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Integral de d{x}:
Integral de (-6+9*x^2)/x^2
Integral de 3*exp(-3*x)
Integral de (3x+1)dx
Integral de √(2+x^2)
Expresiones idénticas
(2x- tres)/(x^ tres -3x+ ocho)
(2x menos 3) dividir por (x al cubo menos 3x más 8)
(2x menos tres) dividir por (x en el grado tres menos 3x más ocho)
(2x-3)/(x3-3x+8)
2x-3/x3-3x+8
(2x-3)/(x³-3x+8)
(2x-3)/(x en el grado 3-3x+8)
2x-3/x^3-3x+8
(2x-3) dividir por (x^3-3x+8)
(2x-3)/(x^3-3x+8)dx
Expresiones semejantes
(2x-3)/(x^3+3x+8)
(2x-3)/(x^3-3x-8)
(2x+3)/(x^3-3x+8)

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

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

Solución

Ha introducido [src]

  1                
  /                
 |                 
 |    2*x - 3      
 |  ------------ dx
 |   3             
 |  x  - 3*x + 8   
 |                 
/                  
0

$$\int\limits_{0}^{1} \frac{2 x - 3}{\left(x^{3} - 3 x\right) + 8}\, dx$$

Integral((2*x - 3)/(x^3 - 3*x + 8), (x, 0, 1))

Respuesta (Indefinida) [src]

