x
- ----------- + acos(x)
________
/ 2
\/ 1 - x x*acos(x)
----------------------- + -----------------
acot(x) / 2\ 2
\1 + x /*acot (x)
$$\frac{x \operatorname{acos}{\left(x \right)}}{\left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}} + \frac{- \frac{x}{\sqrt{1 - x^{2}}} + \operatorname{acos}{\left(x \right)}}{\operatorname{acot}{\left(x \right)}}$$
2 / x \
x 2*|-acos(x) + -----------|
-2 + ------- | ________| / 1 \
2 | / 2 | 2*x*|x - -------|*acos(x)
-1 + x \ \/ 1 - x / \ acot(x)/
------------ - -------------------------- - -------------------------
________ / 2\ 2
/ 2 \1 + x /*acot(x) / 2\
\/ 1 - x \1 + x / *acot(x)
---------------------------------------------------------------------
acot(x)
$$\frac{- \frac{2 x \left(x - \frac{1}{\operatorname{acot}{\left(x \right)}}\right) \operatorname{acos}{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} - \frac{2 \left(\frac{x}{\sqrt{1 - x^{2}}} - \operatorname{acos}{\left(x \right)}\right)}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + \frac{\frac{x^{2}}{x^{2} - 1} - 2}{\sqrt{1 - x^{2}}}}{\operatorname{acot}{\left(x \right)}}$$
/ 2 \ / 2 \ / 1 \ / x \ / 2 \
| 3*x | | x | 6*|x - -------|*|-acos(x) + -----------| | 3 4*x 6*x |
x*|-4 + -------| 3*|-2 + -------| \ acot(x)/ | ________| 2*x*|-1 + ----------------- + ------ - ----------------|*acos(x)
| 2| | 2| | / 2 | | / 2\ 2 2 / 2\ |
\ -1 + x / \ -1 + x / \ \/ 1 - x / \ \1 + x /*acot (x) 1 + x \1 + x /*acot(x)/
---------------- + ---------------------------- + ---------------------------------------- + ----------------------------------------------------------------
3/2 ________ 2 2
/ 2\ / 2\ / 2 / 2\ / 2\
\1 - x / \1 + x /*\/ 1 - x *acot(x) \1 + x / *acot(x) \1 + x / *acot(x)
-------------------------------------------------------------------------------------------------------------------------------------------------------------
acot(x)
$$\frac{\frac{2 x \left(\frac{4 x^{2}}{x^{2} + 1} - \frac{6 x}{\left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} - 1 + \frac{3}{\left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}}\right) \operatorname{acos}{\left(x \right)}}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} + \frac{x \left(\frac{3 x^{2}}{x^{2} - 1} - 4\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{6 \left(x - \frac{1}{\operatorname{acot}{\left(x \right)}}\right) \left(\frac{x}{\sqrt{1 - x^{2}}} - \operatorname{acos}{\left(x \right)}\right)}{\left(x^{2} + 1\right)^{2} \operatorname{acot}{\left(x \right)}} + \frac{3 \left(\frac{x^{2}}{x^{2} - 1} - 2\right)}{\sqrt{1 - x^{2}} \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}}}{\operatorname{acot}{\left(x \right)}}$$