Let region be enclosed by the two curves and

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

Problem

Let region

S

be enclosed by the two curves

\displaystyle x=4-y^{2}

and

\displaystyle x=y+2

. The curves intersect at two distinct

y

–values. (a) Determine the exact

y

–coordinates of the intersection points. (b) Calculate, in exact form, the area of region

S