Area under a curve -- exploration
An Exploration of how we can approximate the area under a curve. We are using Right endpoints for our boxes. 1) Enter the number of intervals to take (start with a small number) 2) Click the "Start" button to see the approximating rectangles and display the approximate area under the curve we find by adding the areas of these rectangles. 3) Compare this to the exact area under the curve which is calculated for you at the same time -- which one is bigger? Why? 4) Hit the "Reset" button to start over. 5) Choose a larger number of intervals and repeat the process by hitting the "Start" button. How can we make our approximations more accurate?