Chapter 3
Listing of integrals

 3.1 \(\int (a g+b g x)^3 (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.2 \(\int (a g+b g x)^2 (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.3 \(\int (a g+b g x) (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.4 \(\int (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.5 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{a g+b g x} \, dx\)
 3.6 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^2} \, dx\)
 3.7 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^3} \, dx\)
 3.8 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^4} \, dx\)
 3.9 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^5} \, dx\)
 3.10 \(\int (a g+b g x)^3 (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.11 \(\int (a g+b g x)^2 (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.12 \(\int (a g+b g x) (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.13 \(\int (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.14 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{a g+b g x} \, dx\)
 3.15 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^2} \, dx\)
 3.16 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^3} \, dx\)
 3.17 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^4} \, dx\)
 3.18 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^5} \, dx\)
 3.19 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^6} \, dx\)
 3.20 \(\int (a g+b g x)^3 (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.21 \(\int (a g+b g x)^2 (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.22 \(\int (a g+b g x) (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.23 \(\int (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x})) \, dx\)
 3.24 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{a g+b g x} \, dx\)
 3.25 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^2} \, dx\)
 3.26 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^3} \, dx\)
 3.27 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^4} \, dx\)
 3.28 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^5} \, dx\)
 3.29 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^6} \, dx\)
 3.30 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(a g+b g x)^7} \, dx\)
 3.31 \(\int \frac{(a g+b g x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{c i+d i x} \, dx\)
 3.32 \(\int \frac{(a g+b g x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{c i+d i x} \, dx\)
 3.33 \(\int \frac{(a g+b g x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{c i+d i x} \, dx\)
 3.34 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{c i+d i x} \, dx\)
 3.35 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x) (c i+d i x)} \, dx\)
 3.36 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^2 (c i+d i x)} \, dx\)
 3.37 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^3 (c i+d i x)} \, dx\)
 3.38 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^4 (c i+d i x)} \, dx\)
 3.39 \(\int \frac{(a g+b g x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(c i+d i x)^2} \, dx\)
 3.40 \(\int \frac{(a g+b g x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(c i+d i x)^2} \, dx\)
 3.41 \(\int \frac{(a g+b g x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{(c i+d i x)^2} \, dx\)
 3.42 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(c i+d i x)^2} \, dx\)
 3.43 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x) (c i+d i x)^2} \, dx\)
 3.44 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^2 (c i+d i x)^2} \, dx\)
 3.45 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^3 (c i+d i x)^2} \, dx\)
 3.46 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^4 (c i+d i x)^2} \, dx\)
 3.47 \(\int \frac{(a g+b g x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(c i+d i x)^3} \, dx\)
 3.48 \(\int \frac{(a g+b g x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))}{(c i+d i x)^3} \, dx\)
 3.49 \(\int \frac{(a g+b g x) (A+B \log (\frac{e (a+b x)}{c+d x}))}{(c i+d i x)^3} \, dx\)
 3.50 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(c i+d i x)^3} \, dx\)
 3.51 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x) (c i+d i x)^3} \, dx\)
 3.52 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^2 (c i+d i x)^3} \, dx\)
 3.53 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^3 (c i+d i x)^3} \, dx\)
 3.54 \(\int \frac{A+B \log (\frac{e (a+b x)}{c+d x})}{(a g+b g x)^4 (c i+d i x)^3} \, dx\)
 3.55 \(\int (a g+b g x)^3 (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.56 \(\int (a g+b g x)^2 (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.57 \(\int (a g+b g x) (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.58 \(\int (c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.59 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{a g+b g x} \, dx\)
 3.60 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^2} \, dx\)
 3.61 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^3} \, dx\)
 3.62 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^4} \, dx\)
 3.63 \(\int \frac{(c i+d i x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^5} \, dx\)
 3.64 \(\int (a g+b g x)^3 (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.65 \(\int (a g+b g x)^2 (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.66 \(\int (a g+b g x) (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.67 \(\int (c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.68 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{a g+b g x} \, dx\)
 3.69 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^2} \, dx\)
