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Integral de d{x}:
Integral de x^3/(x^8-2)
Integral de (x²+x)/(x^6+1)
Integral de x/((2*x))
Integral de x^2-√x
Expresiones idénticas
(t+ dos *t)/(-t^ tres - dos *t^ dos - tres *t+ dos)
(t más 2 multiplicar por t) dividir por ( menos t al cubo menos 2 multiplicar por t al cuadrado menos 3 multiplicar por t más 2)
(t más dos multiplicar por t) dividir por ( menos t en el grado tres menos dos multiplicar por t en el grado dos menos tres multiplicar por t más dos)
(t+2*t)/(-t3-2*t2-3*t+2)
t+2*t/-t3-2*t2-3*t+2
(t+2*t)/(-t³-2*t²-3*t+2)
(t+2*t)/(-t en el grado 3-2*t en el grado 2-3*t+2)
(t+2t)/(-t^3-2t^2-3t+2)
(t+2t)/(-t3-2t2-3t+2)
t+2t/-t3-2t2-3t+2
t+2t/-t^3-2t^2-3t+2
(t+2*t) dividir por (-t^3-2*t^2-3*t+2)
Expresiones semejantes
(t+2*t)/(t^3-2*t^2-3*t+2)
(t+2*t)/(-t^3+2*t^2-3*t+2)
(t+2*t)/(-t^3-2*t^2+3*t+2)
(t-2*t)/(-t^3-2*t^2-3*t+2)
(t+2*t)/(-t^3-2*t^2-3*t-2)

Resolución de integrales/ 2*t^2/ (t+2*t)/(-t^3-2*t^2-3*t+2)

Integral de (t+2t)/(-t^3-2t^2-3*t+2) dt

Solución

Ha introducido [src]

  1                         
  /                         
 |                          
 |         t + 2*t          
 |  --------------------- dt
 |     3      2             
 |  - t  - 2*t  - 3*t + 2   
 |                          
/                           
0

$$\int\limits_{0}^{1} \frac{t + 2 t}{\left(- 3 t + \left(- t^{3} - 2 t^{2}\right)\right) + 2}\, dt$$

Integral((t + 2*t)/(-t^3 - 2*t^2 - 3*t + 2), (t, 0, 1))

Respuesta (Indefinida) [src]

