3.1 Integrals 1 to 100

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