Math Problem Solver

on is defined by three curves:

1. y = x^2 (a parabola),

2. y = x + 2 (a straight line),

3. y = -x + 3 (another straight line).

The vertices of the enclosed region are:

• (-1, 1), where y = x^2 intersects y = x + 2,

• (2, 2), where y = x^2 intersects y = -x + 3,

• (3, 0), where y = -x + 3 intersects y = x + 2.

find the area using double or triple integral