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Límite de la función x^x/(3+x)

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     /   x \
     |  x  |
 lim |-----|
x->oo\3 + x/
$$\lim_{x \to \infty}\left(\frac{x^{x}}{x + 3}\right)$$
Limit(x^x/(3 + x), x, oo, dir='-')
Método de l'Hopital
Tenemos la indeterminación de tipo
oo/oo,

tal que el límite para el numerador es
$$\lim_{x \to \infty} x^{x} = \infty$$
y el límite para el denominador es
$$\lim_{x \to \infty}\left(x + 3\right) = \infty$$
Vamos a probar las derivadas del numerador y denominador hasta eliminar la indeterminación.
$$\lim_{x \to \infty}\left(\frac{x^{x}}{x + 3}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{d}{d x} x^{x}}{\frac{d}{d x} \left(x + 3\right)}\right)$$
=
$$\lim_{x \to \infty}\left(x^{x} \left(\log{\left(x \right)} + 1\right)\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{d}{d x} x^{x}}{\frac{d}{d x} \frac{1}{\log{\left(x \right)} + 1}}\right)$$
=
$$\lim_{x \to \infty}\left(- x^{x + 1} \left(\log{\left(x \right)} + 1\right)^{3}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{d}{d x} \left(- x^{x + 1}\right)}{\frac{d}{d x} \frac{1}{\left(\log{\left(x \right)} + 1\right)^{3}}}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 1}{x}\right)}{3}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{d}{d x} \frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4}}{3}}{\frac{d}{d x} \frac{1}{\log{\left(x \right)} + \frac{x + 1}{x}}}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\left(\frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)}{3} + \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3}}{3 x}\right) \left(\log{\left(x \right)} + \frac{x + 1}{x}\right)^{2}}{- \frac{2}{x} + \frac{x + 1}{x^{2}}}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{d}{d x} \frac{\left(\log{\left(x \right)} + \frac{x + 1}{x}\right)^{2}}{- \frac{2}{x} + \frac{x + 1}{x^{2}}}}{\frac{d}{d x} \frac{1}{\frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)}{3} + \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3}}{3 x}}}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\left(\frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)}{3} + \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3}}{3 x}\right)^{2} \left(\frac{\left(- \frac{3}{x^{2}} + \frac{2 \left(x + 1\right)}{x^{3}}\right) \left(\log{\left(x \right)} + \frac{x + 1}{x}\right)^{2}}{\left(- \frac{2}{x} + \frac{x + 1}{x^{2}}\right)^{2}} + \frac{\left(\frac{4}{x} - \frac{2 \left(x + 1\right)}{x^{2}}\right) \left(\log{\left(x \right)} + \frac{x + 1}{x}\right)}{- \frac{2}{x} + \frac{x + 1}{x^{2}}}\right)}{- \frac{x^{x + 2} \left(\frac{2}{x} - \frac{x + 2}{x^{2}}\right) \left(\log{\left(x \right)} + 1\right)^{4}}{3} - \frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)^{2}}{3} - \frac{8 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)}{3 x} + \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3}}{3 x^{2}} - \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{2}}{x^{2}}}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{d}{d x} \left(\frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)}{3} + \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3}}{3 x}\right)^{2} \left(\frac{\left(- \frac{3}{x^{2}} + \frac{2 \left(x + 1\right)}{x^{3}}\right) \left(\log{\left(x \right)} + \frac{x + 1}{x}\right)^{2}}{\left(- \frac{2}{x} + \frac{x + 1}{x^{2}}\right)^{2}} + \frac{\left(\frac{4}{x} - \frac{2 \left(x + 1\right)}{x^{2}}\right) \left(\log{\left(x \right)} + \frac{x + 1}{x}\right)}{- \frac{2}{x} + \frac{x + 1}{x^{2}}}\right)}{\frac{d}{d x} \left(- \frac{x^{x + 2} \left(\frac{2}{x} - \frac{x + 2}{x^{2}}\right) \left(\log{\left(x \right)} + 1\right)^{4}}{3} - \frac{x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{4} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)^{2}}{3} - \frac{8 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3} \left(\log{\left(x \right)} + \frac{x + 2}{x}\right)}{3 x} + \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{3}}{3 x^{2}} - \frac{4 x^{x + 2} \left(\log{\left(x \right)} + 1\right)^{2}}{x^{2}}\right)}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{8 x^{4} x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{80 x^{4} x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{784 x^{4} x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{1120 x^{4} x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{560 x^{4} x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{176 x^{4} x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{112 x^{4} x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} + \frac{8 x^{4} x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{112 x^{4} x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{4 x^{4} x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{32 x^{4} x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{104 x^{4} x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{112 x^{4} x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} - \frac{136 x^{4} x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} - \frac{52 x^{4} x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{8 x^{4} x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} - \frac{2 x^{4} x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{2 x^{4} x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2 x^{4} x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{8 x^{4} x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{28 x^{4} x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{28 x^{4} x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{8 x^{4} x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{2 x^{4} x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} + \frac{48 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{480 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{4704 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{6720 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{3360 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{1056 x^{3} x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{672 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} + \frac{48 x^{3} x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{672 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{24 x^{3} x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{192 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{624 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{672 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} - \frac{816 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} - \frac{312 x^{3} x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{48 x^{3} x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} - \frac{12 x^{3} x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{12 x^{3} x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{12 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{48 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{168 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{168 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{48 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{12 x^{3} x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} + \frac{4 x^{3} x^{2 x} \log{\left(x \right)}^{12}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{16 x^{3} x^{2 x} \log{\left(x \right)}^{11}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{88 x^{3} x^{2 x} \log{\left(x \right)}^{10}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{880 x^{3} x^{2 x} \log{\left(x \right)}^{9}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{220 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{352 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{1232 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{352 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{220 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{880 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{88 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{16 x^{3} x^{2 x} \log{\left(x \right)}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{4 x^{3} x^{2 x}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{128 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1024 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{768 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{6400 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{7040 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1920 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1664 x^{2} x^{2 x} \log{\left(x \right)}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{256 x^{2} x^{2 x}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{128 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} - \frac{128 x^{2} x^{2 x} \log{\left(x \right)}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{64 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{768 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{128 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{1920 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{3456 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{2816 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{768 x^{2} x^{2 x} \log{\left(x \right)}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{192 x^{2} x^{2 x}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{32 x^{2} x^{2 x} \log{\left(x \right)}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} - \frac{160 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{80 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{296 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{960 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{144 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{704 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2160 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{864 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{280 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{272 x^{2} x^{2 x} \log{\left(x \right)}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{8 x^{2} x^{2 x}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{20 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{240 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{504 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{240 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{20 x^{2} x^{2 x} \log{\left(x \right)}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{2 x^{2} x^{2 x}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{80 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{344 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{832 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{1232 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{560 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{64 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{88 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{48 x^{2} x^{2 x} \log{\left(x \right)}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{8 x^{2} x^{2 x}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{88 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{880 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{10544 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{17600 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{12400 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{4624 x^{2} x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{1296 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} - \frac{192 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{3 x^{2} - 6 x + 3} - \frac{480 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{3 x^{2} - 6 x + 3} + \frac{1248 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{3 x^{2} - 6 x + 3} - \frac{480 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{3 x^{2} - 6 x + 3} - \frac{192 x^{2} x^{2 x} \log{\left(x \right)}}{3 x^{2} - 6 x + 3} + \frac{72 x^{2} x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{1456 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{48 x^{2} x^{2 x}}{x^{2} - 2 x + 1} + \frac{68 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{904 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{3240 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{1600 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{9 x - 18 + \frac{9}{x}} + \frac{14912 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} + \frac{12456 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} + \frac{1760 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 x - 18 + \frac{9}{x}} + \frac{2632 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} + \frac{180 x^{2} x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{72 x^{2} x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{3 x - 6 + \frac{3}{x}} + \frac{224 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 x - 6 + \frac{3}{x}} + \frac{728 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{728 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} + \frac{16 x^{2} x^{2 x} \log{\left(x \right)}}{3 x - 6 + \frac{3}{x}} + \frac{8 x^{2} x^{2 x}}{3 x - 6 + \frac{3}{x}} + \frac{656 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{x - 2 + \frac{1}{x}} + \frac{224 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{x - 2 + \frac{1}{x}} + \frac{992 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{x - 2 + \frac{1}{x}} + \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{11}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{34 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{20 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{248 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{520 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{3836 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{3800 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{240 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{890 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{2 x^{2} x^{2 x}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{70 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{62 x^{2} x^{2 x} \log{\left(x \right)}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{4 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{288 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{2 x^{2} x^{2 x}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{2 x^{2} x^{2 x} \log{\left(x \right)}^{13}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{26 x^{2} x^{2 x} \log{\left(x \right)}^{12}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{52 x^{2} x^{2 x} \log{\left(x \right)}^{11}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{572 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{476 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{284 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{1088 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{258 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}} - \frac{1178 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{404 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{28 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{8 x^{2} x^{2 x} \log{\left(x \right)}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{16 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{134 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{1932 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{1792 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7504 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{6720 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{2240 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{688 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{1368 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{32 x^{2} x^{2 x} \log{\left(x \right)}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{126 x^{2} x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{6 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{68 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{800 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{1148 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{504 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{968 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{20 x^{2} x^{2 x} \log{\left(x \right)}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2 x^{2} x^{2 x}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{26 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{104 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{364 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{308 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{104 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{98 x^{2} x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{4 x^{2} x^{2 x} \log{\left(x \right)}^{12}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{22 x^{2} x^{2 x} \log{\left(x \right)}^{11}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{76 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{1090 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{1580 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{3964 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{2184 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{7484 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{5980 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{9890 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{3596 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{778 x^{2} x^{2 x} \log{\left(x \right)}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{76 x^{2} x^{2 x}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 - 9 x} - \frac{80 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 - 9 x} - \frac{784 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 - 9 x} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 - 9 x} - \frac{560 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 - 9 x} - \frac{176 x^{2} x^{2 x} \log{\left(x \right)}}{9 - 9 x} - \frac{112 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 - 3 x} - \frac{8 x^{2} x^{2 x}}{3 - 3 x} - \frac{112 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{1 - x} - \frac{168 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{-1 + \frac{1}{x}} - \frac{4 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{3}{x}} - \frac{160 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{3}{x}} - \frac{20 x^{2} x^{2 x} \log{\left(x \right)}}{-3 + \frac{3}{x}} - \frac{116 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{9}{x}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{9}{x}} - \frac{1624 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{9}{x}} - \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{9}{x}} - \frac{320 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{9}{x}} - \frac{4 x^{2} x^{2 x}}{-9 + \frac{9}{x}} + \frac{1792 x x^{2 x} \log{\left(x \right)}^{5}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{1792 x x^{2 x} \log{\left(x \right)}^{2}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{256 x x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{2048 x x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1536 x x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{12800 x x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{14080 x x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{3840 x x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{3328 x x^{2 x} \log{\left(x \right)}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{512 x x^{2 x}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{256 x x^{2 x} \log{\left(x \right)}^{7}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} - \frac{256 x x^{2 x} \log{\left(x \right)}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{128 x x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{1536 x x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{256 x x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{3840 x x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{6912 x x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{5632 x x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{1536 x x^{2 x} \log{\left(x \right)}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{384 x x^{2 x}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{64 x x^{2 x} \log{\left(x \right)}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} - \frac{320 x x^{2 x} \log{\left(x \right)}^{7}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{2240 x x^{2 x} \log{\left(x \right)}^{4}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{16 x x^{2 x} \log{\left(x \right)}^{10}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{192 x x^{2 x} \log{\left(x \right)}^{9}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{880 x x^{2 x} \log{\left(x \right)}^{8}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{3072 x x^{2 x} \log{\left(x \right)}^{7}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2976 x x^{2 x} \log{\left(x \right)}^{6}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2624 x x^{2 x} \log{\left(x \right)}^{5}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{8352 x x^{2 x} \log{\left(x \right)}^{4}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{960 x x^{2 x} \log{\left(x \right)}^{3}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{592 x x^{2 x} \log{\left(x \right)}^{2}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{832 x x^{2 x} \log{\left(x \right)}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{48 x x^{2 x}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{4 x x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{48 x x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{252 x x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{768 x x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1512 x x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{2016 x x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1848 x x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1152 x x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{468 x x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{112 x x^{2 x} \log{\left(x \right)}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{12 x x^{2 x}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{16 x x^{2 x} \log{\left(x \right)}^{10}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{192 x x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{976 x x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{2816 x x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{5152 x x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{6272 x x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{5152 x x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{2816 x x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{976 x x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{192 x x^{2 x} \log{\left(x \right)}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{16 x x^{2 x}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{64 x x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{640 x x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{10112 x x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{19520 x x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{16960 x x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{6784 x x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{1024 x x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} - \frac{384 x x^{2 x} \log{\left(x \right)}^{5}}{3 x^{2} - 6 x + 3} - \frac{960 x x^{2 x} \log{\left(x \right)}^{4}}{3 x^{2} - 6 x + 3} + \frac{2496 x x^{2 x} \log{\left(x \right)}^{3}}{3 x^{2} - 6 x + 3} - \frac{960 x x^{2 x} \log{\left(x \right)}^{2}}{3 x^{2} - 6 x + 3} - \frac{384 x x^{2 x} \log{\left(x \right)}}{3 x^{2} - 6 x + 3} + \frac{32 x x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{1344 x x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{96 x x^{2 x}}{x^{2} - 2 x + 1} + \frac{112 x x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{1680 x x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{5024 x x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{6336 x x^{2 x} \log{\left(x \right)}^{6}}{9 x - 18 + \frac{9}{x}} + \frac{32736 x x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} + \frac{25696 x x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} + \frac{5760 x x^{2 x} \log{\left(x \right)}^{3}}{9 x - 18 + \frac{9}{x}} + \frac{7872 x x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} + \frac{1088 x x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{32 x x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{16 x x^{2 x} \log{\left(x \right)}^{9}}{3 x - 6 + \frac{3}{x}} + \frac{896 x x^{2 x} \log{\left(x \right)}^{7}}{3 x - 6 + \frac{3}{x}} + \frac{672 x x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{672 x x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} + \frac{64 x x^{2 x} \log{\left(x \right)}}{3 x - 6 + \frac{3}{x}} + \frac{16 x x^{2 x}}{3 x - 6 + \frac{3}{x}} + \frac{1312 x x^{2 x} \log{\left(x \right)}^{6}}{x - 2 + \frac{1}{x}} + \frac{896 x x^{2 x} \log{\left(x \right)}^{4}}{x - 2 + \frac{1}{x}} + \frac{1984 x x^{2 x} \log{\left(x \right)}^{3}}{x - 2 + \frac{1}{x}} + \frac{24 x x^{2 x} \log{\left(x \right)}^{11}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{68 x x^{2 x} \log{\left(x \right)}^{10}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{48 x x^{2 x} \log{\left(x \right)}^{9}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{1032 x x^{2 x} \log{\left(x \right)}^{8}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{528 x x^{2 x} \log{\left(x \right)}^{7}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{1512 x x^{2 x} \log{\left(x \right)}^{6}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{8232 x x^{2 x} \log{\left(x \right)}^{5}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{8208 x x^{2 x} \log{\left(x \right)}^{4}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{1152 x x^{2 x} \log{\left(x \right)}^{3}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{1788 x x^{2 x} \log{\left(x \right)}^{2}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{32 x x^{2 x} \log{\left(x \right)}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{12 x x^{2 x}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{228 x x^{2 x} \log{\left(x \right)}^{9}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{2016 x x^{2 x} \log{\left(x \right)}^{6}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{124 x x^{2 x} \log{\left(x \right)}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{16 x x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{680 x x^{2 x} \log{\left(x \right)}^{3}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{4 x x^{2 