Region is bounded by ,

MATHEMATICS · Subjective · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Region

S

is bounded by

y=x^{2}

y=6

, and the

y

–axis. The region is revolved about the vertical line

x=4

. Express, without evaluating, the definite integral in terms of

y

that gives the volume of the solid of revolution.