Area bounded by parabola $y^{2}=x$ and

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

Area bounded by parabola $y^{2}=x$ and straight line $y=\frac{x}{2}$ is

Options:

$\frac{4}{3}$

$1$

$\frac{2}{3}$

$\frac{1}{3}$

Correct Answer:

$\frac{4}{3}$

Explanation:

$\begin{aligned}\text{Area}&=\int_{0}^{4}\left[\sqrt{x}-\frac{1}{2}x\right]\\ &=\frac{4}{3}sq. units\end{aligned}$