Sr Examen
Integral de sin(1/(x)^0.5)*sinx dx
Solución
Ha introducido
[src]
oo / | | / 1 \ | sin|-----|*sin(x) dx | | ___| | \\/ x / | / 0
$$\int\limits_{0}^{\infty} \sin{\left(x \right)} \sin{\left(\frac{1}{\sqrt{x}} \right)}\, dx$$
Integral(sin(1/(sqrt(x)))*sin(x), (x, 0, oo))
Respuesta
[src]
___ __3, 0 / | \
pi*\/ 2 */__ | | 1/1024|
\_|0, 6 \1/4, -1/4, 1/2 0, 0, -1/2 | /
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32
$$\frac{\sqrt{2} \pi {G_{0, 6}^{3, 0}\left(\begin{matrix} & \\\frac{1}{4}, - \frac{1}{4}, \frac{1}{2} & 0, 0, - \frac{1}{2} \end{matrix} \middle| {\frac{1}{1024}} \right)}}{32}$$
=
=
___ __3, 0 / | \
pi*\/ 2 */__ | | 1/1024|
\_|0, 6 \1/4, -1/4, 1/2 0, 0, -1/2 | /
------------------------------------------------------
32
$$\frac{\sqrt{2} \pi {G_{0, 6}^{3, 0}\left(\begin{matrix} & \\\frac{1}{4}, - \frac{1}{4}, \frac{1}{2} & 0, 0, - \frac{1}{2} \end{matrix} \middle| {\frac{1}{1024}} \right)}}{32}$$
pi*sqrt(2)*meijerg(((), ()), ((1/4, -1/4, 1/2), (0, 0, -1/2)), 1/1024)/32
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.