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Resolución de integrales/ (exp(0,7*x)+5,57271-4,92858*x)*cos(2,1*p-p*x)

Integral de (exp(0,7*x)+5,57271-4,92858*x)*cos(2,1*p-p*x) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  21                                                
  --                                                
  10                                                
   /                                                
  |                                                 
  |  / 7*x                      \                   
  |  | ---                      |                   
  |  |  10                      |    /21*p      \   
  |  \e    + 5.57271 - 4.92858*x/*cos|---- - p*x| dx
  |                                  \ 10       /   
  |                                                 
 /                                                  
9/10
∫9102110(−4.92858x+(e7x10+5.57271))cos⁡(−px+21p10) dx\int\limits_{\frac{9}{10}}^{\frac{21}{10}} \left(- 4.92858 x + \left(e^{\frac{7 x}{10}} + 5.57271\right)\right) \cos{\left(- p x + \frac{21 p}{10} \right)}\, dx 
Integral((exp(7*x/10) + 5.57271 - 4.92858*x)*cos(21*p/10 - p*x), (x, 9/10, 21/10))
Respuesta (Indefinida) [src] 
                                                                                                                                                    /       /     //   /   7*x                        7*x                                          7*x\              \                            \                            \                                                                          
                                                                                                                                                    |       |     ||   |   ---                        ---                                          ---|              |                            |                            |                                                                          
                                                                                                                                                    |       |     ||   |    10     /  147   7*x\       10     /  147   7*x\         /  147   7*x\   10|              |                            |                            |                                                                          
                                                                                                                                                    |       |     ||   |5*e   *sinh|- --- + ---|   x*e   *sinh|- --- + ---|   x*cosh|- --- + ---|*e   |              |                            |                            |                                                                          
                                                                                                                                                    |       |     ||   |           \  100    10/              \  100    10/         \  100    10/     |          -7*I|                            |                            |                                                                          
                                                                                                                                                    |       |     ||-I*|------------------------ + ------------------------ - ------------------------|  for p = ----|                            |                            |                                                                          
                                                                                                                                                    |       |     ||   \           7                          2                          2            /           10 |                            |                            |                                                                          
                                                                                                                                                    |       |     ||                                                                                                 |                            |                            |                                                                          
                                                                                                                                                    |       |     ||  /   7*x                        7*x                                          7*x\               |                            |                            |                                                                          
                                                                                                                                                    |       |     ||  |   ---                        ---                                          ---|               |                            |                            |                                                                          
                                                                                                                                                    |       |     ||  |    10     /  147   7*x\       10     /  147   7*x\         /  147   7*x\   10|               |                            |                            |                                                                          
                                                                                                                                                    |       |     ||  |5*e   *sinh|- --- + ---|   x*e   *sinh|- --- + ---|   x*cosh|- --- + ---|*e   |               |                            |                            |                                                                          
                                                                                                                                                    |       |10*p*|<  |           \  100    10/              \  100    10/         \  100    10/     |           7*I |                            |                            |                                                                          
                                                                                                                                                    |       |     ||I*|------------------------ + ------------------------ - ------------------------|   for p = --- |                            |                            |                                                                          
                                                                                                                                                    |       |     ||  \           7                          2                          2            /            10 |                            |                            |                                                                          
                                                                                                                                                    |       |     ||                                                                                                 |                            |                            |                                                                          
                                                                                                                                                    |       |     ||                 7*x                                              7*x                            |                            |                            |                                                                          
                                                                                                                                                    |       |     ||                 ---                                              ---                            |                            |                            |                                                                          
                                                                                                                                                    |       |     ||                  10    /  21*p      \            /  21*p      \   10                            |                            |                            |                                                                          
