Practicing Success

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