3.3.1 \(\int \genfrac {}{}{}{}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(a g+b g x)^4 (c i+d i x)^2} \, dx\) [201]
3.3.2 \(\int \genfrac {}{}{}{}{(a g+b g x)^3 (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\) [202]
3.3.3 \(\int \genfrac {}{}{}{}{(a g+b g x)^2 (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\) [203]
3.3.4 \(\int \genfrac {}{}{}{}{(a g+b g x) (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\) [204]
3.3.5 \(\int \genfrac {}{}{}{}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(c i+d i x)^3} \, dx\) [205]
3.3.6 \(\int \genfrac {}{}{}{}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(a g+b g x) (c i+d i x)^3} \, dx\) [206]
3.3.7 \(\int \genfrac {}{}{}{}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(a g+b g x)^2 (c i+d i x)^3} \, dx\) [207]
3.3.8 \(\int \genfrac {}{}{}{}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(a g+b g x)^3 (c i+d i x)^3} \, dx\) [208]
3.3.9 \(\int \genfrac {}{}{}{}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2}{(a g+b g x)^4 (c i+d i x)^3} \, dx\) [209]
3.3.10 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^p \, dx\) [210]
3.3.11 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^p \, dx\) [211]
3.3.12 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^3 \, dx\) [212]
3.3.13 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2 \, dx\) [213]
3.3.14 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)) \, dx\) [214]
3.3.15 \(\int \genfrac {}{}{}{}{(a g+b g x)^m (c i+d i x)^{-2-m}}{A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [215]
3.3.16 \(\int \genfrac {}{}{}{}{(a g+b g x)^m (c i+d i x)^{-2-m}}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2} \, dx\) [216]
3.3.17 \(\int \genfrac {}{}{}{}{(a g+b g x)^m (c i+d i x)^{-2-m}}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^3} \, dx\) [217]
3.3.18 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^3 \, dx\) [218]
3.3.19 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2 \, dx\) [219]
3.3.20 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)) \, dx\) [220]
3.3.21 \(\int \genfrac {}{}{}{}{(a g+b g x)^{-2-m} (c i+d i x)^m}{A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [221]
3.3.22 \(\int \genfrac {}{}{}{}{(a g+b g x)^{-2-m} (c i+d i x)^m}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^2} \, dx\) [222]
3.3.23 \(\int \genfrac {}{}{}{}{(a g+b g x)^{-2-m} (c i+d i x)^m}{(A+B \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n))^3} \, dx\) [223]
3.3.24 \(\int \genfrac {}{}{}{}{\log ^p(e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)}{(a+b x) (c+d x)} \, dx\) [224]
3.3.25 \(\int \genfrac {}{}{}{}{\log ^p(e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)}{a c+(b c+a d) x+b d x^2} \, dx\) [225]
3.3.26 \(\int (a g+b g x)^m (c i+d i x)^{-2-m} (A+B \log (e (a+b x)^n (c+d x)^{-n}))^p \, dx\) [226]
3.3.27 \(\int (a g+b g x)^{-2-m} (c i+d i x)^m (A+B \log (e (a+b x)^n (c+d x)^{-n}))^p \, dx\) [227]
3.3.28 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^3}{(a+b x) (c+d x)} \, dx\) [228]
3.3.29 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^2}{(a+b x) (c+d x)} \, dx\) [229]
3.3.30 \(\int \genfrac {}{}{}{}{A+B \log (e (a+b x)^n (c+d x)^{-n})}{(a+b x) (c+d x)} \, dx\) [230]
3.3.31 \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\) [231]
3.3.32 \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^2} \, dx\) [232]
