2
3*x
-----------------------------------------
_________________
/ 2 ________________
/ / 3\ / / 3\
\/ 1 - \1 + 2*x / *\/ asin\1 + 2*x /
$$\frac{3 x^{2}}{\sqrt{1 - \left(2 x^{3} + 1\right)^{2}} \sqrt{\operatorname{asin}{\left(2 x^{3} + 1 \right)}}}$$
/ 3 3 / 3\ \
| 2 3*x 6*x *\1 + 2*x / |
3*x*|--------------------- + --------------------------------- + --------------------|
| _________________ / 2\ 3/2|
| / 2 | / 3\ | / 3\ / 2\ |
| / / 3\ \-1 + \1 + 2*x / /*asin\1 + 2*x / | / 3\ | |
\\/ 1 - \1 + 2*x / \1 - \1 + 2*x / / /
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________________
/ / 3\
\/ asin\1 + 2*x /
$$\frac{3 x \left(\frac{3 x^{3}}{\left(\left(2 x^{3} + 1\right)^{2} - 1\right) \operatorname{asin}{\left(2 x^{3} + 1 \right)}} + \frac{6 x^{3} \left(2 x^{3} + 1\right)}{\left(1 - \left(2 x^{3} + 1\right)^{2}\right)^{\frac{3}{2}}} + \frac{2}{\sqrt{1 - \left(2 x^{3} + 1\right)^{2}}}\right)}{\sqrt{\operatorname{asin}{\left(2 x^{3} + 1 \right)}}}$$
/ 2 \
| 6 3 6 3 / 3\ 6 / 3\ 6 / 3\ |
| 2 36*x 18*x 27*x 36*x *\1 + 2*x / 108*x *\1 + 2*x / 54*x *\1 + 2*x / |
3*|--------------------- + -------------------- + --------------------------------- + ------------------------------------ + -------------------- + -------------------- - ----------------------------------|
| _________________ 3/2 / 2\ 3/2 3/2 5/2 2 |
| / 2 / 2\ | / 3\ | / 3\ / 2\ / 2\ / 2\ / 2\ |
| / / 3\ | / 3\ | \-1 + \1 + 2*x / /*asin\1 + 2*x / | / 3\ | 2/ 3\ | / 3\ | | / 3\ | | / 3\ | / 3\|
\\/ 1 - \1 + 2*x / \1 - \1 + 2*x / / \1 - \1 + 2*x / / *asin \1 + 2*x / \1 - \1 + 2*x / / \1 - \1 + 2*x / / \-1 + \1 + 2*x / / *asin\1 + 2*x //
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________________
/ / 3\
\/ asin\1 + 2*x /
$$\frac{3 \left(- \frac{54 x^{6} \left(2 x^{3} + 1\right)}{\left(\left(2 x^{3} + 1\right)^{2} - 1\right)^{2} \operatorname{asin}{\left(2 x^{3} + 1 \right)}} + \frac{36 x^{6}}{\left(1 - \left(2 x^{3} + 1\right)^{2}\right)^{\frac{3}{2}}} + \frac{27 x^{6}}{\left(1 - \left(2 x^{3} + 1\right)^{2}\right)^{\frac{3}{2}} \operatorname{asin}^{2}{\left(2 x^{3} + 1 \right)}} + \frac{108 x^{6} \left(2 x^{3} + 1\right)^{2}}{\left(1 - \left(2 x^{3} + 1\right)^{2}\right)^{\frac{5}{2}}} + \frac{18 x^{3}}{\left(\left(2 x^{3} + 1\right)^{2} - 1\right) \operatorname{asin}{\left(2 x^{3} + 1 \right)}} + \frac{36 x^{3} \left(2 x^{3} + 1\right)}{\left(1 - \left(2 x^{3} + 1\right)^{2}\right)^{\frac{3}{2}}} + \frac{2}{\sqrt{1 - \left(2 x^{3} + 1\right)^{2}}}\right)}{\sqrt{\operatorname{asin}{\left(2 x^{3} + 1 \right)}}}$$