- (a) The region is sketched in the figure. The pertinent points of intersection are labeled.
(b) The required area consists of two parts. The area of the triangle is represented by
and is equal to 1, while the area of the region bounded at the left by x = 1,
above by y = x + 4, and at the right by the parabola is represented by This
equalsThe required area, thus, equals