                                                                                                                                                    |       |     ||             70*e   *sin|- ---- + p*x|   100*p*cos|- ---- + p*x|*e                               |                            |                            |                                                                          
                                                                                                                                                    |       |     ||                        \   10       /            \   10       /                                 |                         7*x|                            |                                                                          
                                                                                                                                                    |       |     ||             ------------------------- - ----------------------------                 otherwise  |                         ---|                            |                                                                          
                                                                                                                                                    |       |     ||                              2                            2                                     |         /  21*p      \   10|       7*x                  |                                                                          
                                                                                                                                                    |       |     ||                    49 + 100*p                   49 + 100*p                                      |   10*cos|- ---- + p*x|*e   |       ---                  |                                                                          
  /                                                              //         2                    \                                                  |       |     \\                                                                                                 /         \   10       /     |        10    /  21*p      \|                         7*x                                              
 |                                                               ||        x                     |                                                  |  10*p*|--------------------------------------------------------------------------------------------------------- + -------------------------|   10*e   *sin|- ---- + p*x||                         ---                                              
 | / 7*x                      \                                  ||        --           for p = 0|           //        x          for p = 0\        |       \                                                    7                                                                   7            /              \   10       /|         /  21*p      \   10             //         x           for p = 0\
 | | ---                      |                                  ||        2                     |           ||                            |   10*p*|- -------------------------------------------------------------------------------------------------------------------------------------------- + -------------------------|   10*cos|- ---- + p*x|*e                ||                              |
 | |  10                      |    /21*p      \                  ||                              |           ||   /  21*p      \           |        \                                                                       7                                                                                     7            /         \   10       /                  ||   /p*(-21 + 10*x)\           |
 | \e    + 5.57271 - 4.92858*x/*cos|---- - p*x| dx = C + 4.92858*|<    /  /  21    \\            | + 5.57271*|
∫(−4.92858x+(e7x10+5.57271))cos⁡(−px+21p10) dx=C+10p(−10p(10p({−i(xe7x10sinh⁡(7x10−147100)2−xe7x10cosh⁡(7x10−147100)2+5e7x10sinh⁡(7x10−147100)7)for p=−7i10i(xe7x10sinh⁡(7x10−147100)2−xe7x10cosh⁡(7x10−147100)2+5e7x10sinh⁡(7x10−147100)7)for p=7i10−100pe7x10cos⁡(px−21p10)100p2+49+70e7x10sin⁡(px−21p10)100p2+49otherwise)7+10e7x10cos⁡(px−21p10)7)7+10e7x10sin⁡(px−21p10)7)7−4.92858x({xfor p=0sin⁡(p(10x−21)10)potherwise)+5.57271({xfor p=0sin⁡(px−21p10)potherwise)+4.92858({x22for p=0−cos⁡(p(x−2110))p2otherwise)+10e7x10cos⁡(px−21p10)7\int \left(- 4.92858 x + \left(e^{\frac{7 x}{10}} + 5.57271\right)\right) \cos{\left(- p x + \frac{21 p}{10} \right)}\, dx = C + \frac{10 p \left(- \frac{10 p \left(\frac{10 p \left(\begin{cases} - i \left(\frac{x e^{\frac{7 x}{10}} \sinh{\left(\frac{7 x}{10} - \frac{147}{100} \right)}}{2} - \frac{x e^{\frac{7 x}{10}} \cosh{\left(\frac{7 x}{10} - \frac{147}{100} \right)}}{2} + \frac{5 e^{\frac{7 x}{10}} \sinh{\left(\frac{7 x}{10} - \frac{147}{100} \right)}}{7}\right) & \text{for}\: p = - \frac{7 i}{10} \\i \left(\frac{x e^{\frac{7 x}{10}} \sinh{\left(\frac{7 x}{10} - \frac{147}{100} \right)}}{2} - \frac{x e^{\frac{7 x}{10}} \cosh{\left(\frac{7 x}{10} - \frac{147}{100} \right)}}{2} + \frac{5 e^{\frac{7 x}{10}} \sinh{\left(\frac{7 x}{10} - \frac{147}{100} \right)}}{7}\right) & \text{for}\: p = \frac{7 i}{10} \\- \frac{100 p e^{\frac{7 x}{10}} \cos{\left(p x - \frac{21 p}{10} \right)}}{100 p^{2} + 49} + \frac{70 e^{\frac{7 x}{10}} \sin{\left(p x - \frac{21 p}{10} \right)}}{100 p^{2} + 49} & \text{otherwise} \end{cases}\right)}{7} + \frac{10 e^{\frac{7 x}{10}} \cos{\left(p x - \frac{21 p}{10} \right)}}{7}\right)}{7} + \frac{10 e^{\frac{7 x}{10}} \sin{\left(p x - \frac{21 p}{10} \right)}}{7}\right)}{7} - 4.92858 x \left(\begin{cases} x & \text{for}\: p = 0 \\\frac{\sin{\left(\frac{p \left(10 x - 21\right)}{10} \right)}}{p} & \text{otherwise} \end{cases}\right) + 5.57271 \left(\begin{cases} x & \text{for}\: p = 0 \\\frac{\sin{\left(p x - \frac{21 p}{10} \right)}}{p} & \text{otherwise} \end{cases}\right) + 4.92858 \left(\begin{cases} \frac{x^{2}}{2} & \text{for}\: p = 0 \\- \frac{\cos{\left(p \left(x - \frac{21}{10}\right) \right)}}{p^{2}} & \text{otherwise} \end{cases}\right) + \frac{10 e^{\frac{7 x}{10}} \cos{\left(p x - \frac{21 p}{10} \right)}}{7}
Simplificar
Respuesta [src] 
/                                                                                                                                                                                                                                                                                                                                                                                                                                     147                      63                                                                                                                                                                                                                                                                                                                                                                                                                  
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|                                                                                                                                                                                                                                                                                                                                                                                                                                     100                     100                                                                                                                                                                                                                                                                                                                                                                                                                  
|                                                                                                                                                                                                                                                                                                                                                                                                       -2.184192 + 1.42857142857143*e    - 1.42857142857143*e                                                                                                                                                                                                                                                                                                                                                                                                            for p = 0
