3.1.1 \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a+a \cos (x)} \, dx\) [1]
  3.1.2 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a+a \cos (x)} \, dx\) [2]
  3.1.3 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+a \cos (x)} \, dx\) [3]
  3.1.4 \(\int \genfrac {}{}{}{}{\sin (x)}{a+a \cos (x)} \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{1}{a+a \cos (x)} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{\csc (x)}{a+a \cos (x)} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+a \cos (x)} \, dx\) [7]
  3.1.8 \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a+a \cos (x)} \, dx\) [8]
  3.1.9 \(\int \genfrac {}{}{}{}{\csc ^4(x)}{a+a \cos (x)} \, dx\) [9]
  3.1.10 \(\int \genfrac {}{}{}{}{\sin (2 x)}{1+\cos (2 x)} \, dx\) [10]
  3.1.11 \(\int \genfrac {}{}{}{}{\sin (2 x)}{1-\cos (2 x)} \, dx\) [11]
  3.1.12 \(\int \genfrac {}{}{}{}{\sin (x)}{(1+\cos (x))^2} \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{\sin (x)}{(1-\cos (x))^2} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{(1+\cos (x))^2} \, dx\) [14]
  3.1.15 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{(1-\cos (x))^2} \, dx\) [15]
  3.1.16 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{(1+\cos (x))^2} \, dx\) [16]
  3.1.17 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{(1-\cos (x))^2} \, dx\) [17]
  3.1.18 \(\int \genfrac {}{}{}{}{\sin (x)}{(1+\cos (x))^3} \, dx\) [18]
  3.1.19 \(\int \genfrac {}{}{}{}{\sin (x)}{(1-\cos (x))^3} \, dx\) [19]
  3.1.20 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{(1+\cos (x))^3} \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{(1-\cos (x))^3} \, dx\) [21]
  3.1.22 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{(1+\cos (x))^3} \, dx\) [22]
  3.1.23 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{(1-\cos (x))^3} \, dx\) [23]
  3.1.24 \(\int \genfrac {}{}{}{}{\sin ^4(x)}{a+b \cos (x)} \, dx\) [24]
  3.1.25 \(\int \genfrac {}{}{}{}{\sin ^3(x)}{a+b \cos (x)} \, dx\) [25]
  3.1.26 \(\int \genfrac {}{}{}{}{\sin ^2(x)}{a+b \cos (x)} \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{\sin (x)}{a+b \cos (x)} \, dx\) [27]
  3.1.28 \(\int \genfrac {}{}{}{}{1}{a+b \cos (x)} \, dx\) [28]
  3.1.29 \(\int \genfrac {}{}{}{}{\csc (x)}{a+b \cos (x)} \, dx\) [29]
  3.1.30 \(\int \genfrac {}{}{}{}{\csc ^2(x)}{a+b \cos (x)} \, dx\) [30]
  3.1.31 \(\int \genfrac {}{}{}{}{\csc ^3(x)}{a+b \cos (x)} \, dx\) [31]
  3.1.32 \(\int \genfrac {}{}{}{}{\csc ^4(x)}{a+b \cos (x)} \, dx\) [32]
  3.1.33 \(\int (a+b \cos (c+d x)) (e \sin (c+d x))^{7/2} \, dx\) [33]
  3.1.34 \(\int (a+b \cos (c+d x)) (e \sin (c+d x))^{5/2} \, dx\) [34]
  3.1.35 \(\int (a+b \cos (c+d x)) (e \sin (c+d x))^{3/2} \, dx\) [35]
  3.1.36 \(\int (a+b \cos (c+d x)) \sqrt {e \sin (c+d x)} \, dx\) [36]
  3.1.37 \(\int \genfrac {}{}{}{}{a+b \cos (c+d x)}{\sqrt {e \sin (c+d x)}} \, dx\) [37]
  3.1.38 \(\int \genfrac {}{}{}{}{a+b \cos (c+d x)}{(e \sin (c+d x))^{3/2}} \, dx\) [38]
  3.1.39 \(\int \genfrac {}{}{}{}{a+b \cos (c+d x)}{(e \sin (c+d x))^{5/2}} \, dx\) [39]
  3.1.40 \(\int \genfrac {}{}{}{}{a+b \cos (c+d x)}{(e \sin (c+d x))^{7/2}} \, dx\) [40]
  3.1.41 \(\int (a+b \cos (c+d x))^2 (e \sin (c+d x))^{7/2} \, dx\) [41]
  3.1.42 \(\int (a+b \cos (c+d x))^2 (e \sin (c+d x))^{5/2} \, dx\) [42]
  3.1.43 \(\int (a+b \cos (c+d x))^2 (e \sin (c+d x))^{3/2} \, dx\) [43]
  3.1.44 \(\int (a+b \cos (c+d x))^2 \sqrt {e \sin (c+d x)} \, dx\) [44]
  3.1.45 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{\sqrt {e \sin (c+d x)}} \, dx\) [45]
  3.1.46 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{(e \sin (c+d x))^{3/2}} \, dx\) [46]
  3.1.47 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{(e \sin (c+d x))^{5/2}} \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^2}{(e \sin (c+d x))^{7/2}} \, dx\) [48]
  3.1.49 \(\int (a+b \cos (c+d x))^3 (e \sin (c+d x))^{7/2} \, dx\) [49]
