At a particular value of

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

Problem

y

, a horizontal slice of a planar region has left boundary at

x = x_L(y)

and right boundary at

x = x_R(y)

. Which differential expression represents the area of this slice to be used in a definite integral with respect to

y

? (a)

(x_R(y)+x_L(y))\,dy

(b)

\dfrac{x_R(y)-x_L(y)}{dy}

(c)

(x_R(y)-x_L(y))\,dy

(d)

(x_L(y)-x_R(y))\,dy