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Resolución de integrales/ (2x+8)/ x^2+x/ (2x+8)/(x^5+3x^2+x)

Integral de (2x+8)/(x^5+3x^2+x) dx

Solución

Ha introducido [src]

 oo                 
  /                 
 |                  
 |     2*x + 8      
 |  ------------- dx
 |   5      2       
 |  x  + 3*x  + x   
 |                  
/                   
7

$$\int\limits_{7}^{\infty} \frac{2 x + 8}{x + \left(x^{5} + 3 x^{2}\right)}\, dx$$

Integral((2*x + 8)/(x^5 + 3*x^2 + x), (x, 7, oo))

Solución detallada

Hay varias maneras de calcular esta integral.
Método #1
1. Vuelva a escribir el integrando:
  
  $\frac{2 x + 8}{x + \left(x^{5} + 3 x^{2}\right)} = - \frac{2 \left(4 x^{3} + 11\right)}{x^{4} + 3 x + 1} + \frac{8}{x}$
2. Integramos término a término:
  1. La integral del producto de una función por una constante es la constante por la integral de esta función:
    
    $\int \left(- \frac{2 \left(4 x^{3} + 11\right)}{x^{4} + 3 x + 1}\right)\, dx = - 2 \int \frac{4 x^{3} + 11}{x^{4} + 3 x + 1}\, dx$
    1. Vuelva a escribir el integrando:
      
      $\frac{4 x^{3} + 11}{x^{4} + 3 x + 1} = \frac{4 x^{3}}{x^{4} + 3 x + 1} + \frac{11}{x^{4} + 3 x + 1}$
    2. Integramos término a término:
      
      La integral del producto de una función por una constante es la constante por la integral de esta función:
      
      $\int \frac{4 x^{3}}{x^{4} + 3 x + 1}\, dx = 4 \int \frac{x^{3}}{x^{4} + 3 x + 1}\, dx$
      
      No puedo encontrar los pasos en la búsqueda de esta integral.
      
      Pero la integral
      
      $\operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
      
      Por lo tanto, el resultado es: $4 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
      
      La integral del producto de una función por una constante es la constante por la integral de esta función:
      
      $\int \frac{11}{x^{4} + 3 x + 1}\, dx = 11 \int \frac{1}{x^{4} + 3 x + 1}\, dx$
      
      No puedo encontrar los pasos en la búsqueda de esta integral.
      
      Pero la integral
      
      $\operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)}$
      
      Por lo tanto, el resultado es: $11 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)}$
      
      El resultado es: $11 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} + 4 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
    Por lo tanto, el resultado es: $- 22 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - 8 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
  1. La integral del producto de una función por una constante es la constante por la integral de esta función:
    
    $\int \frac{8}{x}\, dx = 8 \int \frac{1}{x}\, dx$
    1. Integral $\frac{1}{x}$ es $\log{\left(x \right)}$ .
    Por lo tanto, el resultado es: $8 \log{\left(x \right)}$
  El resultado es: $8 \log{\left(x \right)} - 22 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - 8 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
Método #2
1. Vuelva a escribir el integrando:
  
  $\frac{2 x + 8}{x + \left(x^{5} + 3 x^{2}\right)} = \frac{2 x}{x + \left(x^{5} + 3 x^{2}\right)} + \frac{8}{x + \left(x^{5} + 3 x^{2}\right)}$
2. Integramos término a término:
  1. La integral del producto de una función por una constante es la constante por la integral de esta función:
    
    $\int \frac{2 x}{x + \left(x^{5} + 3 x^{2}\right)}\, dx = 2 \int \frac{x}{x + \left(x^{5} + 3 x^{2}\right)}\, dx$
    1. No puedo encontrar los pasos en la búsqueda de esta integral.
      
