Answer
7
Work Step by Step
$\int^{1}_{\frac{1}{2}}24u^2du$
=24$\int^{1}_{\frac{1}{2}}u^2du$
=$24[\int_{0}^{1}u^2du-\int^{\frac{1}{2}}_{0}u^2du$
=$24[\frac{1^3}{3}-\frac{(\frac{1}{2})^3}{3}]$
=24$[\frac{\frac{7}{8}}{3}]$
=7
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