3.1.1 \(\int (c+d x)^4 \sin (a+b x) \, dx\) [1]
  3.1.2 \(\int (c+d x)^3 \sin (a+b x) \, dx\) [2]
  3.1.3 \(\int (c+d x)^2 \sin (a+b x) \, dx\) [3]
  3.1.4 \(\int (c+d x) \sin (a+b x) \, dx\) [4]
  3.1.5 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{c+d x} \, dx\) [5]
  3.1.6 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{(c+d x)^2} \, dx\) [6]
  3.1.7 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{(c+d x)^3} \, dx\) [7]
  3.1.8 \(\int (c+d x)^4 \sin ^2(a+b x) \, dx\) [8]
  3.1.9 \(\int (c+d x)^3 \sin ^2(a+b x) \, dx\) [9]
  3.1.10 \(\int (c+d x)^2 \sin ^2(a+b x) \, dx\) [10]
  3.1.11 \(\int (c+d x) \sin ^2(a+b x) \, dx\) [11]
  3.1.12 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{c+d x} \, dx\) [12]
  3.1.13 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^2} \, dx\) [13]
  3.1.14 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^3} \, dx\) [14]
  3.1.15 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^4} \, dx\) [15]
  3.1.16 \(\int (c+d x)^4 \sin ^3(a+b x) \, dx\) [16]
  3.1.17 \(\int (c+d x)^3 \sin ^3(a+b x) \, dx\) [17]
  3.1.18 \(\int (c+d x)^2 \sin ^3(a+b x) \, dx\) [18]
  3.1.19 \(\int (c+d x) \sin ^3(a+b x) \, dx\) [19]
  3.1.20 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{c+d x} \, dx\) [20]
  3.1.21 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{(c+d x)^2} \, dx\) [21]
  3.1.22 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{(c+d x)^3} \, dx\) [22]
  3.1.23 \(\int (c+d x)^3 \csc (a+b x) \, dx\) [23]
  3.1.24 \(\int (c+d x)^2 \csc (a+b x) \, dx\) [24]
  3.1.25 \(\int (c+d x) \csc (a+b x) \, dx\) [25]
  3.1.26 \(\int \genfrac {}{}{}{}{\csc (a+b x)}{c+d x} \, dx\) [26]
  3.1.27 \(\int \genfrac {}{}{}{}{\csc (a+b x)}{(c+d x)^2} \, dx\) [27]
  3.1.28 \(\int (c+d x)^3 \csc ^2(a+b x) \, dx\) [28]
  3.1.29 \(\int (c+d x)^2 \csc ^2(a+b x) \, dx\) [29]
  3.1.30 \(\int (c+d x) \csc ^2(a+b x) \, dx\) [30]
  3.1.31 \(\int \genfrac {}{}{}{}{\csc ^2(a+b x)}{c+d x} \, dx\) [31]
  3.1.32 \(\int \genfrac {}{}{}{}{\csc ^2(a+b x)}{(c+d x)^2} \, dx\) [32]
  3.1.33 \(\int (c+d x)^3 \csc ^3(a+b x) \, dx\) [33]
  3.1.34 \(\int (c+d x)^2 \csc ^3(a+b x) \, dx\) [34]
  3.1.35 \(\int (c+d x) \csc ^3(a+b x) \, dx\) [35]
  3.1.36 \(\int \genfrac {}{}{}{}{\csc ^3(a+b x)}{c+d x} \, dx\) [36]
  3.1.37 \(\int \genfrac {}{}{}{}{\csc ^3(a+b x)}{(c+d x)^2} \, dx\) [37]
  3.1.38 \(\int (c+d x)^{5/2} \sin (a+b x) \, dx\) [38]
  3.1.39 \(\int (c+d x)^{3/2} \sin (a+b x) \, dx\) [39]
  3.1.40 \(\int \sqrt {c+d x} \sin (a+b x) \, dx\) [40]
  3.1.41 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{\sqrt {c+d x}} \, dx\) [41]
  3.1.42 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{(c+d x)^{3/2}} \, dx\) [42]
  3.1.43 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{(c+d x)^{5/2}} \, dx\) [43]
  3.1.44 \(\int \genfrac {}{}{}{}{\sin (a+b x)}{(c+d x)^{7/2}} \, dx\) [44]
  3.1.45 \(\int (c+d x)^{5/2} \sin ^2(a+b x) \, dx\) [45]
  3.1.46 \(\int (c+d x)^{3/2} \sin ^2(a+b x) \, dx\) [46]
  3.1.47 \(\int \sqrt {c+d x} \sin ^2(a+b x) \, dx\) [47]
  3.1.48 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{\sqrt {c+d x}} \, dx\) [48]
  3.1.49 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^{3/2}} \, dx\) [49]
  3.1.50 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^{5/2}} \, dx\) [50]
  3.1.51 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^{7/2}} \, dx\) [51]
  3.1.52 \(\int \genfrac {}{}{}{}{\sin ^2(a+b x)}{(c+d x)^{9/2}} \, dx\) [52]
