A plane region is enclosed on the right by the curve

MATHEMATICS · Multi-part · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A plane region

S

is enclosed on the right by the curve

x=\sqrt{4y}

, on the left by the

y

-axis, below by the

x

-axis, and above by the horizontal line

y=9

. (a) Express the area of

S

as a single definite integral with respect to

y

. (b) Evaluate the integral from part (a) to obtain the exact area of the region.