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|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         63                                                      63                                                               63                                                      63                      
<                                                                                                                                                                                                                                                                    147                                                     147                                                                                                                                                                                                                                                                                                                                         ---                                                     ---                                                              ---                                                     ---                      
|                                                                                           /6*p\                                                                                                                                                                    ---                                                     ---                                                 4    /6*p\                                              2    /6*p\                                                  /6*p\                                              3    /6*p\                                              5    /6*p\                                            5  100    /6*p\                                         3  100    /6*p\                                         4    /6*p\  100                                         2    /6*p\  100                      
|                                                                          40588975589.4*cos|---|                                                    4                                                       2                                                    4  100                                                  2  100                                 169050294000.0*p *cos|---|                              165669288120.0*p *cos|---|                               9363585084.84*p*sin|---|                               38218714632.0*p *sin|---|                               38998688400.0*p *sin|---|                             34300000000.0*p *e   *sin|---|                          16807000000.0*p *e   *sin|---|                          24010000000.0*p *cos|---|*e                             11764900000.0*p *cos|---|*e                         
|                      40588975589.4                                                        \ 5 /                                    169050294000.0*p                                        165669288120.0*p                                      24010000000.0*p *e                                      11764900000.0*p *e                                                         \ 5 /                                                   \ 5 /                                                  \ 5 /                                                   \ 5 /                                                   \ 5 /                                                      \ 5 /                                                   \ 5 /                                              \ 5 /                                                   \ 5 /                           
|- ----------------------------------------------------- + ----------------------------------------------------- - ----------------------------------------------------- - ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- - ----------------------------------------------------- - -----------------------------------------------------  otherwise
|                 6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2           
\  34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p
{−1.42857142857143e63100−2.184192+1.42857142857143e147100for p=038998688400.0p5sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+34300000000.0p5e63100sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−24010000000.0p4e63100cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+169050294000.0p4cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−169050294000.0p434300000000.0p6+33614000000.0p4+8235430000.0p2+24010000000.0p4e14710034300000000.0p6+33614000000.0p4+8235430000.0p2+16807000000.0p3e63100sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+38218714632.0p3sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−11764900000.0p2e63100cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+165669288120.0p2cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−165669288120.0p234300000000.0p6+33614000000.0p4+8235430000.0p2+11764900000.0p2e14710034300000000.0p6+33614000000.0p4+8235430000.0p2+9363585084.84psin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+40588975589.4cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−40588975589.434300000000.0p6+33614000000.0p4+8235430000.0p2otherwise\begin{cases} - 1.42857142857143 e^{\frac{63}{100}} - 2.184192 + 1.42857142857143 e^{\frac{147}{100}} & \text{for}\: p = 0 \\\frac{38998688400.0 p^{5} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{34300000000.0 p^{5} e^{\frac{63}{100}} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{24010000000.0 p^{4} e^{\frac{63}{100}} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{169050294000.0 p^{4} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{169050294000.0 p^{4}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{24010000000.0 p^{4} e^{\frac{147}{100}}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{16807000000.0 p^{3} e^{\frac{63}{100}} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{38218714632.0 p^{3} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{11764900000.0 p^{2} e^{\frac{63}{100}} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{165669288120.0 p^{2} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{165669288120.0 p^{2}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{11764900000.0 p^{2} e^{\frac{147}{100}}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{9363585084.84 p \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{40588975589.4 \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{40588975589.4}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} & \text{otherwise} \end{cases} 
=
= 
/                                                                                                                                                                                                                                                                                                                                                                                                                                     147                      63                                                                                                                                                                                                                                                                                                                                                                                                                  
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|                                                                                                                                                                                                                                                                                                                                                                                                                                     100                     100                                                                                                                                                                                                                                                                                                                                                                                                                  
