Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area bounded by the curves \(y=x^{2}\) and \(y=2|x|\) is

Options:

\(\frac{4}{3}\)

\(\frac{2}{3}\)

\(\frac{8}{3}\)

\(\frac{1}{3}\)

Correct Answer:

\(\frac{8}{3}\)

Explanation:

Area = $2\int\limits_{0}^{2}(2x-x^{2})dx$

$=2\left(4-\frac{8}{3}\right)=2×\frac{4}{3}$

$=\frac{8}{3}$ sq. units