# 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?

##### 1 Answer

Aug 14, 2017

#### Explanation:

The curve intersects the

or

Cut the interval

The right endpoints of the subintervals are

We can approximate the area under the curve on the

base

height

We then sum the areas of the rectangles

Finally, we take a limit as the subintervals get shorter and shorter (go to