JEE Main 2022 · 27 Jul · Shift 2, Mathematics question 27

Let $f(x)=\min\{[x-1],[x-2],\ldots,[x-10]\}$ where $[t]$ denotes the greatest integer $\le t$. Then $\displaystyle\int_0^{10}f(x)\,dx+\int_0^{10}(f(x))^2dx+\int_0^{10}|f(x)|\,dx$ is equal to ______.