Sr Examen

Otras calculadoras

Resolución de integrales/ x*e^-x/ (x*x*e^-x)/sqrt(3+x^8)

Integral de (x*x*e^-x)/sqrt(3+x^8) dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
 oo               
  /               
 |                
 |         -x     
 |    x*x*E       
 |  ----------- dx
 |     ________   
 |    /      8    
 |  \/  3 + x     
 |                
/                 
0
∫0∞e−xxxx8+3 dx\int\limits_{0}^{\infty} \frac{e^{- x} x x}{\sqrt{x^{8} + 3}}\, dx 
Integral(((x*x)*E^(-x))/sqrt(3 + x^8), (x, 0, oo))
Respuesta (Indefinida) [src] 
  /                       /              
 |                       |               
 |        -x             |     2  -x     
 |   x*x*E               |    x *e       
 | ----------- dx = C +  | ----------- dx
 |    ________           |    ________   
 |   /      8            |   /      8    
 | \/  3 + x             | \/  3 + x     
 |                       |               
/                       /
∫e−xxxx8+3 dx=C+∫x2e−xx8+3 dx\int \frac{e^{- x} x x}{\sqrt{x^{8} + 3}}\, dx = C + \int \frac{x^{2} e^{- x}}{\sqrt{x^{8} + 3}}\, dx
Simplificar
Respuesta [src] 
 7/8  __9, 1 /                   5/8                       |           \
3   */__     |                                             | 3/16777216|
     \_|1, 9 \1/8, 0, 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8    |           /
------------------------------------------------------------------------
                                      4                                 
                                 96*pi
378G1,99,1(5818,0,18,14,38,12,58,34,78|316777216)96π4\frac{3^{\frac{7}{8}} {G_{1, 9}^{9, 1}\left(\begin{matrix} \frac{5}{8} & \\\frac{1}{8}, 0, \frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{1}{2}, \frac{5}{8}, \frac{3}{4}, \frac{7}{8} & \end{matrix} \middle| {\frac{3}{16777216}} \right)}}{96 \pi^{4}} 
=
= 
 7/8  __9, 1 /                   5/8                       |           \
3   */__     |                                             | 3/16777216|
     \_|1, 9 \1/8, 0, 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8    |           /
------------------------------------------------------------------------
                                      4                                 
                                 96*pi
378G1,99,1(5818,0,18,14,38,12,58,34,78|316777216)96π4\frac{3^{\frac{7}{8}} {G_{1, 9}^{9, 1}\left(\begin{matrix} \frac{5}{8} & \\\frac{1}{8}, 0, \frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{1}{2}, \frac{5}{8}, \frac{3}{4}, \frac{7}{8} & \end{matrix} \middle| {\frac{3}{16777216}} \right)}}{96 \pi^{4}} 
3^(7/8)*meijerg(((5/8,), ()), ((1/8, 0, 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, 7/8), ()), 3/16777216)/(96*pi^4)

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

    © Sr Examen – Калькулятор