This tool provides an approximation of the definite integral of a function using the right endpoint of subintervals within a given range. The method involves dividing the interval of integration into equal segments, calculating the function’s value at the rightmost point of each segment, multiplying these values by the segment’s width, and summing the results. The outcome yields an estimate of the area under the curve of the function within the defined interval.
The computational aid simplifies the often tedious task of manually calculating Riemann sums, especially when dealing with a large number of subintervals which are necessary for a more accurate approximation. Its use is beneficial in introductory calculus courses for visualizing and understanding the concept of integration. Historically, Riemann sums predate the more advanced methods of symbolic integration and provide a foundational understanding of the integral as the limit of a sum.
