Let $f(x)=\int_{0}^{x} \mathrm{t}\left(\mathrm{t}^{2}-9 \mathrm{t}+20\right) \mathrm{dt}, 1 \leq x \leq 5$. If the range of $f$ is $[\alpha, \beta]$, then $4(\alpha+\beta)$ equals:
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