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