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_________________________________________________    _________________     /                       ____           3 /              ____            /             ____\             6 ____ /           ____\                5/6 3 /            ____       |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  /            ____    /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /    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                                                                                                                                                                                                                                                      6 ____ 6 /            ____    /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /            ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   2/3 6 /            ____    /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /            ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        6 /            ____    /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /            ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  5/6 /           ____\      /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /            ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 3 ____ /           ____\      /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /            ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  ____   /            ____    /                   ____    /        3 /            ____           2/3        6 ____        ____ 3 /            ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 |           ____________________________________________    _______________     /                ____        3 /            ____         /           ____\         6 ____ /         ____\           5/6 3 /          ____       |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   /          ____    /             ____    /       3 /          ____         2/3       6 ____     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                                          ____   /          ____    /             ____    /       3 /          ____         2/3       6 ____       ____ 3 /          ____                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  6 /          ____    /             ____    /       3 /          ____         2/3       6 ____       ____ 3 /  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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 |                                                               2160*|- --------------------- + -------------------------| |          /                       -1                         6 /            ____     /     7380481   119102*\/ 15    7380481*\/  1800 + 465*\/ 15     7380481*\1800 + 465*\/ 15 /      119102*\/ 15 *\120 + 31*\/ 15 /      1905632*15   *\/  120 + 31*\/ 15        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   432424197615*\/  120 + 31*\/ 15  *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       432424197615*\/ 15 *\/  120 + 31*\/ 15  *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     111651447724*15   *\/  120 + 31*\/ 15  *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   310*x*\/  120 + 31*\/ 15  *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     28363186562*15   *\120 + 31*\/ 15 /   *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     109850149200*\/ 15 *\120 + 31*\/ 15 /   *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    111651447724*\/ 15 *\/  120 + 31*\/ 15  *\/  461160 + 119071*\/ 15  *\/   - 120*\/  120 + 31*\/ 15   + 1921*15    + 7440*\/ 15  - 31*\/ 15 *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  |          /                    -1                       6 /          ____     /     1921   31*\/ 15    1921*\/  225 + 60*\/ 15     1921*\225 + 60*\/ 15 /      31*\/ 15 *\15 + 4*\/ 15 /      62*15   *\/  15 + 4*\/ 15        |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          922320*\/  15 + 4*\/ 15  *\/  945 + 244*\/ 15  *\/   - 15*\/  15 + 4*\/ 15   + 31*15    + 120*\/ 15  - 4*\/ 15 *\/  15 + 4*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   238142*\/ 15 *\/  15 + 4*\/ 15  *\/  945 + 244*\/ 15  *\/   - 15*\/  15 + 4*\/ 15   + 31*15    + 120*\/ 15  - 4*\/ 15 *\/  15 + 4*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              40*x*\/  15 + 4*\/ 15  *\/  945 + 244*\/ 15  *\/   - 15*\/  15 + 4*\/ 15   + 31*15    + 120*\/ 15  - 4*\/ 15 *\/  15 + 4*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                30248*15   *\/  15 + 4*\/ 15  *\/  945 + 244*\/ 15  *\/   - 15*\/  15 + 4*\/ 15   + 31*15    + 120*\/ 15  - 4*\/ 15 *\/  15 + 4*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                117150*\/ 15 *\/  15 + 4*\/ 15  *\/  945 + 244*\/ 15  *\/   - 15*\/  15 + 4*\/ 15   + 31*15    + 120*\/ 15  - 4*\/ 15 *\/  15 + 4*\/ 15                                         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*\/  120 + 31*\/ 15  *  /    - ------- - ------------- + ------------------------------ + ------------------------------ + ---------------------------------- + ---------------------------------- 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                      \/          48           3                       3                               720                                 3                                    3                       |                              __________________________________________________________________________________________________________________________________________________________________________________________                               __________________________________________________________________________________________________________________________________________________________________________________________                                               __________________________________________________________________________________________________________________________________________________________________________________________                                               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                                                                                                                                                                                                        |                             /                                                               2/3                                    2/3                      _________________                        _________________                               /                                                               2/3                                    2/3                      _________________                        _________________                                        2/3    /                                                               2/3                                    2/3                      _________________                        _________________                                        2/3    /                                                               2/3                                    2/3                      _________________                        _________________                               _________________    /                                                               2/3                                    2/3                      _________________                        _________________                               _________________    /                                                               2/3                                    2/3                      _________________                        _________________                                 /                                                               2/3                                    2/3                      _________________                        _________________                               /                                                               2/3                                    2/3                      _________________                        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              2/3                      _________________                        _________________                               _________________    /                                                               2/3                                    2/3                      _________________                        _________________                       /                                                               2/3                                    2/3                      _________________                        _________________                _________________    /                                                               2/3                                    2/3                      _________________                        _________________                                  2/3    /                                                               2/3                                    2/3                      _________________                        _________________       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                     _________________                                        2/3    /                                                               2/3                                    2/3                      _________________                        _________________                               _________________    /                                                               2/3                                    2/3                      _________________                        _________________                               _________________    /                                                               2/3                                    2/3                      _________________                        _________________                                 /                                                               2/3                                    2/3                      _________________                        _________________                               /   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                      2/3                  _______________                   _______________                         _______________    /                                                  2/3                              2/3                  _______________                   _______________                         _______________    /                                                  2/3                              2/3                  _______________                   _______________                           /                                                  2/3                              2/3                  _______________                   _______________                         /                                                  2/3                              2/3                  _______________                   _______________                                2/3    /                                                  2/3                              2/3                  _______________                   _______________                                2/3    /                                                  2/3                              2/3                  _______________                   _______________                         _______________    /                                                  2/3                              2/3                  _______________                   _______________                         _______________    /                                                  2/3                              2/3                  _______________                   _______________                  _______________    /                                                  2/3                              2/3                  _______________                   _______________                    /                                                  2/3                              2/3                  _______________                   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 |                         |    /          ____                            |    |            |    /          ____                            |                              45*3 /   ---- + ------ |     |  3 /   --- + ------                           |    |       |                                                6 ____                                                                                          2/3                                                                                   3 /          ____                                                                            ____ 3 /          ____                              |                                                                                                                                     3 ____                                                                                                                                                                                                                                                  5/6                                                                                                                                                                                                                                          /         ____\                                                                                                                                                                                                                                      ____ /         ____\                                                                                                                                                                                                                                  2/3 3 /          ____                                                                                                                                                                                                                               6 ____ 3 /          ____                                                                                                   |     |    /             ____                                |    |                                                                                                                                                                                                                                                                                                                             |                                                               6 ____                                                                                                                  2/3                                                                                                          3 /            ____                                                                                                 5/6 /           ____\                                                                                               3 ____ /           ____\                                                                                                ____ 3 /            ____                                       |                                                                                                                                                                            ____                                                                                                                                                                                                                                                                                                    6 ____ /           ____\                                                                                                                                                                                                                                                                                                 2/3 /           ____\                                                                                                                                                                                                                                                                                                 5/6 3 /            ____                                                                                                                                                                                                                                                                                             3 ____ 3 /            ____                                                                                                                             |     |  3 /   -- + ---------                             |    |                                    30*3 /   -- + ---------         |                          180*3 /   -- + --------- | |     \/     \120 + 31*\/ 15 /    - 7440*\/ 15  - 1921*15                                                                                                                                                                                                            |                5/6 3 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  3 ___  5/6   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                   2/3 6 ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  6 ___  2/3 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                     5/6 3 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  3 ___  5/6   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                   2/3 6 ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  6 ___  2/3 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                     5/6 3 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  3 ___  5/6   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                   2/3 6 ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  6 ___  2/3 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____           2/3 6 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____          ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____       3 ___  5/6 /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                     5/6 3 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  3 ___  5/6   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                   2/3 6 ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  6 ___  2/3 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                     5/6 3 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  3 ___  5/6   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                   2/3 6 ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  6 ___  2/3 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                     5/6 3 ___   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  3 ___  5/6   /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                    ___ /           ____\      /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                   2/3 6 ___ 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____                  6 ___  2/3 3 /            ____    /                          ____             2/3 /           ____\               6 ____ /           ____\                  5/6 3 /            ____               3 ____ 3 /            ____  |     \/     \15 + 4*\/ 15 /    - 120*\/ 15  - 31*15                                                                                                                                                                            |            5/6 3 ___   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            3 ___  5/6   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____             2/3 6 ___ 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            6 ___  2/3 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____               5/6 3 ___   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            3 ___  5/6   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____             2/3 6 ___ 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            6 ___  2/3 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            ___ 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____        2/3 6 ___   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____     3 ___  5/6 /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____               5/6 3 ___   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            3 ___  5/6   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____             2/3 6 ___ 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            6 ___  2/3 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____               5/6 3 ___   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            3 ___  5/6   /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____              ___ /         ____\      /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____             2/3 6 ___ 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____            6 ___  2/3 3 /          ____    /                  ____          2/3 /         ____\           6 ____ /         ____\              5/6 3 /          ____          3 ____ 3 /          ____  |
 |   2*x - 3               |   /   1     \/ 15                1            |    |1           |   /   1     \/ 15                1            |               1                 \/    3240   12150  |     |  \/    960    3600                1           |    | 2     |                                          58575*\/ 15                                                                                   15124*15                                                                               461160*\/  15 + 4*\/ 15                                                                    119071*\/ 15 *\/  15 + 4*\/ 15                               |                                                                                                               204202758641038925040*\/ 15                                                                                                                                                                                                                            52724925564423763264*15                                                                                                                                                                                                                        46453293632180265680*\15 + 4*\/ 15 /                                                                                                                                                                                                               11994188840927814408*\/ 15 *\15 + 4*\/ 15 /                                                                                                                                                                                                           41705123431467760048*15   *\/  15 + 4*\/ 15                                                                                                                                                                                                          161523248501599353800*\/ 15 *\/  15 + 4*\/ 15                                                                                                    |     |   /   1     31*\/ 15                  1              |    | 2                                                                                                                                             5696917035878759030458446643440                                                                                                                                               |                                                   13949167665*\/ 15                                                                                                      3601659604*15                                                                                                 13949167665*\/  120 + 31*\/ 15                                                                                      914941502*15   *\120 + 31*\/ 15 /                                                                                    3543553200*\/ 15 *\120 + 31*\/ 15 /                                                                                   