      Pero la integral
      
      $\operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)}$
    Por lo tanto, el resultado es: $2 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)}$
  1. La integral del producto de una función por una constante es la constante por la integral de esta función:
    
    $\int \frac{8}{x + \left(x^{5} + 3 x^{2}\right)}\, dx = 8 \int \frac{1}{x + \left(x^{5} + 3 x^{2}\right)}\, dx$
    1. Vuelva a escribir el integrando:
      
      $\frac{1}{x + \left(x^{5} + 3 x^{2}\right)} = - \frac{x^{3} + 3}{x^{4} + 3 x + 1} + \frac{1}{x}$
    2. Integramos término a término:
      
      La integral del producto de una función por una constante es la constante por la integral de esta función:
      
      $\int \left(- \frac{x^{3} + 3}{x^{4} + 3 x + 1}\right)\, dx = - \int \frac{x^{3} + 3}{x^{4} + 3 x + 1}\, dx$
      
      Vuelva a escribir el integrando:
      
      $\frac{x^{3} + 3}{x^{4} + 3 x + 1} = \frac{x^{3}}{x^{4} + 3 x + 1} + \frac{3}{x^{4} + 3 x + 1}$
      
      Integramos término a término:
      
      No puedo encontrar los pasos en la búsqueda de esta integral.
      
      Pero la integral
      
      $\operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
      
      La integral del producto de una función por una constante es la constante por la integral de esta función:
      
      $\int \frac{3}{x^{4} + 3 x + 1}\, dx = 3 \int \frac{1}{x^{4} + 3 x + 1}\, dx$
      
      No puedo encontrar los pasos en la búsqueda de esta integral.
      
      Pero la integral
      
      $\operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)}$
      
      Por lo tanto, el resultado es: $3 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)}$
      
      El resultado es: $3 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} + \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
      
      Por lo tanto, el resultado es: $- 3 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
      
      Integral $\frac{1}{x}$ es $\log{\left(x \right)}$ .
      
      El resultado es: $\log{\left(x \right)} - 3 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
    Por lo tanto, el resultado es: $8 \log{\left(x \right)} - 24 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - 8 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
  El resultado es: $8 \log{\left(x \right)} - 22 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - 8 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$
Ahora simplificar:

$8 \log{\left(x \right)} - 22 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{156411 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{3}}{64} + \frac{17379 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{2}}{64} - \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} + \frac{11191 \sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} \right)} - 22 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right) \log{\left(x + \frac{729}{64} + \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} - \frac{156411 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{3}}{64} + \frac{17379 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{2}}{64} + \frac{11191 \sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} \right)} - 22 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{11191 \sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} + \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} + \frac{17379 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{2}}{64} - \frac{156411 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{3}}{64} \right)} - 22 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{11191 \sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} - \frac{156411 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{3}}{64} + \frac{17379 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{2}}{64} - \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} \right)} - 8 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right) \log{\left(x + \frac{649}{4} + \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} - 3862 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right)^{2} + 5793 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right)^{3} + \frac{1835 \sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} \right)} - 8 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} - 3862 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} - \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} + \frac{1835 \sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + 5793 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} \right)} - 8 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} + 5793 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} - \frac{1835 \sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} - 3862 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} \right)} - 8 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} - \frac{1835 \sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + 5793 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} - 3862 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} - \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} \right)}$
Añadimos la constante de integración:

$8 \log{\left(x \right)} - 22 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{156411 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{3}}{64} + \frac{17379 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{2}}{64} - \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} + \frac{11191 \sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} \right)} - 22 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right) \log{\left(x + \frac{729}{64} + \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} - \frac{156411 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{3}}{64} + \frac{17379 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{2}}{64} + \frac{11191 \sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} \right)} - 22 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{11191 \sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} + \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} + \frac{17379 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{2}}{64} - \frac{156411 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{3}}{64} \right)} - 22 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{11191 \sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} - \frac{156411 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{3}}{64} + \frac{17379 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{2}}{64} - \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} \right)} - 8 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right) \log{\left(x + \frac{649}{4} + \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} - 3862 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right)^{2} + 5793 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right)^{3} + \frac{1835 \sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} \right)} - 8 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} - 3862 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} - \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} + \frac{1835 \sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + 5793 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} \right)} - 8 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} + 5793 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} - \frac{1835 \sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} - 3862 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} \right)} - 8 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} - \frac{1835 \sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + 5793 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} - 3862 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} - \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} \right)}+ \mathrm{constant}$

Respuesta:

