Let be the region in the first quadrant bounded above by the curve and below by the -axis

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

Problem

Let

R

be the region in the first quadrant bounded above by the curve

y=\sqrt{4-x}

and below by the

x

-axis. The region is rotated about the line

y=-2

. Write, but do NOT evaluate, a single definite integral with respect to

x

that represents the volume of the resulting solid.