3601659604*\/ 15 *\/  120 + 31*\/ 15                                        |                                                                                                                                          1470937653645583665787955742720*\/ 15                                                                                                                                                                                                                                                                       48629357900106717742390166496*\/ 15 *\120 + 31*\/ 15 /                                                                                                                                                                                                                                                                 12556046218924893292193844728*15   *\120 + 31*\/ 15 /                                                                                                                                                                                                                                                                398477826928941498633234075640*15   *\/  120 + 31*\/ 15                                                                                                                                                                                                                                                              1543297987528711779289400786016*\/ 15 *\/  120 + 31*\/ 15                                                                                                                              |     |  \/    15      1800                  1            |    |8                   1                  \/    15      1800           \                              \/    15      1800   / |                                                                                                                                                                                                                                                                    \- 878572517760*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 680539345944*\/ 3 *5   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 345585002772*\/ 5 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 446148320145*\/ 3 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 418249984815*3   *\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 323975045148*\/ 3 *5   *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15      - 878572517760*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 680539345944*\/ 3 *5   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 345585002772*\/ 5 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 446148320145*\/ 3 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 418249984815*3   *\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 323975045148*\/ 3 *5   *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15      - 878572517760*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 680539345944*\/ 3 *5   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 345585002772*\/ 5 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 446148320145*\/ 3 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 418249984815*3   *\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 323975045148*\/ 3 *5   *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15      - 20*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 15*\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 4*\/ 3 *5   *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15      - 878572517760*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 680539345944*\/ 3 *5   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 345585002772*\/ 5 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 446148320145*\/ 3 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 418249984815*3   *\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 323975045148*\/ 3 *5   *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15      - 878572517760*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 680539345944*\/ 3 *5   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 345585002772*\/ 5 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 446148320145*\/ 3 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 418249984815*3   *\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 323975045148*\/ 3 *5   *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15      - 878572517760*3   *\/ 5 *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 680539345944*\/ 3 *5   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 345585002772*\/ 5 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    + 446148320145*\/ 3 *\120 + 31*\/ 15 /   *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 418249984815*3   *\/ 5 *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15    - 323975045148*\/ 3 *5   *\/  120 + 31*\/ 15  *\/   -110707215 - 28584480*\/ 15  + 7380481*15   *\120 + 31*\/ 15 /    + 28584480*\/ 15 *\120 + 31*\/ 15 /    + 457351680*15   *\/  120 + 31*\/ 15   + 1771315440*\/ 15 *\/  120 + 31*\/ 15   /                                                                                                                                                                                                                               \  - 461160*3   *\/ 5 *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 357213*\/ 3 *5   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 266469*\/ 5 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 344010*\/ 3 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 863745*3   *\/ 5 *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 669054*\/ 3 *5   *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15      - 461160*3   *\/ 5 *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 357213*\/ 3 *5   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 266469*\/ 5 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 344010*\/ 3 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 863745*3   *\/ 5 *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 669054*\/ 3 *5   *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15      - 15*\/ 5 *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 5*3   *\/ 5 *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + \/ 3 *5   *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15      - 461160*3   *\/ 5 *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 357213*\/ 3 *5   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 266469*\/ 5 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 344010*\/ 3 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 863745*3   *\/ 5 *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 669054*\/ 3 *5   *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15      - 461160*3   *\/ 5 *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 357213*\/ 3 *5   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 266469*\/ 5 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    + 344010*\/ 3 *\15 + 4*\/ 15 /   *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 863745*3   *\/ 5 *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15    - 669054*\/ 3 *5   *\/  15 + 4*\/ 15  *\/   -28815 - 7440*\/ 15  + 1921*15   *\15 + 4*\/ 15 /    + 7440*\/ 15 *\15 + 4*\/ 15 /    + 14880*15   *\/  15 + 4*\/ 15   + 57630*\/ 15 *\/  15 + 4*\/ 15   /
 | ------------ dx = C - 3*|3 /   ---- + ------  - ------------------------|*log|- + x + 135*|3 /   ---- + ------  - ------------------------|  - ----------------------- + -----------------------| - 3*|- ------------------- + -----------------------|*log|x  + x*|- ------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 2*|3 /   ---- + ---------  - ----------------------------|*log|x  - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + x*|- ------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------| - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------| + 2*|- --------------------- + -------------------------|*log|-- + x - ------------------------ + ------------------------ + -----------------------------------------------------------| - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 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 |  3                      |\/    3240   12150              _______________|    |2           |\/    3240   12150              _______________|            _______________              2           |     |           3                     ______________|    |       |                                            _______________                   _______________                                             _______________                   _______________                                             _______________                   _______________                                             _______________                   _______________|                                                                                                   2/3                                  _______________                                _______________                                             2/3                                                                                                   2/3                                  _______________                                _______________                                             2/3                                                                                                   2/3                                  _______________                                _______________                                             2/3                                                                                                   2/3                                  _______________                                _______________                                             2/3                                                                                                   2/3                                  _______________                                _______________                                             2/3                                                                                                   2/3                                  _______________                                _______________                                             2/3|     |\/    3240     388800               __________________|    |                                                                                                                        _________________                                          _________________                                                      2/3                                                        2/3     |                                                            _________________                       _________________                                                             _________________                       _________________                                                             _________________                       _________________                                                             _________________                       _________________                                                             _________________                       _________________                                                             _________________                       _________________|                                                                                                                      _________________                                          _________________                                                      2/3                                                        2/3                                                                                                                      _________________                                          _________________                                                      2/3                                                        2/3                                                                                                                      _________________                                          _________________                                                      2/3                                                        2/3                                                                                                                      _________________                                          _________________                                                      2/3                                                        2/3                                                                                                                      _________________                                          _________________                                                      2/3                                                        2/3|     |            3                      ________________|    |31               ________________              31                                           31                            |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        ________________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              __________________                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
