A computational tool that approximates the definite integral of a function is utilized to determine the region bounded by the function’s graph, the x-axis, and two specified vertical lines. For instance, given a function f(x) and interval [a, b], the tool estimates the magnitude of the zone confined by f(x), the x-axis, x=a, and x=b.
This computational process finds application in diverse scientific and engineering disciplines. It facilitates calculations of accumulated change, such as displacement from velocity or total revenue from marginal revenue. Historically, the estimation of such regions was a labor-intensive process, often relying on geometric approximations. The advent of these tools has significantly streamlined this process, providing efficient and accurate solutions.