$8 \log{\left(x \right)} - 22 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{156411 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{3}}{64} + \frac{17379 \left(- \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{2}}{64} - \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} + \frac{11191 \sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} \right)} - 22 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right) \log{\left(x + \frac{729}{64} + \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} - \frac{156411 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{3}}{64} + \frac{17379 \left(\frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2} + \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2}\right)^{2}}{64} + \frac{11191 \sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} \right)} - 22 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{11191 \sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} + \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} + \frac{17379 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{2}}{64} - \frac{156411 \left(- \frac{\sqrt{\frac{216}{1931} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} + \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} + \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{3}}{64} \right)} - 22 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right) \log{\left(x + \frac{729}{64} - \frac{11191 \sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{128} - \frac{156411 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{3}}{64} + \frac{17379 \left(- \frac{\sqrt{\frac{216}{1931} - \frac{48}{1931 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}} - 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}} - \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}}{2} - \frac{\sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{2}\right)^{2}}{64} - \frac{11191 \sqrt{\frac{108}{1931} + \frac{512}{11186283 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}} + 2 \sqrt[3]{- \frac{2304}{7200237491} + \frac{256 \sqrt{5793}}{64802137419}}}}{128} \right)} - 8 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right) \log{\left(x + \frac{649}{4} + \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} - 3862 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right)^{2} + 5793 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2} + \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2}\right)^{3} + \frac{1835 \sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} \right)} - 8 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} - 3862 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} - \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} + \frac{1835 \sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + 5793 \left(\frac{1}{4} + \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} \right)} - 8 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} + 5793 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} - \frac{1835 \sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} - 3862 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} + \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} \right)} - 8 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right) \log{\left(x + \frac{649}{4} - \frac{1835 \sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{6} + 5793 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{3} - 3862 \left(\frac{1}{4} - \frac{\sqrt{\frac{243}{3862} - 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}} + \frac{81}{7724 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}} - \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}}{2} - \frac{\sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{2}\right)^{2} - \frac{1835 \sqrt{\frac{243}{7724} + \frac{54}{3728761 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}} + 2 \sqrt[3]{- \frac{6561}{115203799856} + \frac{81 \sqrt{5793}}{115203799856}}}}{6} \right)}+ \mathrm{constant}$

Respuesta (Indefinida) [src]

  /                                                                                                                                                                                                                                   
 |                                  /                                       /                  3                    2\\                                                                                                               
 |    2*x + 8                       |      4        2                       |729       156411*t    11191*t   17379*t ||            /      4         3        2                       /28             2         3   1835*t\\           
 | ------------- dx = C - 22*RootSum|1931*t  - 162*t  - 24*t - 1, t -> t*log|--- + x - --------- + ------- + --------|| - 8*RootSum|1931*t  - 1931*t  + 633*t  - 65*t - 1, t -> t*log|-- + x - 3862*t  + 5793*t  + ------|| + 8*log(x)
 |  5      2                        \                                       \ 64           64         64        64   //            \                                                 \3                              3   //           
 | x  + 3*x  + x                                                                                                                                                                                                                      
 |                                                                                                                                                                                                                                    
/

$$\int \frac{2 x + 8}{x + \left(x^{5} + 3 x^{2}\right)}\, dx = C + 8 \log{\left(x \right)} - 22 \operatorname{RootSum} {\left(1931 t^{4} - 162 t^{2} - 24 t - 1, \left( t \mapsto t \log{\left(- \frac{156411 t^{3}}{64} + \frac{17379 t^{2}}{64} + \frac{11191 t}{64} + x + \frac{729}{64} \right)} \right)\right)} - 8 \operatorname{RootSum} {\left(1931 t^{4} - 1931 t^{3} + 633 t^{2} - 65 t - 1, \left( t \mapsto t \log{\left(5793 t^{3} - 3862 t^{2} + \frac{1835 t}{3} + x + \frac{28}{3} \right)} \right)\right)}$$

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Respuesta [src]

   oo                    
    /                    
   |                     
   |       4 + x         
2* |  ---------------- dx
   |    /     4      \   
   |  x*\1 + x  + 3*x/   
   |                     
  /                      
  7

$$2 \int\limits_{7}^{\infty} \frac{x + 4}{x \left(x^{4} + 3 x + 1\right)}\, dx$$

   oo                    
    /                    
   |                     
   |       4 + x         
2* |  ---------------- dx
   |    /     4      \   
   |  x*\1 + x  + 3*x/   
   |                     
  /                      
  7

$$2 \int\limits_{7}^{\infty} \frac{x + 4}{x \left(x^{4} + 3 x + 1\right)}\, dx$$

2*Integral((4 + x)/(x*(1 + x^4 + 3*x)), (x, 7, oo))

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Integral de (2x+8)/(x^5+3x^2+x) dx

Límites de integración:

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Solución

Método #1

Método #2