Question

$$\displaystyle\int{ \frac{ 3 { x }^{ 2 } }{ x-2 } }d x$$

Evaluate

$12\ln(|x-2|)+\frac{3x^{2}}{2}+6x+С$

Differentiate w.r.t. x

$\frac{3x^{2}}{x-2}$