Question

set up the integral needed to find the area of the region bounded bewteen the graph of f(x)=24 2x−x2 and the x−axis .

Answer 1

To find the area of the region, set up the integral ∫[from x₁ to x₂] f(x) dx, where x₁ and x₂ are the x-values where the graph intersects the x-axis.

Step-by-step explanation:

To find the area of the region bounded between the graph of f(x) = 24 - 2x - x^2 and the x-axis, we can set up an integral. The integral represents the sum of the areas of infinitesimal strips between the graph and the x-axis. The integral setup would be:

∫[from x₁ to x₂] f(x) dx

where x₁ and x₂ are the x-values where the graph intersects the x-axis.