Sr Examen
Integral de 1/(2*x^(1/4)) dx
Solución
Ha introducido
[src]
oo / | | 1 | ------- dx | 4 ___ | 2*\/ x | / 16
$$\int\limits_{16}^{\infty} \frac{1}{2 \sqrt[4]{x}}\, dx$$
Integral(1/(2*x^(1/4)), (x, 16, oo))
Respuesta (Indefinida)
[src]
// 3/4 \
|| x *Gamma(3/4) |
/ || --------------- for Or(|x| > 1, |x| < 1)|
| || 2*Gamma(7/4) |
| 1 || |
| ------- dx = C + |< __1, 1 / 1 7/4 | \ __0, 2 /7/4, 1 | \ |
| 4 ___ ||/__ | | x| /__ | | x| |
| 2*\/ x ||\_|2, 2 \3/4 0 | / \_|2, 2 \ 3/4, 0 | / |
| ||---------------------- + ---------------------------- otherwise |
/ || 2 2 |
\\ /
$$\int \frac{1}{2 \sqrt[4]{x}}\, dx = C + \begin{cases} \frac{x^{\frac{3}{4}} \Gamma\left(\frac{3}{4}\right)}{2 \Gamma\left(\frac{7}{4}\right)} & \text{for}\: \left|{x}\right| > 1 \vee \left|{x}\right| < 1 \\\frac{{G_{2, 2}^{1, 1}\left(\begin{matrix} 1 & \frac{7}{4} \\\frac{3}{4} & 0 \end{matrix} \middle| {x} \right)}}{2} + \frac{{G_{2, 2}^{0, 2}\left(\begin{matrix} \frac{7}{4}, 1 & \\ & \frac{3}{4}, 0 \end{matrix} \middle| {x} \right)}}{2} & \text{otherwise} \end{cases}$$
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.