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Simplificación de expresiones/ Descomposición en fracciones simples/ sin(12/x^7)/(7*(3-6*cos(12/x^7)+3*cos(12/x^7)^2+3*sin(12/x^7)^2))

¿Cómo vas a descomponer esta sin(12/x^7)/(7*(3-6*cos(12/x^7)+3*cos(12/x^7)^2+3*sin(12/x^7)^2)) expresión en fracciones?

Expresión a simplificar:

Solución

Ha introducido [src] 
                     /12\                  
                  sin|--|                  
                     | 7|                  
                     \x /                  
-------------------------------------------
  /         /12\        2/12\        2/12\\
7*|3 - 6*cos|--| + 3*cos |--| + 3*sin |--||
  |         | 7|         | 7|         | 7||
  \         \x /         \x /         \x //
sin⁡(12x7)7(((3−6cos⁡(12x7))+3cos⁡2(12x7))+3sin⁡2(12x7))\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{7 \left(\left(\left(3 - 6 \cos{\left(\frac{12}{x^{7}} \right)}\right) + 3 \cos^{2}{\left(\frac{12}{x^{7}} \right)}\right) + 3 \sin^{2}{\left(\frac{12}{x^{7}} \right)}\right)} 
sin(12/x^7)/((7*(3 - 6*cos(12/x^7) + 3*cos(12/x^7)^2 + 3*sin(12/x^7)^2)))
Simplificación general [src] 
    1     
----------
      /6 \
42*tan|--|
      | 7|
      \x /
142tan⁡(6x7)\frac{1}{42 \tan{\left(\frac{6}{x^{7}} \right)}} 
1/(42*tan(6/x^7))
Respuesta numérica [src] 
sin(12/x^7)/(21.0 + 21.0*cos(12/x^7)^2 + 21.0*sin(12/x^7)^2 - 42.0*cos(12/x^7))
sin(12/x^7)/(21.0 + 21.0*cos(12/x^7)^2 + 21.0*sin(12/x^7)^2 - 42.0*cos(12/x^7))
Unión de expresiones racionales [src] 
                   /12\                 
                sin|--|                 
                   | 7|                 
                   \x /                 
----------------------------------------
   /       2/12\      2/12\        /12\\
21*|1 + cos |--| + sin |--| - 2*cos|--||
   |        | 7|       | 7|        | 7||
   \        \x /       \x /        \x //
sin⁡(12x7)21(sin⁡2(12x7)+cos⁡2(12x7)−2cos⁡(12x7)+1)\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \left(\sin^{2}{\left(\frac{12}{x^{7}} \right)} + \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 2 \cos{\left(\frac{12}{x^{7}} \right)} + 1\right)} 
sin(12/x^7)/(21*(1 + cos(12/x^7)^2 + sin(12/x^7)^2 - 2*cos(12/x^7)))
Combinatoria [src] 
                   /12\                 
                sin|--|                 
                   | 7|                 
                   \x /                 
----------------------------------------
   /       2/12\      2/12\        /12\\
21*|1 + cos |--| + sin |--| - 2*cos|--||
   |        | 7|       | 7|        | 7||
   \        \x /       \x /        \x //
sin⁡(12x7)21(sin⁡2(12x7)+cos⁡2(12x7)−2cos⁡(12x7)+1)\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \left(\sin^{2}{\left(\frac{12}{x^{7}} \right)} + \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 2 \cos{\left(\frac{12}{x^{7}} \right)} + 1\right)} 
sin(12/x^7)/(21*(1 + cos(12/x^7)^2 + sin(12/x^7)^2 - 2*cos(12/x^7)))
Potencias [src] 
                               /   -12*I    12*I\                            
                               |   -----    ----|                            
                               |      7       7 |                            
                               |     x       x  |                            
                            -I*\- e      + e    /                            
-----------------------------------------------------------------------------
  /                                               2                        2\
  |                               / -12*I    12*I\       /   -12*I    12*I\ |
  |         -12*I       12*I      | -----    ----|       |   -----    ----| |
  |         -----       ----      |    7       7 |       |      7       7 | |
  |            7          7       |   x       x  |       |     x       x  | |
  |           x          x        |e        e    |    21*\- e      + e    / |
2*|21 - 21*e      - 21*e     + 21*|------ + -----|  - ----------------------|
  \                               \  2        2  /              4           /
−i(e12ix7−e−12ix7)2(21(e12ix72+e−12ix72)2−21(e12ix7−e−12ix7)24−21e12ix7+21−21e−12ix7)- \frac{i \left(e^{\frac{12 i}{x^{7}}} - e^{- \frac{12 i}{x^{7}}}\right)}{2 \left(21 \left(\frac{e^{\frac{12 i}{x^{7}}}}{2} + \frac{e^{- \frac{12 i}{x^{7}}}}{2}\right)^{2} - \frac{21 \left(e^{\frac{12 i}{x^{7}}} - e^{- \frac{12 i}{x^{7}}}\right)^{2}}{4} - 21 e^{\frac{12 i}{x^{7}}} + 21 - 21 e^{- \frac{12 i}{x^{7}}}\right)} 
                     /12\                  
                  sin|--|                  
                     | 7|                  
                     \x /                  
-------------------------------------------
           /12\         2/12\         2/12\
21 - 42*cos|--| + 21*cos |--| + 21*sin |--|
           | 7|          | 7|          | 7|
           \x /          \x /          \x /
sin⁡(12x7)21sin⁡2(12x7)+21cos⁡2(12x7)−42cos⁡(12x7)+21\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \sin^{2}{\left(\frac{12}{x^{7}} \right)} + 21 \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 42 \cos{\left(\frac{12}{x^{7}} \right)} + 21} 
sin(12/x^7)/(21 - 42*cos(12/x^7) + 21*cos(12/x^7)^2 + 21*sin(12/x^7)^2)
Denominador común [src] 
                     /12\                  
