2
-x 3 2
20*5 *acos (5*x) -x 4
- ------------------ - 2*x*5 *acos (5*x)*log(5)
___________
/ 2
\/ 1 - 25*x
$$- 2 \cdot 5^{- x^{2}} x \log{\left(5 \right)} \operatorname{acos}^{4}{\left(5 x \right)} - \frac{20 \cdot 5^{- x^{2}} \operatorname{acos}^{3}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}}$$
2
-x 2 / 150 2 / 2 \ 250*x*acos(5*x) 40*x*acos(5*x)*log(5)\
2*5 *acos (5*x)*|- ---------- + acos (5*x)*\-1 + 2*x *log(5)/*log(5) - --------------- + ---------------------|
| 2 3/2 ___________ |
| -1 + 25*x / 2\ / 2 |
\ \1 - 25*x / \/ 1 - 25*x /
$$2 \cdot 5^{- x^{2}} \left(\frac{40 x \log{\left(5 \right)} \operatorname{acos}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}} - \frac{250 x \operatorname{acos}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \left(2 x^{2} \log{\left(5 \right)} - 1\right) \log{\left(5 \right)} \operatorname{acos}^{2}{\left(5 x \right)} - \frac{150}{25 x^{2} - 1}\right) \operatorname{acos}^{2}{\left(5 x \right)}$$
2 / 2 2 2 2 / 2 \ \
-x | 750 125*acos (5*x) 9375*x *acos (5*x) 5625*x*acos(5*x) 3 2 / 2 \ 30*acos (5*x)*\-1 + 2*x *log(5)/*log(5) / 3 5*x*acos(5*x) \ |
4*5 *|- -------------- - -------------- - ------------------ + ---------------- - x*acos (5*x)*log (5)*\-3 + 2*x *log(5)/ - --------------------------------------- + 150*x*|---------- + --------------|*acos(5*x)*log(5)|*acos(5*x)
| 3/2 3/2 5/2 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 / / /
$$4 \cdot 5^{- x^{2}} \left(- \frac{9375 x^{2} \operatorname{acos}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{5}{2}}} - x \left(2 x^{2} \log{\left(5 \right)} - 3\right) \log{\left(5 \right)}^{2} \operatorname{acos}^{3}{\left(5 x \right)} + 150 x \left(\frac{5 x \operatorname{acos}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + \frac{3}{25 x^{2} - 1}\right) \log{\left(5 \right)} \operatorname{acos}{\left(5 x \right)} + \frac{5625 x \operatorname{acos}{\left(5 x \right)}}{\left(25 x^{2} - 1\right)^{2}} - \frac{30 \left(2 x^{2} \log{\left(5 \right)} - 1\right) \log{\left(5 \right)} \operatorname{acos}^{2}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}} - \frac{125 \operatorname{acos}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} - \frac{750}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}}\right) \operatorname{acos}{\left(5 x \right)}$$