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Q.
The area bounded by the curve $y^{ 2} = x$, line $y = 4$ and y-axis is
Application of Integrals
Solution:
We have, $y^{2} = x$ a parabola with vertex $(0, 0)$ and line $y=4$
Required area = area of shaded region
$A=\int\limits_{0}^{4} y^{2} dy=\left[\frac{y^{3}}{3}\right]_{0}^{4}=\frac{64}{3}$ sq. units
