\(\int \sin (a+b x) \sin ^7(2 a+2 b x) \, dx\) [1]
   \(\int \sin (a+b x) \sin ^6(2 a+2 b x) \, dx\) [2]
   \(\int \sin (a+b x) \sin ^5(2 a+2 b x) \, dx\) [3]
   \(\int \sin (a+b x) \sin ^4(2 a+2 b x) \, dx\) [4]
   \(\int \sin (a+b x) \sin ^3(2 a+2 b x) \, dx\) [5]
   \(\int \sin (a+b x) \sin ^2(2 a+2 b x) \, dx\) [6]
   \(\int \sin (a+b x) \sin (2 a+2 b x) \, dx\) [7]
   \(\int \csc (2 a+2 b x) \sin (a+b x) \, dx\) [8]
   \(\int \csc ^2(2 a+2 b x) \sin (a+b x) \, dx\) [9]
   \(\int \csc ^3(2 a+2 b x) \sin (a+b x) \, dx\) [10]
   \(\int \csc ^4(2 a+2 b x) \sin (a+b x) \, dx\) [11]
   \(\int \csc ^5(2 a+2 b x) \sin (a+b x) \, dx\) [12]
   \(\int \sin ^2(a+b x) \sin ^5(2 a+2 b x) \, dx\) [13]
   \(\int \sin ^2(a+b x) \sin ^4(2 a+2 b x) \, dx\) [14]
   \(\int \sin ^2(a+b x) \sin ^3(2 a+2 b x) \, dx\) [15]
   \(\int \sin ^2(a+b x) \sin ^2(2 a+2 b x) \, dx\) [16]
   \(\int \sin ^2(a+b x) \sin (2 a+2 b x) \, dx\) [17]
   \(\int \csc (2 a+2 b x) \sin ^2(a+b x) \, dx\) [18]
   \(\int \csc ^2(2 a+2 b x) \sin ^2(a+b x) \, dx\) [19]
   \(\int \csc ^3(2 a+2 b x) \sin ^2(a+b x) \, dx\) [20]
   \(\int \csc ^4(2 a+2 b x) \sin ^2(a+b x) \, dx\) [21]
   \(\int \csc ^5(2 a+2 b x) \sin ^2(a+b x) \, dx\) [22]
   \(\int \sin ^3(a+b x) \sin ^5(2 a+2 b x) \, dx\) [23]
   \(\int \sin ^3(a+b x) \sin ^4(2 a+2 b x) \, dx\) [24]
   \(\int \sin ^3(a+b x) \sin ^3(2 a+2 b x) \, dx\) [25]
   \(\int \sin ^3(a+b x) \sin ^2(2 a+2 b x) \, dx\) [26]
   \(\int \sin ^3(a+b x) \sin (2 a+2 b x) \, dx\) [27]
   \(\int \csc (2 a+2 b x) \sin ^3(a+b x) \, dx\) [28]
   \(\int \csc ^2(2 a+2 b x) \sin ^3(a+b x) \, dx\) [29]
   \(\int \csc ^3(2 a+2 b x) \sin ^3(a+b x) \, dx\) [30]
   \(\int \csc ^4(2 a+2 b x) \sin ^3(a+b x) \, dx\) [31]
   \(\int \csc ^5(2 a+2 b x) \sin ^3(a+b x) \, dx\) [32]
   \(\int \csc (a+b x) \sin ^8(2 a+2 b x) \, dx\) [33]
   \(\int \csc (a+b x) \sin ^7(2 a+2 b x) \, dx\) [34]
   \(\int \csc (a+b x) \sin ^6(2 a+2 b x) \, dx\) [35]
   \(\int \csc (a+b x) \sin ^5(2 a+2 b x) \, dx\) [36]
   \(\int \csc (a+b x) \sin ^4(2 a+2 b x) \, dx\) [37]
   \(\int \csc (a+b x) \sin ^3(2 a+2 b x) \, dx\) [38]
   \(\int \csc (a+b x) \sin ^2(2 a+2 b x) \, dx\) [39]
   \(\int \csc (a+b x) \sin (2 a+2 b x) \, dx\) [40]
   \(\int \csc (a+b x) \csc (2 a+2 b x) \, dx\) [41]
   \(\int \csc (a+b x) \csc ^2(2 a+2 b x) \, dx\) [42]
   \(\int \csc (a+b x) \csc ^3(2 a+2 b x) \, dx\) [43]
   \(\int \csc (a+b x) \csc ^4(2 a+2 b x) \, dx\) [44]
   \(\int \csc ^2(a+b x) \sin ^8(2 a+2 b x) \, dx\) [45]
   \(\int \csc ^2(a+b x) \sin ^7(2 a+2 b x) \, dx\) [46]
   \(\int \csc ^2(a+b x) \sin ^6(2 a+2 b x) \, dx\) [47]
   \(\int \csc ^2(a+b x) \sin ^5(2 a+2 b x) \, dx\) [48]
   \(\int \csc ^2(a+b x) \sin ^4(2 a+2 b x) \, dx\) [49]
   \(\int \csc ^2(a+b x) \sin ^3(2 a+2 b x) \, dx\) [50]
   \(\int \csc ^2(a+b x) \sin ^2(2 a+2 b x) \, dx\) [51]
   \(\int \csc ^2(a+b x) \sin (2 a+2 b x) \, dx\) [52]
   \(\int \csc ^2(a+b x) \csc (2 a+2 b x) \, dx\) [53]
   \(\int \csc ^2(a+b x) \csc ^2(2 a+2 b x) \, dx\) [54]
   \(\int \csc ^2(a+b x) \csc ^3(2 a+2 b x) \, dx\) [55]
   \(\int \csc ^2(a+b x) \csc ^4(2 a+2 b x) \, dx\) [56]
   \(\int \csc ^2(a+b x) \csc ^5(2 a+2 b x) \, dx\) [57]
