2
1 2*x
------ - --------- + x*cos(|x|)*sign(x) + sin(|x|)
2 2
1 + x / 2\
\1 + x /
$$- \frac{2 x^{2}}{\left(x^{2} + 1\right)^{2}} + x \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)} + \sin{\left(\left|{x}\right| \right)} + \frac{1}{x^{2} + 1}$$
3
6*x 8*x 2
- --------- + 2*cos(|x|)*sign(x) + --------- - x*sign (x)*sin(|x|) + 2*x*DiracDelta(x)*cos(|x|)
2 3
/ 2\ / 2\
\1 + x / \1 + x /
$$\frac{8 x^{3}}{\left(x^{2} + 1\right)^{3}} - x \sin{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} + 2 x \cos{\left(\left|{x}\right| \right)} \delta\left(x\right) - \frac{6 x}{\left(x^{2} + 1\right)^{2}} + 2 \cos{\left(\left|{x}\right| \right)} \operatorname{sign}{\left(x \right)}$$
4 2
6 48*x 2 48*x 3
- --------- - --------- - 3*sign (x)*sin(|x|) + 6*DiracDelta(x)*cos(|x|) + --------- - x*sign (x)*cos(|x|) + 2*x*DiracDelta(x, 1)*cos(|x|) - 6*x*DiracDelta(x)*sign(x)*sin(|x|)
2 4 3
/ 2\ / 2\ / 2\
\1 + x / \1 + x / \1 + x /
$$- \frac{48 x^{4}}{\left(x^{2} + 1\right)^{4}} + \frac{48 x^{2}}{\left(x^{2} + 1\right)^{3}} - 6 x \sin{\left(\left|{x}\right| \right)} \delta\left(x\right) \operatorname{sign}{\left(x \right)} + 2 x \cos{\left(\left|{x}\right| \right)} \delta^{\left( 1 \right)}\left( x \right) - x \cos{\left(\left|{x}\right| \right)} \operatorname{sign}^{3}{\left(x \right)} - 3 \sin{\left(\left|{x}\right| \right)} \operatorname{sign}^{2}{\left(x \right)} + 6 \cos{\left(\left|{x}\right| \right)} \delta\left(x\right) - \frac{6}{\left(x^{2} + 1\right)^{2}}$$