Answer
$a^{2}$
Work Step by Step
Using equation (2), we have
$\int^{\sqrt {3}a}_{a}xdx=\frac{(\sqrt {3}a)^{2}}{2}-\frac{a^{2}}{2}= \frac{3a^{2}}{2}-\frac{a^{2}}{2}=a^{2}$
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