2010013803

Any positive real number \(x\) can be written as \(x=c+d\), where \(c\) is an integer and \(d\in[ \left. 0,1\right)\). Then \(c\) is called the integer part of \(x\) and is denoted by \(\left[x\right]\). Evaluate the following definite integral. \[\int\limits_{\frac52}^{2.8}\left[x\right]\,\mathrm{d}x \]