   \(\int \csc ^2(a+b x) \csc ^6(2 a+2 b x) \, dx\) [58]
   \(\int \csc ^3(a+b x) \sin ^{10}(2 a+2 b x) \, dx\) [59]
   \(\int \csc ^3(a+b x) \sin ^9(2 a+2 b x) \, dx\) [60]
   \(\int \csc ^3(a+b x) \sin ^8(2 a+2 b x) \, dx\) [61]
   \(\int \csc ^3(a+b x) \sin ^7(2 a+2 b x) \, dx\) [62]
   \(\int \csc ^3(a+b x) \sin ^6(2 a+2 b x) \, dx\) [63]
   \(\int \csc ^3(a+b x) \sin ^5(2 a+2 b x) \, dx\) [64]
   \(\int \csc ^3(a+b x) \sin ^4(2 a+2 b x) \, dx\) [65]
   \(\int \csc ^3(a+b x) \sin ^3(2 a+2 b x) \, dx\) [66]
   \(\int \csc ^3(a+b x) \sin ^2(2 a+2 b x) \, dx\) [67]
   \(\int \csc ^3(a+b x) \sin (2 a+2 b x) \, dx\) [68]
   \(\int \csc ^3(a+b x) \csc (2 a+2 b x) \, dx\) [69]
   \(\int \csc ^3(a+b x) \csc ^2(2 a+2 b x) \, dx\) [70]
   \(\int \csc ^3(a+b x) \csc ^3(2 a+2 b x) \, dx\) [71]
   \(\int \csc ^3(a+b x) \csc ^4(2 a+2 b x) \, dx\) [72]
   \(\int \sin (a+b x) \sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x) \, dx\) [73]
   \(\int \sin (a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [74]
   \(\int \sin (a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [75]
   \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sqrt {\sin (2 a+2 b x)}} \, dx\) [76]
   \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x)} \, dx\) [77]
   \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x)} \, dx\) [78]
   \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x)} \, dx\) [79]
   \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sin ^{\genfrac {}{}{}{}{9}{2}}(2 a+2 b x)} \, dx\) [80]
   \(\int \sin ^2(a+b x) \sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x) \, dx\) [81]
   \(\int \sin ^2(a+b x) \sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x) \, dx\) [82]
   \(\int \sin ^2(a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [83]
   \(\int \sin ^2(a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [84]
   \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sqrt {\sin (2 a+2 b x)}} \, dx\) [85]
   \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x)} \, dx\) [86]
   \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x)} \, dx\) [87]
   \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x)} \, dx\) [88]
   \(\int \sin ^3(a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [89]
   \(\int \sin ^3(a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [90]
   \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sqrt {\sin (2 a+2 b x)}} \, dx\) [91]
   \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x)} \, dx\) [92]
   \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x)} \, dx\) [93]
   \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x)} \, dx\) [94]
   \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sin ^{\genfrac {}{}{}{}{9}{2}}(2 a+2 b x)} \, dx\) [95]
   \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sin ^{\genfrac {}{}{}{}{11}{2}}(2 a+2 b x)} \, dx\) [96]
   \(\int \csc (a+b x) \sin ^{\genfrac {}{}{}{}{7}{2}}(2 a+2 b x) \, dx\) [97]
   \(\int \csc (a+b x) \sin ^{\genfrac {}{}{}{}{5}{2}}(2 a+2 b x) \, dx\) [98]
   \(\int \csc (a+b x) \sin ^{\genfrac {}{}{}{}{3}{2}}(2 a+2 b x) \, dx\) [99]
   \(\int \csc (a+b x) \sqrt {\sin (2 a+2 b x)} \, dx\) [100]