3.1 \(\int (f+\frac{g}{x})^3 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.2 \(\int (f+\frac{g}{x})^2 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.3 \(\int (f+\frac{g}{x}) (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.4 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{f+\frac{g}{x}} \, dx\)
 3.5 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(f+\frac{g}{x})^2} \, dx\)
 3.6 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(f+\frac{g}{x})^3} \, dx\)
 3.7 \(\int (a+b x)^4 \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.8 \(\int (a+b x)^3 \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.9 \(\int (a+b x)^2 \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.10 \(\int (a+b x) \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.11 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{a+b x} \, dx\)
 3.12 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^2} \, dx\)
 3.13 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^3} \, dx\)
 3.14 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^4} \, dx\)
 3.15 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^5} \, dx\)
 3.16 \(\int (a+b x)^4 \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.17 \(\int (a+b x)^3 \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.18 \(\int (a+b x)^2 \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.19 \(\int (a+b x) \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.20 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{a+b x} \, dx\)
 3.21 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^2} \, dx\)
 3.22 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^3} \, dx\)
 3.23 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^4} \, dx\)
 3.24 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(a+b x)^5} \, dx\)
 3.25 \(\int (g+h x)^4 \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.26 \(\int (g+h x)^3 \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.27 \(\int (g+h x)^2 \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.28 \(\int (g+h x) \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.29 \(\int \log (e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.30 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{g+h x} \, dx\)
 3.31 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^2} \, dx\)
 3.32 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^3} \, dx\)
 3.33 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^4} \, dx\)
 3.34 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^5} \, dx\)
 3.35 \(\int (g+h x)^3 \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.36 \(\int (g+h x)^2 \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.37 \(\int (g+h x) \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.38 \(\int \log ^2(e (f (a+b x)^p (c+d x)^q)^r) \, dx\)
 3.39 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{g+h x} \, dx\)
 3.40 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^2} \, dx\)
 3.41 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^3} \, dx\)
 3.42 \(\int \frac{\log ^2(e (f (a+b x)^p (c+d x)^q)^r)}{(g+h x)^4} \, dx\)
 3.43 \(\int \frac{(a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^n}{1-c^2 x^2} \, dx\)
 3.44 \(\int \frac{(a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^3}{1-c^2 x^2} \, dx\)
 3.45 \(\int \frac{(a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^2}{1-c^2 x^2} \, dx\)
 3.46 \(\int \frac{a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}})}{1-c^2 x^2} \, dx\)
 3.47 \(\int \frac{1}{(1-c^2 x^2) (a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))} \, dx\)
 3.48 \(\int \frac{1}{(1-c^2 x^2) (a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^2} \, dx\)
 3.49 \(\int \frac{1}{(1-c^2 x^2) (a+b \log (\frac{\sqrt{1-c x}}{\sqrt{1+c x}}))^3} \, dx\)
 3.50 \(\int \frac{\log (\frac{\sqrt{1-a x}}{\sqrt{1+a x}})}{1-a^2 x^2} \, dx\)
 3.51 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r) (s+t \log (i (g+h x)^n))^2}{g k+h k x} \, dx\)
 3.52 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r) (s+t \log (i (g+h x)^n))}{g k+h k x} \, dx\)
 3.53 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{g k+h k x} \, dx\)
 3.54 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(g k+h k x) (s+t \log (i (g+h x)^n))} \, dx\)
 3.55 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{(g k+h k x) (s+t \log (i (g+h x)^n))^2} \, dx\)
 3.56 \(\int \frac{\log ^3(i (j (h x)^t)^u) \log (e (f (a+b x)^p (c+d x)^q)^r)}{x} \, dx\)
