Answer
$-6$
Work Step by Step
$$\int ^{a}_{b}f\left( x\right) dx=-\int ^{b}_{a}f\left( x\right) dx$$
If $\int ^{4}_{2}xdx=6$ (as given in question) $\Rightarrow $
$$\int ^{2}_{4}xdx=-6$$
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