3.3.33 \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^3} \, dx\) [233]
3.3.34 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^p}{(a+b x) (c+d x)} \, dx\) [234]
3.3.35 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^p}{(a f+b f x) (c g+d g x)} \, dx\) [235]
3.3.36 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^p}{a c f+(b c+a d) f x+b d f x^2} \, dx\) [236]
3.3.37 \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\) [237]
3.3.38 \(\int \genfrac {}{}{}{}{1}{(a f+b f x) (c g+d g x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\) [238]
3.3.39 \(\int \genfrac {}{}{}{}{1}{(a c f+(b c+a d) f x+b d f x^2) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\) [239]
3.3.40 \(\int \genfrac {}{}{}{}{(a+b x)^m (c+d x)^{-2-m}}{\log (e (a+b x)^n (c+d x)^{-n})} \, dx\) [240]
3.3.41 \(\int \genfrac {}{}{}{}{(a+b x)^3}{(c+d x)^5 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [241]
3.3.42 \(\int \genfrac {}{}{}{}{(a+b x)^2}{(c+d x)^4 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [242]
3.3.43 \(\int \genfrac {}{}{}{}{a+b x}{(c+d x)^3 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [243]
3.3.44 \(\int \genfrac {}{}{}{}{1}{(c+d x)^2 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [244]
3.3.45 \(\int \genfrac {}{}{}{}{1}{(a+b x) (c+d x) \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [245]
3.3.46 \(\int \genfrac {}{}{}{}{1}{(a+b x)^2 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [246]
3.3.47 \(\int \genfrac {}{}{}{}{c+d x}{(a+b x)^3 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [247]
3.3.48 \(\int \genfrac {}{}{}{}{(c+d x)^2}{(a+b x)^4 \log (e (\genfrac {}{}{}{}{a+b x}{c+d x})^n)} \, dx\) [248]
3.3.49 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^4}{(f+g x) (a h+b h x)} \, dx\) [249]
3.3.50 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^3}{(f+g x) (a h+b h x)} \, dx\) [250]
3.3.51 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^2}{(f+g x) (a h+b h x)} \, dx\) [251]
3.3.52 \(\int \genfrac {}{}{}{}{A+B \log (e (a+b x)^n (c+d x)^{-n})}{(f+g x) (a h+b h x)} \, dx\) [252]
3.3.53 \(\int \genfrac {}{}{}{}{1}{(f+g x) (a h+b h x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\) [253]
3.3.54 \(\int \genfrac {}{}{}{}{1}{(f+g x) (a h+b h x) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^2} \, dx\) [254]
3.3.55 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{c+d x}{a+b x})}{(a+b x) ((a-c) h+(b-d) h x)} \, dx\) [255]
3.3.56 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a-c g+(b-d g) x}{a+b x})}{(a+b x) (c+d x)} \, dx\) [256]
3.3.57 \(\int \genfrac {}{}{}{}{\log (1-\genfrac {}{}{}{}{g (c+d x)}{a+b x})}{(a+b x) (c+d x)} \, dx\) [257]
3.3.58 \(\int \genfrac {}{}{}{}{\log (\genfrac {}{}{}{}{a-c g+b x-d g x}{a+b x})}{(a+b x) (c+d x)} \, dx\) [258]
3.3.59 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^3}{a f h+b g h x^2+h (b f x+a g x)} \, dx\) [259]
3.3.60 \(\int \genfrac {}{}{}{}{(A+B \log (e (a+b x)^n (c+d x)^{-n}))^2}{a f h+b g h x^2+h (b f x+a g x)} \, dx\) [260]
3.3.61 \(\int \genfrac {}{}{}{}{A+B \log (e (a+b x)^n (c+d x)^{-n})}{a f h+b g h x^2+h (b f x+a g x)} \, dx\) [261]
3.3.62 \(\int \genfrac {}{}{}{}{1}{(a f h+b g h x^2+h (b f x+a g x)) (A+B \log (e (a+b x)^n (c+d x)^{-n}))} \, dx\) [262]
3.3.63 \(\int \genfrac {}{}{}{}{1}{(a f h+b g h x^2+h (b f x+a g x)) (A+B \log (e (a+b x)^n (c+d x)^{-n}))^2} \, dx\) [263]