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Límite de la función/ x*log(sinh(x))^2*sinh(x)/((-1+x)*log(sin(x))^2*sin(x))

Límite de la función x*log(sinh(x))^2*sinh(x)/((-1+x)*log(sin(x))^2*sin(x))

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Ha introducido [src] 
     /       2                    \
     |  x*log (sinh(x))*sinh(x)   |
 lim |----------------------------|
x->0+|            2               |
     \(-1 + x)*log (sin(x))*sin(x)/
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$ 
Limit(((x*log(sinh(x))^2)*sinh(x))/((((-1 + x)*log(sin(x))^2)*sin(x))), x, 0)
Método de l'Hopital
Tenemos la indeterminación de tipo
0/0,

tal que el límite para el numerador es
$$\lim_{x \to 0^+}\left(\frac{x \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) = 0$$
y el límite para el denominador es
$$\lim_{x \to 0^+} \frac{1}{\log{\left(\sinh{\left(x \right)} \right)}^{2}} = 0$$
Vamos a probar las derivadas del numerador y denominador hasta eliminar la indeterminación.
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$
=
Introducimos una pequeña modificación de la función bajo el signo del límite
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$
=
$$\lim_{x \to 0^+}\left(\frac{\frac{d}{d x} \frac{x \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}}{\frac{d}{d x} \frac{1}{\log{\left(\sinh{\left(x \right)} \right)}^{2}}}\right)$$
=
$$\lim_{x \to 0^+}\left(- \frac{\left(\frac{x \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{x \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{\sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)}}{2 \cosh{\left(x \right)}}\right)$$
=
$$\lim_{x \to 0^+}\left(- \frac{\left(\frac{x \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{x \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{\sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)}}{2}\right)$$
=
$$\lim_{x \to 0^+}\left(\frac{\frac{d}{d x} \left(- \frac{\log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)}}{2}\right)}{\frac{d}{d x} \frac{1}{\frac{x \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{x \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{\sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}}}\right)$$
=
$$\lim_{x \to 0^+}\left(\frac{\left(- \frac{\log{\left(\sinh{\left(x \right)} \right)}^{3} \cosh{\left(x \right)}}{2} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh{\left(x \right)}}{2}\right) \left(\frac{x \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{x \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{\sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)^{2}}{- \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{2 x \cos{\left(x \right)} \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} - \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} + \frac{4 x \cos{\left(x \right)} \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} - \frac{6 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{2 x \cosh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{4 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right)^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{2 \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{2 \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} + \frac{4 \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} + \frac{2 \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}}\right)$$
=
$$\lim_{x \to 0^+}\left(\frac{\frac{d}{d x} \left(- \frac{\log{\left(\sinh{\left(x \right)} \right)}^{3} \cosh{\left(x \right)}}{2} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh{\left(x \right)}}{2}\right) \left(\frac{x \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{x \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{\sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)^{2}}{\frac{d}{d x} \left(- \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{2 x \cos{\left(x \right)} \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{2 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} - \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} + \frac{4 x \cos{\left(x \right)} \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} - \frac{6 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{2 x \cosh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{2 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{4 x \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{2 x \sinh{\left(x \right)}}{\left(x - 1\right)^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{2 \cosh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{2 \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} + \frac{4 \cos{\left(x \right)} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} + \frac{2 \sinh{\left(x \right)}}{\left(x - 1\right)^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)}\right)$$
=
$$\lim_{x \to 0^+}\left(\frac{\frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{5} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 5 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 10 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 10 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 5 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{5} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 5 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 10 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 10 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 5 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{8 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{24 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{3}{\left(x \right)}}{2 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 12 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{3}{\left(x \right)}}{2 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 12 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 12 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} + \frac{42 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} + \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{42 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{42 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{21 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cosh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cosh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh^{4}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cosh^{4}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)}} + \frac{36 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)}} + \frac{18 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)}} + \frac{54 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{48 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)}} + \frac{10 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)}} + \frac{30 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{48 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{8 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{24 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{18 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} + \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{4 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{36 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{18 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{3 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{21 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{14 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{42 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{14 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{42 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{2 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{42 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 x \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{2 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} - \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} - \frac{4 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} + \frac{x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{3 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{21 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{3 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{2 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{9 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{9 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{6 x \log{\left(\sinh{\left(x \right)} \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{2 \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{4 \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{2 \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{\log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{2 \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{6 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}}}{\frac{6 x \sinh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{12 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} + \frac{6 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{6 x \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{18 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{18 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} - \frac{12 x \cos{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} + \frac{6 x \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} + \frac{6 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} - \frac{6 x \cos{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} + \frac{6 x \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{24 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{36 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{18 x \cos^{2}{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{18 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{22 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{4}{\left(x \right)}} - \frac{18 x \cos^{2}{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} + \frac{22 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 x \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} + \frac{6 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{4}{\left(x \right)}} - \frac{6 x \cos^{2}{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} + \frac{8 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{4 x \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{6 \sinh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{12 \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} + \frac{6 \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{18 \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{18 \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} + \frac{12 \cos{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} - \frac{6 \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} + \frac{6 \cos{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{6 \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}}\right)$$
=
