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Resolución de integrales/ (2-5x)/ 1/(sqrt((2-5x)^7)^1/3)

Integral de 1/(sqrt((2-5x)^7)^1/3) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                         
  /                         
 |                          
 |            1             
 |  --------------------- dx
 |      _________________   
 |     /    ____________    
 |  3 /    /          7     
 |  \/   \/  (2 - 5*x)      
 |                          
/                           
0
∫011(2−5x)73 dx\int\limits_{0}^{1} \frac{1}{\sqrt[3]{\sqrt{\left(2 - 5 x\right)^{7}}}}\, dx 
Integral(1/((sqrt((2 - 5*x)^7))^(1/3)), (x, 0, 1))
Respuesta [src] 
                                    5/6                   2/3  5/6            
       2/3          /    5/6\   (-3)   *Gamma(-1/6)   (-1)   *2   *Gamma(-1/6)
oo*(-1)    - oo*sign\(-5)   / - ------------------- + ------------------------
                                   15*Gamma(5/6)           10*Gamma(5/6)
−∞sign⁡((−5)56)+(−1)23⋅256Γ(−16)10Γ(56)−(−3)56Γ(−16)15Γ(56)+∞(−1)23- \infty \operatorname{sign}{\left(\left(-5\right)^{\frac{5}{6}} \right)} + \frac{\left(-1\right)^{\frac{2}{3}} \cdot 2^{\frac{5}{6}} \Gamma\left(- \frac{1}{6}\right)}{10 \Gamma\left(\frac{5}{6}\right)} - \frac{\left(-3\right)^{\frac{5}{6}} \Gamma\left(- \frac{1}{6}\right)}{15 \Gamma\left(\frac{5}{6}\right)} + \infty \left(-1\right)^{\frac{2}{3}} 
=
= 
                                    5/6                   2/3  5/6            
       2/3          /    5/6\   (-3)   *Gamma(-1/6)   (-1)   *2   *Gamma(-1/6)
oo*(-1)    - oo*sign\(-5)   / - ------------------- + ------------------------
                                   15*Gamma(5/6)           10*Gamma(5/6)
−∞sign⁡((−5)56)+(−1)23⋅256Γ(−16)10Γ(56)−(−3)56Γ(−16)15Γ(56)+∞(−1)23- \infty \operatorname{sign}{\left(\left(-5\right)^{\frac{5}{6}} \right)} + \frac{\left(-1\right)^{\frac{2}{3}} \cdot 2^{\frac{5}{6}} \Gamma\left(- \frac{1}{6}\right)}{10 \Gamma\left(\frac{5}{6}\right)} - \frac{\left(-3\right)^{\frac{5}{6}} \Gamma\left(- \frac{1}{6}\right)}{15 \Gamma\left(\frac{5}{6}\right)} + \infty \left(-1\right)^{\frac{2}{3}} 
oo*(-1)^(2/3) - oo*sign((-5)^(5/6)) - (-3)^(5/6)*gamma(-1/6)/(15*gamma(5/6)) + (-1)^(2/3)*2^(5/6)*gamma(-1/6)/(10*gamma(5/6))
Respuesta numérica [src] 
(3.5598700394849 - 1.35671508576365j)
(3.5598700394849 - 1.35671508576365j)

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

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