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13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     160552989295*\/ 3 *\166 + 15*\/ 249 /   *\/   - 13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          30526387260*\/ 83 *\166 + 15*\/ 249 /   *\/   - 13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         429518166195*\/ 83 *\/  166 + 15*\/ 249  *\/   - 13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 3095212546690*\/ 3 *\/ 83 *\/   - 13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          2490*t*\/ 3 *\/  166 + 15*\/ 249  *\/   - 13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 27226123670*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 13373143*\/  166 + 15*\/ 249   + 9258698*83    - 845880*\/ 249 *\/  166 + 15*\/ 249   + 48716175*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |
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                                                                     6*\/   - 280836003*\/  166 + 15*\/ 249   + 194432658*83    - 17763480*\/ 249 *\/  166 + 15*\/ 249   + 22925388*\/ 83 *\166 + 15*\/ 249 /    + 1023039675*\/ 3 *\/ 83  + 1450080*\/ 3 *83   *\166 + 15*\/ 249 /    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           ___ 6 ____            ___   5/6 /           _____\                        5/6   /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                       ___ 3 ____   /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                    ____ /           _____\      /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                     ___ /           _____\      /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                    6 ____ 3 /            _____    /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                     ___   2/3 3 /            _____    /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\              6 ____   /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\           5/6 /           _____\      /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\            ____ 3 /            _____    /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                        5/6   /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                       ___ 3 ____   /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                    ____ /           _____\      /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                     ___ /           _____\      /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                    6 ____ 3 /            _____    /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\                     ___   2/3 3 /            _____    /             3 /            _____               2/3             _____ 3 /            _____            3 ____ /           _____\                  ___ 6 ____            ___   5/6 /           _____\    |
 |        t + 2*t                   |   /   1    15*\/ 249                  7             |    |  26            \                              \/    332     55112    /                7                    \/    332     55112    |     |  \/    2656      440896                    21              |    | 2     |                                                         5445224734*83                                                                                                          32110597859*\/  166 + 15*\/ 249                                                                                                      28634544413*\/ 3 *\/ 83                                                                                                 1536943868*\/ 83 *\166 + 15*\/ 249 /                                                                                            2035092484*\/ 249 *\/  166 + 15*\/ 249                                                                                         97432350*\/ 3 *83   *\166 + 15*\/ 249 /                                            |                                                                                                                                              105740603935998541856515642596*\166 + 15*\/ 249 /                                                                                                                                                                                                                                                                                                  1728926916823729604340359128962*\/ 83                                                                                                                                                                                                                                                                                             76960928300708195603377237944*83   *\/  166 + 15*\/ 249                                                                                                                                                                                                                                                                                     6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /                                                                                                                                                                                                                                                                                             109566291457651641521548266028*\/ 3 *83                                                                                                                                                                                                                                                                                         404807654838127990301836664842*\/ 3 *\/ 83 *\/  166 + 15*\/ 249                                                                                                                                      |                                                                                                                                                                                                                          \- 208833617608*83   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     - 1098381987360*\/ 3 *\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 9537383434*\/ 83 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 50151758565*\/ 3 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 460141753733*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 29162334360*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /       - 208833617608*83   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     - 1098381987360*\/ 3 *\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 9537383434*\/ 83 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 50151758565*\/ 3 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 460141753733*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 29162334360*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /       - 208833617608*83   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     - 1098381987360*\/ 3 *\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 9537383434*\/ 83 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 50151758565*\/ 3 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 460141753733*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 29162334360*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /       - 208833617608*83   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     - 1098381987360*\/ 3 *\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 9537383434*\/ 83 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 50151758565*\/ 3 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 460141753733*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 29162334360*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /       - 208833617608*83   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     - 1098381987360*\/ 3 *\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 9537383434*\/ 83 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 50151758565*\/ 3 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 460141753733*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 29162334360*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /       - 2324*\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 4*83   *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 83*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /       - 208833617608*83   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     - 1098381987360*\/ 3 *\/ 83 *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 9537383434*\/ 83 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 50151758565*\/ 3 *\166 + 15*\/ 249 /   *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 460141753733*\/ 83 *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /     + 29162334360*\/ 3 *83   *\/  166 + 15*\/ 249  *\/   - 93612001*\/  166 + 15*\/ 249   + 64810886*83    - 5921160*\/ 249 *\/  166 + 15*\/ 249   + 7641796*\/ 83 *\166 + 15*\/ 249 /    + 341013225*\/ 3 *\/ 83  + 483360*\/ 3 *83   *\166 + 15*\/ 249 /    /
