Area Problem

Determining the area of a region with straight edges is straightforward, as geometric formulas for rectangles, triangles, and polygons can be applied directly. However, traditional geometric methods are insufficient when a region has a curved boundary, such as the area under a function.

A contractor needs to estimate the amount of paint required to cover a specific part of a wall with a curved top edge in one hundred model homes. To do this accurately, the wall’s surface area must be calculated.

If the curved edge follows a mathematical function, the problem reduces to finding the area under a given curve.

To approx...