  3.1.53 \(\int (c+d x)^{5/2} \sin ^3(a+b x) \, dx\) [53]
  3.1.54 \(\int (c+d x)^{3/2} \sin ^3(a+b x) \, dx\) [54]
  3.1.55 \(\int \sqrt {c+d x} \sin ^3(a+b x) \, dx\) [55]
  3.1.56 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{\sqrt {c+d x}} \, dx\) [56]
  3.1.57 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{(c+d x)^{3/2}} \, dx\) [57]
  3.1.58 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{(c+d x)^{5/2}} \, dx\) [58]
  3.1.59 \(\int \genfrac {}{}{}{}{\sin ^3(a+b x)}{(c+d x)^{7/2}} \, dx\) [59]
  3.1.60 \(\int (d x)^{3/2} \sin (f x) \, dx\) [60]
  3.1.61 \(\int \sqrt {d x} \sin (f x) \, dx\) [61]
  3.1.62 \(\int \genfrac {}{}{}{}{\sin (f x)}{\sqrt {d x}} \, dx\) [62]
  3.1.63 \(\int \genfrac {}{}{}{}{\sin (f x)}{(d x)^{3/2}} \, dx\) [63]
  3.1.64 \(\int \genfrac {}{}{}{}{\sin (f x)}{(d x)^{5/2}} \, dx\) [64]
  3.1.65 \(\int \sqrt {c+d x} \csc (a+b x) \, dx\) [65]
  3.1.66 \(\int \genfrac {}{}{}{}{\csc (a+b x)}{\sqrt {c+d x}} \, dx\) [66]
  3.1.67 \(\int (\genfrac {}{}{}{}{x}{\sin ^{\genfrac {}{}{}{}{3}{2}}(e+f x)}+x \sqrt {\sin (e+f x)}) \, dx\) [67]
  3.1.68 \(\int (\genfrac {}{}{}{}{x^2}{\sin ^{\genfrac {}{}{}{}{3}{2}}(e+f x)}+x^2 \sqrt {\sin (e+f x)}) \, dx\) [68]
  3.1.69 \(\int (\genfrac {}{}{}{}{x}{\sin ^{\genfrac {}{}{}{}{5}{2}}(e+f x)}-\genfrac {}{}{}{}{x}{3 \sqrt {\sin (e+f x)}}) \, dx\) [69]
  3.1.70 \(\int (\genfrac {}{}{}{}{x}{\sin ^{\genfrac {}{}{}{}{7}{2}}(e+f x)}+\genfrac {}{}{}{}{3}{5} x \sqrt {\sin (e+f x)}) \, dx\) [70]
  3.1.71 \(\int (c+d x)^m (b \sin (e+f x))^n \, dx\) [71]
  3.1.72 \(\int (c+d x)^m \sin ^3(a+b x) \, dx\) [72]
  3.1.73 \(\int (c+d x)^m \sin ^2(a+b x) \, dx\) [73]
  3.1.74 \(\int (c+d x)^m \sin (a+b x) \, dx\) [74]
  3.1.75 \(\int (c+d x)^m \csc (a+b x) \, dx\) [75]
  3.1.76 \(\int (c+d x)^m \csc ^2(a+b x) \, dx\) [76]
  3.1.77 \(\int x^{3+m} \sin (a+b x) \, dx\) [77]
  3.1.78 \(\int x^{2+m} \sin (a+b x) \, dx\) [78]
  3.1.79 \(\int x^{1+m} \sin (a+b x) \, dx\) [79]
  3.1.80 \(\int x^m \sin (a+b x) \, dx\) [80]
  3.1.81 \(\int x^{-1+m} \sin (a+b x) \, dx\) [81]
  3.1.82 \(\int x^{-2+m} \sin (a+b x) \, dx\) [82]
  3.1.83 \(\int x^{-3+m} \sin (a+b x) \, dx\) [83]
  3.1.84 \(\int x^{3+m} \sin ^2(a+b x) \, dx\) [84]
  3.1.85 \(\int x^{2+m} \sin ^2(a+b x) \, dx\) [85]
  3.1.86 \(\int x^{1+m} \sin ^2(a+b x) \, dx\) [86]
  3.1.87 \(\int x^m \sin ^2(a+b x) \, dx\) [87]
  3.1.88 \(\int x^{-1+m} \sin ^2(a+b x) \, dx\) [88]
  3.1.89 \(\int x^{-2+m} \sin ^2(a+b x) \, dx\) [89]
  3.1.90 \(\int x^{-3+m} \sin ^2(a+b x) \, dx\) [90]
  3.1.91 \(\int (\genfrac {}{}{}{}{x}{\csc ^{\genfrac {}{}{}{}{3}{2}}(e+f x)}-\genfrac {}{}{}{}{1}{3} x \sqrt {\csc (e+f x)}) \, dx\) [91]
  3.1.92 \(\int (\genfrac {}{}{}{}{x^2}{\csc ^{\genfrac {}{}{}{}{3}{2}}(e+f x)}-\genfrac {}{}{}{}{1}{3} x^2 \sqrt {\csc (e+f x)}) \, dx\) [92]
  3.1.93 \(\int (\genfrac {}{}{}{}{x}{\csc ^{\genfrac {}{}{}{}{5}{2}}(e+f x)}-\genfrac {}{}{}{}{3 x}{5 \sqrt {\csc (e+f x)}}) \, dx\) [93]
  3.1.94 \(\int (\genfrac {}{}{}{}{x}{\csc ^{\genfrac {}{}{}{}{7}{2}}(e+f x)}-\genfrac {}{}{}{}{5}{21} x \sqrt {\csc (e+f x)}) \, dx\) [94]
  3.1.95 \(\int (c+d x)^3 (a+a \sin (e+f x)) \, dx\) [95]
  3.1.96 \(\int (c+d x)^2 (a+a \sin (e+f x)) \, dx\) [96]
  3.1.97 \(\int (c+d x) (a+a \sin (e+f x)) \, dx\) [97]
  3.1.98 \(\int \genfrac {}{}{}{}{a+a \sin (e+f x)}{c+d x} \, dx\) [98]
  3.1.99 \(\int \genfrac {}{}{}{}{a+a \sin (e+f x)}{(c+d x)^2} \, dx\) [99]
  3.1.100 \(\int \genfrac {}{}{}{}{a+a \sin (e+f x)}{(c+d x)^3} \, dx\) [100]