x}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{4 x x^{2 x} \log{\left(x \right)}^{13}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{38 x x^{2 x} \log{\left(x \right)}^{12}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{106 x x^{2 x} \log{\left(x \right)}^{11}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{20 x x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}} - \frac{2092 x x^{2 x} \log{\left(x \right)}^{9}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{6904 x x^{2 x} \log{\left(x \right)}^{8}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{13276 x x^{2 x} \log{\left(x \right)}^{7}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{5608 x x^{2 x} \log{\left(x \right)}^{6}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{14564 x x^{2 x} \log{\left(x \right)}^{5}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{8602 x x^{2 x} \log{\left(x \right)}^{4}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{3358 x x^{2 x} \log{\left(x \right)}^{3}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{268 x x^{2 x} \log{\left(x \right)}^{2}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{100 x x^{2 x} \log{\left(x \right)}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{4 x x^{2 x}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{64 x x^{2 x} \log{\left(x \right)}^{10}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{616 x x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{5272 x x^{2 x} \log{\left(x \right)}^{8}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7168 x x^{2 x} \log{\left(x \right)}^{7}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{20832 x x^{2 x} \log{\left(x \right)}^{6}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{19712 x x^{2 x} \log{\left(x \right)}^{5}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{8960 x x^{2 x} \log{\left(x \right)}^{4}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{672 x x^{2 x} \log{\left(x \right)}^{3}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{2192 x x^{2 x} \log{\left(x \right)}^{2}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{128 x x^{2 x} \log{\left(x \right)}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{224 x x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{12 x x^{2 x} \log{\left(x \right)}^{10}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{128 x x^{2 x} \log{\left(x \right)}^{9}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{252 x x^{2 x} \log{\left(x \right)}^{8}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{1312 x x^{2 x} \log{\left(x \right)}^{7}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2184 x x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2016 x x^{2 x} \log{\left(x \right)}^{5}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{1848 x x^{2 x} \log{\left(x \right)}^{4}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{1824 x x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{468 x x^{2 x} \log{\left(x \right)}^{2}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{112 x x^{2 x} \log{\left(x \right)}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{12 x x^{2 x}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{24 x x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{96 x x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{336 x x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{224 x x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{96 x x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{168 x x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{8 x x^{2 x} \log{\left(x \right)}^{11}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{266 x x^{2 x} \log{\left(x \right)}^{10}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{1100 x x^{2 x} \log{\left(x \right)}^{9}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{186 x x^{2 x} \log{\left(x \right)}^{8}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{2192 x x^{2 x} \log{\left(x \right)}^{7}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{14588 x x^{2 x} \log{\left(x \right)}^{6}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{10136 x x^{2 x} \log{\left(x \right)}^{5}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{36460 x x^{2 x} \log{\left(x \right)}^{4}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{27496 x x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{1438 x x^{2 x} \log{\left(x \right)}^{2}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{388 x x^{2 x} \log{\left(x \right)}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{46 x x^{2 x}}{- \frac{1}{x} + \frac{1}{x^{2}}} - \frac{32 x x^{2 x} \log{\left(x \right)}^{8}}{9 - 9 x} - \frac{320 x x^{2 x} \log{\left(x \right)}^{7}}{9 - 9 x} - \frac{3136 x x^{2 x} \log{\left(x \right)}^{5}}{9 - 9 x} - \frac{4480 x x^{2 x} \log{\left(x \right)}^{4}}{9 - 9 x} - \frac{2240 x x^{2 x} \log{\left(x \right)}^{2}}{9 - 9 x} - \frac{704 x x^{2 x} \log{\left(x \right)}}{9 - 9 x} - \frac{448 x x^{2 x} \log{\left(x \right)}^{6}}{3 - 3 x} - \frac{32 x x^{2 x}}{3 - 3 x} - \frac{448 x x^{2 x} \log{\left(x \right)}^{3}}{1 - x} - \frac{672 x x^{2 x} \log{\left(x \right)}^{4}}{-1 + \frac{1}{x}} - \frac{16 x x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{3}{x}} - \frac{640 x x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{3}{x}} - \frac{80 x x^{2 x} \log{\left(x \right)}}{-3 + \frac{3}{x}} - \frac{464 x x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{9}{x}} - \frac{4480 x x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{9}{x}} - \frac{6496 x x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{9}{x}} - \frac{3584 x x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{9}{x}} - \frac{1280 x x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{9}{x}} - \frac{16 x x^{2 x}}{-9 + \frac{9}{x}} + \frac{896 x^{2 x} \log{\left(x \right)}^{5}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{896 x^{2 x} \log{\left(x \right)}^{2}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{32 x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{384 x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1920 x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{2560 x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{8640 x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{8832 x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{2816 x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1920 x^{2 x} \log{\left(x \right)}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{288 x^{2 x}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{128 x^{2 x} \log{\left(x \right)}^{7}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{1792 x^{2 x} \log{\left(x \right)}^{6}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{1792 x^{2 x} \log{\left(x \right)}^{3}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} - \frac{128 x^{2 x} \log{\left(x \right)}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{96 x^{2 x} \log{\left(x \right)}^{9}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{1152 x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{5248 x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{9472 x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{23232 x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{22016 x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{6656 x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{3072 x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{352 x^{2 x} \log{\left(x \right)}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{128 x^{2 x}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{128 x^{2 x} \log{\left(x \right)}^{2}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} - \frac{32 x^{2 x} \log{\left(x \right)}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} + \frac{640 x^{2 x} \log{\left(x \right)}^{8}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{160 x^{2 x} \log{\left(x \right)}^{7}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{4480 x^{2 x} \log{\left(x \right)}^{5}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{1120 x^{2 x} \log{\left(x \right)}^{4}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{104 x^{2 x} \log{\left(x \right)}^{10}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{1200 x^{2 x} \log{\left(x \right)}^{9}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{3888 x^{2 x} \log{\left(x \right)}^{8}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{16128 x^{2 x} \log{\left(x \right)}^{7}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{26032 x^{2 x} \log{\left(x \right)}^{6}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{14400 x^{2 x} \log{\left(x \right)}^{5}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{22560 x^{2 x} \log{\left(x \right)}^{4}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{8288 x^{2 x} \log{\left(x \right)}^{3}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{936 x^{2 x} \log{\left(x \right)}^{2}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{560 x^{2 x} \log{\left(x \right)}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{16 x^{2 x}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{64 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{1}{x} + \frac{3}{x^{2}} - \frac{3}{x^{3}} + \frac{1}{x^{4}}} - \frac{16 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{144 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{576 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{1344 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{4480 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{2016 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{1344 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{1120 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{144 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{16 x^{2 x} \log{\left(x \right)}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} + \frac{8 x^{2 x} \log{\left(x \right)}^{12}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{48 x^{2 x} \log{\left(x \right)}^{11}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{18 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{76 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{2654 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{5136 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1956 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{2536 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{828 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{3488 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1066 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{276 x^{2 x} \log{\left(x \right)}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{26 x^{2 x}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{48 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{1}{x^{2}} + \frac{3}{x^{3}} - \frac{3}{x^{4}} + \frac{1}{x^{5}}} + \frac{336 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{1}{x^{2}} + \frac{3}{x^{3}} - \frac{3}{x^{4}} + \frac{1}{x^{5}}} + \frac{72 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{1}{x^{2}} + \frac{3}{x^{3}} - \frac{3}{x^{4}} + \frac{1}{x^{5}}} - \frac{4 x^{2 x} \log{\left(x \right)}^{11}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{40 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{180 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{64 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{56 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{1008 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} + \frac{56 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} + \frac{64 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{180 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{40 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{4 x^{2 x} \log{\left(x \right)}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{8 x^{2 x} \log{\left(x \right)}^{12}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{72 x^{2 x} \log{\left(x \right)}^{11}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{256 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{800 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{976 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{1232 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{2176 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{1880 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{944 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{416 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{48 x^{2 x} \log{\left(x \right)}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{2 x^{2 x} \log{\left(x \right)}^{12}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{8 x^{2 x} \log{\left(x \right)}^{11}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{130 x^{2 x} \log{\left(x \right)}^{10}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{140 x^{2 x} \log{\left(x \right)}^{9}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{100 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}} + \frac{448 x^{2 x} \log{\left(x \right)}^{7}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{476 x^{2 x} \log{\left(x \right)}^{6}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{120 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}} + \frac{190 x^{2 x} \log{\left(x \right)}^{4}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{200 x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{14 