A region in the first quadrant is bounded above by on and by on

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

Problem

A region in the first quadrant is bounded above by

y=2x

0\le x\le1

and by

y=2

1< x\le3

. It is bounded below by the

x

-axis on

0\le x\le1

and by

y=x-1

1< x\le3

. Calculate the exact volume of the solid generated when the entire region is revolved about the

x

-axis.