\(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^{5/2} \sqrt {c-c \sin (e+f x)}} \, dx\) [401]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{3/2}} \, dx\) [402]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^{5/2} (c-c \sin (e+f x))^{5/2}} \, dx\) [403]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^n \, dx\) [404]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^3 \, dx\) [405]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^2 \, dx\) [406]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x)) \, dx\) [407]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{c-c \sin (e+f x)} \, dx\) [408]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{(c-c \sin (e+f x))^2} \, dx\) [409]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{(c-c \sin (e+f x))^3} \, dx\) [410]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{5/2} \, dx\) [411]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{3/2} \, dx\) [412]
   \(\int (3+3 \sin (e+f x))^m \sqrt {c-c \sin (e+f x)} \, dx\) [413]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{\sqrt {c-c \sin (e+f x)}} \, dx\) [414]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{(c-c \sin (e+f x))^{3/2}} \, dx\) [415]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{(c-c \sin (e+f x))^{5/2}} \, dx\) [416]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^m}{\sqrt {c-c \sin (e+f x)}} \, dx\) [417]
   \(\int \genfrac {}{}{}{}{(c+c \sin (e+f x))^m}{\sqrt {3-3 \sin (e+f x)}} \, dx\) [418]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{-3-m} \, dx\) [419]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{-2-m} \, dx\) [420]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{-1-m} \, dx\) [421]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{-m} \, dx\) [422]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{1-m} \, dx\) [423]
   \(\int (3+3 \sin (e+f x))^m (c-c \sin (e+f x))^{2-m} \, dx\) [424]
   \(\int (3+3 \sin (e+f x)) (c+d \sin (e+f x))^4 \, dx\) [425]
   \(\int (3+3 \sin (e+f x)) (c+d \sin (e+f x))^3 \, dx\) [426]
   \(\int (3+3 \sin (e+f x)) (c+d \sin (e+f x))^2 \, dx\) [427]
   \(\int (3+3 \sin (e+f x)) (c+d \sin (e+f x)) \, dx\) [428]
   \(\int (3+3 \sin (e+f x)) \, dx\) [429]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{c+d \sin (e+f x)} \, dx\) [430]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{(c+d \sin (e+f x))^2} \, dx\) [431]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{(c+d \sin (e+f x))^3} \, dx\) [432]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{(c+d \sin (e+f x))^4} \, dx\) [433]
   \(\int (3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^4 \, dx\) [434]
   \(\int (3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^3 \, dx\) [435]
   \(\int (3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^2 \, dx\) [436]
   \(\int (3+3 \sin (e+f x))^2 (c+d \sin (e+f x)) \, dx\) [437]
   \(\int (3+3 \sin (e+f x))^2 \, dx\) [438]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{c+d \sin (e+f x)} \, dx\) [439]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^2} \, dx\) [440]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^3} \, dx\) [441]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^4} \, dx\) [442]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^5} \, dx\) [443]
   \(\int (3+3 \sin (e+f x))^3 (c+d \sin (e+f x))^3 \, dx\) [444]
   \(\int (3+3 \sin (e+f x))^3 (c+d \sin (e+f x))^2 \, dx\) [445]
   \(\int (3+3 \sin (e+f x))^3 (c+d \sin (e+f x)) \, dx\) [446]
   \(\int (3+3 \sin (e+f x))^3 \, dx\) [447]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{c+d \sin (e+f x)} \, dx\) [448]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{(c+d \sin (e+f x))^2} \, dx\) [449]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{(c+d \sin (e+f x))^3} \, dx\) [450]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{(c+d \sin (e+f x))^4} \, dx\) [451]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{(c+d \sin (e+f x))^5} \, dx\) [452]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^4}{3+3 \sin (e+f x)} \, dx\) [453]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^3}{3+3 \sin (e+f x)} \, dx\) [454]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^2}{3+3 \sin (e+f x)} \, dx\) [455]
