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