                  sin|--|                  
                     | 7|                  
                     \x /                  
-------------------------------------------
           /12\         2/12\         2/12\
21 - 42*cos|--| + 21*cos |--| + 21*sin |--|
           | 7|          | 7|          | 7|
           \x /          \x /          \x /
sin⁡(12x7)21sin⁡2(12x7)+21cos⁡2(12x7)−42cos⁡(12x7)+21\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \sin^{2}{\left(\frac{12}{x^{7}} \right)} + 21 \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 42 \cos{\left(\frac{12}{x^{7}} \right)} + 21} 
sin(12/x^7)/(21 - 42*cos(12/x^7) + 21*cos(12/x^7)^2 + 21*sin(12/x^7)^2)
Denominador racional [src] 
                     /12\                  
                  sin|--|                  
                     | 7|                  
                     \x /                  
-------------------------------------------
           /12\         2/12\         2/12\
21 - 42*cos|--| + 21*cos |--| + 21*sin |--|
           | 7|          | 7|          | 7|
           \x /          \x /          \x /
sin⁡(12x7)21sin⁡2(12x7)+21cos⁡2(12x7)−42cos⁡(12x7)+21\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \sin^{2}{\left(\frac{12}{x^{7}} \right)} + 21 \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 42 \cos{\left(\frac{12}{x^{7}} \right)} + 21} 
sin(12/x^7)/(21 - 42*cos(12/x^7) + 21*cos(12/x^7)^2 + 21*sin(12/x^7)^2)
Abrimos la expresión [src] 
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                                                                                                                                                                                                                                                                                4608*sin |--|*cos|--|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               2048*sin  |--|*cos|--|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               280*sin |--|*cos|--|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 12*cos|--|*sin|--|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                1792*sin |--|*cos|--|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               5120*sin |--|*cos|--|                                                                                                                                                                                                                                                                              
                                                                                                                                                                                                                                                                                         | 7|    | 7|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         | 7|    | 7|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       | 7|    | 7|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       | 7|    | 7|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         | 7|    | 7|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        | 7|    | 7|                                                                                                                                                                                                                                                                              
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  - 2091909120*cos  |--| - 1263403008*cos  |--| - 528482304*cos  |--| - 147345408*cos  |--| - 2540160*cos |--| + 108864*cos |--| + 25655616*cos |--| + 88080384*cos  |--| + 532180992*cos  |--| + 1387266048*cos  |--| + 2000388096*cos  |--| - 1145044992*cos |--|*sin  |--| - 440401920*cos |--|*sin  |--| - 408059904*cos |--|*sin  |--| - 23396352*cos |--|*sin |--| - 141120*cos |--|*sin |--| + 3024*cos |--|*sin |--| + 2549568*cos |--|*sin |--| + 88080384*cos |--|*sin  |--| + 124207104*cos |--|*sin  |--| + 855343104*cos |--|*sin  |--| + 946864128*cos |--|*sin  |--|   - 2091909120*cos  |--| - 1263403008*cos  |--| - 528482304*cos  |--| - 147345408*cos  |--| - 2540160*cos |--| + 108864*cos |--| + 25655616*cos |--| + 88080384*cos  |--| + 532180992*cos  |--| + 1387266048*cos  |--| + 2000388096*cos  |--| - 1145044992*cos |--|*sin  |--| - 440401920*cos |--|*sin  |--| - 408059904*cos |--|*sin  |--| - 23396352*cos |--|*sin |--| - 141120*cos |--|*sin |--| + 3024*cos |--|*sin |--| + 2549568*cos |--|*sin |--| + 88080384*cos |--|*sin  |--| + 124207104*cos |--|*sin  |--| + 855343104*cos |--|*sin  |--| + 946864128*cos |--|*sin  |--|   - 2091909120*cos  |--| - 1263403008*cos  |--| - 528482304*cos  |--| - 147345408*cos  |--| - 2540160*cos |--| + 108864*cos |--| + 25655616*cos |--| + 88080384*cos  |--| + 532180992*cos  |--| + 1387266048*cos  |--| + 2000388096*cos  |--| - 1145044992*cos |--|*sin  |--| - 440401920*cos |--|*sin  |--| - 408059904*cos |--|*sin  |--| - 23396352*cos |--|*sin |--| - 141120*cos |--|*sin |--| + 3024*cos |--|*sin |--| + 2549568*cos |--|*sin |--| + 88080384*cos |--|*sin  |--| + 124207104*cos |--|*sin  |--| + 855343104*cos |--|*sin  |--| + 946864128*cos |--|*sin  |--|   - 2091909120*cos  |--| - 1263403008*cos  |--| - 528482304*cos  |--| - 