The area bounded by \( y=x^{2}, y=[x+1], 0 \leq x \leq 2 \) and the...

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The area bounded by \( y=x^{2}, y=[x+1], 0 \leq x \leq 2 \) and the \( y \)-axis is where [.] is greatest integer function.
\( \mathrm{P} \)
(1) \( \frac{1}{3} \)
(2) \( \frac{\sqrt{2}}{3} \)
W
(3) 1
(4) \( \frac{7}{3} \)
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