Sr Examen
Integral de (x*x*e^-x)/sqrt(3+x^8) dx
Solución
Ha introducido
[src]
oo / | | -x | x*x*E | ----------- dx | ________ | / 8 | \/ 3 + x | / 0
$$\int\limits_{0}^{\infty} \frac{e^{- x} x x}{\sqrt{x^{8} + 3}}\, dx$$
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 | | / /
$$\int \frac{e^{- x} x x}{\sqrt{x^{8} + 3}}\, dx = C + \int \frac{x^{2} e^{- x}}{\sqrt{x^{8} + 3}}\, dx$$
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
$$\frac{3^{\frac{7}{8}} {G_{1, 9}^{9, 1}\left(\begin{matrix} \frac{5}{8} & \\\frac{1}{8}, 0, \frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{1}{2}, \frac{5}{8}, \frac{3}{4}, \frac{7}{8} & \end{matrix} \middle| {\frac{3}{16777216}} \right)}}{96 \pi^{4}}$$
=
=
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
$$\frac{3^{\frac{7}{8}} {G_{1, 9}^{9, 1}\left(\begin{matrix} \frac{5}{8} & \\\frac{1}{8}, 0, \frac{1}{8}, \frac{1}{4}, \frac{3}{8}, \frac{1}{2}, \frac{5}{8}, \frac{3}{4}, \frac{7}{8} & \end{matrix} \middle| {\frac{3}{16777216}} \right)}}{96 \pi^{4}}$$
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.