x^{2 x} \log{\left(x \right)}^{2}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{4 x^{2 x} \log{\left(x \right)}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} - \frac{448 x^{2 x} \log{\left(x \right)}^{6}}{-1 + \frac{3}{x} - \frac{3}{x^{2}} + \frac{1}{x^{3}}} + \frac{112 x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{128 x^{2 x} \log{\left(x \right)}^{8}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{512 x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{1280 x^{2 x} \log{\left(x \right)}^{6}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{2080 x^{2 x} \log{\left(x \right)}^{5}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{2176 x^{2 x} \log{\left(x \right)}^{4}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{2880 x^{2 x} \log{\left(x \right)}^{3}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{512 x^{2 x} \log{\left(x \right)}^{2}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{144 x^{2 x} \log{\left(x \right)}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} + \frac{48 x^{2 x} \log{\left(x \right)}^{11}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{472 x^{2 x} \log{\left(x \right)}^{10}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{1480 x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{3424 x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{1408 x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{2480 x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{14992 x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{16096 x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{5680 x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{3752 x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{568 x^{2 x} \log{\left(x \right)}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{64 x^{2 x}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{16 x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} - \frac{1920 x^{2 x} \log{\left(x \right)}^{6}}{9 x^{2} - 18 x + 9} + \frac{928 x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} - \frac{1120 x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} - \frac{8832 x^{2 x} \log{\left(x \right)}^{3}}{9 x^{2} - 18 x + 9} + \frac{4544 x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{1120 x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} - \frac{288 x^{2 x}}{9 x^{2} - 18 x + 9} - \frac{8 x^{2 x} \log{\left(x \right)}^{8}}{3 x^{2} - 6 x + 3} - \frac{64 x^{2 x} \log{\left(x \right)}^{7}}{3 x^{2} - 6 x + 3} + \frac{64 x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} - \frac{1536 x^{2 x} \log{\left(x \right)}^{5}}{3 x^{2} - 6 x + 3} - \frac{1040 x^{2 x} \log{\left(x \right)}^{4}}{3 x^{2} - 6 x + 3} + \frac{800 x^{2 x} \log{\left(x \right)}^{3}}{3 x^{2} - 6 x + 3} - \frac{1600 x^{2 x} \log{\left(x \right)}^{2}}{3 x^{2} - 6 x + 3} - \frac{256 x^{2 x} \log{\left(x \right)}}{3 x^{2} - 6 x + 3} - \frac{8 x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{448 x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{48 x^{2 x}}{x^{2} - 2 x + 1} - \frac{64 x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} - \frac{320 x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} - \frac{1216 x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} - \frac{5376 x^{2 x} \log{\left(x \right)}^{6}}{9 x - 18 + \frac{9}{x}} + \frac{7280 x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} + \frac{688 x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} + \frac{4224 x^{2 x} \log{\left(x \right)}^{3}}{9 x - 18 + \frac{9}{x}} + \frac{6160 x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} + \frac{536 x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} + \frac{56 x^{2 x}}{9 x - 18 + \frac{9}{x}} - \frac{88 x^{2 x} \log{\left(x \right)}^{8}}{3 x - 6 + \frac{3}{x}} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{3 x - 6 + \frac{3}{x}} - \frac{896 x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{1904 x^{2 x} \log{\left(x \right)}^{5}}{3 x - 6 + \frac{3}{x}} - \frac{2128 x^{2 x} \log{\left(x \right)}^{4}}{3 x - 6 + \frac{3}{x}} - \frac{1792 x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} - \frac{736 x^{2 x} \log{\left(x \right)}^{2}}{3 x - 6 + \frac{3}{x}} + \frac{88 x^{2 x} \log{\left(x \right)}}{3 x - 6 + \frac{3}{x}} - \frac{16 x^{2 x}}{3 x - 6 + \frac{3}{x}} + \frac{656 x^{2 x} \log{\left(x \right)}^{6}}{x - 2 + \frac{1}{x}} + \frac{1408 x^{2 x} \log{\left(x \right)}^{4}}{x - 2 + \frac{1}{x}} + \frac{992 x^{2 x} \log{\left(x \right)}^{3}}{x - 2 + \frac{1}{x}} + \frac{742 x^{2 x} \log{\left(x \right)}^{10}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{4272 x^{2 x} \log{\left(x \right)}^{9}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{14652 x^{2 x} \log{\left(x \right)}^{8}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{3280 x^{2 x} \log{\left(x \right)}^{7}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{47292 x^{2 x} \log{\left(x \right)}^{6}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{38988 x^{2 x} \log{\left(x \right)}^{5}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{2072 x^{2 x} \log{\left(x \right)}^{4}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{9948 x^{2 x} \log{\left(x \right)}^{3}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{174 x^{2 x} \log{\left(x \right)}^{2}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{96 x^{2 x} \log{\left(x \right)}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{18 x^{2 x}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{8 x^{2 x} \log{\left(x \right)}^{11}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{64 x^{2 x} \log{\left(x \right)}^{10}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{6 x^{2 x} \log{\left(x \right)}^{9}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{1232 x^{2 x} \log{\left(x \right)}^{6}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{7792 x^{2 x} \log{\left(x \right)}^{4}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{62 x^{2 x} \log{\left(x \right)}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{8 x^{2 x} \log{\left(x \right)}^{11}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{16 x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{3856 x^{2 x} \log{\left(x \right)}^{7}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{444 x^{2 x} \log{\left(x \right)}^{3}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{2 x^{2 x}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{26 x^{2 x} \log{\left(x \right)}^{12}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{106 x^{2 x} \log{\left(x \right)}^{11}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{1652 x^{2 x} \log{\left(x \right)}^{10}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{1556 x^{2 x} \log{\left(x \right)}^{9}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{7348 x^{2 x} \log{\left(x \right)}^{8}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{1564 x^{2 x} \log{\left(x \right)}^{7}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{4816 x^{2 x} \log{\left(x \right)}^{6}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{14128 x^{2 x} \log{\left(x \right)}^{5}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{5074 x^{2 x} \log{\left(x \right)}^{4}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{3094 x^{2 x} \log{\left(x \right)}^{3}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{3284 x^{2 x} \log{\left(x \right)}^{2}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{604 x^{2 x} \log{\left(x \right)}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{40 x^{2 x}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{8 x^{2 x} \log{\left(x \right)}^{10}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{80 x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{524 x^{2 x} \log{\left(x \right)}^{8}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{96 x^{2 x} \log{\left(x \right)}^{7}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7568 x^{2 x} \log{\left(x \right)}^{6}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{11248 x^{2 x} \log{\left(x \right)}^{5}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{10368 x^{2 x} \log{\left(x \right)}^{4}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7024 x^{2 x} \log{\left(x \right)}^{3}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{2984 x^{2 x} \log{\left(x \right)}^{2}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{3608 x^{2 x} \log{\left(x \right)}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{244 x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{2 x^{2 x} \log{\left(x \right)}^{10}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{52 x^{2 x} \log{\left(x \right)}^{9}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{654 x^{2 x} \log{\left(x \right)}^{8}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{3744 x^{2 x} \log{\left(x \right)}^{7}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{6652 x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{11016 x^{2 x} \log{\left(x \right)}^{5}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{11244 x^{2 x} \log{\left(x \right)}^{4}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2448 x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{2694 x^{2 x} \log{\left(x \right)}^{2}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{228 x^{2 x} \log{\left(x \right)}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{26 x^{2 x}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{8 x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{32 x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{112 x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{56 x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} + \frac{3136 x^{2 x} \log{\left(x \right)}^{3}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{32 x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{80 x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{14 x^{2 x} \log{\left(x \right)}^{10}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{184 x^{2 x} \log{\left(x \right)}^{9}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{2990 x^{2 x} \log{\left(x \right)}^{8}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{8656 x^{2 x} \log{\left(x \right)}^{7}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{4732 x^{2 x} \log{\left(x \right)}^{6}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{11872 x^{2 x} \log{\left(x \right)}^{5}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{812 x^{2 x} \log{\left(x \right)}^{4}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{2800 x^{2 x} \log{\left(x \right)}^{3}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{8254 x^{2 x} \log{\left(x \right)}^{2}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{3464 x^{2 x} \log{\left(x \right)}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{190 x^{2 x}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{16 x^{2 x} \log{\left(x \right)}^{8}}{9 - 9 x} - \frac{160 x^{2 x} \log{\left(x \right)}^{7}}{9 - 9 x} - \frac{3488 x^{2 x} \log{\left(x \right)}^{5}}{9 - 9 x} - \frac{7520 x^{2 x} \log{\left(x \right)}^{4}}{9 - 9 x} - \frac{7360 x^{2 x} \log{\left(x \right)}^{2}}{9 - 9 x} - \frac{3040 x^{2 x} \log{\left(x \right)}}{9 - 9 x} + \frac{8 x^{2 x} \log{\left(x \right)}^{8}}{3 - 3 x} + \frac{64 x^{2 x} \log{\left(x \right)}^{7}}{3 - 3 x} - \frac{64 x^{2 x} \log{\left(x \right)}^{6}}{3 - 3 x} + \frac{640 x^{2 x} \log{\left(x \right)}^{5}}{3 - 3 x} + \frac{1040 x^{2 x} \log{\left(x \right)}^{4}}{3 - 3 x} - \frac{800 x^{2 x} \log{\left(x \right)}^{3}}{3 - 3 x} + \frac{704 x^{2 x} \log{\left(x \right)}^{2}}{3 - 3 x} + \frac{256 x^{2 x} \log{\left(x \right)}}{3 - 3 x} + \frac{8 x^{2 x}}{3 - 3 x} - \frac{448 x^{2 x} \log{\left(x \right)}^{3}}{1 - x} - \frac{48 x^{2 x}}{1 - x} - \frac{672 x^{2 x} \log{\left(x \right)}^{4}}{-1 + \frac{1}{x}} + \frac{224 x^{2 x} \log{\left(x \right)}^{3}}{-1 + \frac{1}{x}} - \frac{32 x^{2 x}}{-1 + \frac{1}{x}} - \frac{16 x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{3}{x}} + \frac{48 x^{2 x} \log{\left(x \right)}^{8}}{-3 + \frac{3}{x}} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{3}{x}} + \frac{896 x^{2 x} \log{\left(x \right)}^{6}}{-3 + \frac{3}{x}} - \frac{4224 x^{2 x} \log{\left(x \right)}^{5}}{-3 + \frac{3}{x}} + \frac{1120 x^{2 x} \log{\left(x \right)}^{4}}{-3 + \frac{3}{x}} - \frac{2976 x^{2 x} \log{\left(x \right)}^{2}}{-3 + \frac{3}{x}} - \frac{24 x^{2 x} \log{\left(x \right)}}{-3 + \frac{3}{x}} + \frac{32 x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{9}{x}} - \frac{464 x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{9}{x}} - \frac{1632 x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{9}{x}} - \frac{11200 x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{9}{x}} - \frac{5728 x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{9}{x}} - \frac{21888 x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{9}{x}} - \frac{22496 x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{9}{x}} - \frac{1376 x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{9}{x}} - \frac{2760 x^{2 x} \log{\left(x \right)}}{-9 + \frac{9}{x}} - \frac{32 x^{2 x}}{-9 + \frac{9}{x}}}{- \frac{x^{2} x^{x} \log{\left(x \right)}^{7}}{3} - \frac{7 x^{2} x^{x} \log{\left(x \right)}^{6}}{3} - 7 x^{2} x^{x} \log{\left(x \right)}^{5} - \frac{35 x^{2} x^{x} \log{\left(x \right)}^{4}}{3} - \frac{35 x^{2} x^{x} \log{\left(x \right)}^{3}}{3} - 7 x^{2} x^{x} \log{\left(x \right)}^{2} - \frac{7 x^{2} x^{x} \log{\left(x \right)}}{3} - \frac{x^{2} x^{x}}{3} - 2 x x^{x} \log{\left(x \right)}^{6} - 17 x x^{x} \log{\left(x \right)}^{5} - 55 x x^{x} \log{\left(x \right)}^{4} - 90 x x^{x} \log{\left(x \right)}^{3} - 80 x x^{x} \log{\left(x \right)}^{2} - 37 x x^{x} \log{\left(x \right)} - 7 x x^{x} - 2 x^{x} \log{\left(x \right)}^{5} - \frac{71 x^{x} \log{\left(x \right)}^{4}}{3} - \frac{272 x^{x} \log{\left(x \right)}^{3}}{3} - 150 x^{x} \log{\left(x \right)}^{2} - \frac{338 x^{x} \log{\left(x \right)}}{3} - \frac{95 x^{x}}{3} - \frac{8 x^{x} \log{\left(x \right)}^{3}}{3 x} - \frac{20 x^{x} \log{\left(x \right)}^{2}}{x} - \frac{40 x^{x} \log{\left(x \right)}}{x} - \frac{68 x^{x}}{3 x}}\right)$$
