Answer
$W= 2.23 \times 10^{-9}\ J$
Work Step by Step
We know that 4.5 mL is the same as $4.5 \times 10^{-6}m^3$. Thus, we find:
$W = \int_0^{4.5 \times 10^{-6}} (10v^3 - 67v^2+220v )dv$
$W= 2.23 \times 10^{-9}\ J$
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