$$\displaystyle\int{ \frac{ 1 }{ 3 } (2 { x }^{ 2 } -6x+4) { e }^{ -2x } }d x$$
$\frac{\left(1-x\right)\left(x-1\right)}{3e^{2x}}+С$
$\frac{2\left(x-2\right)\left(x-1\right)}{3e^{2x}}$