147345408*cos  |--| - 2540160*cos |--| + 108864*cos |--| + 25655616*cos |--| + 88080384*cos  |--| + 532180992*cos  |--| + 1387266048*cos  |--| + 2000388096*cos  |--| - 1145044992*cos |--|*sin  |--| - 440401920*cos |--|*sin  |--| - 408059904*cos |--|*sin  |--| - 23396352*cos |--|*sin |--| - 141120*cos |--|*sin |--| + 3024*cos |--|*sin |--| + 2549568*cos |--|*sin |--| + 88080384*cos |--|*sin  |--| + 124207104*cos |--|*sin  |--| + 855343104*cos |--|*sin  |--| + 946864128*cos |--|*sin  |--|   - 2091909120*cos  |--| - 1263403008*cos  |--| - 528482304*cos  |--| - 147345408*cos  |--| - 2540160*cos |--| + 108864*cos |--| + 25655616*cos |--| + 88080384*cos  |--| + 532180992*cos  |--| + 1387266048*cos  |--| + 2000388096*cos  |--| - 1145044992*cos |--|*sin  |--| - 440401920*cos |--|*sin  |--| - 408059904*cos |--|*sin  |--| - 23396352*cos |--|*sin |--| - 141120*cos |--|*sin |--| + 3024*cos |--|*sin |--| + 2549568*cos |--|*sin |--| + 88080384*cos |--|*sin  |--| + 124207104*cos |--|*sin  |--| + 855343104*cos |--|*sin  |--| + 946864128*cos |--|*sin  |--|   - 2091909120*cos  |--| - 1263403008*cos  |--| - 528482304*cos  |--| - 147345408*cos  |--| - 2540160*cos |--| + 108864*cos |--| + 25655616*cos |--| + 88080384*cos  |--| + 532180992*cos  |--| + 1387266048*cos  |--| + 2000388096*cos  |--| - 1145044992*cos |--|*sin  |--| - 440401920*cos |--|*sin  |--| - 408059904*cos |--|*sin  |--| - 23396352*cos |--|*sin |--| - 141120*cos |--|*sin |--| + 3024*cos |--|*sin |--| + 2549568*cos |--|*sin |--| + 88080384*cos |--|*sin  |--| + 124207104*cos |--|*sin  |--| + 855343104*cos |--|*sin  |--| + 946864128*cos |--|*sin  |--|
                    | 7|                   | 7|                  | 7|                  | 7|               | 7|              | 7|                | 7|                 | 7|                  | 7|                   | 7|                   | 7|                  | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                | 7|     | 7|              | 7|     | 7|            | 7|     | 7|               | 7|     | 7|                | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                     | 7|                   | 7|                  | 7|                  | 7|               | 7|              | 7|                | 7|                 | 7|                  | 7|                   | 7|                   | 7|                  | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                | 7|     | 7|              | 7|     | 7|            | 7|     | 7|               | 7|     | 7|                | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                     | 7|                   | 7|                  | 7|                  | 7|               | 7|              | 7|                | 7|                 | 7|                  | 7|                   | 7|                   | 7|                  | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                | 7|     | 7|              | 7|     | 7|            | 7|     | 7|               | 7|     | 7|                | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                     | 7|                   | 7|                  | 7|                  | 7|               | 7|              | 7|                | 7|                 | 7|                  | 7|                   | 7|                   | 7|                  | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                | 7|     | 7|              | 7|     | 7|            | 7|     | 7|               | 7|     | 7|                | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                     | 7|                   | 7|                  | 7|                  | 7|               | 7|              | 7|                | 7|                 | 7|                  | 7|                   | 7|                   | 7|                  | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                | 7|     | 7|              | 7|     | 7|            | 7|     | 7|               | 7|     | 7|                | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                     | 7|                   | 7|                  | 7|                  | 7|               | 7|              | 7|                | 7|                 | 7|                  | 7|                   | 7|                   | 7|                  | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                | 7|     | 7|              | 7|     | 7|            | 7|     | 7|               | 7|     | 7|                | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|                 | 7|      | 7|
