/ 3*x\ -x
-x -x 5*x*|-3 + ---|*e
5*e - 5*x*e \ 2 /
--------------- - --------------------
3/2 2 3/2
|-2 + x| (2 - x) *|-2 + x|
$$- \frac{5 x \left(\frac{3 x}{2} - 3\right) e^{- x}}{\left(2 - x\right)^{2} \left|{x - 2}\right|^{\frac{3}{2}}} + \frac{- 5 x e^{- x} + 5 e^{- x}}{\left|{x - 2}\right|^{\frac{3}{2}}}$$
/ / 3*(-2 + x)*sign(-2 + x)\\
| 3*x*|2 + -----------------------||
| 3*(-1 + x) \ |-2 + x| /| -x
5*|-2 + x + ---------- + ---------------------------------|*e
| -2 + x 2 |
\ 4*(-2 + x) /
---------------------------------------------------------------
3/2
|-2 + x|
$$\frac{5 \left(x + \frac{3 x \left(\frac{3 \left(x - 2\right) \operatorname{sign}{\left(x - 2 \right)}}{\left|{x - 2}\right|} + 2\right)}{4 \left(x - 2\right)^{2}} - 2 + \frac{3 \left(x - 1\right)}{x - 2}\right) e^{- x}}{\left|{x - 2}\right|^{\frac{3}{2}}}$$
/ / 2 \ \
| | 8 12*sign(-2 + x) 15*sign (-2 + x) 12*(-2 + x)*DiracDelta(-2 + x)| / 3*(-2 + x)*sign(-2 + x)\|
| 3*x*|------ + --------------- + ---------------- - ------------------------------| 9*(-1 + x)*|2 + -----------------------||
|3 \-2 + x |-2 + x| -2 + x |-2 + x| / \ |-2 + x| /| -x
-5*|- + x + ---------------------------------------------------------------------------------- + ----------------------------------------|*e
|2 2 2 |
\ 8*(-2 + x) 4*(-2 + x) /
----------------------------------------------------------------------------------------------------------------------------------------------
3/2
|-2 + x|
$$- \frac{5 \left(x + \frac{3 x \left(- \frac{12 \left(x - 2\right) \delta\left(x - 2\right)}{\left|{x - 2}\right|} + \frac{12 \operatorname{sign}{\left(x - 2 \right)}}{\left|{x - 2}\right|} + \frac{15 \operatorname{sign}^{2}{\left(x - 2 \right)}}{x - 2} + \frac{8}{x - 2}\right)}{8 \left(x - 2\right)^{2}} + \frac{3}{2} + \frac{9 \left(x - 1\right) \left(\frac{3 \left(x - 2\right) \operatorname{sign}{\left(x - 2 \right)}}{\left|{x - 2}\right|} + 2\right)}{4 \left(x - 2\right)^{2}}\right) e^{- x}}{\left|{x - 2}\right|^{\frac{3}{2}}}$$