$$\lim_{x \to 0^+}\left(\frac{\frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{5} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 5 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 10 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 10 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 5 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{5} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 5 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 10 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 10 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 5 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{8 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{24 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{3}{\left(x \right)}}{2 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 12 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{3}{\left(x \right)}}{2 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 12 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 12 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 8 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} + \frac{42 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} + \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{42 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{42 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{21 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cosh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cosh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh^{4}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cosh^{4}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} \sinh{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)}} + \frac{36 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{7} \sin^{5}{\left(x \right)}} + \frac{18 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)}} + \frac{54 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{5}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{48 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{3}{\left(x \right)}} + \frac{10 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)}} + \frac{30 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{5}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{14 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{48 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{8 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{24 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{18 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{3}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{5}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{4 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{12 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos^{2}{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} + \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{9 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{2 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{6 x^{2} \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{4 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{36 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{18 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{3 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{3}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{21 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{14 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{42 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{6} \sin^{4}{\left(x \right)}} - \frac{14 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} - \frac{42 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{2 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{42 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 x \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} - \frac{2 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} - \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{2}{\left(x \right)}} - \frac{4 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{12 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos^{2}{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} + \frac{x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{3 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{21 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 x \log{\left(\sinh{\left(x \right)} \right)} \cos{\left(x \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{3 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{2 x \log{\left(\sinh{\left(x \right)} \right)}^{3} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{9 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{9 x \log{\left(\sinh{\left(x \right)} \right)}^{2} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{6 x \log{\left(\sinh{\left(x \right)} \right)} \cosh^{3}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{2 \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{6 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{4 \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{12 \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{3}{\left(x \right)}} + \frac{2 \log{\left(\sinh{\left(x \right)} \right)}^{3} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{6 \log{\left(\sinh{\left(x \right)} \right)}^{2} \cos{\left(x \right)} \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{\log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh^{3}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{2 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + 2 \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{2 \log{\left(\sinh{\left(x \right)} \right)}^{3} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{6 \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} - \frac{3 \log{\left(\sinh{\left(x \right)} \right)} \sinh{\left(x \right)} \cosh^{2}{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}}}{\frac{6 x \sinh{\left(x \right)}}{x^{4} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 4 x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + 6 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 4 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{12 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} + \frac{6 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{6 x \cosh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{18 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{18 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} - \frac{12 x \cos{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} + \frac{6 x \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} + \frac{6 x \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} - \frac{6 x \cos{\left(x \right)} \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} + \frac{6 x \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} + \frac{24 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{5} \sin^{4}{\left(x \right)}} + \frac{36 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{4}{\left(x \right)}} - \frac{18 x \cos^{2}{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} + \frac{18 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{2}{\left(x \right)}} + \frac{22 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{4}{\left(x \right)}} - \frac{18 x \cos^{2}{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} + \frac{22 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 x \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} + \frac{6 x \cos^{3}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{4}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{4}{\left(x \right)}} - \frac{6 x \cos^{2}{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} + \frac{8 x \cos{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{4 x \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{6 \sinh{\left(x \right)}}{x^{3} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 3 x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + 3 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{12 \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 \cos{\left(x \right)} \sinh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} + \frac{6 \cosh{\left(x \right)}}{x^{2} \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - 2 x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} + \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}} - \frac{18 \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{4} \sin^{3}{\left(x \right)}} - \frac{18 \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{3}{\left(x \right)}} + \frac{12 \cos{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin^{2}{\left(x \right)}} - \frac{6 \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{3} \sin{\left(x \right)}} - \frac{6 \cos^{2}{\left(x \right)} \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{3}{\left(x \right)}} + \frac{6 \cos{\left(x \right)} \cosh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin^{2}{\left(x \right)}} - \frac{6 \sinh{\left(x \right)}}{x \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)} - \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}}\right)$$
=
$$0$$
Como puedes ver, hemos aplicado el método de l'Hopital (utilizando la derivada del numerador y denominador) 3 vez (veces)
Gráfica
Trazar el gráfico
A la izquierda y a la derecha [src] 
     /       2                    \
     |  x*log (sinh(x))*sinh(x)   |
 lim |----------------------------|
x->0+|            2               |
     \(-1 + x)*log (sin(x))*sin(x)/
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$ 
0
$$0$$ 
= -0.000239806519227069
     /       2                    \
     |  x*log (sinh(x))*sinh(x)   |
 lim |----------------------------|
x->0-|            2               |
     \(-1 + x)*log (sin(x))*sin(x)/
$$\lim_{x \to 0^-}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$ 
0
$$0$$ 
= (2.72721943468849e-13 + 2.39871744965439e-13j)
= (2.72721943468849e-13 + 2.39871744965439e-13j)
Respuesta rápida [src] 
0
$$0$$
Abrir y simplificar
Otros límites con x→0, -oo, +oo, 1
$$\lim_{x \to 0^-}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) = 0$$
Más detalles con x→0 a la izquierda
$$\lim_{x \to 0^+}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) = 0$$
$$\lim_{x \to \infty}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$
Más detalles con x→oo
$$\lim_{x \to 1^-}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) = -\infty$$
Más detalles con x→1 a la izquierda
$$\lim_{x \to 1^+}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right) = \infty$$
Más detalles con x→1 a la derecha
$$\lim_{x \to -\infty}\left(\frac{x \log{\left(\sinh{\left(x \right)} \right)}^{2} \sinh{\left(x \right)}}{\left(x - 1\right) \log{\left(\sin{\left(x \right)} \right)}^{2} \sin{\left(x \right)}}\right)$$
Más detalles con x→-oo
Respuesta numérica [src] 
-0.000239806519227069
-0.000239806519227069
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