Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Application of Integrals

Question:

The area (in sq. units) of the region bounded by the curve y = x2 and the line y = 4 is

Options:

$\frac{16}{3}$

$\frac{32}{3}$

32

24

Correct Answer:

$\frac{32}{3}$

Explanation:

Symmetrical about y axis

so  A = $2 × \int\limits_0^4 \sqrt{y} dy$

$=2 \times \frac{3}{3}\left[y^{3 / 2}\right]_0^4$

$=\frac{32}{3}$ sq. units

Option: B