 3.70 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^3} \, dx\)
 3.71 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^4} \, dx\)
 3.72 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^5} \, dx\)
 3.73 \(\int \frac{(c i+d i x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^6} \, dx\)
 3.74 \(\int (a g+b g x)^3 (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.75 \(\int (a g+b g x)^2 (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.76 \(\int (a g+b g x) (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.77 \(\int (c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2 \, dx\)
 3.78 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{a g+b g x} \, dx\)
 3.79 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^2} \, dx\)
 3.80 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^3} \, dx\)
 3.81 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^5} \, dx\)
 3.82 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^6} \, dx\)
 3.83 \(\int \frac{(c i+d i x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^7} \, dx\)
 3.84 \(\int \frac{(a g+b g x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{c i+d i x} \, dx\)
 3.85 \(\int \frac{(a g+b g x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{c i+d i x} \, dx\)
 3.86 \(\int \frac{(a g+b g x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{c i+d i x} \, dx\)
 3.87 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{c i+d i x} \, dx\)
 3.88 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x) (c i+d i x)} \, dx\)
 3.89 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^2 (c i+d i x)} \, dx\)
 3.90 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^3 (c i+d i x)} \, dx\)
 3.91 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^4 (c i+d i x)} \, dx\)
 3.92 \(\int \frac{(a g+b g x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^2} \, dx\)
 3.93 \(\int \frac{(a g+b g x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^2} \, dx\)
 3.94 \(\int \frac{(a g+b g x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^2} \, dx\)
 3.95 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^2} \, dx\)
 3.96 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x) (c i+d i x)^2} \, dx\)
 3.97 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^2 (c i+d i x)^2} \, dx\)
 3.98 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^3 (c i+d i x)^2} \, dx\)
 3.99 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^4 (c i+d i x)^2} \, dx\)
 3.100 \(\int \frac{(a g+b g x)^3 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^3} \, dx\)
 3.101 \(\int \frac{(a g+b g x)^2 (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^3} \, dx\)
 3.102 \(\int \frac{(a g+b g x) (A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^3} \, dx\)
 3.103 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(c i+d i x)^3} \, dx\)
 3.104 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x) (c i+d i x)^3} \, dx\)
 3.105 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^2 (c i+d i x)^3} \, dx\)
 3.106 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^3 (c i+d i x)^3} \, dx\)
 3.107 \(\int \frac{(A+B \log (\frac{e (a+b x)}{c+d x}))^2}{(a g+b g x)^4 (c i+d i x)^3} \, dx\)
 3.108 \(\int (a g+b g x)^3 (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.109 \(\int (a g+b g x)^2 (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.110 \(\int (a g+b g x) (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.111 \(\int (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.112 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{a g+b g x} \, dx\)
 3.113 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^2} \, dx\)
 3.114 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^3} \, dx\)
 3.115 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^4} \, dx\)
 3.116 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^5} \, dx\)
 3.117 \(\int (a g+b g x)^3 (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.118 \(\int (a g+b g x)^2 (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.119 \(\int (a g+b g x) (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.120 \(\int (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.121 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{a g+b g x} \, dx\)
 3.122 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^2} \, dx\)
 3.123 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^3} \, dx\)
 3.124 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^4} \, dx\)
 3.125 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^5} \, dx\)
 3.126 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^6} \, dx\)
 3.127 \(\int (a g+b g x)^3 (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.128 \(\int (a g+b g x)^2 (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.129 \(\int (a g+b g x) (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.130 \(\int (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.131 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{a g+b g x} \, dx\)
 3.132 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^2} \, dx\)
 3.133 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^3} \, dx\)
 3.134 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(a g+b g x)^4} \, dx\)
 3.135 \(\int \frac{(a g+b g x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{c i+d i x} \, dx\)
 3.136 \(\int \frac{(a g+b g x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{c i+d i x} \, dx\)
 3.137 \(\int \frac{(a g+b g x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{c i+d i x} \, dx\)