=
$$\lim_{x \to \infty}\left(\frac{\frac{8 x^{4} x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{80 x^{4} x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{784 x^{4} x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{1120 x^{4} x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{560 x^{4} x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{176 x^{4} x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{112 x^{4} x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} + \frac{8 x^{4} x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{112 x^{4} x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{4 x^{4} x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{32 x^{4} x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{104 x^{4} x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{112 x^{4} x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} - \frac{136 x^{4} x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} - \frac{52 x^{4} x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{8 x^{4} x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} - \frac{2 x^{4} x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{2 x^{4} x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{56 x^{4} x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2 x^{4} x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{8 x^{4} x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{28 x^{4} x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{28 x^{4} x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{8 x^{4} x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{2 x^{4} x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} + \frac{48 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{480 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{4704 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{6720 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{3360 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{1056 x^{3} x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{672 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} + \frac{48 x^{3} x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{672 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{24 x^{3} x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{192 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{624 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{672 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} - \frac{816 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} - \frac{312 x^{3} x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{48 x^{3} x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} - \frac{12 x^{3} x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{12 x^{3} x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{336 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{12 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{48 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{168 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{168 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{48 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{12 x^{3} x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} + \frac{4 x^{3} x^{2 x} \log{\left(x \right)}^{12}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{16 x^{3} x^{2 x} \log{\left(x \right)}^{11}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{88 x^{3} x^{2 x} \log{\left(x \right)}^{10}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{880 x^{3} x^{2 x} \log{\left(x \right)}^{9}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{220 x^{3} x^{2 x} \log{\left(x \right)}^{8}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{352 x^{3} x^{2 x} \log{\left(x \right)}^{7}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{1232 x^{3} x^{2 x} \log{\left(x \right)}^{6}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{352 x^{3} x^{2 x} \log{\left(x \right)}^{5}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{220 x^{3} x^{2 x} \log{\left(x \right)}^{4}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{880 x^{3} x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{88 x^{3} x^{2 x} \log{\left(x \right)}^{2}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{16 x^{3} x^{2 x} \log{\left(x \right)}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{4 x^{3} x^{2 x}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{128 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1024 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{768 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{6400 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{7040 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1920 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1664 x^{2} x^{2 x} \log{\left(x \right)}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{256 x^{2} x^{2 x}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{128 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} - \frac{128 x^{2} x^{2 x} \log{\left(x \right)}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{64 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{768 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{128 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{1920 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{3456 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{2816 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{768 x^{2} x^{2 x} \log{\left(x \right)}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{192 x^{2} x^{2 x}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{32 x^{2} x^{2 x} \log{\left(x \right)}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} - \frac{160 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{80 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{296 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{960 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{144 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{704 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2160 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{864 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{280 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{272 x^{2} x^{2 x} \log{\left(x \right)}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{8 x^{2} x^{2 x}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{20 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{240 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{504 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{240 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{20 x^{2} x^{2 x} \log{\left(x \right)}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{2 x^{2} x^{2 x}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{80 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{344 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{832 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{1232 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{560 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{64 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{88 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{48 x^{2} x^{2 x} \log{\left(x \right)}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{8 x^{2} x^{2 x}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{88 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{880 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{10544 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{17600 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{12400 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{4624 x^{2} x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{1296 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} - \frac{192 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{3 x^{2} - 6 x + 3} - \frac{480 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{3 x^{2} - 6 x + 3} + \frac{1248 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{3 x^{2} - 6 x + 3} - \frac{480 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{3 x^{2} - 6 x + 3} - \frac{192 x^{2} x^{2 x} \log{\left(x \right)}}{3 x^{2} - 6 x + 3} + \frac{72 x^{2} x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{1456 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{48 x^{2} x^{2 x}}{x^{2} - 2 x + 1} + \frac{68 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{904 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{3240 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{1600 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{9 x - 18 + \frac{9}{x}} + \frac{14912 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} + \frac{12456 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} + \frac{1760 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 x - 18 + \frac{9}{x}} + \frac{2632 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} + \frac{180 x^{2} x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{72 x^{2} x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{3 x - 6 + \frac{3}{x}} + \frac{224 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 x - 6 + \frac{3}{x}} + \frac{728 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{728 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} + \frac{16 x^{2} x^{2 x} \log{\left(x \right)}}{3 x - 6 + \frac{3}{x}} + \frac{8 x^{2} x^{2 x}}{3 x - 6 + \frac{3}{x}} + \frac{656 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{x - 2 + \frac{1}{x}} + \frac{224 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{x - 2 + \frac{1}{x}} + \frac{992 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{x - 2 + \frac{1}{x}} + \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{11}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{34 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{20 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{248 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{520 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{3836 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{3800 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{240 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{890 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{2 x^{2} x^{2 x}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{70 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{62 x^{2} x^{2 x} \log{\left(x \right)}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{4 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{288 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{2 x^{2} x^{2 x}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{2 x^{2} x^{2 x} \log{\left(x \right)}^{13}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{26 x^{2} x^{2 x} \log{\left(x \right)}^{12}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{52 x^{2} x^{2 x} \log{\left(x \right)}^{11}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{572 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{476 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{284 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{1088 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{258 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}} - \frac{1178 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{404 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{28 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{8 x^{2} x^{2 x} \log{\left(x \right)}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{16 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{134 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{1932 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{1792 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7504 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{6720 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{2240 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{688 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{1368 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{32 x^{2} x^{2 x} \log{\left(x \right)}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{126 x^{2} x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{6 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{68 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{800 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{1148 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{504 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{420 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{968 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{90 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{20 