_______ 2 + 3*x 3
3*\/ x - 1 + ----------- - -----------------------
_______ _______
2*\/ x - 1 4*\/ x - 1 *(1 - 1 + x)
$$3 \sqrt{x - 1} + \frac{3 x + 2}{2 \sqrt{x - 1}} - \frac{3}{4 \sqrt{x - 1} \left(x - 1 + 1\right)}$$
3 2 + 3*x 3
3 + ---- - ---------- + ------------
2 4*(-1 + x) 8*x*(-1 + x)
4*x
------------------------------------
________
\/ -1 + x
$$\frac{3 - \frac{3 x + 2}{4 \left(x - 1\right)} + \frac{3}{8 x \left(x - 1\right)} + \frac{3}{4 x^{2}}}{\sqrt{x - 1}}$$
/ 12 8 4 3 2*(2 + 3*x)\
3*|- ------ - -- - ----------- - ----------- + -----------|
| -1 + x 3 2 2 2 |
\ x x *(-1 + x) x*(-1 + x) (-1 + x) /
-----------------------------------------------------------
________
16*\/ -1 + x
$$\frac{3 \left(- \frac{12}{x - 1} + \frac{2 \cdot \left(3 x + 2\right)}{\left(x - 1\right)^{2}} - \frac{3}{x \left(x - 1\right)^{2}} - \frac{4}{x^{2} \left(x - 1\right)} - \frac{8}{x^{3}}\right)}{16 \sqrt{x - 1}}$$