 | x  - 3*x + 8            |                               /          ____ |    |            |                               /          ____ |           /          ____                           |     |                                /         ____ |    |       |           6 ____            2/3         3 /          ____            ____ 3 /          ____             6 ____            2/3         3 /          ____            ____ 3 /          ____             6 ____            2/3         3 /          ____            ____ 3 /          ____             6 ____            2/3         3 /          ____            ____ 3 /          ____ |                          3 ____                         5/6                        /         ____\                           6 ____ 3 /          ____                          2/3 3 /          ____                          ____ /         ____\                             3 ____                         5/6                        /         ____\                           6 ____ 3 /          ____                          2/3 3 /          ____                          ____ /         ____\                             3 ____                         5/6                        /         ____\                           6 ____ 3 /          ____                          2/3 3 /          ____                          ____ /         ____\                             3 ____                         5/6                        /         ____\                           6 ____ 3 /          ____                          2/3 3 /          ____                          ____ /         ____\                             3 ____                         5/6                        /         ____\                           6 ____ 3 /          ____                          2/3 3 /          ____                          ____ /         ____\                             3 ____                         5/6                        /         ____\                           6 ____ 3 /          ____                          2/3 3 /          ____                          ____ /         ____\   |     |                                   /             ____ |    |                                                                         ____                                 3 ____ 3 /            ____                                    5/6 3 /            ____                                  2/3 /           ____\                                   6 ____ /           ____\        |                 6 ____                 2/3              3 /            ____                ____ 3 /            ____                   6 ____                 2/3              3 /            ____                ____ 3 /            ____                   6 ____                 2/3              3 /            ____                ____ 3 /            ____                   6 ____                 2/3              3 /            ____                ____ 3 /            ____                   6 ____                 2/3              3 /            ____                ____ 3 /            ____                   6 ____                 2/3              3 /            ____                ____ 3 /            ____ |                                                                       ____                                 3 ____ 3 /            ____                                    5/6 3 /            ____                                  2/3 /           ____\                                   6 ____ /           ____\                                                                          ____                                 3 ____ 3 /            ____                                    5/6 3 /            ____                                  2/3 /           ____\                                   6 ____ /           ____\                                                                          ____                                 3 ____ 3 /            ____                                    5/6 3 /            ____                                  2/3 /           ____\                                   6 ____ /           ____\                                                                          ____                                 3 ____ 3 /            ____                                    5/6 3 /            ____                                  2/3 /           ____\                                   6 ____ /           ____\                                                                          ____                                 3 ____ 3 /            ____                                    5/6 3 /            ____                                  2/3 /           ____\                                   6 ____ /           ____\   |     |                                  /           ____ |    |                /           ____                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       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                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              
 |                         |                              /   1     \/ 15  |    |            |                              /   1     \/ 15  |          /   1     \/ 15                            |     |                               /   1    \/ 15  |    \       \  - 461160*\/ 15  - 119071*15    + 58575*\/  15 + 4*\/ 15   + 15124*\/ 15 *\/  15 + 4*\/ 15     - 461160*\/ 15  - 119071*15    + 58575*\/  15 + 4*\/ 15   + 15124*\/ 15 *\/  15 + 4*\/ 15     - 461160*\/ 15  - 119071*15    + 58575*\/  15 + 4*\/ 15   + 15124*\/ 15 *\/  15 + 4*\/ 15     - 461160*\/ 15  - 119071*15    + 58575*\/  15 + 4*\/ 15   + 15124*\/ 15 *\/  15 + 4*\/ 15  /   - 25525344830129865630*\/ 15  - 6590615695552970408*15    + 16948262175475012825*\15 + 4*\/ 15 /    - 31332006534152398840*\/ 15 *\/  15 + 4*\/ 15   - 8089889300668947209*15   *\/  15 + 4*\/ 15   + 4376022476851454004*\/ 15 *\15 + 4*\/ 15 /      - 25525344830129865630*\/ 15  - 6590615695552970408*15    + 16948262175475012825*\15 + 4*\/ 15 /    - 31332006534152398840*\/ 15 *\/  15 + 4*\/ 15   - 8089889300668947209*15   *\/  15 + 4*\/ 15   + 4376022476851454004*\/ 15 *\15 + 4*\/ 15 /      - 25525344830129865630*\/ 15  - 6590615695552970408*15    + 16948262175475012825*\15 + 4*\/ 15 /    - 31332006534152398840*\/ 15 *\/  15 + 4*\/ 15   - 8089889300668947209*15   *\/  15 + 4*\/ 15   + 4376022476851454004*\/ 15 *\15 + 4*\/ 15 /      - 25525344830129865630*\/ 15  - 6590615695552970408*15    + 16948262175475012825*\15 + 4*\/ 15 /    - 31332006534152398840*\/ 15 *\/  15 + 4*\/ 15   - 8089889300668947209*15   *\/  15 + 4*\/ 15   + 4376022476851454004*\/ 15 *\15 + 4*\/ 15 /      - 25525344830129865630*\/ 15  - 6590615695552970408*15    + 16948262175475012825*\15 + 4*\/ 15 /    - 31332006534152398840*\/ 15 *\/  15 + 4*\/ 15   - 8089889300668947209*15   *\/  15 + 4*\/ 15   + 4376022476851454004*\/ 15 *\15 + 4*\/ 15 /      - 25525344830129865630*\/ 15  - 6590615695552970408*15    + 16948262175475012825*\15 + 4*\/ 15 /    - 31332006534152398840*\/ 15 *\/  15 + 4*\/ 15   - 8089889300668947209*15   *\/  15 + 4*\/ 15   + 4376022476851454004*\/ 15 *\15 + 4*\/ 15 /   /     |                                  /   1     31*\/ 15  |    \     5696917035878759030458446643440 + 1470937653645583665787955742720*\/ 15  - 71211462948484487880730583043*\/ 15 *\/  120 + 31*\/ 15   - 18386720670569795822349446784*15   *\/  120 + 31*\/ 15   + 296637199787767446988185960*15   *\120 + 31*\/ 15 /    + 1148870934643625620714460253*\/ 15 *\120 + 31*\/ 15 /        \  - 109821564720*\/ 15  - 28355806081*15    + 1771776600*\/  120 + 31*\/ 15   + 457470751*\/ 15 *\/  120 + 31*\/ 15     - 109821564720*\/ 15  - 28355806081*15    + 1771776600*\/  120 + 31*\/ 15   + 457470751*\/ 15 *\/  120 + 31*\/ 15     - 109821564720*\/ 15  - 28355806081*15    + 1771776600*\/  120 + 31*\/ 15   + 457470751*\/ 15 *\/  120 + 31*\/ 15     - 109821564720*\/ 15  - 28355806081*15    + 1771776600*\/  120 + 31*\/ 15   + 457470751*\/ 15 *\/  120 + 31*\/ 15     - 109821564720*\/ 15  - 28355806081*15    + 1771776600*\/  120 + 31*\/ 15   + 457470751*\/ 15 *\/  120 + 31*\/ 15     - 109821564720*\/ 15  - 28355806081*15    + 1771776600*\/  120 + 31*\/ 15   + 457470751*\/ 15 *\/  120 + 31*\/ 15  /   5696917035878759030458446643440 + 1470937653645583665787955742720*\/ 15  - 71211462948484487880730583043*\/ 15 *\/  120 + 31*\/ 15   - 18386720670569795822349446784*15   *\/  120 + 31*\/ 15   + 296637199787767446988185960*15   *\120 + 31*\/ 15 /    + 1148870934643625620714460253*\/ 15 *\120 + 31*\/ 15 /      5696917035878759030458446643440 + 1470937653645583665787955742720*\/ 15  - 71211462948484487880730583043*\/ 15 *\/  120 + 31*\/ 15   - 18386720670569795822349446784*15   *\/  120 + 31*\/ 15   + 296637199787767446988185960*15   *\120 + 31*\/ 15 /    + 1148870934643625620714460253*\/ 15 *\120 + 31*\/ 15 /      5696917035878759030458446643440 + 1470937653645583665787955742720*\/ 15  - 71211462948484487880730583043*\/ 15 *\/  120 + 31*\/ 15   - 18386720670569795822349446784*15   *\/  120 + 31*\/ 15   + 296637199787767446988185960*15   *\120 + 31*\/ 15 /    + 1148870934643625620714460253*\/ 15 *\120 + 31*\/ 15 /      5696917035878759030458446643440 + 1470937653645583665787955742720*\/ 15  - 71211462948484487880730583043*\/ 15 *\/  120 + 31*\/ 15   - 18386720670569795822349446784*15   *\/  120 + 31*\/ 15   + 296637199787767446988185960*15   *\120 + 31*\/ 15 /    + 1148870934643625620714460253*\/ 15 *\120 + 31*\/ 15 /      5696917035878759030458446643440 + 1470937653645583665787955742720*\/ 15  - 71211462948484487880730583043*\/ 15 *\/  120 + 31*\/ 15   - 18386720670569795822349446784*15   *\/  120 + 31*\/ 15   + 296637199787767446988185960*15   *\120 + 31*\/ 15 /    + 1148870934643625620714460253*\/ 15 *\120 + 31*\/ 15 /   /     |                                 /  1    31*\/ 15  |    |               /  1    31*\/ 15                                                                                           |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \/  461160 + 119071*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \/  945 + 244*\/ 15                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        
/                          |                       540*3 /   ---- + ------ |    |            |                       540*3 /   ---- + ------ |    24*3 /   ---- + ------                           |     |                        720*3 /   --- + ------ |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               |                          2160*3 /   ---- + --------- |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           |                          180*3 /   -- + --------- |    |         62*3 /   -- + ---------                                                                                          |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
                           \                           \/    3240   12150  /    \            \                           \/    3240   12150  /       \/    3240   12150                            /     \                            \/    960    3600  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \                               \/    3240     388800  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \                              \/    15      1800   /    \            \/    15      1800                                                                                            /

