/ 2\ / 3\
2*\4 + 3*x /*asin\4*x + x /
---------------------------
_________________
/ 2
/ / 3\
\/ 1 - \4*x + x /
$$\frac{2 \left(3 x^{2} + 4\right) \operatorname{asin}{\left(x^{3} + 4 x \right)}}{\sqrt{1 - \left(x^{3} + 4 x\right)^{2}}}$$
/ 2 2 \
| / 2\ / / 2\\ / 2\ / 2\ / / 2\\|
| \4 + 3*x / 6*x*asin\x*\4 + x // x*\4 + 3*x / *\4 + x /*asin\x*\4 + x //|
2*|- ----------------- + ---------------------- + ---------------------------------------|
| 2 __________________ 3/2 |
| 2 / 2\ / 2 / 2\ |
| -1 + x *\4 + x / / 2 / 2\ | 2 / 2\ | |
\ \/ 1 - x *\4 + x / \1 - x *\4 + x / / /
$$2 \left(\frac{x \left(x^{2} + 4\right) \left(3 x^{2} + 4\right)^{2} \operatorname{asin}{\left(x \left(x^{2} + 4\right) \right)}}{\left(- x^{2} \left(x^{2} + 4\right)^{2} + 1\right)^{\frac{3}{2}}} + \frac{6 x \operatorname{asin}{\left(x \left(x^{2} + 4\right) \right)}}{\sqrt{- x^{2} \left(x^{2} + 4\right)^{2} + 1}} - \frac{\left(3 x^{2} + 4\right)^{2}}{x^{2} \left(x^{2} + 4\right)^{2} - 1}\right)$$
/ 3 3 2 3 \
| / / 2\\ / 2\ / / 2\\ / 2\ / 2\ / 2\ 2 / 2\ / 2\ / / 2\\ 2 / 2\ / 2\ / / 2\\|
| 6*asin\x*\4 + x // \4 + 3*x / *asin\x*\4 + x // 18*x*\4 + 3*x / 3*x*\4 + 3*x / *\4 + x / 3*x *\4 + x / *\4 + 3*x / *asin\x*\4 + x // 18*x *\4 + x /*\4 + 3*x /*asin\x*\4 + x //|
2*|---------------------- + ---------------------------- - ----------------- + ------------------------ + ------------------------------------------- + ------------------------------------------|
| __________________ 3/2 2 2 5/2 3/2 |
| / 2 / 2\ 2 / 2\ / 2\ / 2\ / 2\ |
| / 2 / 2\ | 2 / 2\ | -1 + x *\4 + x / | 2 / 2\ | | 2 / 2\ | | 2 / 2\ | |
\\/ 1 - x *\4 + x / \1 - x *\4 + x / / \-1 + x *\4 + x / / \1 - x *\4 + x / / \1 - x *\4 + x / / /
$$2 \left(\frac{3 x^{2} \left(x^{2} + 4\right)^{2} \left(3 x^{2} + 4\right)^{3} \operatorname{asin}{\left(x \left(x^{2} + 4\right) \right)}}{\left(- x^{2} \left(x^{2} + 4\right)^{2} + 1\right)^{\frac{5}{2}}} + \frac{18 x^{2} \left(x^{2} + 4\right) \left(3 x^{2} + 4\right) \operatorname{asin}{\left(x \left(x^{2} + 4\right) \right)}}{\left(- x^{2} \left(x^{2} + 4\right)^{2} + 1\right)^{\frac{3}{2}}} + \frac{3 x \left(x^{2} + 4\right) \left(3 x^{2} + 4\right)^{3}}{\left(x^{2} \left(x^{2} + 4\right)^{2} - 1\right)^{2}} - \frac{18 x \left(3 x^{2} + 4\right)}{x^{2} \left(x^{2} + 4\right)^{2} - 1} + \frac{\left(3 x^{2} + 4\right)^{3} \operatorname{asin}{\left(x \left(x^{2} + 4\right) \right)}}{\left(- x^{2} \left(x^{2} + 4\right)^{2} + 1\right)^{\frac{3}{2}}} + \frac{6 \operatorname{asin}{\left(x \left(x^{2} + 4\right) \right)}}{\sqrt{- x^{2} \left(x^{2} + 4\right)^{2} + 1}}\right)$$