Area bounded by the curves \(y=\sqrt{x},

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

Area bounded by the curves \(y=\sqrt{x},x=2y+3\) in the first quadrant and \(x-\) axis is

Options:

\(2\sqrt{3}\)

\(18\)

\(9\)

\(\frac{34}{3}\)

Correct Answer:

\(9\)

Explanation:

\(\begin{aligned}\text{Area}&=\int_{0}^{3}(2y+3-y^{2})dy\\ &=9\end{aligned}\)