x^{2} x^{2 x} \log{\left(x \right)}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2 x^{2} x^{2 x}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{26 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{104 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{364 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{308 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{104 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{98 x^{2} x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{4 x^{2} x^{2 x} \log{\left(x \right)}^{12}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{22 x^{2} x^{2 x} \log{\left(x \right)}^{11}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{76 x^{2} x^{2 x} \log{\left(x \right)}^{10}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{1090 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{1580 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{3964 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{2184 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{7484 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{5980 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{9890 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{3596 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{778 x^{2} x^{2 x} \log{\left(x \right)}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{76 x^{2} x^{2 x}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{8 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{9 - 9 x} - \frac{80 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{9 - 9 x} - \frac{784 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{9 - 9 x} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{9 - 9 x} - \frac{560 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{9 - 9 x} - \frac{176 x^{2} x^{2 x} \log{\left(x \right)}}{9 - 9 x} - \frac{112 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{3 - 3 x} - \frac{8 x^{2} x^{2 x}}{3 - 3 x} - \frac{112 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{1 - x} - \frac{168 x^{2} x^{2 x} \log{\left(x \right)}^{4}}{-1 + \frac{1}{x}} - \frac{4 x^{2} x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{3}{x}} - \frac{160 x^{2} x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{3}{x}} - \frac{20 x^{2} x^{2 x} \log{\left(x \right)}}{-3 + \frac{3}{x}} - \frac{116 x^{2} x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{9}{x}} - \frac{1120 x^{2} x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{9}{x}} - \frac{1624 x^{2} x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{9}{x}} - \frac{896 x^{2} x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{9}{x}} - \frac{320 x^{2} x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{9}{x}} - \frac{4 x^{2} x^{2 x}}{-9 + \frac{9}{x}} + \frac{1792 x x^{2 x} \log{\left(x \right)}^{5}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{1792 x x^{2 x} \log{\left(x \right)}^{2}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{256 x x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{2048 x x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1536 x x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{12800 x x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{14080 x x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{3840 x x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{3328 x x^{2 x} \log{\left(x \right)}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{512 x x^{2 x}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{256 x x^{2 x} \log{\left(x \right)}^{7}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} - \frac{256 x x^{2 x} \log{\left(x \right)}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{128 x x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{1536 x x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{256 x x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{3840 x x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{6912 x x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{5632 x x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{1536 x x^{2 x} \log{\left(x \right)}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{384 x x^{2 x}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{64 x x^{2 x} \log{\left(x \right)}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} - \frac{320 x x^{2 x} \log{\left(x \right)}^{7}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{2240 x x^{2 x} \log{\left(x \right)}^{4}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{16 x x^{2 x} \log{\left(x \right)}^{10}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{192 x x^{2 x} \log{\left(x \right)}^{9}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{880 x x^{2 x} \log{\left(x \right)}^{8}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{3072 x x^{2 x} \log{\left(x \right)}^{7}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2976 x x^{2 x} \log{\left(x \right)}^{6}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{2624 x x^{2 x} \log{\left(x \right)}^{5}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{8352 x x^{2 x} \log{\left(x \right)}^{4}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{960 x x^{2 x} \log{\left(x \right)}^{3}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{592 x x^{2 x} \log{\left(x \right)}^{2}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{832 x x^{2 x} \log{\left(x \right)}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{48 x x^{2 x}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{4 x x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{48 x x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{252 x x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{768 x x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1512 x x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{2016 x x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1848 x x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1152 x x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{468 x x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{112 x x^{2 x} \log{\left(x \right)}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{12 x x^{2 x}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{16 x x^{2 x} \log{\left(x \right)}^{10}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{192 x x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{976 x x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{2816 x x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{5152 x x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{6272 x x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{5152 x x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{2816 x x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{976 x x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{192 x x^{2 x} \log{\left(x \right)}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{16 x x^{2 x}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{64 x x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} + \frac{640 x x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} + \frac{10112 x x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} + \frac{19520 x x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} + \frac{16960 x x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{6784 x x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} + \frac{1024 x x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} - \frac{384 x x^{2 x} \log{\left(x \right)}^{5}}{3 x^{2} - 6 x + 3} - \frac{960 x x^{2 x} \log{\left(x \right)}^{4}}{3 x^{2} - 6 x + 3} + \frac{2496 x x^{2 x} \log{\left(x \right)}^{3}}{3 x^{2} - 6 x + 3} - \frac{960 x x^{2 x} \log{\left(x \right)}^{2}}{3 x^{2} - 6 x + 3} - \frac{384 x x^{2 x} \log{\left(x \right)}}{3 x^{2} - 6 x + 3} + \frac{32 x x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{1344 x x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{96 x x^{2 x}}{x^{2} - 2 x + 1} + \frac{112 x x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} + \frac{1680 x x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} + \frac{5024 x x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} + \frac{6336 x x^{2 x} \log{\left(x \right)}^{6}}{9 x - 18 + \frac{9}{x}} + \frac{32736 x x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} + \frac{25696 x x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} + \frac{5760 x x^{2 x} \log{\left(x \right)}^{3}}{9 x - 18 + \frac{9}{x}} + \frac{7872 x x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} + \frac{1088 x x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} - \frac{32 x x^{2 x}}{9 x - 18 + \frac{9}{x}} + \frac{16 x x^{2 x} \log{\left(x \right)}^{9}}{3 x - 6 + \frac{3}{x}} + \frac{896 x x^{2 x} \log{\left(x \right)}^{7}}{3 x - 6 + \frac{3}{x}} + \frac{672 x x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{672 x x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} + \frac{64 x x^{2 x} \log{\left(x \right)}}{3 x - 6 + \frac{3}{x}} + \frac{16 x x^{2 x}}{3 x - 6 + \frac{3}{x}} + \frac{1312 x x^{2 x} \log{\left(x \right)}^{6}}{x - 2 + \frac{1}{x}} + \frac{896 x x^{2 x} \log{\left(x \right)}^{4}}{x - 2 + \frac{1}{x}} + \frac{1984 x x^{2 x} \log{\left(x \right)}^{3}}{x - 2 + \frac{1}{x}} + \frac{24 x x^{2 x} \log{\left(x \right)}^{11}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{68 x x^{2 x} \log{\left(x \right)}^{10}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{48 x x^{2 x} \log{\left(x \right)}^{9}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{1032 x x^{2 x} \log{\left(x \right)}^{8}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{528 x x^{2 x} \log{\left(x \right)}^{7}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{1512 x x^{2 x} \log{\left(x \right)}^{6}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{8232 x x^{2 x} \log{\left(x \right)}^{5}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{8208 x x^{2 x} \log{\left(x \right)}^{4}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{1152 x x^{2 x} \log{\left(x \right)}^{3}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{1788 x x^{2 x} \log{\left(x \right)}^{2}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{32 x x^{2 x} \log{\left(x \right)}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{12 x x^{2 x}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{228 x x^{2 x} \log{\left(x \right)}^{9}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{2016 x x^{2 x} \log{\left(x \right)}^{6}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{124 x x^{2 x} \log{\left(x \right)}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{16 x x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{680 x x^{2 x} \log{\left(x \right)}^{3}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{4 x x^{2 x}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{4 x x^{2 x} \log{\left(x \right)}^{13}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{38 x x^{2 x} \log{\left(x \right)}^{12}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{106 x x^{2 x} \log{\left(x \right)}^{11}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{20 x x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}} - \frac{2092 x x^{2 x} \log{\left(x \right)}^{9}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{6904 x x^{2 x} \log{\left(x \right)}^{8}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{13276 x x^{2 x} \log{\left(x \right)}^{7}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{5608 x x^{2 x} \log{\left(x \right)}^{6}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{14564 x x^{2 x} \log{\left(x \right)}^{5}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{8602 x x^{2 x} \log{\left(x \right)}^{4}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{3358 x x^{2 x} \log{\left(x \right)}^{3}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{268 x x^{2 x} \log{\left(x \right)}^{2}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{100 x x^{2 x} \log{\left(x \right)}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{4 x x^{2 x}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{64 x x^{2 x} \log{\left(x \right)}^{10}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{616 x x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{5272 x x^{2 x} \log{\left(x \right)}^{8}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7168 x x^{2 x} \log{\left(x \right)}^{7}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{20832 x x^{2 x} \log{\left(x \right)}^{6}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{19712 x x^{2 x} \log{\left(x \right)}^{5}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{8960 x x^{2 x} \log{\left(x \right)}^{4}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{672 x x^{2 x} \log{\left(x \right)}^{3}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{2192 x x^{2 x} \log{\left(x \right)}^{2}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{128 x x^{2 x} \log{\left(x \right)}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{224 x x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{12 x x^{2 x} \log{\left(x \right)}^{10}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{128 x x^{2 x} \log{\left(x \right)}^{9}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{252 x x^{2 x} \log{\left(x \right)}^{8}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{1312 x x^{2 x} \log{\left(x \right)}^{7}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2184 