 3.57 \(\int \frac{\log ^2(i (j (h x)^t)^u) \log (e (f (a+b x)^p (c+d x)^q)^r)}{x} \, dx\)
 3.58 \(\int \frac{\log (i (j (h x)^t)^u) \log (e (f (a+b x)^p (c+d x)^q)^r)}{x} \, dx\)
 3.59 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{x} \, dx\)
 3.60 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{x \log (i (j (h x)^t)^u)} \, dx\)
 3.61 \(\int \frac{\log (e (f (a+b x)^p (c+d x)^q)^r)}{x \log ^2(i (j (h x)^t)^u)} \, dx\)
 3.62 \(\int \frac{\log (x) \log ^3(\frac{a+b x}{(b c-a d) x})}{x} \, dx\)
 3.63 \(\int \frac{\log (x) \log ^2(\frac{a+b x}{(b c-a d) x})}{x} \, dx\)
 3.64 \(\int \frac{\log (x) \log (\frac{a+b x}{(b c-a d) x})}{x} \, dx\)
 3.65 \(\int \frac{\log (x)}{x \log (\frac{a+b x}{(b c-a d) x})} \, dx\)
 3.66 \(\int \frac{\log (x)}{x \log ^2(\frac{a+b x}{(b c-a d) x})} \, dx\)
 3.67 \(\int \frac{\log ^3(e (\frac{a+b x}{c+d x})^n) \log (h (f+g x)^m)}{(a+b x) (c+d x)} \, dx\)
 3.68 \(\int \frac{\log ^2(e (\frac{a+b x}{c+d x})^n) \log (h (f+g x)^m)}{(a+b x) (c+d x)} \, dx\)
 3.69 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n) \log (h (f+g x)^m)}{(a+b x) (c+d x)} \, dx\)
 3.70 \(\int \frac{\log (h (f+g x)^m)}{(a+b x) (c+d x) \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.71 \(\int \frac{\log (h (f+g x)^m)}{(a+b x) (c+d x) \log ^2(e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.72 \(\int \frac{\log (1-\frac{a+b x}{c+d x})}{(a+b x) (c+d x) \log ^2(\frac{a+b x}{c+d x})} \, dx\)
 3.73 \(\int \frac{\log (1-\frac{c+d x}{a+b x})}{(a+b x) (c+d x) \log ^2(\frac{a+b x}{c+d x})} \, dx\)
 3.74 \(\int (\frac{1}{(c+d x) (-a+c+(-b+d) x) \log (\frac{a+b x}{c+d x})}+\frac{\log (1-\frac{a+b x}{c+d x})}{(a+b x) (c+d x) \log ^2(\frac{a+b x}{c+d x})}) \, dx\)
 3.75 \(\int (-\frac{1}{(a+b x) (a-c+(b-d) x) \log (\frac{a+b x}{c+d x})}+\frac{\log (1-\frac{c+d x}{a+b x})}{(a+b x) (c+d x) \log ^2(\frac{a+b x}{c+d x})}) \, dx\)
 3.76 \(\int \frac{x^3 \log (e (\frac{a+b x}{c+d x})^n)}{f-g x^2} \, dx\)
 3.77 \(\int \frac{x^2 \log (e (\frac{a+b x}{c+d x})^n)}{f-g x^2} \, dx\)
 3.78 \(\int \frac{x \log (e (\frac{a+b x}{c+d x})^n)}{f-g x^2} \, dx\)
 3.79 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n)}{f-g x^2} \, dx\)
 3.80 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n)}{x (f-g x^2)} \, dx\)
 3.81 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n)}{x^2 (f-g x^2)} \, dx\)
 3.82 \(\int \frac{x^3 \log (e (\frac{a+b x}{c+d x})^n)}{f+g x+h x^2} \, dx\)
 3.83 \(\int \frac{x^2 \log (e (\frac{a+b x}{c+d x})^n)}{f+g x+h x^2} \, dx\)
 3.84 \(\int \frac{x \log (e (\frac{a+b x}{c+d x})^n)}{f+g x+h x^2} \, dx\)
 3.85 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n)}{f+g x+h x^2} \, dx\)
 3.86 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n)}{x (f+g x+h x^2)} \, dx\)
 3.87 \(\int \frac{\log (e (\frac{a+b x}{c+d x})^n)}{x^2 (f+g x+h x^2)} \, dx\)
 3.88 \(\int \frac{\log (\frac{c x}{a+b x})}{a+b x} \, dx\)
 3.89 \(\int \frac{\log ^2(\frac{c x}{a+b x})}{x (a+b x)} \, dx\)
 3.90 \(\int \frac{\log (\frac{a}{a+b x}) \log ^2(\frac{c x}{a+b x})}{x (a+b x)} \, dx\)
 3.91 \(\int \frac{\log (\frac{b c-a d}{b (c+d x)}) \log ^2(\frac{e (a+b x)}{c+d x})}{(c+d x) (a g+b g x)} \, dx\)
 3.92 \(\int \frac{\log ^2(e (\frac{a+b x}{c+d x})^n) \log (\frac{b c-a d}{b (c+d x)})}{(c+d x) (a g+b g x)} \, dx\)
 3.93 \(\int \log (\frac{c (b+a x)}{x}) \, dx\)
 3.94 \(\int \log ^2(\frac{c (b+a x)}{x}) \, dx\)
 3.95 \(\int \log ^3(\frac{c (b+a x)}{x}) \, dx\)
 3.96 \(\int \log (\frac{c (b+a x)^2}{x^2}) \, dx\)
 3.97 \(\int \log ^2(\frac{c (b+a x)^2}{x^2}) \, dx\)
 3.98 \(\int \log ^3(\frac{c (b+a x)^2}{x^2}) \, dx\)
 3.99 \(\int \log (\frac{c x^2}{(b+a x)^2}) \, dx\)
 3.100 \(\int \log ^2(\frac{c x^2}{(b+a x)^2}) \, dx\)
 3.101 \(\int \log ^3(\frac{c x^2}{(b+a x)^2}) \, dx\)
 3.102 \(\int \frac{\text{PolyLog}(2,1+\frac{b c-a d}{d (a+b x)})}{(a+b x) (c+d x)} \, dx\)
 3.103 \(\int \frac{\log (\frac{-b c+a d}{d (a+b x)}) \log (\frac{e (c+d x)}{a+b x})}{(a+b x) (c+d x)} \, dx\)
 3.104 \(\int \frac{\log ^2(\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)})}{a+b x} \, dx\)
 3.105 \(\int \frac{\log (\frac{e (c+d x)}{a+b x}) \log (\frac{(-b c+a d) (e+f x)}{(d e-c f) (a+b x)})}{(a+b x) (c+d x)} \, dx\)
 3.106 \(\int \frac{\log ^2(\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)})}{(a+b x) (e+f x)} \, dx\)
 3.107 \(\int \frac{\log ^2(\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)})}{e+f x} \, dx\)
 3.108 \(\int \frac{\log (\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}) \log (\frac{b (e+f x)}{b e-a f})}{(a+b x) (c+d x)} \, dx\)