/ 2 1 \ / 1 \
|- -------- - ------|*cos|- ----- + atan(2*x)|
| 2 4/3| | 3 ___ |
\ 1 + 4*x 3*x / \ \/ x /
$$\left(- \frac{2}{4 x^{2} + 1} - \frac{1}{3 x^{\frac{4}{3}}}\right) \cos{\left(\operatorname{atan}{\left(2 x \right)} - \frac{1}{\sqrt[3]{x}} \right)}$$
2
/ 1 6 \ / 1 \ / 1 36*x \ / 1 \
|---- + --------| *sin|- ----- + atan(2*x)| + 4*|---- + -----------|*cos|- ----- + atan(2*x)|
| 4/3 2| | 3 ___ | | 7/3 2| | 3 ___ |
\x 1 + 4*x / \ \/ x / |x / 2\ | \ \/ x /
\ \1 + 4*x / /
---------------------------------------------------------------------------------------------
9
$$\frac{4 \left(\frac{36 x}{\left(4 x^{2} + 1\right)^{2}} + \frac{1}{x^{\frac{7}{3}}}\right) \cos{\left(\operatorname{atan}{\left(2 x \right)} - \frac{1}{\sqrt[3]{x}} \right)} + \left(\frac{6}{4 x^{2} + 1} + \frac{1}{x^{\frac{4}{3}}}\right)^{2} \sin{\left(\operatorname{atan}{\left(2 x \right)} - \frac{1}{\sqrt[3]{x}} \right)}}{9}$$
3 / 2 \
/ 1 6 \ / 1 \ | 108 7 1728*x | / 1 \ / 1 36*x \ / 1 6 \ / 1 \
|---- + --------| *cos|- ----- + atan(2*x)| - 4*|- ----------- + ----- + -----------|*cos|- ----- + atan(2*x)| - 12*|---- + -----------|*|---- + --------|*sin|- ----- + atan(2*x)|
| 4/3 2| | 3 ___ | | 2 10/3 3| | 3 ___ | | 7/3 2| | 4/3 2| | 3 ___ |
\x 1 + 4*x / \ \/ x / | / 2\ x / 2\ | \ \/ x / |x / 2\ | \x 1 + 4*x / \ \/ x /
\ \1 + 4*x / \1 + 4*x / / \ \1 + 4*x / /
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
27
$$\frac{- 12 \left(\frac{36 x}{\left(4 x^{2} + 1\right)^{2}} + \frac{1}{x^{\frac{7}{3}}}\right) \left(\frac{6}{4 x^{2} + 1} + \frac{1}{x^{\frac{4}{3}}}\right) \sin{\left(\operatorname{atan}{\left(2 x \right)} - \frac{1}{\sqrt[3]{x}} \right)} + \left(\frac{6}{4 x^{2} + 1} + \frac{1}{x^{\frac{4}{3}}}\right)^{3} \cos{\left(\operatorname{atan}{\left(2 x \right)} - \frac{1}{\sqrt[3]{x}} \right)} - 4 \left(\frac{1728 x^{2}}{\left(4 x^{2} + 1\right)^{3}} - \frac{108}{\left(4 x^{2} + 1\right)^{2}} + \frac{7}{x^{\frac{10}{3}}}\right) \cos{\left(\operatorname{atan}{\left(2 x \right)} - \frac{1}{\sqrt[3]{x}} \right)}}{27}$$