Sr Examen
Integral de (cos3x)/(1+x^0.5) dx
Solución
Ha introducido
[src]
oo / | | cos(3*x) | --------- dx | ___ | 1 + \/ x | / 0
$$\int\limits_{0}^{\infty} \frac{\cos{\left(3 x \right)}}{\sqrt{x} + 1}\, dx$$
Integral(cos(3*x)/(1 + sqrt(x)), (x, 0, oo))
Respuesta (Indefinida)
[src]
/ / | | | cos(3*x) | cos(3*x) | --------- dx = C + | --------- dx | ___ | ___ | 1 + \/ x | 1 + \/ x | | / /
$$\int \frac{\cos{\left(3 x \right)}}{\sqrt{x} + 1}\, dx = C + \int \frac{\cos{\left(3 x \right)}}{\sqrt{x} + 1}\, dx$$
Respuesta
[src]
__5, 4 / 1/2, 1/4, 0, -1/4 | \
/__ | | 9/4|
\_|4, 6 \1/2, 1/4, 0, -1/4, 0 1/2 | /
-----------------------------------------
5/2
4*pi
$$\frac{{G_{4, 6}^{5, 4}\left(\begin{matrix} \frac{1}{2}, \frac{1}{4}, 0, - \frac{1}{4} & \\\frac{1}{2}, \frac{1}{4}, 0, - \frac{1}{4}, 0 & \frac{1}{2} \end{matrix} \middle| {\frac{9}{4}} \right)}}{4 \pi^{\frac{5}{2}}}$$
=
=
__5, 4 / 1/2, 1/4, 0, -1/4 | \
/__ | | 9/4|
\_|4, 6 \1/2, 1/4, 0, -1/4, 0 1/2 | /
-----------------------------------------
5/2
4*pi
$$\frac{{G_{4, 6}^{5, 4}\left(\begin{matrix} \frac{1}{2}, \frac{1}{4}, 0, - \frac{1}{4} & \\\frac{1}{2}, \frac{1}{4}, 0, - \frac{1}{4}, 0 & \frac{1}{2} \end{matrix} \middle| {\frac{9}{4}} \right)}}{4 \pi^{\frac{5}{2}}}$$
meijerg(((1/2, 1/4, 0, -1/4), ()), ((1/2, 1/4, 0, -1/4, 0), (1/2,)), 9/4)/(4*pi^(5/2))
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.