Answer
$0$
Work Step by Step
$ \int ^{b}_{a}f\left( x\right) dx=F\left( x\right) ]^{b}_{a}=F\left( b\right) -F\left( a\right) $
if $a=b$
$\Rightarrow \int ^{a}_{a}f\left( x\right) dx=F\left( a\right) -F\left( a\right) =0\Rightarrow \int ^{2}_{2}xdx=0$