Answer
$\frac{1}{24}$
Work Step by Step
Because $0\lt1/2$, by Equation (4): $\int_{0}^{1/2} t^2 dt=\frac{(\frac{1}{2})^3}{3}-\frac{0^3}{3}=\frac{\frac{1}{8}}{3}-\frac{0}{3}=\frac{1}{24}$
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