Q.

The area of the curve $y = x^{2}$ bounded by the lines $x = 0, x = 2,$ and $y = 0$ is

Moderate

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By Expert Faculty of Sri Chaitanya

$\frac{4}{5}$

$\frac{3}{2}$

$\frac{3}{4}$

$\frac{8}{3}$

answer is D.

(Detailed Solution Below)

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Detailed Solution

The area of the shaded region is

$A = \int_{0}^{2} x^{2} d x = {[\frac{x^{3}}{3}]}_{0}^{2} = \frac{8}{3}$

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