  3.1.50 \(\int (a+b \cos (c+d x))^3 (e \sin (c+d x))^{5/2} \, dx\) [50]
  3.1.51 \(\int (a+b \cos (c+d x))^3 (e \sin (c+d x))^{3/2} \, dx\) [51]
  3.1.52 \(\int (a+b \cos (c+d x))^3 \sqrt {e \sin (c+d x)} \, dx\) [52]
  3.1.53 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{\sqrt {e \sin (c+d x)}} \, dx\) [53]
  3.1.54 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{(e \sin (c+d x))^{3/2}} \, dx\) [54]
  3.1.55 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{(e \sin (c+d x))^{5/2}} \, dx\) [55]
  3.1.56 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{(e \sin (c+d x))^{7/2}} \, dx\) [56]
  3.1.57 \(\int \genfrac {}{}{}{}{(a+b \cos (c+d x))^3}{(e \sin (c+d x))^{9/2}} \, dx\) [57]
  3.1.58 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{11/2}}{a+b \cos (c+d x)} \, dx\) [58]
  3.1.59 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{9/2}}{a+b \cos (c+d x)} \, dx\) [59]
  3.1.60 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{7/2}}{a+b \cos (c+d x)} \, dx\) [60]
  3.1.61 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{5/2}}{a+b \cos (c+d x)} \, dx\) [61]
  3.1.62 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{3/2}}{a+b \cos (c+d x)} \, dx\) [62]
  3.1.63 \(\int \genfrac {}{}{}{}{\sqrt {e \sin (c+d x)}}{a+b \cos (c+d x)} \, dx\) [63]
  3.1.64 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) \sqrt {e \sin (c+d x)}} \, dx\) [64]
  3.1.65 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) (e \sin (c+d x))^{3/2}} \, dx\) [65]
  3.1.66 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) (e \sin (c+d x))^{5/2}} \, dx\) [66]
  3.1.67 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x)) (e \sin (c+d x))^{7/2}} \, dx\) [67]
  3.1.68 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{11/2}}{(a+b \cos (c+d x))^2} \, dx\) [68]
  3.1.69 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{9/2}}{(a+b \cos (c+d x))^2} \, dx\) [69]
  3.1.70 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{7/2}}{(a+b \cos (c+d x))^2} \, dx\) [70]
  3.1.71 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{5/2}}{(a+b \cos (c+d x))^2} \, dx\) [71]
  3.1.72 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{3/2}}{(a+b \cos (c+d x))^2} \, dx\) [72]
  3.1.73 \(\int \genfrac {}{}{}{}{\sqrt {e \sin (c+d x)}}{(a+b \cos (c+d x))^2} \, dx\) [73]
  3.1.74 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 \sqrt {e \sin (c+d x)}} \, dx\) [74]
  3.1.75 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 (e \sin (c+d x))^{3/2}} \, dx\) [75]
  3.1.76 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 (e \sin (c+d x))^{5/2}} \, dx\) [76]
  3.1.77 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^2 (e \sin (c+d x))^{7/2}} \, dx\) [77]
  3.1.78 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{13/2}}{(a+b \cos (c+d x))^3} \, dx\) [78]
  3.1.79 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{11/2}}{(a+b \cos (c+d x))^3} \, dx\) [79]
  3.1.80 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{9/2}}{(a+b \cos (c+d x))^3} \, dx\) [80]
  3.1.81 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{7/2}}{(a+b \cos (c+d x))^3} \, dx\) [81]
  3.1.82 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{5/2}}{(a+b \cos (c+d x))^3} \, dx\) [82]
  3.1.83 \(\int \genfrac {}{}{}{}{(e \sin (c+d x))^{3/2}}{(a+b \cos (c+d x))^3} \, dx\) [83]
  3.1.84 \(\int \genfrac {}{}{}{}{\sqrt {e \sin (c+d x)}}{(a+b \cos (c+d x))^3} \, dx\) [84]
  3.1.85 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 \sqrt {e \sin (c+d x)}} \, dx\) [85]
  3.1.86 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 (e \sin (c+d x))^{3/2}} \, dx\) [86]
  3.1.87 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 (e \sin (c+d x))^{5/2}} \, dx\) [87]
  3.1.88 \(\int \genfrac {}{}{}{}{1}{(a+b \cos (c+d x))^3 (e \sin (c+d x))^{7/2}} \, dx\) [88]