Question

Find the area of the region bounded by the graphs of y = 2 − x2 and y = −x.

4.5

1.5

−1.833

None of these

Answer 1

x-intersect points

y=y

-x = 2 - x²

x² - x - 2 = 0

(x+1)(x-2) = 0

x=-1 or x=2

area is absolute value of integration from x=-1 to x=2

(x² - x - 2) dx = 9/2 = 4.5