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−2048sin⁡11(1x7)cos⁡(1x7)88080384sin⁡22(1x7)cos⁡2(1x7)−440401920sin⁡20(1x7)cos⁡2(1x7)+946864128sin⁡18(1x7)cos⁡2(1x7)−1145044992sin⁡16(1x7)cos⁡2(1x7)+855343104sin⁡14(1x7)cos⁡2(1x7)−408059904sin⁡12(1x7)cos⁡2(1x7)+124207104sin⁡10(1x7)cos⁡2(1x7)−23396352sin⁡8(1x7)cos⁡2(1x7)+2549568sin⁡6(1x7)cos⁡2(1x7)−141120sin⁡4(1x7)cos⁡2(1x7)+3024sin⁡2(1x7)cos⁡2(1x7)+88080384cos⁡24(1x7)−528482304cos⁡22(1x7)+1387266048cos⁡20(1x7)−2091909120cos⁡18(1x7)+2000388096cos⁡16(1x7)−1263403008cos⁡14(1x7)+532180992cos⁡12(1x7)−147345408cos⁡10(1x7)+25655616cos⁡8(1x7)−2540160cos⁡6(1x7)+108864cos⁡4(1x7)+5120sin⁡9(1x7)cos⁡(1x7)88080384sin⁡22(1x7)cos⁡2(1x7)−440401920sin⁡20(1x7)cos⁡2(1x7)+946864128sin⁡18(1x7)cos⁡2(1x7)−1145044992sin⁡16(1x7)cos⁡2(1x7)+855343104sin⁡14(1x7)cos⁡2(1x7)−408059904sin⁡12(1x7)cos⁡2(1x7)+124207104sin⁡10(1x7)cos⁡2(1x7)−23396352sin⁡8(1x7)cos⁡2(1x7)+2549568sin⁡6(1x7)cos⁡2(1x7)−141120sin⁡4(1x7)cos⁡2(1x7)+3024sin⁡2(1x7)cos⁡2(1x7)+88080384cos⁡24(1x7)−528482304cos⁡22(1x7)+1387266048cos⁡20(1x7)−2091909120cos⁡18(1x7)+2000388096cos⁡16(1x7)−1263403008cos⁡14(1x7)+532180992cos⁡12(1x7)−147345408cos⁡10(1x7)+25655616cos⁡8(1x7)−2540160cos⁡6(1x7)+108864cos⁡4(1x7)−4608sin⁡7(1x7)cos⁡(1x7)88080384sin⁡22(1x7)cos⁡2(1x7)−440401920sin⁡20(1x7)cos⁡2(1x7)+946864128sin⁡18(1x7)cos⁡2(1x7)−1145044992sin⁡16(1x7)cos⁡2(1x7)+855343104sin⁡14(1x7)cos⁡2(1x7)−408059904sin⁡12(1x7)cos⁡2(1x7)+124207104sin⁡10(1x7)cos⁡2(1x7)−23396352sin⁡8(1x7)cos⁡2(1x7)+2549568sin⁡6(1x7)cos⁡2(1x7)−141120sin⁡4(1x7)cos⁡2(1x7)+3024sin⁡2(1x7)cos⁡2(1x7)+88080384cos⁡24(1x7)−528482304cos⁡22(1x7)+1387266048cos⁡20(1x7)−2091909120cos⁡18(1x7)+2000388096cos⁡16(1x7)−1263403008cos⁡14(1x7)+532180992cos⁡12(1x7)−147345408cos⁡10(1x7)+25655616cos⁡8(1x7)−2540160cos⁡6(1x7)+108864cos⁡4(1x7)+1792sin⁡5(1x7)cos⁡(1x7)88080384sin⁡22(1x7)cos⁡2(1x7)−440401920sin⁡20(1x7)cos⁡2(1x7)+946864128sin⁡18(1x7)cos⁡2(1x7)−1145044992sin⁡16(1x7)cos⁡2(1x7)+855343104sin⁡14(1x7)cos⁡2(1x7)−408059904sin⁡12(1x7)cos⁡2(1x7)+124207104sin⁡10(1x7)cos⁡2(1x7)−23396352sin⁡8(1x7)cos⁡2(1x7)+2549568sin⁡6(1x7)cos⁡2(1x7)−141120sin⁡4(1x7)cos⁡2(1x7)+3024sin⁡2(1x7)cos⁡2(1x7)+88080384cos⁡24(1x7)−528482304cos⁡22(1x7)+1387266048cos⁡20(1x7)−2091909120cos⁡18(1x7)+2000388096cos⁡16(1x7)−1263403008cos⁡14(1x7)+532180992cos⁡12(1x7)−147345408cos⁡10(1x7)+25655616cos⁡8(1x7)−2540160cos⁡6(1x7)+108864cos⁡4(1x7)−280sin⁡3(1x7)cos⁡(1x7)88080384sin⁡22(1x7)cos⁡2(1x7)−440401920sin⁡20(1x7)cos⁡2(1x7)+946864128sin⁡18(1x7)cos⁡2(1x7)−1145044992sin⁡16(1x7)cos⁡2(1x7)+855343104sin⁡14(1x7)cos⁡2(1x7)−408059904sin⁡12(1x7)cos⁡2(1x7)+124207104sin⁡10(1x7)cos⁡2(1x7)−23396352sin⁡8(1x7)cos⁡2(1x7)+2549568sin⁡6(1x7)cos⁡2(1x7)−141120sin⁡4(1x7)cos⁡2(1x7)+3024sin⁡2(1x7)cos⁡2(1x7)+88080384cos⁡24(1x7)−528482304cos⁡22(1x7)+1387266048cos⁡20(1x7)−2091909120cos⁡18(1x7)+2000388096cos⁡16(1x7)−1263403008cos⁡14(1x7)+532180992cos⁡12(1x7)−147345408cos⁡10(1x7)+25655616cos⁡8(1x7)−2540160cos⁡6(1x7)+108864cos⁡4(1x7)+12sin⁡(1x7)cos⁡(1x7)88080384sin⁡22(1x7)cos⁡2(1x7)−440401920sin⁡20(1x7)cos⁡2(1x7)+946864128sin⁡18(1x7)cos⁡2(1x7)−1145044992sin⁡16(1x7)cos⁡2(1x7)+855343104sin⁡14(1x7)cos⁡2(1x7)−408059904sin⁡12(1x7)cos⁡2(1x7)+124207104sin⁡10(1x7)cos⁡2(1x7)−23396352sin⁡8(1x7)cos⁡2(1x7)+2549568sin⁡6(1x7)cos⁡2(1x7)−141120sin⁡4(1x7)cos⁡2(1x7)+3024sin⁡2(1x7)cos⁡2(1x7)+88080384cos⁡24(1x7)−528482304cos⁡22(1x7)+1387266048cos⁡20(1x7)−2091909120cos⁡18(1x7)+2000388096cos⁡16(1x7)−1263403008cos⁡14(1x7)+532180992cos⁡12(1x7)−147345408cos⁡10(1x7)+25655616cos⁡8(1x7)−2540160cos⁡6(1x7)+108864cos⁡4(1x7)- \frac{2048 \sin^{11}{\left(\frac{1}{x^{7}} \right)} \cos{\left(\frac{1}{x^{7}} \right)}}{88080384 \sin^{22}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 440401920 \sin^{20}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 946864128 \sin^{18}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 1145044992 \sin^{16}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 855343104 \sin^{14}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 408059904 \sin^{12}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 124207104 \sin^{10}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 23396352 \sin^{8}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 2549568 \sin^{6}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 141120 \sin^{4}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 3024 \sin^{2}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 88080384 \cos^{24}{\left(\frac{1}{x^{7}} \right)} - 528482304 \cos^{22}{\left(\frac{1}{x^{7}} \right)} + 1387266048 \cos^{20}{\left(\frac{1}{x^{7}} \right)} - 2091909120 \cos^{18}{\left(\frac{1}{x^{7}} \right)} + 2000388096 \cos^{16}{\left(\frac{1}{x^{7}} \right)} - 1263403008 \cos^{14}{\left(\frac{1}{x^{7}} \right)} + 532180992 \cos^{12}{\left(\frac{1}{x^{7}} \right)} - 147345408 \cos^{10}{\left(\frac{1}{x^{7}} \right)} + 25655616 \cos^{8}{\left(\frac{1}{x^{7}} \right)} - 2540160 \cos^{6}{\left(\frac{1}{x^{7}} \right)} + 108864 \cos^{4}{\left(\frac{1}{x^{7}} \right)}} + \frac{5120 \sin^{9}{\left(\frac{1}{x^{7}} \right)} \cos{\left(\frac{1}{x^{7}} \right)}}{88080384 \sin^{22}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 440401920 \sin^{20}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 946864128 \sin^{18}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 1145044992 \sin^{16}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 855343104 \sin^{14}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 408059904 \sin^{12}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 124207104 \sin^{10}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 23396352 \sin^{8}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 2549568 \sin^{6}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 141120 \sin^{4}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 3024 \sin^{2}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 88080384 \cos^{24}{\left(\frac{1}{x^{7}} \right)} - 528482304 \cos^{22}{\left(\frac{1}{x^{7}} \right)} + 