x x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2016 x x^{2 x} \log{\left(x \right)}^{5}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{1848 x x^{2 x} \log{\left(x \right)}^{4}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{1824 x x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{468 x x^{2 x} \log{\left(x \right)}^{2}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{112 x x^{2 x} \log{\left(x \right)}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{12 x x^{2 x}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{24 x x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{96 x x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{336 x x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{224 x x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{96 x x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{168 x x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{8 x x^{2 x} \log{\left(x \right)}^{11}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{266 x x^{2 x} \log{\left(x \right)}^{10}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{1100 x x^{2 x} \log{\left(x \right)}^{9}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{186 x x^{2 x} \log{\left(x \right)}^{8}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{2192 x x^{2 x} \log{\left(x \right)}^{7}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{14588 x x^{2 x} \log{\left(x \right)}^{6}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{10136 x x^{2 x} \log{\left(x \right)}^{5}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{36460 x x^{2 x} \log{\left(x \right)}^{4}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{27496 x x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{1438 x x^{2 x} \log{\left(x \right)}^{2}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{388 x x^{2 x} \log{\left(x \right)}}{- \frac{1}{x} + \frac{1}{x^{2}}} + \frac{46 x x^{2 x}}{- \frac{1}{x} + \frac{1}{x^{2}}} - \frac{32 x x^{2 x} \log{\left(x \right)}^{8}}{9 - 9 x} - \frac{320 x x^{2 x} \log{\left(x \right)}^{7}}{9 - 9 x} - \frac{3136 x x^{2 x} \log{\left(x \right)}^{5}}{9 - 9 x} - \frac{4480 x x^{2 x} \log{\left(x \right)}^{4}}{9 - 9 x} - \frac{2240 x x^{2 x} \log{\left(x \right)}^{2}}{9 - 9 x} - \frac{704 x x^{2 x} \log{\left(x \right)}}{9 - 9 x} - \frac{448 x x^{2 x} \log{\left(x \right)}^{6}}{3 - 3 x} - \frac{32 x x^{2 x}}{3 - 3 x} - \frac{448 x x^{2 x} \log{\left(x \right)}^{3}}{1 - x} - \frac{672 x x^{2 x} \log{\left(x \right)}^{4}}{-1 + \frac{1}{x}} - \frac{16 x x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{3}{x}} - \frac{640 x x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{3}{x}} - \frac{80 x x^{2 x} \log{\left(x \right)}}{-3 + \frac{3}{x}} - \frac{464 x x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{9}{x}} - \frac{4480 x x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{9}{x}} - \frac{6496 x x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{9}{x}} - \frac{3584 x x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{9}{x}} - \frac{1280 x x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{9}{x}} - \frac{16 x x^{2 x}}{-9 + \frac{9}{x}} + \frac{896 x^{2 x} \log{\left(x \right)}^{5}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{896 x^{2 x} \log{\left(x \right)}^{2}}{- 3 x^{3} + 9 x^{2} - 9 x + 3} + \frac{32 x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{384 x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1920 x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{2560 x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{8640 x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{8832 x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{2816 x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{1920 x^{2 x} \log{\left(x \right)}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{288 x^{2 x}}{- 9 x^{3} + 27 x^{2} - 27 x + 9} + \frac{128 x^{2 x} \log{\left(x \right)}^{7}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{1792 x^{2 x} \log{\left(x \right)}^{6}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{1792 x^{2 x} \log{\left(x \right)}^{3}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} - \frac{128 x^{2 x} \log{\left(x \right)}}{- 3 x^{2} + 9 x - 9 + \frac{3}{x}} + \frac{96 x^{2 x} \log{\left(x \right)}^{9}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{1152 x^{2 x} \log{\left(x \right)}^{8}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{5248 x^{2 x} \log{\left(x \right)}^{7}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{9472 x^{2 x} \log{\left(x \right)}^{6}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{23232 x^{2 x} \log{\left(x \right)}^{5}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{22016 x^{2 x} \log{\left(x \right)}^{4}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{6656 x^{2 x} \log{\left(x \right)}^{3}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{3072 x^{2 x} \log{\left(x \right)}^{2}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{352 x^{2 x} \log{\left(x \right)}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} - \frac{128 x^{2 x}}{- 9 x^{2} + 27 x - 27 + \frac{9}{x}} + \frac{128 x^{2 x} \log{\left(x \right)}^{2}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} - \frac{32 x^{2 x} \log{\left(x \right)}}{- x + 3 - \frac{3}{x} + \frac{1}{x^{2}}} + \frac{640 x^{2 x} \log{\left(x \right)}^{8}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{160 x^{2 x} \log{\left(x \right)}^{7}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{4480 x^{2 x} \log{\left(x \right)}^{5}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} - \frac{1120 x^{2 x} \log{\left(x \right)}^{4}}{- 3 x + 9 - \frac{9}{x} + \frac{3}{x^{2}}} + \frac{104 x^{2 x} \log{\left(x \right)}^{10}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{1200 x^{2 x} \log{\left(x \right)}^{9}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{3888 x^{2 x} \log{\left(x \right)}^{8}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{16128 x^{2 x} \log{\left(x \right)}^{7}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{26032 x^{2 x} \log{\left(x \right)}^{6}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{14400 x^{2 x} \log{\left(x \right)}^{5}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{22560 x^{2 x} \log{\left(x \right)}^{4}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{8288 x^{2 x} \log{\left(x \right)}^{3}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{936 x^{2 x} \log{\left(x \right)}^{2}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{560 x^{2 x} \log{\left(x \right)}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} + \frac{16 x^{2 x}}{- 9 x + 27 - \frac{27}{x} + \frac{9}{x^{2}}} - \frac{64 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{1}{x} + \frac{3}{x^{2}} - \frac{3}{x^{3}} + \frac{1}{x^{4}}} - \frac{16 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{144 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{576 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{1344 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{4480 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{2016 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{1344 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{1120 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{144 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} - \frac{16 x^{2 x} \log{\left(x \right)}}{- \frac{3}{x} + \frac{9}{x^{2}} - \frac{9}{x^{3}} + \frac{3}{x^{4}}} + \frac{8 x^{2 x} \log{\left(x \right)}^{12}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{48 x^{2 x} \log{\left(x \right)}^{11}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{18 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{76 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{2654 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{5136 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1956 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} - \frac{2536 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{828 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{3488 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{1066 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{276 x^{2 x} \log{\left(x \right)}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{26 x^{2 x}}{- \frac{9}{x} + \frac{27}{x^{2}} - \frac{27}{x^{3}} + \frac{9}{x^{4}}} + \frac{48 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{1}{x^{2}} + \frac{3}{x^{3}} - \frac{3}{x^{4}} + \frac{1}{x^{5}}} + \frac{336 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{1}{x^{2}} + \frac{3}{x^{3}} - \frac{3}{x^{4}} + \frac{1}{x^{5}}} + \frac{72 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{1}{x^{2}} + \frac{3}{x^{3}} - \frac{3}{x^{4}} + \frac{1}{x^{5}}} - \frac{4 x^{2 x} \log{\left(x \right)}^{11}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{40 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{180 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{64 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{56 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{1008 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} + \frac{56 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} + \frac{64 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{180 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{40 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{4 x^{2 x} \log{\left(x \right)}}{- \frac{3}{x^{2}} + \frac{9}{x^{3}} - \frac{9}{x^{4}} + \frac{3}{x^{5}}} - \frac{8 x^{2 x} \log{\left(x \right)}^{12}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{72 x^{2 x} \log{\left(x \right)}^{11}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{256 x^{2 x} \log{\left(x \right)}^{10}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{800 x^{2 x} \log{\left(x \right)}^{9}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{976 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{1232 x^{2 x} \log{\left(x \right)}^{6}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{2176 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{1880 x^{2 x} \log{\left(x \right)}^{4}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{944 x^{2 x} \log{\left(x \right)}^{3}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{416 x^{2 x} \log{\left(x \right)}^{2}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{48 x^{2 x} \log{\left(x \right)}}{- \frac{9}{x^{2}} + \frac{27}{x^{3}} - \frac{27}{x^{4}} + \frac{9}{x^{5}}} + \frac{2 x^{2 x} \log{\left(x \right)}^{12}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{8 x^{2 x} \log{\left(x \right)}^{11}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{130 x^{2 x} \log{\left(x \right)}^{10}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{140 x^{2 x} \log{\left(x \right)}^{9}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{100 x^{2 x} \log{\left(x \right)}^{8}}{- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}} + \frac{448 x^{2 x} \log{\left(x \right)}^{7}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{476 x^{2 x} \log{\left(x \right)}^{6}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{120 x^{2 x} \log{\left(x \right)}^{5}}{- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}} + \frac{190 x^{2 x} \log{\left(x \right)}^{4}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{200 x^{2 x} \log{\left(x \right)}^{3}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{14 x^{2 x} \log{\left(x \right)}^{2}}{3 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} + \frac{4 x^{2 x} \log{\left(x \right)}}{9 \left(- \frac{1}{x^{3}} + \frac{3}{x^{4}} - \frac{3}{x^{5}} + \frac{1}{x^{6}}\right)} - \frac{448 x^{2 x} \log{\left(x \right)}^{6}}{-1 + \frac{3}{x} - \frac{3}{x^{2}} + \frac{1}{x^{3}}} + \frac{112 x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{128 x^{2 x} \log{\left(x \right)}^{8}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{512 x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{1280 x^{2 x} \log{\left(x \right)}^{6}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{2080 x^{2 x} \log{\left(x \right)}^{5}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{2176 x^{2 x} \log{\left(x \right)}^{4}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{2880 x^{2 x} \log{\left(x \right)}^{3}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{512 x^{2 x} \log{\left(x \right)}^{2}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} - \frac{144 x^{2 x} \log{\left(x \right)}}{-3 + \frac{9}{x} - \frac{9}{x^{2}} + \frac{3}{x^{3}}} + \frac{48 x^{2 x} \log{\left(x \right)}^{11}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{472 x^{2 x} \log{\left(x \right)}^{10}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{1480 x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{3424 x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} + \frac{1408 x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{2480 x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{14992 x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{16096 x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{5680 x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{3752 x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{568 x^{2 x} \log{\left(x \right)}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{64 x^{2 x}}{-9 + \frac{27}{x} - \frac{27}{x^{2}} + \frac{9}{x^{3}}} - \frac{16 x^{2 x} \log{\left(x \right)}^{8}}{9 x^{2} - 18 x + 9} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{9 x^{2} - 18 x + 9} - \frac{1920 x^{2 x} \log{\left(x \right)}^{6}}{9 x^{2} - 18 x + 9} + \frac{928 x^{2 x} \log{\left(x \right)}^{5}}{9 x^{2} - 18 x + 9} - \frac{1120 x^{2 x} \log{\left(x \right)}^{4}}{9 x^{2} - 18 x + 9} - \frac{8832 x^{2 x} \log{\left(x \right)}^{3}}{9 x^{2} - 18 x + 9} + \frac{4544 x^{2 x} \log{\left(x \right)}^{2}}{9 x^{2} - 18 x + 9} + \frac{1120 x^{2 x} \log{\left(x \right)}}{9 x^{2} - 18 x + 9} - \frac{288 x^{2 x}}{9 x^{2} - 18 x + 9} - \frac{8 x^{2 x} \log{\left(x \right)}^{8}}{3 x^{2} - 6 x + 3} - \frac{64 x^{2 x} \log{\left(x \right)}^{7}}{3 x^{2} - 6 x + 3} + \frac{64 x^{2 x} \log{\left(x \right)}^{6}}{3 x^{2} - 6 x + 3} - \frac{1536 x^{2 x} \log{\left(x \right)}^{5}}{3 x^{2} - 6 x + 3} - \frac{1040 x^{2 x} \log{\left(x \right)}^{4}}{3 x^{2} - 6 x + 3} + \frac{800 x^{2 x} \log{\left(x \right)}^{3}}{3 x^{2} - 6 x + 3} - \frac{1600 x^{2 x} \log{\left(x \right)}^{2}}{3 x^{2} - 6 x + 3} - \frac{256 x^{2 x} \log{\left(x \right)}}{3 x^{2} - 6 x + 3} - \frac{8 x^{2 x}}{3 x^{2} - 6 x + 3} + \frac{448 x^{2 x} \log{\left(x \right)}^{3}}{x^{2} - 2 x + 1} + \frac{48 x^{2 x}}{x^{2} - 2 x + 1} - \frac{64 x^{2 x} \log{\left(x \right)}^{9}}{9 x - 18 + \frac{9}{x}} - \frac{320 x^{2 x} \log{\left(x \right)}^{8}}{9 x - 18 + \frac{9}{x}} - \frac{1216 x^{2 x} \log{\left(x \right)}^{7}}{9 x - 18 + \frac{9}{x}} - \frac{5376 x^{2 x} \log{\left(x \right)}^{6}}{9 x - 18 + \frac{9}{x}} + \frac{7280 x^{2 x} \log{\left(x \right)}^{5}}{9 x - 18 + \frac{9}{x}} + \frac{688 x^{2 x} \log{\left(x \right)}^{4}}{9 x - 18 + \frac{9}{x}} + \frac{4224 x^{2 x} \log{\left(x \right)}^{3}}{9 x - 18 + \frac{9}{x}} + \frac{6160 x^{2 x} \log{\left(x \right)}^{2}}{9 x - 18 + \frac{9}{x}} + \frac{536 x^{2 x} \log{\left(x \right)}}{9 x - 18 + \frac{9}{x}} + \frac{56 x^{2 x}}{9 x - 18 + \frac{9}{x}} - \frac{88 x^{2 x} \log{\left(x \right)}^{8}}{3 x - 6 + \frac{3}{x}} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{3 x - 6 + \frac{3}{x}} - \frac{896 x^{2 x} \log{\left(x \right)}^{6}}{3 x - 6 + \frac{3}{x}} - \frac{1904 x^{2 x} \log{\left(x \right)}^{5}}{3 x - 6 + \frac{3}{x}} - \frac{2128 x^{2 x} \log{\left(x \right)}^{4}}{3 x - 6 + \frac{3}{x}} - \frac{1792 x^{2 x} \log{\left(x \right)}^{3}}{3 x - 6 + \frac{3}{x}} - \frac{736 x^{2 x} \log{\left(x \right)}^{2}}{3 x - 6 + \frac{3}{x}} + \frac{88 x^{2 x} \log{\left(x \right)}}{3 x - 6 + \frac{3}{x}} - \frac{16 x^{2 x}}{3 x - 6 + \frac{3}{x}} + \frac{656 x^{2 x} \log{\left(x \right)}^{6}}{x - 2 + \frac{1}{x}} + \frac{1408 x^{2 x} \log{\left(x \right)}^{4}}{x - 2 + \frac{1}{x}} + \frac{992 x^{2 x} \log{\left(x \right)}^{3}}{x - 2 + \frac{1}{x}} + \frac{742 x^{2 x} \log{\left(x \right)}^{10}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{4272 x^{2 x} \log{\left(x \right)}^{9}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{14652 x^{2 x} \log{\left(x \right)}^{8}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{3280 x^{2 x} \log{\left(x \right)}^{7}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{47292 x^{2 x} \log{\left(x \right)}^{6}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{38988 x^{2 x} \log{\left(x \right)}^{5}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{2072 x^{2 x} \log{\left(x \right)}^{4}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{9948 x^{2 x} \log{\left(x \right)}^{3}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} + \frac{174 x^{2 x} \log{\left(x \right)}^{2}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{96 x^{2 x} \log{\left(x \right)}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{18 x^{2 x}}{\frac{9}{x} - \frac{18}{x^{2}} + \frac{9}{x^{3}}} - \frac{8 x^{2 x} \log{\left(x \right)}^{11}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{64 x^{2 x} \log{\left(x \right)}^{10}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{6 x^{2 x} \log{\left(x \right)}^{9}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{1232 x^{2 x} \log{\left(x \right)}^{6}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{7792 x^{2 x} \log{\left(x \right)}^{4}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} - \frac{62 x^{2 x} \log{\left(x \right)}}{\frac{3}{x} - \frac{6}{x^{2}} + \frac{3}{x^{3}}} + \frac{8 x^{2 x} \log{\left(x \right)}^{11}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{16 x^{2 x} \log{\left(x \right)}^{10}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{3856 x^{2 x} \log{\left(x \right)}^{7}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{444 x^{2 x} \log{\left(x \right)}^{3}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} - \frac{2 x^{2 x}}{\frac{1}{x} - \frac{2}{x^{2}} + \frac{1}{x^{3}}} + \frac{26 x^{2 x} \log{\left(x \right)}^{12}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{106 x^{2 x} \log{\left(x \right)}^{11}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{1652 x^{2 x} \log{\left(x \right)}^{10}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{1556 x^{2 x} \log{\left(x \right)}^{9}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{7348 x^{2 x} \log{\left(x \right)}^{8}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{1564 x^{2 x} \log{\left(x \right)}^{7}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{4816 x^{2 x} \log{\left(x \right)}^{6}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{14128 x^{2 x} \log{\left(x \right)}^{5}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{5074 x^{2 x} \log{\left(x \right)}^{4}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{3094 x^{2 x} \log{\left(x \right)}^{3}}{3 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{3284 x^{2 x} \log{\left(x \right)}^{2}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{604 x^{2 x} \log{\left(x \right)}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} - \frac{40 x^{2 x}}{9 \left(\frac{1}{x^{2}} - \frac{2}{x^{3}} + \frac{1}{x^{4}}\right)} + \frac{8 x^{2 x} \log{\left(x \right)}^{10}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{80 x^{2 x} \log{\left(x \right)}^{9}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{524 x^{2 x} \log{\left(x \right)}^{8}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{96 x^{2 x} \log{\left(x \right)}^{7}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7568 x^{2 x} \log{\left(x \right)}^{6}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{11248 x^{2 x} \log{\left(x \right)}^{5}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{10368 x^{2 x} \log{\left(x \right)}^{4}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{7024 x^{2 x} \log{\left(x \right)}^{3}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{2984 x^{2 x} \log{\left(x \right)}^{2}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{3608 x^{2 x} \log{\left(x \right)}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} + \frac{244 x^{2 x}}{9 - \frac{18}{x} + \frac{9}{x^{2}}} - \frac{2 x^{2 x} \log{\left(x \right)}^{10}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{52 x^{2 x} \log{\left(x \right)}^{9}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{654 x^{2 x} \log{\left(x \right)}^{8}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{3744 x^{2 x} \log{\left(x \right)}^{7}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{6652 x^{2 x} \log{\left(x \right)}^{6}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{11016 x^{2 x} \log{\left(x \right)}^{5}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{11244 x^{2 x} \log{\left(x \right)}^{4}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{2448 x^{2 x} \log{\left(x \right)}^{3}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} + \frac{2694 x^{2 x} \log{\left(x \right)}^{2}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{228 x^{2 x} \log{\left(x \right)}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{26 x^{2 x}}{3 - \frac{6}{x} + \frac{3}{x^{2}}} - \frac{8 x^{2 x} \log{\left(x \right)}^{8}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{32 x^{2 x} \log{\left(x \right)}^{7}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{112 x^{2 x} \log{\left(x \right)}^{5}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{56 x^{2 x} \log{\left(x \right)}^{4}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} + \frac{3136 x^{2 x} \log{\left(x \right)}^{3}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{32 x^{2 x} \log{\left(x \right)}^{2}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{80 x^{2 x} \log{\left(x \right)}}{1 - \frac{2}{x} + \frac{1}{x^{2}}} - \frac{14 x^{2 x} \log{\left(x \right)}^{10}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{184 x^{2 x} \log{\left(x \right)}^{9}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{2990 x^{2 x} \log{\left(x \right)}^{8}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{8656 x^{2 x} \log{\left(x \right)}^{7}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{4732 x^{2 x} \log{\left(x \right)}^{6}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{11872 x^{2 x} \log{\left(x \right)}^{5}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{812 x^{2 x} \log{\left(x \right)}^{4}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{2800 x^{2 x} \log{\left(x \right)}^{3}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{8254 x^{2 x} \log{\left(x \right)}^{2}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{3464 x^{2 x} \log{\left(x \right)}}{9 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} + \frac{190 x^{2 x}}{3 \left(- \frac{1}{x} + \frac{1}{x^{2}}\right)} - \frac{16 x^{2 x} \log{\left(x \right)}^{8}}{9 - 9 x} - \frac{160 x^{2 x} \log{\left(x \right)}^{7}}{9 - 9 x} - \frac{3488 x^{2 x} \log{\left(x \right)}^{5}}{9 - 9 x} - \frac{7520 x^{2 x} \log{\left(x \right)}^{4}}{9 - 9 x} - \frac{7360 x^{2 x} \log{\left(x \right)}^{2}}{9 - 9 x} - \frac{3040 x^{2 x} \log{\left(x \right)}}{9 - 9 x} + \frac{8 x^{2 x} \log{\left(x \right)}^{8}}{3 - 3 x} + \frac{64 x^{2 x} \log{\left(x \right)}^{7}}{3 - 3 x} - \frac{64 x^{2 x} \log{\left(x \right)}^{6}}{3 - 3 x} + \frac{640 x^{2 x} \log{\left(x \right)}^{5}}{3 - 3 x} + \frac{1040 x^{2 x} \log{\left(x \right)}^{4}}{3 - 3 x} - \frac{800 x^{2 x} \log{\left(x \right)}^{3}}{3 - 3 x} + \frac{704 x^{2 x} \log{\left(x \right)}^{2}}{3 - 3 x} + \frac{256 x^{2 x} \log{\left(x \right)}}{3 - 3 x} + \frac{8 x^{2 x}}{3 - 3 x} - \frac{448 x^{2 x} \log{\left(x \right)}^{3}}{1 - x} - \frac{48 x^{2 x}}{1 - x} - \frac{672 x^{2 x} \log{\left(x \right)}^{4}}{-1 + \frac{1}{x}} + \frac{224 x^{2 x} \log{\left(x \right)}^{3}}{-1 + \frac{1}{x}} - \frac{32 x^{2 x}}{-1 + \frac{1}{x}} - \frac{16 x^{2 x} \log{\left(x \right)}^{9}}{-3 + \frac{3}{x}} + \frac{48 x^{2 x} \log{\left(x \right)}^{8}}{-3 + \frac{3}{x}} - \frac{224 x^{2 x} \log{\left(x \right)}^{7}}{-3 + \frac{3}{x}} + \frac{896 x^{2 x} \log{\left(x \right)}^{6}}{-3 + \frac{3}{x}} - \frac{4224 x^{2 x} \log{\left(x \right)}^{5}}{-3 + \frac{3}{x}} + \frac{1120 x^{2 x} \log{\left(x \right)}^{4}}{-3 + \frac{3}{x}} - \frac{2976 x^{2 x} \log{\left(x \right)}^{2}}{-3 + \frac{3}{x}} - \frac{24 x^{2 x} \log{\left(x \right)}}{-3 + \frac{3}{x}} + \frac{32 x^{2 x} \log{\left(x \right)}^{9}}{-9 + \frac{9}{x}} - \frac{464 x^{2 x} \log{\left(x \right)}^{8}}{-9 + \frac{9}{x}} - \frac{1632 x^{2 x} \log{\left(x \right)}^{7}}{-9 + \frac{9}{x}} - \frac{11200 x^{2 x} \log{\left(x \right)}^{6}}{-9 + \frac{9}{x}} - \frac{5728 x^{2 x} \log{\left(x \right)}^{5}}{-9 + \frac{9}{x}} - \frac{21888 x^{2 x} \log{\left(x \right)}^{4}}{-9 + \frac{9}{x}} - \frac{22496 x^{2 x} \log{\left(x \right)}^{3}}{-9 + \frac{9}{x}} - \frac{1376 x^{2 x} \log{\left(x \right)}^{2}}{-9 + \frac{9}{x}} - \frac{2760 x^{2 x} \log{\left(x \right)}}{-9 + \frac{9}{x}} - \frac{32 x^{2 x}}{-9 + \frac{9}{x}}}{- \frac{x^{2} x^{x} \log{\left(x \right)}^{7}}{3} - \frac{7 x^{2} x^{x} \log{\left(x \right)}^{6}}{3} - 7 x^{2} x^{x} \log{\left(x \right)}^{5} - \frac{35 x^{2} x^{x} \log{\left(x \right)}^{4}}{3} - \frac{35 x^{2} x^{x} \log{\left(x \right)}^{3}}{3} - 7 x^{2} x^{x} \log{\left(x \right)}^{2} - \frac{7 x^{2} x^{x} \log{\left(x \right)}}{3} - \frac{x^{2} x^{x}}{3} - 2 x x^{x} \log{\left(x \right)}^{6} - 17 x x^{x} \log{\left(x \right)}^{5} - 55 x x^{x} \log{\left(x \right)}^{4} - 90 x x^{x} \log{\left(x \right)}^{3} - 80 x x^{x} \log{\left(x \right)}^{2} - 37 x x^{x} \log{\left(x \right)} - 7 x x^{x} - 2 x^{x} \log{\left(x \right)}^{5} - \frac{71 x^{x} \log{\left(x \right)}^{4}}{3} - \frac{272 x^{x} \log{\left(x \right)}^{3}}{3} - 150 x^{x} \log{\left(x \right)}^{2} - \frac{338 x^{x} \log{\left(x \right)}}{3} - \frac{95 x^{x}}{3} - \frac{8 x^{x} \log{\left(x \right)}^{3}}{3 x} - \frac{20 x^{x} \log{\left(x \right)}^{2}}{x} - \frac{40 x^{x} \log{\left(x \right)}}{x} - \frac{68 x^{x}}{3 x}}\right)$$
=
$$\infty$$
Como puedes ver, hemos aplicado el método de l'Hopital (utilizando la derivada del numerador y denominador) 6 vez (veces)
Gráfica
Respuesta rápida [src]
oo
$$\infty$$
Otros límites con x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(\frac{x^{x}}{x + 3}\right) = \infty$$
$$\lim_{x \to 0^-}\left(\frac{x^{x}}{x + 3}\right) = \frac{1}{3}$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(\frac{x^{x}}{x + 3}\right) = \frac{1}{3}$$
Más detalles con x→0 a la derecha
$$\lim_{x \to 1^-}\left(\frac{x^{x}}{x + 3}\right) = \frac{1}{4}$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(\frac{x^{x}}{x + 3}\right) = \frac{1}{4}$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(\frac{x^{x}}{x + 3}\right) = -\infty$$
Más detalles con x→-oo