Let T be the set of all points that satisfy the following conditions

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

Let T be the set of all points that satisfy the following conditions. •

-2\le x\le 4

•

x^{2}\le y\le 6

A subregion H inside T is bounded by

x^{2}\le y\le x+2

on the interval

-2\le x\le 2

. The region of interest is

T\setminus H

(T with H removed). What is the exact area of

T\setminus H

? (a)

12

(b)

\dfrac{28}{3}

(c)

\dfrac{15}{2}

(d)

\dfrac{20}{3}