1387266048 \cos^{20}{\left(\frac{1}{x^{7}} \right)} - 2091909120 \cos^{18}{\left(\frac{1}{x^{7}} \right)} + 2000388096 \cos^{16}{\left(\frac{1}{x^{7}} \right)} - 1263403008 \cos^{14}{\left(\frac{1}{x^{7}} \right)} + 532180992 \cos^{12}{\left(\frac{1}{x^{7}} \right)} - 147345408 \cos^{10}{\left(\frac{1}{x^{7}} \right)} + 25655616 \cos^{8}{\left(\frac{1}{x^{7}} \right)} - 2540160 \cos^{6}{\left(\frac{1}{x^{7}} \right)} + 108864 \cos^{4}{\left(\frac{1}{x^{7}} \right)}} - \frac{4608 \sin^{7}{\left(\frac{1}{x^{7}} \right)} \cos{\left(\frac{1}{x^{7}} \right)}}{88080384 \sin^{22}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 440401920 \sin^{20}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 946864128 \sin^{18}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 1145044992 \sin^{16}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 855343104 \sin^{14}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 408059904 \sin^{12}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 124207104 \sin^{10}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 23396352 \sin^{8}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 2549568 \sin^{6}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 141120 \sin^{4}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 3024 \sin^{2}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 88080384 \cos^{24}{\left(\frac{1}{x^{7}} \right)} - 528482304 \cos^{22}{\left(\frac{1}{x^{7}} \right)} + 1387266048 \cos^{20}{\left(\frac{1}{x^{7}} \right)} - 2091909120 \cos^{18}{\left(\frac{1}{x^{7}} \right)} + 2000388096 \cos^{16}{\left(\frac{1}{x^{7}} \right)} - 1263403008 \cos^{14}{\left(\frac{1}{x^{7}} \right)} + 532180992 \cos^{12}{\left(\frac{1}{x^{7}} \right)} - 147345408 \cos^{10}{\left(\frac{1}{x^{7}} \right)} + 25655616 \cos^{8}{\left(\frac{1}{x^{7}} \right)} - 2540160 \cos^{6}{\left(\frac{1}{x^{7}} \right)} + 108864 \cos^{4}{\left(\frac{1}{x^{7}} \right)}} + \frac{1792 \sin^{5}{\left(\frac{1}{x^{7}} \right)} \cos{\left(\frac{1}{x^{7}} \right)}}{88080384 \sin^{22}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 440401920 \sin^{20}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 946864128 \sin^{18}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 1145044992 \sin^{16}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 855343104 \sin^{14}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 408059904 \sin^{12}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 124207104 \sin^{10}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 23396352 \sin^{8}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 2549568 \sin^{6}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 141120 \sin^{4}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 3024 \sin^{2}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 88080384 \cos^{24}{\left(\frac{1}{x^{7}} \right)} - 528482304 \cos^{22}{\left(\frac{1}{x^{7}} \right)} + 1387266048 \cos^{20}{\left(\frac{1}{x^{7}} \right)} - 2091909120 \cos^{18}{\left(\frac{1}{x^{7}} \right)} + 2000388096 \cos^{16}{\left(\frac{1}{x^{7}} \right)} - 1263403008 \cos^{14}{\left(\frac{1}{x^{7}} \right)} + 532180992 \cos^{12}{\left(\frac{1}{x^{7}} \right)} - 147345408 \cos^{10}{\left(\frac{1}{x^{7}} \right)} + 25655616 \cos^{8}{\left(\frac{1}{x^{7}} \right)} - 2540160 \cos^{6}{\left(\frac{1}{x^{7}} \right)} + 108864 \cos^{4}{\left(\frac{1}{x^{7}} \right)}} - \frac{280 \sin^{3}{\left(\frac{1}{x^{7}} \right)} \cos{\left(\frac{1}{x^{7}} \right)}}{88080384 \sin^{22}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 440401920 \sin^{20}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 946864128 \sin^{18}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 1145044992 \sin^{16}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 855343104 \sin^{14}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 408059904 \sin^{12}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 124207104 \sin^{10}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 23396352 \sin^{8}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 2549568 \sin^{6}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 141120 \sin^{4}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 3024 \sin^{2}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 88080384 \cos^{24}{\left(\frac{1}{x^{7}} \right)} - 528482304 \cos^{22}{\left(\frac{1}{x^{7}} \right)} + 1387266048 \cos^{20}{\left(\frac{1}{x^{7}} \right)} - 2091909120 \cos^{18}{\left(\frac{1}{x^{7}} \right)} + 2000388096 \cos^{16}{\left(\frac{1}{x^{7}} \right)} - 1263403008 \cos^{14}{\left(\frac{1}{x^{7}} \right)} + 532180992 \cos^{12}{\left(\frac{1}{x^{7}} \right)} - 147345408 \cos^{10}{\left(\frac{1}{x^{7}} \right)} + 25655616 \cos^{8}{\left(\frac{1}{x^{7}} \right)} - 2540160 \cos^{6}{\left(\frac{1}{x^{7}} \right)} + 108864 \cos^{4}{\left(\frac{1}{x^{7}} \right)}} + \frac{12 \sin{\left(\frac{1}{x^{7}} \right)} \cos{\left(\frac{1}{x^{7}} \right)}}{88080384 \sin^{22}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 440401920 \sin^{20}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 946864128 \sin^{18}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 1145044992 \sin^{16}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 855343104 \sin^{14}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 408059904 \sin^{12}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 124207104 \sin^{10}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 23396352 \sin^{8}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 2549568 \sin^{6}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} - 141120 \sin^{4}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 3024 \sin^{2}{\left(\frac{1}{x^{7}} \right)} \cos^{2}{\left(\frac{1}{x^{7}} \right)} + 88080384 \cos^{24}{\left(\frac{1}{x^{7}} \right)} - 528482304 \cos^{22}{\left(\frac{1}{x^{7}} \right)} + 1387266048 \cos^{20}{\left(\frac{1}{x^{7}} \right)} - 2091909120 \cos^{18}{\left(\frac{1}{x^{7}} \right)} + 2000388096 \cos^{16}{\left(\frac{1}{x^{7}} \right)} - 1263403008 \cos^{14}{\left(\frac{1}{x^{7}} \right)} + 532180992 \cos^{12}{\left(\frac{1}{x^{7}} \right)} - 147345408 \cos^{10}{\left(\frac{1}{x^{7}} \right)} + 25655616 \cos^{8}{\left(\frac{1}{x^{7}} \right)} - 2540160 \cos^{6}{\left(\frac{1}{x^{7}} \right)} + 108864 \cos^{4}{\left(\frac{1}{x^{7}} \right)}} 
-4608*sin(x^(-7))^7*cos(x^(-7))/(-2091909120*cos(x^(-7))^18 - 1263403008*cos(x^(-7))^14 - 528482304*cos(x^(-7))^22 - 147345408*cos(x^(-7))^10 - 2540160*cos(x^(-7))^6 + 108864*cos(x^(-7))^4 + 25655616*cos(x^(-7))^8 + 88080384*cos(x^(-7))^24 + 532180992*cos(x^(-7))^12 + 1387266048*cos(x^(-7))^20 + 2000388096*cos(x^(-7))^16 - 1145044992*cos(x^(-7))^2*sin(x^(-7))^16 - 440401920*cos(x^(-7))^2*sin(x^(-7))^20 - 408059904*cos(x^(-7))^2*sin(x^(-7))^12 - 23396352*cos(x^(-7))^2*sin(x^(-7))^8 - 141120*cos(x^(-7))^2*sin(x^(-7))^4 + 3024*cos(x^(-7))^2*sin(x^(-7))^2 + 2549568*cos(x^(-7))^2*sin(x^(-7))^6 + 88080384*cos(x^(-7))^2*sin(x^(-7))^22 + 124207104*cos(x^(-7))^2*sin(x^(-7))^10 + 855343104*cos(x^(-7))^2*sin(x^(-7))^14 + 946864128*cos(x^(-7))^2*sin(x^(-7))^18) - 2048*sin(x^(-7))^11*cos(x^(-7))/(-2091909120*cos(x^(-7))^18 - 1263403008*cos(x^(-7))^14 - 528482304*cos(x^(-7))^22 - 147345408*cos(x^(-7))^10 - 2540160*cos(x^(-7))^6 + 108864*cos(x^(-7))^4 + 25655616*cos(x^(-7))^8 + 88080384*cos(x^(-7))^24 + 532180992*cos(x^(-7))^12 + 1387266048*cos(x^(-7))^20 + 2000388096*cos(x^(-7))^16 - 1145044992*cos(x^(-7))^2*sin(x^(-7))^16 - 440401920*cos(x^(-7))^2*sin(x^(-7))^20 - 408059904*cos(x^(-7))^2*sin(x^(-7))^12 - 23396352*cos(x^(-7))^2*sin(x^(-7))^8 - 141120*cos(x^(-7))^2*sin(x^(-7))^4 + 3024*cos(x^(-7))^2*sin(x^(-7))^2 + 2549568*cos(x^(-7))^2*sin(x^(-7))^6 + 88080384*cos(x^(-7))^2*sin(x^(-7))^22 + 124207104*cos(x^(-7))^2*sin(x^(-7))^10 + 855343104*cos(x^(-7))^2*sin(x^(-7))^14 + 946864128*cos(x^(-7))^2*sin(x^(-7))^18) - 280*sin(x^(-7))^3*cos(x^(-7))/(-2091909120*cos(x^(-7))^18 - 1263403008*cos(x^(-7))^14 - 528482304*cos(x^(-7))^22 - 147345408*cos(x^(-7))^10 - 2540160*cos(x^(-7))^6 + 108864*cos(x^(-7))^4 + 25655616*cos(x^(-7))^8 + 88080384*cos(x^(-7))^24 + 532180992*cos(x^(-7))^12 + 1387266048*cos(x^(-7))^20 + 2000388096*cos(x^(-7))^16 - 1145044992*cos(x^(-7))^2*sin(x^(-7))^16 - 440401920*cos(x^(-7))^2*sin(x^(-7))^20 - 408059904*cos(x^(-7))^2*sin(x^(-7))^12 - 23396352*cos(x^(-7))^2*sin(x^(-7))^8 - 141120*cos(x^(-7))^2*sin(x^(-7))^4 + 3024*cos(x^(-7))^2*sin(x^(-7))^2 + 2549568*cos(x^(-7))^2*sin(x^(-7))^6 + 88080384*cos(x^(-7))^2*sin(x^(-7))^22 + 124207104*cos(x^(-7))^2*sin(x^(-7))^10 + 855343104*cos(x^(-7))^2*sin(x^(-7))^14 + 946864128*cos(x^(-7))^2*sin(x^(-7))^18) + 12*cos(x^(-7))*sin(x^(-7))/(-2091909120*cos(x^(-7))^18 - 1263403008*cos(x^(-7))^14 - 528482304*cos(x^(-7))^22 - 147345408*cos(x^(-7))^10 - 2540160*cos(x^(-7))^6 + 108864*cos(x^(-7))^4 + 25655616*cos(x^(-7))^8 + 88080384*cos(x^(-7))^24 + 532180992*cos(x^(-7))^12 + 1387266048*cos(x^(-7))^20 + 2000388096*cos(x^(-7))^16 - 1145044992*cos(x^(-7))^2*sin(x^(-7))^16 - 440401920*cos(x^(-7))^2*sin(x^(-7))^20 - 408059904*cos(x^(-7))^2*sin(x^(-7))^12 - 23396352*cos(x^(-7))^2*sin(x^(-7))^8 - 141120*cos(x^(-7))^2*sin(x^(-7))^4 + 3024*cos(x^(-7))^2*sin(x^(-7))^2 + 2549568*cos(x^(-7))^2*sin(x^(-7))^6 + 88080384*cos(x^(-7))^2*sin(x^(-7))^22 + 124207104*cos(x^(-7))^2*sin(x^(-7))^10 + 855343104*cos(x^(-7))^2*sin(x^(-7))^14 + 946864128*cos(x^(-7))^2*sin(x^(-7))^18) + 1792*sin(x^(-7))^5*cos(x^(-7))/(-2091909120*cos(x^(-7))^18 - 1263403008*cos(x^(-7))^14 - 528482304*cos(x^(-7))^22 - 147345408*cos(x^(-7))^10 - 2540160*cos(x^(-7))^6 + 108864*cos(x^(-7))^4 + 25655616*cos(x^(-7))^8 + 88080384*cos(x^(-7))^24 + 532180992*cos(x^(-7))^12 + 1387266048*cos(x^(-7))^20 + 2000388096*cos(x^(-7))^16 - 1145044992*cos(x^(-7))^2*sin(x^(-7))^16 - 440401920*cos(x^(-7))^2*sin(x^(-7))^20 - 408059904*cos(x^(-7))^2*sin(x^(-7))^12 - 23396352*cos(x^(-7))^2*sin(x^(-7))^8 - 141120*cos(x^(-7))^2*sin(x^(-7))^4 + 3024*cos(x^(-7))^2*sin(x^(-7))^2 + 2549568*cos(x^(-7))^2*sin(x^(-7))^6 + 88080384*cos(x^(-7))^2*sin(x^(-7))^22 + 124207104*cos(x^(-7))^2*sin(x^(-7))^10 + 855343104*cos(x^(-7))^2*sin(x^(-7))^14 + 946864128*cos(x^(-7))^2*sin(x^(-7))^18) + 5120*sin(x^(-7))^9*cos(x^(-7))/(-2091909120*cos(x^(-7))^18 - 1263403008*cos(x^(-7))^14 - 528482304*cos(x^(-7))^22 - 147345408*cos(x^(-7))^10 - 2540160*cos(x^(-7))^6 + 108864*cos(x^(-7))^4 + 25655616*cos(x^(-7))^8 + 88080384*cos(x^(-7))^24 + 532180992*cos(x^(-7))^12 + 1387266048*cos(x^(-7))^20 + 2000388096*cos(x^(-7))^16 - 1145044992*cos(x^(-7))^2*sin(x^(-7))^16 - 440401920*cos(x^(-7))^2*sin(x^(-7))^20 - 408059904*cos(x^(-7))^2*sin(x^(-7))^12 - 23396352*cos(x^(-7))^2*sin(x^(-7))^8 - 141120*cos(x^(-7))^2*sin(x^(-7))^4 + 3024*cos(x^(-7))^2*sin(x^(-7))^2 + 2549568*cos(x^(-7))^2*sin(x^(-7))^6 + 88080384*cos(x^(-7))^2*sin(x^(-7))^22 + 124207104*cos(x^(-7))^2*sin(x^(-7))^10 + 855343104*cos(x^(-7))^2*sin(x^(-7))^14 + 946864128*cos(x^(-7))^2*sin(x^(-7))^18)
