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Resolución de integrales/ (5x-3)/ 1/((5x-3)^16)

Integral de 1/((5x-3)^16) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  0               
  /               
 |                
 |       1        
 |  ----------- dx
 |           16   
 |  (5*x - 3)     
 |                
/                 
0
∫001(5x−3)16 dx\int\limits_{0}^{0} \frac{1}{\left(5 x - 3\right)^{16}}\, dx 
Integral(1/((5*x - 3)^16), (x, 0, 0))
Respuesta (Indefinida) [src] 
  /                                                                                                                                                                                                                                                                                                                                                 
 |                                                                                                                                                                                                                                                                                                                                                  
 |      1                                                                                                                                                                            1                                                                                                                                                              
 | ----------- dx = C - ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 |          16                                         10                    8                    12                    6                   14                   4                 2                                  3                  15                   5                   13                    7                    11                    9
 | (5*x - 3)            -1076168025 - 534469482421875*x   - 412305029296875*x  - 224945068359375*x   - 115445408203125*x  - 20599365234375*x   - 11334640078125*x  - 313882340625*x  + 26904200625*x + 2266928015625*x  + 2288818359375*x   + 41560346953125*x  + 86517333984375*x   + 247383017578125*x  + 404901123046875*x   + 534469482421875*x 
 |                                                                                                                                                                                                                                                                                                                                                  
/
∫1(5x−3)16 dx=C−12288818359375x15−20599365234375x14+86517333984375x13−224945068359375x12+404901123046875x11−534469482421875x10+534469482421875x9−412305029296875x8+247383017578125x7−115445408203125x6+41560346953125x5−11334640078125x4+2266928015625x3−313882340625x2+26904200625x−1076168025\int \frac{1}{\left(5 x - 3\right)^{16}}\, dx = C - \frac{1}{2288818359375 x^{15} - 20599365234375 x^{14} + 86517333984375 x^{13} - 224945068359375 x^{12} + 404901123046875 x^{11} - 534469482421875 x^{10} + 534469482421875 x^{9} - 412305029296875 x^{8} + 247383017578125 x^{7} - 115445408203125 x^{6} + 41560346953125 x^{5} - 11334640078125 x^{4} + 2266928015625 x^{3} - 313882340625 x^{2} + 26904200625 x - 1076168025}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.900.0000000002.5e-8
Trazar el gráfico f(x)
Respuesta [src] 
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Respuesta numérica [src] 
0.0
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    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

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