The curves and enclose a region in the plane

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

Problem

The curves

x = y^{2} - 4

and

x = 2y - 1

enclose a region in the plane. When the area of this region is computed by integrating with respect to

y

, which of the following are the correct limits of integration? (a)

y = -3 \text{ to } y = 1

(b)

y = 1 \text{ to } y = 3

(c)

y = -1 \text{ to } y = 3

(d)

y = -1 \text{ to } y = 1