$\frac{d}{dx}\left(2\left(x-3\right)^3-2x\left(x-6\right)\left(x-3\right)\right)=6\left(x-3\right)^{2}-2\left(\left(x-6\right)\left(x-3\right)+x\left(x-3+x-6\right)\right)$
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Integral
$\int\left(2\left(x-3\right)^3-2x\left(x-6\right)\left(x-3\right)\right)dx=\frac{1}{2}\left(x-3\right)^{4}-\frac{1}{2}x^{4}+6x^{3}-18x^2+C_0$
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