Consider the integral \(I={\int }_{0}^{10}\frac{[x]{e}^{[x]}}{{e}^{x-1}}dx\), where \([x]\) denotes the greatest integer…

Consider the integral \(I={\int }_{0}^{10}\frac{[x]{e}^{[x]}}{{e}^{x-1}}dx\), where \([x]\) denotes the greatest integer less than or equal to \(x\). Then the value of \(I\) is equal to:

[JEE Main 2021, 16 Mar (Shift 2)]