Integral de 1/(2√x)*x dx

                    //                         3/2                                                   \
                    ||                        x                                                      |
  /                 ||                        ----                           for Or(|x| > 1, |x| < 1)|
 |                  ||                         3                                                     |
 |    x             ||                                                                               |
 | ------- dx = C + |< __1, 1 / 1   5/2 |  \    __0, 2 /5/2, 1         |  \                          |
 |     ___          ||/__     |         | x|   /__     |               | x|                          |
 | 2*\/ x           ||\_|2, 2 \3/2   0  |  /   \_|2, 2 \        3/2, 0 |  /                          |
 |                  ||---------------------- + ----------------------------         otherwise        |
/                   ||          2                           2                                        |
                    \\                                                                               /

$$\int \frac{x}{2 \sqrt{x}}\, dx = C + \begin{cases} \frac{x^{\frac{3}{2}}}{3} & \text{for}\: \left|{x}\right| > 1 \vee \left|{x}\right| < 1 \\\frac{{G_{2, 2}^{1, 1}\left(\begin{matrix} 1 & \frac{5}{2} \\\frac{3}{2} & 0 \end{matrix} \middle| {x} \right)}}{2} + \frac{{G_{2, 2}^{0, 2}\left(\begin{matrix} \frac{5}{2}, 1 & \\ & \frac{3}{2}, 0 \end{matrix} \middle| {x} \right)}}{2} & \text{otherwise} \end{cases}$$

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