Region R is bounded by ,

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

Problem

Region R is bounded by

y=\sqrt{x}

y=0

, and

x=4

. When R is revolved about the line

y=-1

, decide whether integrating with respect to

x

or with respect to

y

will yield a simpler integrand in the volume integral, and explain your choice in one concise sentence.