 | --------------------- dt = C - 3*|3 /   --- + ----------  - ---------------------------|*log|- -- + t - ------------------------------------------------------------- - -------------------------- + ---------------------------| - 3*|- ------------------------- + ------------------------------|*log|t  + t*|- ----------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------- - ----------------------------------------------------------------------------------------------------------------------------- + ----------------------------------------------------------------------------------------------------------------------------- - 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 |    3      2                      |\/    332     55112                __________________|    |  45                                     45                                        __________________                45            |     |              3                         ____________________|    |       |                                       __________________                                                    __________________                                        __________________                                                    __________________                                        __________________                                                    __________________                                        __________________                                                    __________________                                        __________________                                                    __________________                                        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 | - t  - 2*t  - 3*t + 2            |                                  /            _____ |    |                                                                                  /            _____                               |     |                                       /              _____ |    |       |                  2/3               3 /            _____                  ___ 6 ____                _____ 3 /            _____                    2/3               3 /            _____                  ___ 6 ____                _____ 3 /            _____                    2/3               3 /            _____                  ___ 6 ____                _____ 3 /            _____                    2/3               3 /            _____                  ___ 6 ____                _____ 3 /            _____                    2/3               3 /            _____                  ___ 6 ____                _____ 3 /            _____                    2/3               3 /            _____                  ___ 6 ____                _____ 3 /            _____ |                                     3 ____                                  /           _____\                                       ___   5/6                                  _____ /           _____\                                      2/3 3 /            _____                                     ___ 6 ____ 3 /            _____                                      3 ____                                  /           _____\                                       ___   5/6                                  _____ /           _____\                                      2/3 3 /            _____                                     ___ 6 ____ 3 /            _____                                      3 ____                                  /           _____\                                       ___   5/6                                  _____ /           _____\                                      2/3 3 /            _____                                     ___ 6 ____ 3 /            _____                                      3 ____                                  /           _____\                                       ___   5/6                                  _____ /           _____\                                      2/3 3 /            _____                                     ___ 6 ____ 3 /            _____                                      3 ____                                  /           _____\                                       ___   5/6                                  _____ /           _____\                                      2/3 3 /            _____                                     ___ 6 ____ 3 /            _____                                      3 ____                                  /           _____\                                       ___   5/6                                  _____ /           _____\                                      2/3 3 /            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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /                  __________________                                             __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 
 |                                  |                                 /   1    15*\/ 249  |    |                                                                                 /   1    15*\/ 249                                |     |                                      /   27    405*\/ 249  |    \       \  - 11187515229*83    + 16137910614*\/  166 + 15*\/ 249   - 58841892180*\/ 3 *\/ 83  + 1023039675*\/ 249 *\/  166 + 15*\/ 249     - 11187515229*83    + 16137910614*\/  166 + 15*\/ 249   - 58841892180*\/ 3 *\/ 83  + 1023039675*\/ 249 *\/  166 + 15*\/ 249     - 11187515229*83    + 16137910614*\/  166 + 15*\/ 249   - 58841892180*\/ 3 *\/ 83  + 1023039675*\/ 249 *\/  166 + 15*\/ 249     - 11187515229*83    + 16137910614*\/  166 + 15*\/ 249   - 58841892180*\/ 3 *\/ 83  + 1023039675*\/ 249 *\/  166 + 15*\/ 249     - 11187515229*83    + 16137910614*\/  166 + 15*\/ 249   - 58841892180*\/ 3 *\/ 83  + 1023039675*\/ 249 *\/  166 + 15*\/ 249     - 11187515229*83    + 16137910614*\/  166 + 15*\/ 249   - 58841892180*\/ 3 *\/ 83  + 1023039675*\/ 249 *\/  166 + 15*\/ 249  /   - 2693396686462464204007861582458*\/ 83  + 105740603935998541856515642596*\166 + 15*\/ 249 /    - 170687079649402525331573110065*\/ 3 *83    + 6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /    + 46818881863228270038878914041*83   *\/  166 + 15*\/ 249   + 246263164798696813368914029920*\/ 3 *\/ 83 *\/  166 + 15*\/ 249     - 2693396686462464204007861582458*\/ 83  + 105740603935998541856515642596*\166 + 15*\/ 249 /    - 170687079649402525331573110065*\/ 3 *83    + 6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /    + 46818881863228270038878914041*83   *\/  166 + 15*\/ 249   + 246263164798696813368914029920*\/ 3 *\/ 83 *\/  166 + 15*\/ 249     - 2693396686462464204007861582458*\/ 83  + 105740603935998541856515642596*\166 + 15*\/ 249 /    - 170687079649402525331573110065*\/ 3 *83    + 6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /    + 46818881863228270038878914041*83   *\/  166 + 15*\/ 249   + 246263164798696813368914029920*\/ 3 *\/ 83 *\/  166 + 15*\/ 249     - 2693396686462464204007861582458*\/ 83  + 105740603935998541856515642596*\166 + 15*\/ 249 /    - 170687079649402525331573110065*\/ 3 *83    + 6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /    + 46818881863228270038878914041*83   *\/  166 + 15*\/ 249   + 246263164798696813368914029920*\/ 3 *\/ 83 *\/  166 + 15*\/ 249     - 2693396686462464204007861582458*\/ 83  + 105740603935998541856515642596*\166 + 15*\/ 249 /    - 170687079649402525331573110065*\/ 3 *83    + 6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /    + 46818881863228270038878914041*83   *\/  166 + 15*\/ 249   + 246263164798696813368914029920*\/ 3 *\/ 83 *\/  166 + 15*\/ 249     - 2693396686462464204007861582458*\/ 83  + 105740603935998541856515642596*\166 + 15*\/ 249 /    - 170687079649402525331573110065*\/ 3 *83    + 6701038497923722812759565440*\/ 249 *\166 + 15*\/ 249 /    + 46818881863228270038878914041*83   *\/  166 + 15*\/ 249   + 246263164798696813368914029920*\/ 3 *\/ 83 *\/  166 + 15*\/ 249  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          /                3 /            _____                  2/3                _____ 3 /            _____                  ___ 6 ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
/                                   |                          332*3 /   --- + ---------- |    |                                                                           90*3 /   --- + ----------                               |     |                              1328*3 /   ---- + ----------- |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \/   - 17759533904*\/  166 + 15*\/ 249   + 12295550944*83    - 1123328640*\/ 249 *\/  166 + 15*\/ 249   + 64695080400*\/ 3 *\/ 83                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       
                                    \                              \/    332     55112    /    \                                                                              \/    332     55112                                  /     \                                   \/    2656      440896   /

