2/3 / 2 \
2 2*x 2*acos(2*x) \-3 - 3*tan (3*x)/*(2*x + 3)
- -------- - ------------- + ----------- - ----------------------------
tan(3*x) __________ 3 ___ 2
/ 2 3*\/ x tan (3*x)
\/ 1 - 4*x
$$- \frac{2 x^{\frac{2}{3}}}{\sqrt{- 4 x^{2} + 1}} - \frac{\left(2 x + 3\right) \left(- 3 \tan^{2}{\left(3 x \right)} - 3\right)}{\tan^{2}{\left(3 x \right)}} + \frac{2 \operatorname{acos}{\left(2 x \right)}}{3 \sqrt[3]{x}} - \frac{2}{\tan{\left(3 x \right)}}$$
/ 2 \
| 5/3 / 2 \ / 2 \ / 2 \ |
| 4*x 6*\1 + tan (3*x)/ 4 acos(2*x) 9*\1 + tan (3*x)/ *(3 + 2*x) 9*\1 + tan (3*x)/*(3 + 2*x)|
2*|- ------------- + ----------------- - --------------------- - --------- - ---------------------------- + ---------------------------|
| 3/2 2 __________ 4/3 3 tan(3*x) |
| / 2\ tan (3*x) 3 ___ / 2 9*x tan (3*x) |
\ \1 - 4*x / 3*\/ x *\/ 1 - 4*x /
$$2 \left(- \frac{4 x^{\frac{5}{3}}}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}} + \frac{9 \cdot \left(2 x + 3\right) \left(\tan^{2}{\left(3 x \right)} + 1\right)}{\tan{\left(3 x \right)}} - \frac{9 \cdot \left(2 x + 3\right) \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2}}{\tan^{3}{\left(3 x \right)}} + \frac{6 \left(\tan^{2}{\left(3 x \right)} + 1\right)}{\tan^{2}{\left(3 x \right)}} - \frac{4}{3 \sqrt[3]{x} \sqrt{- 4 x^{2} + 1}} - \frac{\operatorname{acos}{\left(2 x \right)}}{9 x^{\frac{4}{3}}}\right)$$
/ 2 2 3 \
| / 2 \ 8/3 2/3 / 2 \ / 2 \ / 2 \ |
| 54*\1 + tan (3*x)/ 48*x 12*x 54*\1 + tan (3*x)/ / 2 \ 2 4*acos(2*x) 135*\1 + tan (3*x)/ *(3 + 2*x) 81*\1 + tan (3*x)/ *(3 + 2*x)|
2*|- ------------------- - ------------- - ------------- + ------------------ + 54*\1 + tan (3*x)/*(3 + 2*x) + -------------------- + ----------- - ------------------------------ + -----------------------------|
| 3 5/2 3/2 tan(3*x) __________ 7/3 2 4 |
| tan (3*x) / 2\ / 2\ 4/3 / 2 27*x tan (3*x) tan (3*x) |
\ \1 - 4*x / \1 - 4*x / 3*x *\/ 1 - 4*x /
$$2 \left(- \frac{48 x^{\frac{8}{3}}}{\left(- 4 x^{2} + 1\right)^{\frac{5}{2}}} + 54 \cdot \left(2 x + 3\right) \left(\tan^{2}{\left(3 x \right)} + 1\right) - \frac{135 \cdot \left(2 x + 3\right) \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2}}{\tan^{2}{\left(3 x \right)}} + \frac{81 \cdot \left(2 x + 3\right) \left(\tan^{2}{\left(3 x \right)} + 1\right)^{3}}{\tan^{4}{\left(3 x \right)}} + \frac{54 \left(\tan^{2}{\left(3 x \right)} + 1\right)}{\tan{\left(3 x \right)}} - \frac{12 x^{\frac{2}{3}}}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}} - \frac{54 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2}}{\tan^{3}{\left(3 x \right)}} + \frac{2}{3 x^{\frac{4}{3}} \sqrt{- 4 x^{2} + 1}} + \frac{4 \operatorname{acos}{\left(2 x \right)}}{27 x^{\frac{7}{3}}}\right)$$