/ 2 \
| 1 acos (x) x*acos(x) 2*acos(x) |
2*|- ------- + -------- - ----------- + -------------|
| 2 2 3/2 ________|
| -1 + x x / 2\ / 2 |
\ \1 - x / x*\/ 1 - x /
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x
$$\frac{2 \left(- \frac{x \operatorname{acos}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} - 1} + \frac{2 \operatorname{acos}{\left(x \right)}}{x \sqrt{1 - x^{2}}} + \frac{\operatorname{acos}^{2}{\left(x \right)}}{x^{2}}\right)}{x}$$
/ / 1 x*acos(x) \ \
| 3*|------- + -----------| |
| | 2 3/2| |
| 2 |-1 + x / 2\ | 2 |
| acos(x) 3*acos (x) 3*x \ \1 - x / / 6*acos(x) 3*x *acos(x)|
2*|- ----------- - ---------- + ---------- + ------------------------- - -------------- - ------------|
| 3/2 3 2 x ________ 5/2 |
| / 2\ x / 2\ 2 / 2 / 2\ |
\ \1 - x / \-1 + x / x *\/ 1 - x \1 - x / /
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x
$$\frac{2 \left(- \frac{3 x^{2} \operatorname{acos}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{3 x}{\left(x^{2} - 1\right)^{2}} - \frac{\operatorname{acos}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3 \left(\frac{x \operatorname{acos}{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{1}{x^{2} - 1}\right)}{x} - \frac{6 \operatorname{acos}{\left(x \right)}}{x^{2} \sqrt{1 - x^{2}}} - \frac{3 \operatorname{acos}^{2}{\left(x \right)}}{x^{3}}\right)}{x}$$