examday

/TMUA

The function $g(x)=\lfloor x\rfloor\cdot\lceil x\rceil$ is defined for all real $x$, where $\lfloor x\rfloor$ denotes the floor of $x$ and $\lceil x\rceil$ the ceiling of $x$.

Find the value of $\displaystyle\int_0^{10}g(x)\dd x$.