3.1 Integrals 1 to 100

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