   \(\int \genfrac {}{}{}{}{c+d \sin (e+f x)}{3+3 \sin (e+f x)} \, dx\) [456]
   \(\int \genfrac {}{}{}{}{1}{3+3 \sin (e+f x)} \, dx\) [457]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x)) (c+d \sin (e+f x))} \, dx\) [458]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x)) (c+d \sin (e+f x))^2} \, dx\) [459]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x)) (c+d \sin (e+f x))^3} \, dx\) [460]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^5}{(3+3 \sin (e+f x))^2} \, dx\) [461]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^4}{(3+3 \sin (e+f x))^2} \, dx\) [462]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^3}{(3+3 \sin (e+f x))^2} \, dx\) [463]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^2}{(3+3 \sin (e+f x))^2} \, dx\) [464]
   \(\int \genfrac {}{}{}{}{c+d \sin (e+f x)}{(3+3 \sin (e+f x))^2} \, dx\) [465]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^2} \, dx\) [466]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^2 (c+d \sin (e+f x))} \, dx\) [467]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^2} \, dx\) [468]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^3} \, dx\) [469]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^6}{(3+3 \sin (e+f x))^3} \, dx\) [470]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^5}{(3+3 \sin (e+f x))^3} \, dx\) [471]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^4}{(3+3 \sin (e+f x))^3} \, dx\) [472]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^3}{(3+3 \sin (e+f x))^3} \, dx\) [473]
   \(\int \genfrac {}{}{}{}{(c+d \sin (e+f x))^2}{(3+3 \sin (e+f x))^3} \, dx\) [474]
   \(\int \genfrac {}{}{}{}{c+d \sin (e+f x)}{(3+3 \sin (e+f x))^3} \, dx\) [475]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^3} \, dx\) [476]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^3 (c+d \sin (e+f x))} \, dx\) [477]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^3 (c+d \sin (e+f x))^2} \, dx\) [478]
   \(\int \genfrac {}{}{}{}{1}{(3+3 \sin (e+f x))^3 (c+d \sin (e+f x))^3} \, dx\) [479]
   \(\int \genfrac {}{}{}{}{A+B \sin (x)}{(1+\sin (x))^4} \, dx\) [480]
   \(\int \genfrac {}{}{}{}{A+B \sin (x)}{(1-\sin (x))^4} \, dx\) [481]
   \(\int (3+3 \sin (e+f x)) (c+d \sin (e+f x))^{5/2} \, dx\) [482]
   \(\int (3+3 \sin (e+f x)) (c+d \sin (e+f x))^{3/2} \, dx\) [483]
   \(\int (3+3 \sin (e+f x)) \sqrt {c+d \sin (e+f x)} \, dx\) [484]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{\sqrt {c+d \sin (e+f x)}} \, dx\) [485]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{(c+d \sin (e+f x))^{3/2}} \, dx\) [486]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{(c+d \sin (e+f x))^{5/2}} \, dx\) [487]
   \(\int \genfrac {}{}{}{}{3+3 \sin (e+f x)}{(c+d \sin (e+f x))^{7/2}} \, dx\) [488]
   \(\int (3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^{5/2} \, dx\) [489]
   \(\int (3+3 \sin (e+f x))^2 (c+d \sin (e+f x))^{3/2} \, dx\) [490]
   \(\int (3+3 \sin (e+f x))^2 \sqrt {c+d \sin (e+f x)} \, dx\) [491]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{\sqrt {c+d \sin (e+f x)}} \, dx\) [492]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^{3/2}} \, dx\) [493]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^{5/2}} \, dx\) [494]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^2}{(c+d \sin (e+f x))^{7/2}} \, dx\) [495]
   \(\int (3+3 \sin (e+f x))^3 (c+d \sin (e+f x))^{5/2} \, dx\) [496]
   \(\int (3+3 \sin (e+f x))^3 (c+d \sin (e+f x))^{3/2} \, dx\) [497]
   \(\int (3+3 \sin (e+f x))^3 \sqrt {c+d \sin (e+f x)} \, dx\) [498]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{\sqrt {c+d \sin (e+f x)}} \, dx\) [499]
   \(\int \genfrac {}{}{}{}{(3+3 \sin (e+f x))^3}{(c+d \sin (e+f x))^{3/2}} \, dx\) [500]