 3.138 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{c i+d i x} \, dx\)
 3.139 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x) (c i+d i x)} \, dx\)
 3.140 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^2 (c i+d i x)} \, dx\)
 3.141 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^3 (c i+d i x)} \, dx\)
 3.142 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^4 (c i+d i x)} \, dx\)
 3.143 \(\int \frac{(a g+b g x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(c i+d i x)^2} \, dx\)
 3.144 \(\int \frac{(a g+b g x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(c i+d i x)^2} \, dx\)
 3.145 \(\int \frac{(a g+b g x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(c i+d i x)^2} \, dx\)
 3.146 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(c i+d i x)^2} \, dx\)
 3.147 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x) (c i+d i x)^2} \, dx\)
 3.148 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^2 (c i+d i x)^2} \, dx\)
 3.149 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^3 (c i+d i x)^2} \, dx\)
 3.150 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^4 (c i+d i x)^2} \, dx\)
 3.151 \(\int \frac{(a g+b g x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(c i+d i x)^3} \, dx\)
 3.152 \(\int \frac{(a g+b g x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(c i+d i x)^3} \, dx\)
 3.153 \(\int \frac{(a g+b g x) (A+B \log (e (\frac{a+b x}{c+d x})^n))}{(c i+d i x)^3} \, dx\)
 3.154 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(c i+d i x)^3} \, dx\)
 3.155 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x) (c i+d i x)^3} \, dx\)
 3.156 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^2 (c i+d i x)^3} \, dx\)
 3.157 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^3 (c i+d i x)^3} \, dx\)
 3.158 \(\int \frac{A+B \log (e (\frac{a+b x}{c+d x})^n)}{(a g+b g x)^4 (c i+d i x)^3} \, dx\)
 3.159 \(\int (a g+b g x)^3 (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.160 \(\int (a g+b g x)^2 (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.161 \(\int (a g+b g x) (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.162 \(\int (c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.163 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{a g+b g x} \, dx\)
 3.164 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^2} \, dx\)
 3.165 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^3} \, dx\)
 3.166 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^4} \, dx\)
 3.167 \(\int \frac{(c i+d i x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^5} \, dx\)
 3.168 \(\int (a g+b g x)^3 (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.169 \(\int (a g+b g x)^2 (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.170 \(\int (a g+b g x) (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.171 \(\int (c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.172 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{a g+b g x} \, dx\)
 3.173 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^2} \, dx\)
 3.174 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^3} \, dx\)
 3.175 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^4} \, dx\)
 3.176 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^5} \, dx\)
 3.177 \(\int \frac{(c i+d i x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^6} \, dx\)
 3.178 \(\int (a g+b g x)^3 (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.179 \(\int (a g+b g x)^2 (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.180 \(\int (a g+b g x) (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.181 \(\int (c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.182 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{a g+b g x} \, dx\)
 3.183 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^2} \, dx\)
 3.184 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^3} \, dx\)
 3.185 \(\int \frac{(c i+d i x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^4} \, dx\)
 3.186 \(\int \frac{(a g+b g x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{c i+d i x} \, dx\)
 3.187 \(\int \frac{(a g+b g x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{c i+d i x} \, dx\)
 3.188 \(\int \frac{(a g+b g x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{c i+d i x} \, dx\)
 3.189 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{c i+d i x} \, dx\)
 3.190 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x) (c i+d i x)} \, dx\)
 3.191 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^2 (c i+d i x)} \, dx\)
 3.192 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^3 (c i+d i x)} \, dx\)
 3.193 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^4 (c i+d i x)} \, dx\)
 3.194 \(\int \frac{(a g+b g x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^2} \, dx\)
 3.195 \(\int \frac{(a g+b g x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^2} \, dx\)
 3.196 \(\int \frac{(a g+b g x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^2} \, dx\)
 3.197 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^2} \, dx\)
 3.198 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x) (c i+d i x)^2} \, dx\)
 3.199 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^2 (c i+d i x)^2} \, dx\)
 3.200 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^3 (c i+d i x)^2} \, dx\)
 3.201 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^4 (c i+d i x)^2} \, dx\)
 3.202 \(\int \frac{(a g+b g x)^3 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\)
 3.203 \(\int \frac{(a g+b g x)^2 (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\)
