Consider the function #f(x)= -(x-3)^2+4# how do you write an equation using a limit to determine the area enclosed by f(x) and the x-axis?
The curve intersects the
Cut the interval
The right endpoints of the subintervals are
We can approximate the area under the curve on the
We then sum the areas of the rectangles
Finally, we take a limit as the subintervals get shorter and shorter (go to