Answer
$W=\frac{F_0x_0}{3}$
Work Step by Step
We know the following equation for work:
$W=\int_0^{x}F(x)dx$
Thus, we find:
$W=\int_0^{x_0}\frac{F_0}{x^2}x^2dx$
$W = \frac{F_0}{x_0^2} \frac{x_0^3}{3}$
$W=\frac{F_0x_0}{3}$
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