Integral de (2x-8)/(1-2x-x^2) dx

                                                 //            /  ___        \                   \
                                                 ||   ___      |\/ 2 *(1 + x)|                   |
                                                 ||-\/ 2 *acoth|-------------|                   |
  /                                              ||            \      2      /              2    |
 |                                               ||----------------------------  for (1 + x)  > 2|
 |   2*x - 8                /      2      \      ||             2                                |
 | ------------ dx = C - log\-1 + x  + 2*x/ + 10*|<                                              |
 |            2                                  ||            /  ___        \                   |
 | 1 - 2*x - x                                   ||   ___      |\/ 2 *(1 + x)|                   |
 |                                               ||-\/ 2 *atanh|-------------|                   |
/                                                ||            \      2      /              2    |
                                                 ||----------------------------  for (1 + x)  < 2|
                                                 \\             2                                /

$$\int \frac{2 x - 8}{- x^{2} + \left(1 - 2 x\right)}\, dx = C + 10 \left(\begin{cases} - \frac{\sqrt{2} \operatorname{acoth}{\left(\frac{\sqrt{2} \left(x + 1\right)}{2} \right)}}{2} & \text{for}\: \left(x + 1\right)^{2} > 2 \\- \frac{\sqrt{2} \operatorname{atanh}{\left(\frac{\sqrt{2} \left(x + 1\right)}{2} \right)}}{2} & \text{for}\: \left(x + 1\right)^{2} < 2 \end{cases}\right) - \log{\left(x^{2} + 2 x - 1 \right)}$$

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