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