2 4
5 50*x *acos (2*x)
10*x*acos (2*x) - ----------------
__________
/ 2
\/ 1 - 4*x
$$- \frac{50 x^{2} \operatorname{acos}^{4}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} + 10 x \operatorname{acos}^{5}{\left(2 x \right)}$$
3 / 2 2 / 2 x*acos(2*x) \ 20*x*acos(2*x)\
10*acos (2*x)*|acos (2*x) - 20*x *|--------- + -------------| - --------------|
| | 2 3/2| __________ |
| |-1 + 4*x / 2\ | / 2 |
\ \ \1 - 4*x / / \/ 1 - 4*x /
$$10 \left(- 20 x^{2} \left(\frac{x \operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{4 x^{2} - 1}\right) - \frac{20 x \operatorname{acos}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}} + \operatorname{acos}^{2}{\left(2 x \right)}\right) \operatorname{acos}^{3}{\left(2 x \right)}$$
/ / 2 2 2 \ 2 \
2 | 2 | 12 acos (2*x) 24*x*acos(2*x) 12*x *acos (2*x)| 3*acos (2*x) / 2 x*acos(2*x) \ |
-100*acos (2*x)*|2*x *|------------- + ------------- - -------------- + ----------------| + ------------- + 12*x*|--------- + -------------|*acos(2*x)|
| | 3/2 3/2 2 5/2 | __________ | 2 3/2| |
| |/ 2\ / 2\ / 2\ / 2\ | / 2 |-1 + 4*x / 2\ | |
\ \\1 - 4*x / \1 - 4*x / \-1 + 4*x / \1 - 4*x / / \/ 1 - 4*x \ \1 - 4*x / / /
$$- 100 \left(2 x^{2} \left(\frac{12 x^{2} \operatorname{acos}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} - \frac{24 x \operatorname{acos}{\left(2 x \right)}}{\left(4 x^{2} - 1\right)^{2}} + \frac{\operatorname{acos}^{2}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{12}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}}\right) + 12 x \left(\frac{x \operatorname{acos}{\left(2 x \right)}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} + \frac{2}{4 x^{2} - 1}\right) \operatorname{acos}{\left(2 x \right)} + \frac{3 \operatorname{acos}^{2}{\left(2 x \right)}}{\sqrt{1 - 4 x^{2}}}\right) \operatorname{acos}^{2}{\left(2 x \right)}$$