Parte trigonométrica [src] 
                                       /6 \                                   
                                  2*tan|--|                                   
                                       | 7|                                   
                                       \x /                                   
------------------------------------------------------------------------------
               /                                          2                  \
               |        /       2/6 \\      /       2/6 \\            2/6 \  |
               |     42*|1 - tan |--||   21*|1 - tan |--||      84*tan |--|  |
               |        |        | 7||      |        | 7||             | 7|  |
/       2/6 \\ |        \        \x //      \        \x //             \x /  |
|1 + tan |--||*|21 - ----------------- + ------------------ + ---------------|
|        | 7|| |               2/6 \                    2                   2|
\        \x // |        1 + tan |--|      /       2/6 \\      /       2/6 \\ |
               |                | 7|      |1 + tan |--||      |1 + tan |--|| |
               |                \x /      |        | 7||      |        | 7|| |
               \                          \        \x //      \        \x // /
2tan⁡(6x7)(tan⁡2(6x7)+1)(21(1−tan⁡2(6x7))2(tan⁡2(6x7)+1)2−42(1−tan⁡2(6x7))tan⁡2(6x7)+1+21+84tan⁡2(6x7)(tan⁡2(6x7)+1)2)\frac{2 \tan{\left(\frac{6}{x^{7}} \right)}}{\left(\tan^{2}{\left(\frac{6}{x^{7}} \right)} + 1\right) \left(\frac{21 \left(1 - \tan^{2}{\left(\frac{6}{x^{7}} \right)}\right)^{2}}{\left(\tan^{2}{\left(\frac{6}{x^{7}} \right)} + 1\right)^{2}} - \frac{42 \left(1 - \tan^{2}{\left(\frac{6}{x^{7}} \right)}\right)}{\tan^{2}{\left(\frac{6}{x^{7}} \right)} + 1} + 21 + \frac{84 \tan^{2}{\left(\frac{6}{x^{7}} \right)}}{\left(\tan^{2}{\left(\frac{6}{x^{7}} \right)} + 1\right)^{2}}\right)} 
   /6 \
cot|--|
   | 7|
   \x /
-------
   42
cot⁡(6x7)42\frac{\cot{\left(\frac{6}{x^{7}} \right)}}{42} 
                     /12\                  
                  sin|--|                  
                     | 7|                  
                     \x /                  
-------------------------------------------
           /12\         2/12\         2/12\
21 - 42*cos|--| + 21*cos |--| + 21*sin |--|
           | 7|          | 7|          | 7|
           \x /          \x /          \x /
sin⁡(12x7)21sin⁡2(12x7)+21cos⁡2(12x7)−42cos⁡(12x7)+21\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \sin^{2}{\left(\frac{12}{x^{7}} \right)} + 21 \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 42 \cos{\left(\frac{12}{x^{7}} \right)} + 21} 
                          1                           
------------------------------------------------------
/          42           21            21     \    /12\
|21 - ------------ + -------- + -------------|*csc|--|
|        /pi   12\      2/12\      2/pi   12\|    | 7|
|     csc|-- - --|   csc |--|   csc |-- - --||    \x /
|        |2     7|       | 7|       |2     7||        
\        \     x /       \x /       \     x //
1(21−42csc⁡(π2−12x7)+21csc⁡2(π2−12x7)+21csc⁡2(12x7))csc⁡(12x7)\frac{1}{\left(21 - \frac{42}{\csc{\left(\frac{\pi}{2} - \frac{12}{x^{7}} \right)}} + \frac{21}{\csc^{2}{\left(\frac{\pi}{2} - \frac{12}{x^{7}} \right)}} + \frac{21}{\csc^{2}{\left(\frac{12}{x^{7}} \right)}}\right) \csc{\left(\frac{12}{x^{7}} \right)}} 
     /12\  
  sin|--|  
     | 7|  
     \x /  
-----------
      2/6 \
84*sin |--|
       | 7|
       \x /
sin⁡(12x7)84sin⁡2(6x7)\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{84 \sin^{2}{\left(\frac{6}{x^{7}} \right)}} 
                          1                           
------------------------------------------------------
/        42        21            21     \    /12   pi\
|21 - ------- + -------- + -------------|*sec|-- - --|
|        /12\      2/12\      2/12   pi\|    | 7   2 |
|     sec|--|   sec |--|   sec |-- - --||    \x      /
|        | 7|       | 7|       | 7   2 ||             
\        \x /       \x /       \x      //
1(21+21sec⁡2(−π2+12x7)−42sec⁡(12x7)+21sec⁡2(12x7))sec⁡(−π2+12x7)\frac{1}{\left(21 + \frac{21}{\sec^{2}{\left(- \frac{\pi}{2} + \frac{12}{x^{7}} \right)}} - \frac{42}{\sec{\left(\frac{12}{x^{7}} \right)}} + \frac{21}{\sec^{2}{\left(\frac{12}{x^{7}} \right)}}\right) \sec{\left(- \frac{\pi}{2} + \frac{12}{x^{7}} \right)}} 
   /6    pi\
sec|-- - --|
   | 7   2 |
   \x      /
------------
       /6 \ 
 42*sec|--| 
       | 7| 
       \x /
sec⁡(−π2+6x7)42sec⁡(6x7)\frac{\sec{\left(- \frac{\pi}{2} + \frac{6}{x^{7}} \right)}}{42 \sec{\left(\frac{6}{x^{7}} \right)}} 
                     /12   pi\                  
                  cos|-- - --|                  
                     | 7   2 |                  
                     \x      /                  
------------------------------------------------
           /12\         2/12\         2/12   pi\
