Area of the region bounded by the curve

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

Area of the region bounded by the curve $y^2=4x, y-$ axis and the line $y=3$ is

Options:

$2$

$\frac{9}{4}$

$\frac{9}{3}$

$\frac{9}{2}$

Correct Answer:

$\frac{9}{4}$

Explanation:

Required area =$\left|\int_{0}^{2}\frac{y^2}{4}dy\right|$