3/ ___\
asin \\/ x / 2/ ___\
3*3 *asin \\/ x /*log(3)
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___ _______
2*\/ x *\/ 1 - x
$$\frac{3 \cdot 3^{\operatorname{asin}^{3}{\left(\sqrt{x} \right)}} \log{\left(3 \right)} \operatorname{asin}^{2}{\left(\sqrt{x} \right)}}{2 \sqrt{x} \sqrt{1 - x}}$$
3/ ___\ / / ___\ / ___\ 3/ ___\ \
asin \\/ x / | 2 asin\\/ x / asin\\/ x / 3*asin \\/ x /*log(3)| / ___\
3*3 *|- ---------- + ---------------- - -------------- - ---------------------|*asin\\/ x /*log(3)
| x*(-1 + x) ___ 3/2 3/2 _______ x*(-1 + x) |
\ \/ x *(1 - x) x *\/ 1 - x /
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4
$$\frac{3 \cdot 3^{\operatorname{asin}^{3}{\left(\sqrt{x} \right)}} \left(- \frac{3 \log{\left(3 \right)} \operatorname{asin}^{3}{\left(\sqrt{x} \right)}}{x \left(x - 1\right)} - \frac{2}{x \left(x - 1\right)} + \frac{\operatorname{asin}{\left(\sqrt{x} \right)}}{\sqrt{x} \left(1 - x\right)^{\frac{3}{2}}} - \frac{\operatorname{asin}{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \sqrt{1 - x}}\right) \log{\left(3 \right)} \operatorname{asin}{\left(\sqrt{x} \right)}}{4}$$
3/ ___\ / 2/ ___\ 2/ ___\ 2/ ___\ / ___\ / ___\ 4/ ___\ 4/ ___\ 6/ ___\ 2 3/ ___\ \
asin \\/ x / | 2 2*asin \\/ x / 3*asin \\/ x / 3*asin \\/ x / 6*asin\\/ x / 6*asin\\/ x / 9*asin \\/ x /*log(3) 9*asin \\/ x /*log(3) 9*asin \\/ x /*log (3) 18*asin \\/ x /*log(3)|
3*3 *|--------------- - --------------- + -------------- + ---------------- + ------------- + ------------- + --------------------- + --------------------- + ---------------------- + ----------------------|*log(3)
| 3/2 3/2 3/2 3/2 5/2 _______ ___ 5/2 2 2 2 2 3/2 3/2 3/2 3/2 |
\x *(1 - x) x *(1 - x) x *\/ 1 - x \/ x *(1 - x) x*(-1 + x) x *(-1 + x) x*(-1 + x) x *(-1 + x) x *(1 - x) x *(1 - x) /
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8
$$\frac{3 \cdot 3^{\operatorname{asin}^{3}{\left(\sqrt{x} \right)}} \left(\frac{9 \log{\left(3 \right)} \operatorname{asin}^{4}{\left(\sqrt{x} \right)}}{x \left(x - 1\right)^{2}} + \frac{6 \operatorname{asin}{\left(\sqrt{x} \right)}}{x \left(x - 1\right)^{2}} + \frac{9 \log{\left(3 \right)} \operatorname{asin}^{4}{\left(\sqrt{x} \right)}}{x^{2} \left(x - 1\right)} + \frac{6 \operatorname{asin}{\left(\sqrt{x} \right)}}{x^{2} \left(x - 1\right)} + \frac{3 \operatorname{asin}^{2}{\left(\sqrt{x} \right)}}{\sqrt{x} \left(1 - x\right)^{\frac{5}{2}}} + \frac{9 \log{\left(3 \right)}^{2} \operatorname{asin}^{6}{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}} + \frac{18 \log{\left(3 \right)} \operatorname{asin}^{3}{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}} - \frac{2 \operatorname{asin}^{2}{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}} + \frac{2}{x^{\frac{3}{2}} \left(1 - x\right)^{\frac{3}{2}}} + \frac{3 \operatorname{asin}^{2}{\left(\sqrt{x} \right)}}{x^{\frac{5}{2}} \sqrt{1 - x}}\right) \log{\left(3 \right)}}{8}$$