21 - 42*cos|--| + 21*cos |--| + 21*cos |-- - --|
           | 7|          | 7|          | 7   2 |
           \x /          \x /          \x      /
cos⁡(−π2+12x7)21cos⁡2(12x7)−42cos⁡(12x7)+21cos⁡2(−π2+12x7)+21\frac{\cos{\left(- \frac{\pi}{2} + \frac{12}{x^{7}} \right)}}{21 \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 42 \cos{\left(\frac{12}{x^{7}} \right)} + 21 \cos^{2}{\left(- \frac{\pi}{2} + \frac{12}{x^{7}} \right)} + 21} 
                          /12\                       
                       sin|--|                       
                          | 7|                       
                          \x /                       
-----------------------------------------------------
           /pi   12\         2/12\         2/pi   12\
21 - 42*sin|-- + --| + 21*sin |--| + 21*sin |-- + --|
           |2     7|          | 7|          |2     7|
           \     x /          \x /          \     x /
sin⁡(12x7)21sin⁡2(12x7)+21sin⁡2(π2+12x7)−42sin⁡(π2+12x7)+21\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \sin^{2}{\left(\frac{12}{x^{7}} \right)} + 21 \sin^{2}{\left(\frac{\pi}{2} + \frac{12}{x^{7}} \right)} - 42 \sin{\left(\frac{\pi}{2} + \frac{12}{x^{7}} \right)} + 21} 
       /6 \    
    cos|--|    
       | 7|    
       \x /    
---------------
      /6    pi\
42*cos|-- - --|
      | 7   2 |
      \x      /
cos⁡(6x7)42cos⁡(−π2+6x7)\frac{\cos{\left(\frac{6}{x^{7}} \right)}}{42 \cos{\left(- \frac{\pi}{2} + \frac{6}{x^{7}} \right)}} 
                                        /6 \                                    
                                   2*cot|--|                                    
                                        | 7|                                    
                                        \x /                                    
--------------------------------------------------------------------------------
               /                                            2                  \
               |        /        2/6 \\      /        2/6 \\            2/6 \  |
               |     42*|-1 + cot |--||   21*|-1 + cot |--||      84*cot |--|  |
               |        |         | 7||      |         | 7||             | 7|  |
/       2/6 \\ |        \         \x //      \         \x //             \x /  |
|1 + cot |--||*|21 - ------------------ + ------------------- + ---------------|
|        | 7|| |               2/6 \                      2                   2|
\        \x // |        1 + cot |--|        /       2/6 \\      /       2/6 \\ |
               |                | 7|        |1 + cot |--||      |1 + cot |--|| |
               |                \x /        |        | 7||      |        | 7|| |
               \                            \        \x //      \        \x // /
2cot⁡(6x7)(cot⁡2(6x7)+1)(21(cot⁡2(6x7)−1)2(cot⁡2(6x7)+1)2−42(cot⁡2(6x7)−1)cot⁡2(6x7)+1+21+84cot⁡2(6x7)(cot⁡2(6x7)+1)2)\frac{2 \cot{\left(\frac{6}{x^{7}} \right)}}{\left(\cot^{2}{\left(\frac{6}{x^{7}} \right)} + 1\right) \left(\frac{21 \left(\cot^{2}{\left(\frac{6}{x^{7}} \right)} - 1\right)^{2}}{\left(\cot^{2}{\left(\frac{6}{x^{7}} \right)} + 1\right)^{2}} - \frac{42 \left(\cot^{2}{\left(\frac{6}{x^{7}} \right)} - 1\right)}{\cot^{2}{\left(\frac{6}{x^{7}} \right)} + 1} + 21 + \frac{84 \cot^{2}{\left(\frac{6}{x^{7}} \right)}}{\left(\cot^{2}{\left(\frac{6}{x^{7}} \right)} + 1\right)^{2}}\right)} 
       /6 \    
    csc|--|    
       | 7|    
       \x /    
---------------
      /pi   6 \
42*csc|-- - --|
      |2     7|
      \     x /
csc⁡(6x7)42csc⁡(π2−6x7)\frac{\csc{\left(\frac{6}{x^{7}} \right)}}{42 \csc{\left(\frac{\pi}{2} - \frac{6}{x^{7}} \right)}} 
    1     
----------
      /6 \
42*tan|--|
      | 7|
      \x /
142tan⁡(6x7)\frac{1}{42 \tan{\left(\frac{6}{x^{7}} \right)}} 
                     1                      
--------------------------------------------
/        42        21         21   \    /12\
|21 - ------- + -------- + --------|*csc|--|
|        /12\      2/12\      2/12\|    | 7|
|     sec|--|   csc |--|   sec |--||    \x /
|        | 7|       | 7|       | 7||        
\        \x /       \x /       \x //
1(21−42sec⁡(12x7)+21sec⁡2(12x7)+21csc⁡2(12x7))csc⁡(12x7)\frac{1}{\left(21 - \frac{42}{\sec{\left(\frac{12}{x^{7}} \right)}} + \frac{21}{\sec^{2}{\left(\frac{12}{x^{7}} \right)}} + \frac{21}{\csc^{2}{\left(\frac{12}{x^{7}} \right)}}\right) \csc{\left(\frac{12}{x^{7}} \right)}} 
1/((21 - 42/sec(12/x^7) + 21/csc(12/x^7)^2 + 21/sec(12/x^7)^2)*csc(12/x^7))
Compilar la expresión [src] 
                     /12\                  
                  sin|--|                  
                     | 7|                  
                     \x /                  
-------------------------------------------
           /12\         2/12\         2/12\
21 - 42*cos|--| + 21*cos |--| + 21*sin |--|
           | 7|          | 7|          | 7|
           \x /          \x /          \x /
sin⁡(12x7)21sin⁡2(12x7)+21cos⁡2(12x7)−42cos⁡(12x7)+21\frac{\sin{\left(\frac{12}{x^{7}} \right)}}{21 \sin^{2}{\left(\frac{12}{x^{7}} \right)} + 21 \cos^{2}{\left(\frac{12}{x^{7}} \right)} - 42 \cos{\left(\frac{12}{x^{7}} \right)} + 21} 
sin(12/x^7)/(21 - 42*cos(12/x^7) + 21*cos(12/x^7)^2 + 21*sin(12/x^7)^2)
    © Sr Examen – Калькулятор