Sr Examen
Integral de (cos2x)/(1+x*x^(1/2)) dx
Solución
Ha introducido
[src]
oo / | | cos(2*x) | ----------- dx | ___ | 1 + x*\/ x | / 0
$$\int\limits_{0}^{\infty} \frac{\cos{\left(2 x \right)}}{\sqrt{x} x + 1}\, dx$$
Integral(cos(2*x)/(1 + x*sqrt(x)), (x, 0, oo))
Respuesta
[src]
___ __7, 4 / 5/6, 7/12, 1/3, 1/12 | \
\/ 3 */__ | | 1/729|
\_|4, 10 \5/6, 7/12, 1/3, 1/12, 0, 1/3, 2/3 1/6, 1/2, 5/6 | /
-------------------------------------------------------------------------
5/2
12*pi
$$\frac{\sqrt{3} {G_{4, 10}^{7, 4}\left(\begin{matrix} \frac{5}{6}, \frac{7}{12}, \frac{1}{3}, \frac{1}{12} & \\\frac{5}{6}, \frac{7}{12}, \frac{1}{3}, \frac{1}{12}, 0, \frac{1}{3}, \frac{2}{3} & \frac{1}{6}, \frac{1}{2}, \frac{5}{6} \end{matrix} \middle| {\frac{1}{729}} \right)}}{12 \pi^{\frac{5}{2}}}$$
=
=
___ __7, 4 / 5/6, 7/12, 1/3, 1/12 | \
\/ 3 */__ | | 1/729|
\_|4, 10 \5/6, 7/12, 1/3, 1/12, 0, 1/3, 2/3 1/6, 1/2, 5/6 | /
-------------------------------------------------------------------------
5/2
12*pi
$$\frac{\sqrt{3} {G_{4, 10}^{7, 4}\left(\begin{matrix} \frac{5}{6}, \frac{7}{12}, \frac{1}{3}, \frac{1}{12} & \\\frac{5}{6}, \frac{7}{12}, \frac{1}{3}, \frac{1}{12}, 0, \frac{1}{3}, \frac{2}{3} & \frac{1}{6}, \frac{1}{2}, \frac{5}{6} \end{matrix} \middle| {\frac{1}{729}} \right)}}{12 \pi^{\frac{5}{2}}}$$
sqrt(3)*meijerg(((5/6, 7/12, 1/3, 1/12), ()), ((5/6, 7/12, 1/3, 1/12, 0, 1/3, 2/3), (1/6, 1/2, 5/6)), 1/729)/(12*pi^(5/2))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.