Problem Solving: Approximating Area Under a Curve

Have you ever wondered how we can find the area under a curve? One way is to estimate it using rectangles placed along the curve. As the number of rectangles increases, the estimate gets closer to the actual area. This interactive tool lets you explore how changing the number of rectangles affects the result, while also introducing the idea of the definite integral.

The Area Approximation Problem

Adjust the number of rectangles by sliding the slider and observe how they cover the curve. How does increasing the number of rectangles affect the total estimated area?