A region is bounded by and

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Integrals · Applications of Integrals

Problem

A region is bounded by

y=x^{2}

and

y=4

. The region is revolved about the vertical line

x=5

. Decide whether integrating with respect to

x

or with respect to

y

avoids the need to invert

y=x^{2}

when setting up the volume integral. Provide your answer as either “

dx

” or “

dy

”.