___ ___ ___
1 -1 + \/ 2 *\/ x 3*\/ 2
--------------- - -------------------------- + ---------------------------------
3/2 2 / 2\
2*(-1 + 2*x) / 2\ ___ | / ___ ___\ |
| / ___ ___\ | 4*\/ x *\1 + \-1 + \/ 2 *\/ x / /
\1 + \-1 + \/ 2 *\/ x / /
$$- \frac{\sqrt{2} \sqrt{x} - 1}{\left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} + \frac{1}{2 \left(2 x - 1\right)^{\frac{3}{2}}} + \frac{3 \sqrt{2}}{4 \sqrt{x} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)}$$
2
/ ___ ___\ ___ ___ ___ / ___ ___\
3 3*\-1 + \/ 2 *\/ x / 3*\/ 2 \/ 2 2*\/ 2 *\-1 + \/ 2 *\/ x /
- --------------- - ------------------------------ - -------------------------------- - ---------------------------------- + --------------------------------
5/2 2 / 2\ 2 3
2*(-1 + 2*x) / 2\ 3/2 | / ___ ___\ | / 2\ / 2\
| / ___ ___\ | 8*x *\1 + \-1 + \/ 2 *\/ x / / ___ | / ___ ___\ | ___ | / ___ ___\ |
2*x*\1 + \-1 + \/ 2 *\/ x / / 2*\/ x *\1 + \-1 + \/ 2 *\/ x / / \/ x *\1 + \-1 + \/ 2 *\/ x / /
$$- \frac{3}{2 \left(2 x - 1\right)^{\frac{5}{2}}} - \frac{3 \left(\sqrt{2} \sqrt{x} - 1\right)}{2 x \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} + \frac{2 \sqrt{2} \left(\sqrt{2} \sqrt{x} - 1\right)^{2}}{\sqrt{x} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{3}} - \frac{\sqrt{2}}{2 \sqrt{x} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)^{2}} - \frac{3 \sqrt{2}}{8 x^{\frac{3}{2}} \left(\left(\sqrt{2} \sqrt{x} - 1\right)^{2} + 1\right)}$$