Question : Evaluate the Integral

$\displaystyle \int_{0}^{4} |x-2| dx$

Solution

My work::::::::::::::::::::::::::;;;;;;

$\displaystyle \int_{0}^{4} |x-2| dx$ = $\displaystyle \int_{0}^{4} (x-2) dx$ = $\displaystyle \int_{0}^{4} x dx - \int_{0}^{4} 2 dx$ =.....= $\displaystyle 0$....................Is this correct???