Mathematics calclus

Question

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

f(x)=-x^2+9

Answer 1

∫_-1² - x² + 9 dx = - 1/3x³ + 9x ]_-1² = -8/3 + 18 - (1/3 - 9) = 24