))^2}{(a+a \sin (e+f x))^3} \, dx\) [280]
\(\int \genfrac {}{}{}{}{(A+B \sin (e+f x)) (c+d \sin (e+f x))}{(a+a \sin (e+f x))^3} \, dx\) [281]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3} \, dx\) [282]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))} \, dx\) [283]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^2} \, dx\) [284]
\(\int \genfrac {}{}{}{}{A+B \sin (e+f x)}{(a+a \sin (e+f x))^3 (c+d \sin (e+f x))^3} \, dx\) [285]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [286]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [287]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [288]
\(\int \sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x)) \, dx\) [289]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [290]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [291]
\(\int \genfrac {}{}{}{}{\sqrt {a+a \sin (e+f x)} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [292]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [293]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [294]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [295]
\(\int (a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x)) \, dx\) [296]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{c+d \sin (e+f x)} \, dx\) [297]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^2} \, dx\) [298]
\(\int \genfrac {}{}{}{}{(a+a \sin (e+f x))^{3/2} (A+B \sin (e+f x))}{(c+d \sin (e+f x))^3} \, dx\) [299]
\(\int (a+a \sin (e+f x))^{5/2} (A+B \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [300]