Identify the integral that correctly represents the area enclosed between the curves…

MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

Identify the integral that correctly represents the area enclosed between the curves

x = y^{2}

and

x = 4

for

0 \le y \le 2

. (a)

\displaystyle \int_{0}^{2} (4 - y)\, dy

(b)

\displaystyle \int_{0}^{4} \sqrt{x}\, dx

(c)

\displaystyle \int_{0}^{2} (4 - y^{2})\, dy

(d)

\displaystyle \int_{0}^{2} (y^{2} - 4)\, dy