_______
\/ 1 - x 1
- --------- - -------------------
2 _______
(1 + x) 2*(1 + x)*\/ 1 - x
---------------------------------
1 - x
1 + --------
2
(1 + x)
$$\frac{- \frac{\sqrt{- x + 1}}{\left(x + 1\right)^{2}} - \frac{1}{2 \sqrt{- x + 1} \left(x + 1\right)}}{1 + \frac{- x + 1}{\left(x + 1\right)^{2}}}$$
/ _______\
/ 2*(-1 + x)\ | 1 2*\/ 1 - x |
|-1 + ----------|*|--------- + -----------|
_______ \ 1 + x / | _______ 1 + x |
1 1 2*\/ 1 - x \\/ 1 - x /
------------ - ----------------- - ----------- + -------------------------------------------
3/2 _______ 2 2 / -1 + x \
4*(1 - x) (1 + x)*\/ 1 - x (1 + x) 2*(1 + x) *|-1 + --------|
| 2|
\ (1 + x) /
--------------------------------------------------------------------------------------------
/ -1 + x \
(1 + x)*|-1 + --------|
| 2|
\ (1 + x) /
$$\frac{- \frac{2 \sqrt{- x + 1}}{\left(x + 1\right)^{2}} + \frac{\left(\frac{2 \sqrt{- x + 1}}{x + 1} + \frac{1}{\sqrt{- x + 1}}\right) \left(\frac{2 \left(x - 1\right)}{x + 1} - 1\right)}{2 \left(x + 1\right)^{2} \left(-1 + \frac{x - 1}{\left(x + 1\right)^{2}}\right)} - \frac{1}{\sqrt{- x + 1} \left(x + 1\right)} + \frac{1}{4 \left(- x + 1\right)^{\frac{3}{2}}}}{\left(x + 1\right) \left(-1 + \frac{x - 1}{\left(x + 1\right)^{2}}\right)}$$
2 / _______\ / _______\ / _______\
/ 2*(-1 + x)\ | 1 2*\/ 1 - x | / 3*(-1 + x)\ | 1 2*\/ 1 - x | / 2*(-1 + x)\ | 1 4 8*\/ 1 - x |
|-1 + ----------| *|--------- + -----------| |-2 + ----------|*|--------- + -----------| |-1 + ----------|*|- ---------- + ----------------- + -----------|
_______ \ 1 + x / | _______ 1 + x | \ 1 + x / | _______ 1 + x | \ 1 + x / | 3/2 _______ 2 |
3 3 6*\/ 1 - x 3 \\/ 1 - x / \\/ 1 - x / \ (1 - x) (1 + x)*\/ 1 - x (1 + x) /
------------ + ------------------ + ----------- - -------------------- + -------------------------------------------- - ------------------------------------------- - ------------------------------------------------------------------
5/2 2 _______ 3 3/2 2 3 / -1 + x \ 2 / -1 + x \
8*(1 - x) (1 + x) *\/ 1 - x (1 + x) 4*(1 + x)*(1 - x) 4 / -1 + x \ (1 + x) *|-1 + --------| 2*(1 + x) *|-1 + --------|
(1 + x) *|-1 + --------| | 2| | 2|
| 2| \ (1 + x) / \ (1 + x) /
\ (1 + x) /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ -1 + x \
(1 + x)*|-1 + --------|
| 2|
\ (1 + x) /
$$\frac{- \frac{\left(\frac{2 \left(x - 1\right)}{x + 1} - 1\right) \left(\frac{8 \sqrt{- x + 1}}{\left(x + 1\right)^{2}} + \frac{4}{\sqrt{- x + 1} \left(x + 1\right)} - \frac{1}{\left(- x + 1\right)^{\frac{3}{2}}}\right)}{2 \left(x + 1\right)^{2} \left(-1 + \frac{x - 1}{\left(x + 1\right)^{2}}\right)} + \frac{6 \sqrt{- x + 1}}{\left(x + 1\right)^{3}} - \frac{\left(\frac{2 \sqrt{- x + 1}}{x + 1} + \frac{1}{\sqrt{- x + 1}}\right) \left(\frac{3 \left(x - 1\right)}{x + 1} - 2\right)}{\left(x + 1\right)^{3} \left(-1 + \frac{x - 1}{\left(x + 1\right)^{2}}\right)} + \frac{\left(\frac{2 \sqrt{- x + 1}}{x + 1} + \frac{1}{\sqrt{- x + 1}}\right) \left(\frac{2 \left(x - 1\right)}{x + 1} - 1\right)^{2}}{\left(x + 1\right)^{4} \left(-1 + \frac{x - 1}{\left(x + 1\right)^{2}}\right)^{2}} + \frac{3}{\sqrt{- x + 1} \left(x + 1\right)^{2}} - \frac{3}{4 \left(- x + 1\right)^{\frac{3}{2}} \left(x + 1\right)} + \frac{3}{8 \left(- x + 1\right)^{\frac{5}{2}}}}{\left(x + 1\right) \left(-1 + \frac{x - 1}{\left(x + 1\right)^{2}}\right)}$$