Find the area (in square units) of the region under the graph of the function f on the interval [−2, 1]f(x) = −x^2 + 5.

Answer 1

-x^3/3 +5x from -2 to 1

=-1/3 +5 - (8/3-10)

=-1/3-8/3 +5+10

=-3+15

= 12