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Find the area bounded by $y = x^2$, the X-axis and the lines $x = -1$ and $x = 1$. |
$\frac{1}{3}$ $\frac{2}{3}$ $1$ $2$ |
$\frac{2}{3}$ |
The correct answer is Option (2) → $\frac{2}{3}$
$\text{Area of shaded region} = 2 \int_{0}^{1} x^2 dx$ $= \frac{2}{3} [x^3]_{0}^{1} = \frac{2}{3} \text{ sq. units}$ |
