3
tan (x) 2 / 2 \
------- + tan (x)*\3 + 3*tan (x)/*atan(x)
2
1 + x
$$\left(3 \tan^{2}{\left(x \right)} + 3\right) \tan^{2}{\left(x \right)} \operatorname{atan}{\left(x \right)} + \frac{\tan^{3}{\left(x \right)}}{x^{2} + 1}$$
/ 2 / 2 \ \
| x*tan (x) 3*\1 + tan (x)/*tan(x) / 2 \ / 2 \ |
2*|- --------- + ---------------------- + 3*\1 + tan (x)/*\1 + 2*tan (x)/*atan(x)|*tan(x)
| 2 2 |
| / 2\ 1 + x |
\ \1 + x / /
$$2 \left(- \frac{x \tan^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \left(2 \tan^{2}{\left(x \right)} + 1\right) \operatorname{atan}{\left(x \right)} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x^{2} + 1}\right) \tan{\left(x \right)}$$
/ / 2 \ \
| 3 | 4*x | |
|tan (x)*|-1 + ------| |
| | 2| / 2 \ 2 / 2 \ / 2 \ / 2 \ |
| \ 1 + x / / 2 \ |/ 2 \ 4 2 / 2 \| 9*x*tan (x)*\1 + tan (x)/ 9*\1 + tan (x)/*\1 + 2*tan (x)/*tan(x)|
2*|--------------------- + 3*\1 + tan (x)/*\\1 + tan (x)/ + 2*tan (x) + 7*tan (x)*\1 + tan (x)//*atan(x) - ------------------------- + --------------------------------------|
| 2 2 2 |
| / 2\ / 2\ 1 + x |
\ \1 + x / \1 + x / /
$$2 \left(- \frac{9 x \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}} + 3 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 7 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + 2 \tan^{4}{\left(x \right)}\right) \operatorname{atan}{\left(x \right)} + \frac{9 \left(\tan^{2}{\left(x \right)} + 1\right) \left(2 \tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}}{x^{2} + 1} + \frac{\left(\frac{4 x^{2}}{x^{2} + 1} - 1\right) \tan^{3}{\left(x \right)}}{\left(x^{2} + 1\right)^{2}}\right)$$