 3.204 \(\int \frac{(a g+b g x) (A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\)
 3.205 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\)
 3.206 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x) (c i+d i x)^3} \, dx\)
 3.207 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^2 (c i+d i x)^3} \, dx\)
 3.208 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^3 (c i+d i x)^3} \, dx\)
 3.209 \(\int \frac{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2}{(a g+b g x)^4 (c i+d i x)^3} \, dx\)
 3.210 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\frac{a+b x}{c+d x})^n))^p \, dx\)
 3.211 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\frac{a+b x}{c+d x})^n))^p \, dx\)
 3.212 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\frac{a+b x}{c+d x})^n))^3 \, dx\)
 3.213 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.214 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.215 \(\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{A+B \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.216 \(\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2} \, dx\)
 3.217 \(\int \frac{(a g+b g x)^m (c i+d i x)^{-2-m}}{(A+B \log (e (\frac{a+b x}{c+d x})^n))^3} \, dx\)
 3.218 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\frac{a+b x}{c+d x})^n))^3 \, dx\)
 3.219 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\frac{a+b x}{c+d x})^n))^2 \, dx\)
 3.220 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\frac{a+b x}{c+d x})^n)) \, dx\)
 3.221 \(\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{A+B \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.222 \(\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{(A+B \log (e (\frac{a+b x}{c+d x})^n))^2} \, dx\)
 3.223 \(\int \frac{(a g+b g x)^{-2-m} (c i+d i x)^m}{(A+B \log (e (\frac{a+b x}{c+d x})^n))^3} \, dx\)
 3.224 \(\int \frac{\log ^p(e (\frac{a+b x}{c+d x})^n)}{(a+b x) (c+d x)} \, dx\)
 3.225 \(\int \frac{\log ^p(e (\frac{a+b x}{c+d x})^n)}{a c+(b c+a d) x+b d x^2} \, dx\)
 3.226 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (a+b x)^n (c+d x)^{-n}))^p \, dx\)
 3.227 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (a+b x)^n (c+d x)^{-n}))^p \, dx\)
 3.228 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^3}{(a+b x) (c+d x)} \, dx\)
 3.229 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^2}{(a+b x) (c+d x)} \, dx\)
 3.230 \(\int \frac{A+B \log (e (a+b x)^n (c+d x)^{-n})}{(a+b x) (c+d x)} \, dx\)
 3.231 \(\int \frac{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\)
 3.232 \(\int \frac{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^2} \, dx\)
 3.233 \(\int \frac{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^3} \, dx\)
 3.234 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^p}{(a+b x) (c+d x)} \, dx\)
 3.235 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^p}{(a f+b f x) (c g+d g x)} \, dx\)
 3.236 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^p}{a c f+(b c+a d) f x+b d f x^2} \, dx\)
 3.237 \(\int \frac{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\)
 3.238 \(\int \frac{1}{(a f+b f x) (c g+d g x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\)
 3.239 \(\int \frac{1}{(a c f+(b c+a d) f x+b d f x^2) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\)
 3.240 \(\int \frac{(a+b x)^m (c+d x)^{-2-m}}{\log (e (a+b x)^n (c+d x)^{-n})} \, dx\)
 3.241 \(\int \frac{(a+b x)^3}{(c+d x)^5 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.242 \(\int \frac{(a+b x)^2}{(c+d x)^4 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.243 \(\int \frac{a+b x}{(c+d x)^3 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.244 \(\int \frac{1}{(c+d x)^2 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.245 \(\int \frac{1}{(a+b x) (c+d x) \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.246 \(\int \frac{1}{(a+b x)^2 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.247 \(\int \frac{c+d x}{(a+b x)^3 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.248 \(\int \frac{(c+d x)^2}{(a+b x)^4 \log (e (\frac{a+b x}{c+d x})^n)} \, dx\)
 3.249 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^4}{(f+g x) (a h+b h x)} \, dx\)
 3.250 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^3}{(f+g x) (a h+b h x)} \, dx\)
 3.251 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^2}{(f+g x) (a h+b h x)} \, dx\)
 3.252 \(\int \frac{A+B \log (e (a+b x)^n (c+d x)^{-n})}{(f+g x) (a h+b h x)} \, dx\)
 3.253 \(\int \frac{1}{(f+g x) (a h+b h x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\)
 3.254 \(\int \frac{1}{(f+g x) (a h+b h x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^2} \, dx\)
 3.255 \(\int \frac{\log (\frac{c+d x}{a+b x})}{(a+b x) ((a-c) h+(b-d) h x)} \, dx\)
 3.256 \(\int \frac{\log (\frac{a-c g+(b-d g) x}{a+b x})}{(a+b x) (c+d x)} \, dx\)
 3.257 \(\int \frac{\log (1-\frac{g (c+d x)}{a+b x})}{(a+b x) (c+d x)} \, dx\)
 3.258 \(\int \frac{\log (\frac{a-c g+b x-d g x}{a+b x})}{(a+b x) (c+d x)} \, dx\)
 3.259 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^3}{a f h+b g h x^2+h (b f x+a g x)} \, dx\)
 3.260 \(\int \frac{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^2}{a f h+b g h x^2+h (b f x+a g x)} \, dx\)
 3.261 \(\int \frac{A+B \log (e (a+b x)^n (c+d x)^{-n})}{a f h+b g h x^2+h (b f x+a g x)} \, dx\)
 3.262 \(\int \frac{1}{(a f h+b g h x^2+h (b f x+a g x)) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\)
 3.263 \(\int \frac{1}{(a f h+b g h x^2+h (b f x+a g x)) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^2} \, dx\)