Sr Examen
Integral de (sinx)/((1+x)*(3+x)) dx
Solución
Ha introducido
[src]
oo / | | sin(x) | --------------- dx | (1 + x)*(3 + x) | / 0
$$\int\limits_{0}^{\infty} \frac{\sin{\left(x \right)}}{\left(x + 1\right) \left(x + 3\right)}\, dx$$
Integral(sin(x)/(((1 + x)*(3 + x))), (x, 0, oo))
Respuesta (Indefinida)
[src]
/ / | | | sin(x) | sin(x) | --------------- dx = C + | --------------- dx | (1 + x)*(3 + x) | (1 + x)*(3 + x) | | / /
$$\int \frac{\sin{\left(x \right)}}{\left(x + 1\right) \left(x + 3\right)}\, dx = C + \int \frac{\sin{\left(x \right)}}{\left(x + 1\right) \left(x + 3\right)}\, dx$$
Respuesta
[src]
__2, 3 /0, -1/2, 0 1/2 | \ __2, 3 /0, 0, 1/2 1/2 | \
/__ | | 4| /__ | | 4/9|
\_|4, 2 \ -1/2, 0 | / \_|4, 2 \ 0, 1/2 | /
- ----------------------------- - ------------------------------
____ ____
2*\/ pi 6*\/ pi
$$- \frac{{G_{4, 2}^{2, 3}\left(\begin{matrix} 0, - \frac{1}{2}, 0 & \frac{1}{2} \\- \frac{1}{2}, 0 & \end{matrix} \middle| {4} \right)}}{2 \sqrt{\pi}} - \frac{{G_{4, 2}^{2, 3}\left(\begin{matrix} 0, 0, \frac{1}{2} & \frac{1}{2} \\0, \frac{1}{2} & \end{matrix} \middle| {\frac{4}{9}} \right)}}{6 \sqrt{\pi}}$$
=
=
__2, 3 /0, -1/2, 0 1/2 | \ __2, 3 /0, 0, 1/2 1/2 | \
/__ | | 4| /__ | | 4/9|
\_|4, 2 \ -1/2, 0 | / \_|4, 2 \ 0, 1/2 | /
- ----------------------------- - ------------------------------
____ ____
2*\/ pi 6*\/ pi
$$- \frac{{G_{4, 2}^{2, 3}\left(\begin{matrix} 0, - \frac{1}{2}, 0 & \frac{1}{2} \\- \frac{1}{2}, 0 & \end{matrix} \middle| {4} \right)}}{2 \sqrt{\pi}} - \frac{{G_{4, 2}^{2, 3}\left(\begin{matrix} 0, 0, \frac{1}{2} & \frac{1}{2} \\0, \frac{1}{2} & \end{matrix} \middle| {\frac{4}{9}} \right)}}{6 \sqrt{\pi}}$$
-meijerg(((0, -1/2, 0), (1/2,)), ((-1/2, 0), ()), 4)/(2*sqrt(pi)) - meijerg(((0, 0, 1/2), (1/2,)), ((0, 1/2), ()), 4/9)/(6*sqrt(pi))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.