If \( f(x)=\left\{\begin{array}{ll}x, & \text { for } x1 \\ x-1, & \text { for } x \geq 1\end{ar...
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If \( f(x)=\left\{\begin{array}{ll}x, & \text { for } x1 \\ x-1, & \text { for } x \geq 1\end{array}\right. \), then \( \int_{0}^{2} x^{2} f(x) d x \) is equal to
(A) 1
(B) \( \frac{4}{3} \)
(C) \( \frac{5}{3} \)
(D) \( \frac{5}{2} \)
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