$$\int \frac{2 x - 3}{\left(x^{3} - 3 x\right) + 8}\, dx = C - 3 \left(- \frac{1}{540 \sqrt[3]{\frac{1}{3240} + \frac{\sqrt{15}}{12150}}} + \sqrt[3]{\frac{1}{3240} + \frac{\sqrt{15}}{12150}}\right) \log{\left(x - \frac{1}{24 \sqrt[3]{\frac{1}{3240} + \frac{\sqrt{15}}{12150}}} + \frac{1}{2} + 135 \left(- \frac{1}{540 \sqrt[3]{\frac{1}{3240} + \frac{\sqrt{15}}{12150}}} + \sqrt[3]{\frac{1}{3240} + \frac{\sqrt{15}}{12150}}\right)^{2} + \frac{45 \sqrt[3]{\frac{1}{3240} + \frac{\sqrt{15}}{12150}}}{2} \right)} + 2 \left(- \frac{\sqrt[3]{\frac{1}{15} + \frac{31 \sqrt{15}}{1800}}}{3} + \frac{1}{180 \sqrt[3]{\frac{1}{15} + \frac{31 \sqrt{15}}{1800}}}\right) \log{\left(x - \frac{1}{62 \sqrt[3]{\frac{1}{15} + \frac{31 \sqrt{15}}{1800}}} + \frac{8}{31} + \frac{30 \sqrt[3]{\frac{1}{15} + \frac{31 \sqrt{15}}{1800}}}{31} + \frac{2160 \left(- \frac{\sqrt[3]{\frac{1}{15} + \frac{31 \sqrt{15}}{1800}}}{3} + \frac{1}{180 \sqrt[3]{\frac{1}{15} + \frac{31 \sqrt{15}}{1800}}}\right)^{2}}{31} \right)} - 3 \left(- \frac{\sqrt[3]{\frac{1}{960} + \frac{\sqrt{15}}{3600}}}{3} + \frac{1}{720 \sqrt[3]{\frac{1}{960} + \frac{\sqrt{15}}{3600}}}\right) \log{\left(x^{2} + x \left(\frac{119071 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}}}{- 119071 \cdot 15^{\frac{2}{3}} - 461160 \sqrt[6]{15} + 58575 \sqrt[3]{15 + 4 \sqrt{15}} + 15124 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}}} + \frac{461160 \sqrt[3]{15 + 4 \sqrt{15}}}{- 119071 \cdot 15^{\frac{2}{3}} - 461160 \sqrt[6]{15} + 58575 \sqrt[3]{15 + 4 \sqrt{15}} + 15124 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}}} - \frac{58575 \sqrt[6]{15}}{- 119071 \cdot 15^{\frac{2}{3}} - 461160 \sqrt[6]{15} + 58575 \sqrt[3]{15 + 4 \sqrt{15}} + 15124 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}}} - \frac{15124 \cdot 15^{\frac{2}{3}}}{- 119071 \cdot 15^{\frac{2}{3}} - 461160 \sqrt[6]{15} + 58575 \sqrt[3]{15 + 4 \sqrt{15}} + 15124 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}}}\right) + \frac{41705123431467760048 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}}}{- 8089889300668947209 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} - 31332006534152398840 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}} - 25525344830129865630 \sqrt[3]{15} - 6590615695552970408 \cdot 15^{\frac{5}{6}} + 16948262175475012825 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 4376022476851454004 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}} + \frac{161523248501599353800 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}}}{- 8089889300668947209 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} - 31332006534152398840 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}} - 25525344830129865630 \sqrt[3]{15} - 6590615695552970408 \cdot 15^{\frac{5}{6}} + 16948262175475012825 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 4376022476851454004 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}} - \frac{46453293632180265680 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}}{- 8089889300668947209 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} - 31332006534152398840 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}} - 25525344830129865630 \sqrt[3]{15} - 6590615695552970408 \cdot 15^{\frac{5}{6}} + 16948262175475012825 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 4376022476851454004 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}} - \frac{11994188840927814408 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}}{- 8089889300668947209 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} - 31332006534152398840 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}} - 25525344830129865630 \sqrt[3]{15} - 6590615695552970408 \cdot 15^{\frac{5}{6}} + 16948262175475012825 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 4376022476851454004 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}} - \frac{204202758641038925040 \sqrt[3]{15}}{- 8089889300668947209 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} - 31332006534152398840 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}} - 25525344830129865630 \sqrt[3]{15} - 6590615695552970408 \cdot 15^{\frac{5}{6}} + 16948262175475012825 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 4376022476851454004 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}} - \frac{52724925564423763264 \cdot 15^{\frac{5}{6}}}{- 8089889300668947209 \cdot 15^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} - 31332006534152398840 \sqrt[6]{15} \sqrt[3]{15 + 4 \sqrt{15}} - 25525344830129865630 \sqrt[3]{15} - 6590615695552970408 \cdot 15^{\frac{5}{6}} + 16948262175475012825 \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 4376022476851454004 \sqrt{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}} \right)} + 2 \left(- \frac{1}{2160 \sqrt[3]{\frac{1}{3240} + \frac{31 \sqrt{15}}{388800}}} + \sqrt[3]{\frac{1}{3240} + \frac{31 \sqrt{15}}{388800}}\right) \log{\left(x^{2} + x \left(\frac{914941502 \cdot 15^{\frac{5}{6}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}}}{- 109821564720 \sqrt[6]{15} - 28355806081 \cdot 15^{\frac{2}{3}} + 1771776600 \sqrt[3]{120 + 31 \sqrt{15}} + 457470751 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}} + \frac{3543553200 \sqrt[3]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}}}{- 109821564720 \sqrt[6]{15} - 28355806081 \cdot 15^{\frac{2}{3}} + 1771776600 \sqrt[3]{120 + 31 \sqrt{15}} + 457470751 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}} + \frac{13949167665 \sqrt[3]{120 + 31 \sqrt{15}}}{- 109821564720 \sqrt[6]{15} - 28355806081 \cdot 15^{\frac{2}{3}} + 1771776600 \sqrt[3]{120 + 31 \sqrt{15}} + 457470751 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}} + \frac{3601659604 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}}{- 109821564720 \sqrt[6]{15} - 28355806081 \cdot 15^{\frac{2}{3}} + 1771776600 \sqrt[3]{120 + 31 \sqrt{15}} + 457470751 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}} - \frac{13949167665 \sqrt[6]{15}}{- 109821564720 \sqrt[6]{15} - 28355806081 \cdot 15^{\frac{2}{3}} + 1771776600 \sqrt[3]{120 + 31 \sqrt{15}} + 457470751 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}} - \frac{3601659604 \cdot 15^{\frac{2}{3}}}{- 109821564720 \sqrt[6]{15} - 28355806081 \cdot 15^{\frac{2}{3}} + 1771776600 \sqrt[3]{120 + 31 \sqrt{15}} + 457470751 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}}}\right) - \frac{5696917035878759030458446643440}{- 71211462948484487880730583043 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}} - 18386720670569795822349446784 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1148870934643625620714460253 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 296637199787767446988185960 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 5696917035878759030458446643440 + 1470937653645583665787955742720 \sqrt{15}} - \frac{1470937653645583665787955742720 \sqrt{15}}{- 71211462948484487880730583043 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}} - 18386720670569795822349446784 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1148870934643625620714460253 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 296637199787767446988185960 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 5696917035878759030458446643440 + 1470937653645583665787955742720 \sqrt{15}} - \frac{48629357900106717742390166496 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}}}{- 71211462948484487880730583043 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}} - 18386720670569795822349446784 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1148870934643625620714460253 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 296637199787767446988185960 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 5696917035878759030458446643440 + 1470937653645583665787955742720 \sqrt{15}} - \frac{12556046218924893292193844728 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}}}{- 71211462948484487880730583043 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}} - 18386720670569795822349446784 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1148870934643625620714460253 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 296637199787767446988185960 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 5696917035878759030458446643440 + 1470937653645583665787955742720 \sqrt{15}} + \frac{398477826928941498633234075640 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}}}{- 71211462948484487880730583043 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}} - 18386720670569795822349446784 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1148870934643625620714460253 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 296637199787767446988185960 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 5696917035878759030458446643440 + 1470937653645583665787955742720 \sqrt{15}} + \frac{1543297987528711779289400786016 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}{- 71211462948484487880730583043 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}} - 18386720670569795822349446784 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1148870934643625620714460253 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 296637199787767446988185960 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 5696917035878759030458446643440 + 1470937653645583665787955742720 \sqrt{15}} \right)} + \frac{6 \sqrt{- \frac{1}{- 31 \cdot 15^{\frac{2}{3}} - 120 \sqrt[6]{15} + \left(15 + 4 \sqrt{15}\right)^{\frac{4}{3}}}} \sqrt[6]{15 + 4 \sqrt{15}} \sqrt{- \frac{1921}{48} - \frac{31 \sqrt{15}}{3} + \frac{31 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}}}{3} + \frac{1921 \left(225 + 60 \sqrt{15}\right)^{\frac{2}{3}}}{720} + \frac{62 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}}}{3} + \frac{1921 \sqrt[3]{225 + 60 \sqrt{15}}}{24}} \operatorname{atan}{\left(\frac{40 x \sqrt[6]{15 + 4 \sqrt{15}} \sqrt{945 + 244 \sqrt{15}} \sqrt{- 4 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}} - 15 \sqrt[3]{15 + 4 \sqrt{15}} + 120 \sqrt[6]{15} + 31 \cdot 15^{\frac{2}{3}}}}{- 15 \sqrt{5} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 5 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}}} + \frac{30248 \cdot 15^{\frac{2}{3}} \sqrt[6]{15 + 4 \sqrt{15}} \sqrt{945 + 244 \sqrt{15}} \sqrt{- 4 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}} - 15 \sqrt[3]{15 + 4 \sqrt{15}} + 120 \sqrt[6]{15} + 31 \cdot 15^{\frac{2}{3}}}}{- 863745 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 669054 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 357213 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 461160 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 266469 \sqrt{5} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 344010 \sqrt{3} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}}} + \frac{117150 \sqrt[6]{15} \sqrt[6]{15 + 4 \sqrt{15}} \sqrt{945 + 244 \sqrt{15}} \sqrt{- 4 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}} - 15 \sqrt[3]{15 + 4 \sqrt{15}} + 120 \sqrt[6]{15} + 31 \cdot 15^{\frac{2}{3}}}}{- 863745 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 669054 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 357213 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 461160 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 266469 \sqrt{5} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 344010 \sqrt{3} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}}} - \frac{922320 \sqrt{15 + 4 \sqrt{15}} \sqrt{945 + 244 \sqrt{15}} \sqrt{- 4 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}} - 15 \sqrt[3]{15 + 4 \sqrt{15}} + 120 \sqrt[6]{15} + 31 \cdot 15^{\frac{2}{3}}}}{- 863745 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 669054 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 357213 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 461160 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 266469 \sqrt{5} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 344010 \sqrt{3} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}}} - \frac{238142 \sqrt{15} \sqrt{15 + 4 \sqrt{15}} \sqrt{945 + 244 \sqrt{15}} \sqrt{- 4 \sqrt{15} \sqrt[3]{15 + 4 \sqrt{15}} - 15 \sqrt[3]{15 + 4 \sqrt{15}} + 120 \sqrt[6]{15} + 31 \cdot 15^{\frac{2}{3}}}}{- 863745 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 669054 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{15 + 4 \sqrt{15}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 357213 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} - 461160 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 266469 \sqrt{5} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}} + 344010 \sqrt{3} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-28815 - 7440 \sqrt{15} + 7440 \sqrt[6]{15} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 1921 \cdot 15^{\frac{2}{3}} \left(15 + 4 \sqrt{15}\right)^{\frac{2}{3}} + 14880 \cdot 15^{\frac{5}{6}} \sqrt[3]{15 + 4 \sqrt{15}} + 57630 \sqrt[3]{15} \sqrt[3]{15 + 4 \sqrt{15}}}} \right)}}{\sqrt{945 + 244 \sqrt{15}}} - \frac{4 \sqrt{- \frac{1}{- 1921 \cdot 15^{\frac{2}{3}} - 7440 \sqrt[6]{15} + \left(120 + 31 \sqrt{15}\right)^{\frac{4}{3}}}} \sqrt[6]{120 + 31 \sqrt{15}} \sqrt{- \frac{7380481}{48} - \frac{119102 \sqrt{15}}{3} + \frac{119102 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}}}{3} + \frac{7380481 \left(1800 + 465 \sqrt{15}\right)^{\frac{2}{3}}}{720} + \frac{1905632 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}}}{3} + \frac{7380481 \sqrt[3]{1800 + 465 \sqrt{15}}}{3}} \operatorname{atan}{\left(- \frac{310 x \sqrt[6]{120 + 31 \sqrt{15}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 15 \sqrt{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 20 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 4 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} - \frac{432424197615 \sqrt[6]{15} \sqrt[6]{120 + 31 \sqrt{15}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 418249984815 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 323975045148 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 878572517760 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 680539345944 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 345585002772 \sqrt{5} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 446148320145 \sqrt{3} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} - \frac{111651447724 \cdot 15^{\frac{2}{3}} \sqrt[6]{120 + 31 \sqrt{15}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 418249984815 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 323975045148 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 878572517760 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 680539345944 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 345585002772 \sqrt{5} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 446148320145 \sqrt{3} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} + \frac{432424197615 \sqrt{120 + 31 \sqrt{15}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 418249984815 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 323975045148 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 878572517760 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 680539345944 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 345585002772 \sqrt{5} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 446148320145 \sqrt{3} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} + \frac{111651447724 \sqrt{15} \sqrt{120 + 31 \sqrt{15}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 418249984815 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 323975045148 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 878572517760 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 680539345944 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 345585002772 \sqrt{5} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 446148320145 \sqrt{3} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} + \frac{28363186562 \cdot 15^{\frac{5}{6}} \left(120 + 31 \sqrt{15}\right)^{\frac{5}{6}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 418249984815 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 323975045148 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 878572517760 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 680539345944 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 345585002772 \sqrt{5} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 446148320145 \sqrt{3} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} + \frac{109850149200 \sqrt[3]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{5}{6}} \sqrt{461160 + 119071 \sqrt{15}} \sqrt{- 31 \sqrt{15} \sqrt[3]{120 + 31 \sqrt{15}} - 120 \sqrt[3]{120 + 31 \sqrt{15}} + 7440 \sqrt[6]{15} + 1921 \cdot 15^{\frac{2}{3}}}}{- 418249984815 \cdot 3^{\frac{2}{3}} \sqrt[6]{5} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 323975045148 \sqrt[6]{3} \cdot 5^{\frac{2}{3}} \sqrt[3]{120 + 31 \sqrt{15}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 878572517760 \cdot 3^{\frac{5}{6}} \sqrt[3]{5} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} - 680539345944 \sqrt[3]{3} \cdot 5^{\frac{5}{6}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 345585002772 \sqrt{5} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}} + 446148320145 \sqrt{3} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} \sqrt{-110707215 - 28584480 \sqrt{15} + 28584480 \sqrt[6]{15} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 7380481 \cdot 15^{\frac{2}{3}} \left(120 + 31 \sqrt{15}\right)^{\frac{2}{3}} + 457351680 \cdot 15^{\frac{5}{6}} \sqrt[3]{120 + 31 \sqrt{15}} + 1771315440 \sqrt[3]{15} \sqrt[3]{120 + 31 \sqrt{15}}}} \right)}}{\sqrt{461160 + 119071 \sqrt{15}}}$$

