Correct Answer: Option C

Explanation

\(y = x(2-x) \Rightarrow y= 2x - x^{2}\);

\(\int^{2}_{0}(2x-x^{2} = (x^{2}-\frac{x{3}}{3})^{2}\)
solving further gives (4 - \(\frac{1}{3} * 8) - (0) = \frac{4}{3} sq\hspace{1 mm}unit\)

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