The base of a solid is the region in the -plane bounded by and for

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

Problem

The base of a solid is the region in the

xy

-plane bounded by

y = 0

and

y = \sqrt{x}

for

0 \le x \le 4

. Cross sections perpendicular to the

y

-axis are squares. Determine a definite integral with respect to

y

that gives the volume of this solid. Do not evaluate the integral.