The region in the -plane between the curves and

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

Problem

The region in the

xy

-plane between the curves

x=y^2

and

x=6-y^2

, for

-2\leq y\leq2

, is revolved about the vertical line

x=4

. Write, but do not evaluate, the complete piecewise definite integral expression that gives the volume of the resulting solid.