$$\int \frac{t + 2 t}{\left(- 3 t + \left(- t^{3} - 2 t^{2}\right)\right) + 2}\, dt = C - 3 \left(- \frac{7}{332 \sqrt[3]{\frac{1}{332} + \frac{15 \sqrt{249}}{55112}}} + \sqrt[3]{\frac{1}{332} + \frac{15 \sqrt{249}}{55112}}\right) \log{\left(t - \frac{26}{45} - \frac{7}{90 \sqrt[3]{\frac{1}{332} + \frac{15 \sqrt{249}}{55112}}} - \frac{1328 \left(- \frac{7}{332 \sqrt[3]{\frac{1}{332} + \frac{15 \sqrt{249}}{55112}}} + \sqrt[3]{\frac{1}{332} + \frac{15 \sqrt{249}}{55112}}\right)^{2}}{45} + \frac{166 \sqrt[3]{\frac{1}{332} + \frac{15 \sqrt{249}}{55112}}}{45} \right)} - 3 \left(- \frac{\sqrt[3]{\frac{27}{2656} + \frac{405 \sqrt{249}}{440896}}}{3} + \frac{21}{1328 \sqrt[3]{\frac{27}{2656} + \frac{405 \sqrt{249}}{440896}}}\right) \log{\left(t^{2} + t \left(\frac{2035092484 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}}{- 11187515229 \cdot 83^{\frac{2}{3}} - 58841892180 \sqrt{3} \sqrt[6]{83} + 16137910614 \sqrt[3]{166 + 15 \sqrt{249}} + 1023039675 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}} + \frac{32110597859 \sqrt[3]{166 + 15 \sqrt{249}}}{- 11187515229 \cdot 83^{\frac{2}{3}} - 58841892180 \sqrt{3} \sqrt[6]{83} + 16137910614 \sqrt[3]{166 + 15 \sqrt{249}} + 1023039675 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}} - \frac{28634544413 \sqrt{3} \sqrt[6]{83}}{- 11187515229 \cdot 83^{\frac{2}{3}} - 58841892180 \sqrt{3} \sqrt[6]{83} + 16137910614 \sqrt[3]{166 + 15 \sqrt{249}} + 1023039675 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}} - \frac{5445224734 \cdot 83^{\frac{2}{3}}}{- 11187515229 \cdot 83^{\frac{2}{3}} - 58841892180 \sqrt{3} \sqrt[6]{83} + 16137910614 \sqrt[3]{166 + 15 \sqrt{249}} + 1023039675 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}} - \frac{1536943868 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}{- 11187515229 \cdot 83^{\frac{2}{3}} - 58841892180 \sqrt{3} \sqrt[6]{83} + 16137910614 \sqrt[3]{166 + 15 \sqrt{249}} + 1023039675 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}} - \frac{97432350 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}{- 11187515229 \cdot 83^{\frac{2}{3}} - 58841892180 \sqrt{3} \sqrt[6]{83} + 16137910614 \sqrt[3]{166 + 15 \sqrt{249}} + 1023039675 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}}}\right) - \frac{76960928300708195603377237944 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}}{- 170687079649402525331573110065 \sqrt{3} \cdot 83^{\frac{5}{6}} - 2693396686462464204007861582458 \sqrt[3]{83} + 6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 246263164798696813368914029920 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} + 46818881863228270038878914041 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}} - \frac{404807654838127990301836664842 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}}}{- 170687079649402525331573110065 \sqrt{3} \cdot 83^{\frac{5}{6}} - 2693396686462464204007861582458 \sqrt[3]{83} + 6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 246263164798696813368914029920 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} + 46818881863228270038878914041 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}} + \frac{6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}{- 170687079649402525331573110065 \sqrt{3} \cdot 83^{\frac{5}{6}} - 2693396686462464204007861582458 \sqrt[3]{83} + 6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 246263164798696813368914029920 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} + 46818881863228270038878914041 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}} + \frac{105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}{- 170687079649402525331573110065 \sqrt{3} \cdot 83^{\frac{5}{6}} - 2693396686462464204007861582458 \sqrt[3]{83} + 6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 246263164798696813368914029920 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} + 46818881863228270038878914041 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}} + \frac{1728926916823729604340359128962 \sqrt[3]{83}}{- 170687079649402525331573110065 \sqrt{3} \cdot 83^{\frac{5}{6}} - 2693396686462464204007861582458 \sqrt[3]{83} + 6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 246263164798696813368914029920 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} + 46818881863228270038878914041 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}} + \frac{109566291457651641521548266028 \sqrt{3} \cdot 83^{\frac{5}{6}}}{- 170687079649402525331573110065 \sqrt{3} \cdot 83^{\frac{5}{6}} - 2693396686462464204007861582458 \sqrt[3]{83} + 6701038497923722812759565440 \sqrt{249} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 105740603935998541856515642596 \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 246263164798696813368914029920 \sqrt{3} \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} + 46818881863228270038878914041 \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}}} \right)} - \frac{6 \sqrt{- 280836003 \sqrt[3]{166 + 15 \sqrt{249}} - 17763480 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 194432658 \cdot 83^{\frac{2}{3}} + 1023039675 \sqrt{3} \sqrt[6]{83} + 1450080 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 22925388 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} \operatorname{atan}{\left(\frac{2490 \sqrt{3} t \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 2324 \sqrt[6]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 83 \sqrt{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 4 \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} - \frac{30526387260 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 208833617608 \cdot 83^{\frac{5}{6}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} - 1098381987360 \sqrt{3} \sqrt[3]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 50151758565 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 9537383434 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 460141753733 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 29162334360 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} - \frac{160552989295 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 208833617608 \cdot 83^{\frac{5}{6}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} - 1098381987360 \sqrt{3} \sqrt[3]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 50151758565 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 9537383434 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 460141753733 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 29162334360 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} + \frac{429518166195 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 208833617608 \cdot 83^{\frac{5}{6}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} - 1098381987360 \sqrt{3} \sqrt[3]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 50151758565 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 9537383434 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 460141753733 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 29162334360 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} + \frac{27226123670 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 208833617608 \cdot 83^{\frac{5}{6}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} - 1098381987360 \sqrt{3} \sqrt[3]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 50151758565 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 9537383434 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 460141753733 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 29162334360 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} + \frac{588418921800 \cdot 83^{\frac{5}{6}} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 208833617608 \cdot 83^{\frac{5}{6}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} - 1098381987360 \sqrt{3} \sqrt[3]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 50151758565 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 9537383434 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 460141753733 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 29162334360 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} + \frac{3095212546690 \sqrt{3} \sqrt[3]{83} \sqrt{- 13373143 \sqrt[3]{166 + 15 \sqrt{249}} - 845880 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 9258698 \cdot 83^{\frac{2}{3}} + 48716175 \sqrt{3} \sqrt[6]{83}}}{- 208833617608 \cdot 83^{\frac{5}{6}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} - 1098381987360 \sqrt{3} \sqrt[3]{83} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 50151758565 \sqrt{3} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 9537383434 \sqrt{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 460141753733 \sqrt[6]{83} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}} + 29162334360 \sqrt{3} \cdot 83^{\frac{2}{3}} \sqrt[3]{166 + 15 \sqrt{249}} \sqrt{- 93612001 \sqrt[3]{166 + 15 \sqrt{249}} - 5921160 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 64810886 \cdot 83^{\frac{2}{3}} + 341013225 \sqrt{3} \sqrt[6]{83} + 483360 \sqrt{3} \cdot 83^{\frac{5}{6}} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}} + 7641796 \sqrt[3]{83} \left(166 + 15 \sqrt{249}\right)^{\frac{2}{3}}}} \right)}}{\sqrt{- 17759533904 \sqrt[3]{166 + 15 \sqrt{249}} - 1123328640 \sqrt{249} \sqrt[3]{166 + 15 \sqrt{249}} + 12295550944 \cdot 83^{\frac{2}{3}} + 64695080400 \sqrt{3} \sqrt[6]{83}}}$$

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0.677501451476844

0.677501451476844

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Integral de (t+2t)/(-t^3-2t^2-3*t+2) dt

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Integral de (t+2*t)/(-t^3-2*t^2-3*t+2) dt

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Integral de (t+2t)/(-t^3-2t^2-3*t+2) dt