/ 2\
cos(x) sin(x) \x /
------ - ------ + 2*x*e + x*cos(x)*sign(sin(x)) + |sin(x)|
x 2
x
$$2 x e^{x^{2}} + x \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)} + \left|{\sin{\left(x \right)}}\right| + \frac{\cos{\left(x \right)}}{x} - \frac{\sin{\left(x \right)}}{x^{2}}$$
/ 2\ / 2\
\x / sin(x) 2*cos(x) 2*sin(x) 2 \x / 2
2*e - ------ - -------- + -------- + 2*cos(x)*sign(sin(x)) + 4*x *e - x*sign(sin(x))*sin(x) + 2*x*cos (x)*DiracDelta(sin(x))
x 2 3
x x
$$4 x^{2} e^{x^{2}} - x \sin{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)} + 2 x \cos^{2}{\left(x \right)} \delta\left(\sin{\left(x \right)}\right) + 2 e^{x^{2}} + 2 \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)} - \frac{\sin{\left(x \right)}}{x} - \frac{2 \cos{\left(x \right)}}{x^{2}} + \frac{2 \sin{\left(x \right)}}{x^{3}}$$
/ 2\ / 2\
cos(x) 6*sin(x) 3*sin(x) 6*cos(x) 2 3 \x / \x / 3
- ------ - -------- - 3*sign(sin(x))*sin(x) + -------- + -------- + 6*cos (x)*DiracDelta(sin(x)) + 8*x *e + 12*x*e - x*cos(x)*sign(sin(x)) + 2*x*cos (x)*DiracDelta(sin(x), 1) - 6*x*DiracDelta(sin(x))*cos(x)*sin(x)
x 4 2 3
x x x
$$8 x^{3} e^{x^{2}} + 12 x e^{x^{2}} - 6 x \sin{\left(x \right)} \cos{\left(x \right)} \delta\left(\sin{\left(x \right)}\right) + 2 x \cos^{3}{\left(x \right)} \delta^{\left( 1 \right)}\left( \sin{\left(x \right)} \right) - x \cos{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)} - 3 \sin{\left(x \right)} \operatorname{sign}{\left(\sin{\left(x \right)} \right)} + 6 \cos^{2}{\left(x \right)} \delta\left(\sin{\left(x \right)}\right) - \frac{\cos{\left(x \right)}}{x} + \frac{3 \sin{\left(x \right)}}{x^{2}} + \frac{6 \cos{\left(x \right)}}{x^{3}} - \frac{6 \sin{\left(x \right)}}{x^{4}}$$