4 3
3 4 20*(x - 2) *asin (5*x)
4*(x - 2) *asin (5*x) + ----------------------
___________
/ 2
\/ 1 - 25*x
$$4 \left(x - 2\right)^{3} \operatorname{asin}^{4}{\left(5 x \right)} + \frac{20 \left(x - 2\right)^{4} \operatorname{asin}^{3}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}}$$
2 2 / 2 2 / 3 5*x*asin(5*x) \ 40*(-2 + x)*asin(5*x)\
4*(-2 + x) *asin (5*x)*|3*asin (5*x) + 25*(-2 + x) *|- ---------- + --------------| + ---------------------|
| | 2 3/2| ___________ |
| | -1 + 25*x / 2\ | / 2 |
\ \ \1 - 25*x / / \/ 1 - 25*x /
$$4 \left(x - 2\right)^{2} \left(25 \left(x - 2\right)^{2} \left(\frac{5 x \operatorname{asin}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} - \frac{3}{25 x^{2} - 1}\right) + 3 \operatorname{asin}^{2}{\left(5 x \right)} + \frac{40 \left(x - 2\right) \operatorname{asin}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}}\right) \operatorname{asin}^{2}{\left(5 x \right)}$$
/ / 2 2 2 \ 2 \
| 3 3 | 6 asin (5*x) 45*x*asin(5*x) 75*x *asin (5*x)| 180*asin (5*x)*(-2 + x) 2 / 3 5*x*asin(5*x) \ |
4*(-2 + x)*|6*asin (5*x) + 125*(-2 + x) *|-------------- + -------------- + -------------- + ----------------| + ----------------------- + 300*(-2 + x) *|- ---------- + --------------|*asin(5*x)|*asin(5*x)
| | 3/2 3/2 2 5/2 | ___________ | 2 3/2| |
| |/ 2\ / 2\ / 2\ / 2\ | / 2 | -1 + 25*x / 2\ | |
\ \\1 - 25*x / \1 - 25*x / \-1 + 25*x / \1 - 25*x / / \/ 1 - 25*x \ \1 - 25*x / / /
$$4 \left(x - 2\right) \left(125 \left(x - 2\right)^{3} \left(\frac{75 x^{2} \operatorname{asin}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{5}{2}}} + \frac{45 x \operatorname{asin}{\left(5 x \right)}}{\left(25 x^{2} - 1\right)^{2}} + \frac{\operatorname{asin}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{6}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}}\right) + 300 \left(x - 2\right)^{2} \left(\frac{5 x \operatorname{asin}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} - \frac{3}{25 x^{2} - 1}\right) \operatorname{asin}{\left(5 x \right)} + 6 \operatorname{asin}^{3}{\left(5 x \right)} + \frac{180 \left(x - 2\right) \operatorname{asin}^{2}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}}\right) \operatorname{asin}{\left(5 x \right)}$$