|                                                                                                                                                                                                                                                                                                                                                                                                       -2.184192 + 1.42857142857143*e    - 1.42857142857143*e                                                                                                                                                                                                                                                                                                                                                                                                            for p = 0
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  
|                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         63                                                      63                                                               63                                                      63                      
<                                                                                                                                                                                                                                                                    147                                                     147                                                                                                                                                                                                                                                                                                                                         ---                                                     ---                                                              ---                                                     ---                      
|                                                                                           /6*p\                                                                                                                                                                    ---                                                     ---                                                 4    /6*p\                                              2    /6*p\                                                  /6*p\                                              3    /6*p\                                              5    /6*p\                                            5  100    /6*p\                                         3  100    /6*p\                                         4    /6*p\  100                                         2    /6*p\  100                      
|                                                                          40588975589.4*cos|---|                                                    4                                                       2                                                    4  100                                                  2  100                                 169050294000.0*p *cos|---|                              165669288120.0*p *cos|---|                               9363585084.84*p*sin|---|                               38218714632.0*p *sin|---|                               38998688400.0*p *sin|---|                             34300000000.0*p *e   *sin|---|                          16807000000.0*p *e   *sin|---|                          24010000000.0*p *cos|---|*e                             11764900000.0*p *cos|---|*e                         
|                      40588975589.4                                                        \ 5 /                                    169050294000.0*p                                        165669288120.0*p                                      24010000000.0*p *e                                      11764900000.0*p *e                                                         \ 5 /                                                   \ 5 /                                                  \ 5 /                                                   \ 5 /                                                   \ 5 /                                                      \ 5 /                                                   \ 5 /                                              \ 5 /                                                   \ 5 /                           
|- ----------------------------------------------------- + ----------------------------------------------------- - ----------------------------------------------------- - ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- + ----------------------------------------------------- - ----------------------------------------------------- - -----------------------------------------------------  otherwise
|                 6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2                  6                  4                 2           
\  34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p    34300000000.0*p  + 33614000000.0*p  + 8235430000.0*p
{−1.42857142857143e63100−2.184192+1.42857142857143e147100for p=038998688400.0p5sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+34300000000.0p5e63100sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−24010000000.0p4e63100cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+169050294000.0p4cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−169050294000.0p434300000000.0p6+33614000000.0p4+8235430000.0p2+24010000000.0p4e14710034300000000.0p6+33614000000.0p4+8235430000.0p2+16807000000.0p3e63100sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+38218714632.0p3sin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−11764900000.0p2e63100cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+165669288120.0p2cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−165669288120.0p234300000000.0p6+33614000000.0p4+8235430000.0p2+11764900000.0p2e14710034300000000.0p6+33614000000.0p4+8235430000.0p2+9363585084.84psin⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2+40588975589.4cos⁡(6p5)34300000000.0p6+33614000000.0p4+8235430000.0p2−40588975589.434300000000.0p6+33614000000.0p4+8235430000.0p2otherwise\begin{cases} - 1.42857142857143 e^{\frac{63}{100}} - 2.184192 + 1.42857142857143 e^{\frac{147}{100}} & \text{for}\: p = 0 \\\frac{38998688400.0 p^{5} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{34300000000.0 p^{5} e^{\frac{63}{100}} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{24010000000.0 p^{4} e^{\frac{63}{100}} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{169050294000.0 p^{4} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{169050294000.0 p^{4}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{24010000000.0 p^{4} e^{\frac{147}{100}}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{16807000000.0 p^{3} e^{\frac{63}{100}} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{38218714632.0 p^{3} \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{11764900000.0 p^{2} e^{\frac{63}{100}} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{165669288120.0 p^{2} \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{165669288120.0 p^{2}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{11764900000.0 p^{2} e^{\frac{147}{100}}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{9363585084.84 p \sin{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} + \frac{40588975589.4 \cos{\left(\frac{6 p}{5} \right)}}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} - \frac{40588975589.4}{34300000000.0 p^{6} + 33614000000.0 p^{4} + 8235430000.0 p^{2}} & \text{otherwise} \end{cases} 
Piecewise((-2.184192 + 1.42857142857143*exp(147/100) - 1.42857142857143*exp(63/100), p = 0), (-40588975589.4/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 40588975589.4*cos(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) - 169050294000.0*p^4/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) - 165669288120.0*p^2/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 24010000000.0*p^4*exp(147/100)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 11764900000.0*p^2*exp(147/100)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 169050294000.0*p^4*cos(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 165669288120.0*p^2*cos(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 9363585084.84*p*sin(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 38218714632.0*p^3*sin(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 38998688400.0*p^5*sin(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 34300000000.0*p^5*exp(63/100)*sin(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) + 16807000000.0*p^3*exp(63/100)*sin(6*p/5)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) - 24010000000.0*p^4*cos(6*p/5)*exp(63/100)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2) - 11764900000.0*p^2*cos(6*p/5)*exp(63/100)/(34300000000.0*p^6 + 33614000000.0*p^4 + 8235430000.0*p^2), True))

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

    © Sr Examen – Калькулятор