Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area of the region bounded by the curve y = x 2 and the line y = 16

Options:

101/3

256/3

322/3

235/3

Correct Answer:

256/3

Explanation:

\(⇒2\int_{0}^{16}\sqrt{y}dy\)

$=2. \frac{2}{3}\begin{bmatrix}y^{\frac{3}{2}}\end{bmatrix}_0^{16}$

$⇒2(\frac{2}{3})[4^3]$

$=\frac{256}{3}$ sq. units