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Gráfica

Trazar el gráfico f(x)

Respuesta [src]

         /     3                        /               2\\          /     3                        /               2\\
- RootSum\324*t  - 63*t + 11, t -> t*log\-7 + 9*t + 54*t // + RootSum\324*t  - 63*t + 11, t -> t*log\-6 + 9*t + 54*t //

$$- \operatorname{RootSum} {\left(324 t^{3} - 63 t + 11, \left( t \mapsto t \log{\left(54 t^{2} + 9 t - 7 \right)} \right)\right)} + \operatorname{RootSum} {\left(324 t^{3} - 63 t + 11, \left( t \mapsto t \log{\left(54 t^{2} + 9 t - 6 \right)} \right)\right)}$$

         /     3                        /               2\\          /     3                        /               2\\
- RootSum\324*t  - 63*t + 11, t -> t*log\-7 + 9*t + 54*t // + RootSum\324*t  - 63*t + 11, t -> t*log\-6 + 9*t + 54*t //

-RootSum(324*_t^3 - 63*_t + 11, Lambda(_t, _t*log(-7 + 9*_t + 54*_t^2))) + RootSum(324*_t^3 - 63*_t + 11, Lambda(_t, _t*log(-6 + 9*_t + 54*_t^2)))

Respuesta numérica [src]

-0.291134083497687

-0.291134083497687

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