Analysis of Numerical Integration Methods for Estimating Pond Area: A Case Study of Kanuru Pond

This study presents a comprehensive evaluation of numerical integration methods applied to estimate the area of Kanuru Pond, which spans 216 meters in width. Four distinct integration techniques, including the Trapezoidal Rule, Simpson’s 1/3 Rule, Simpson’s 3/8 Rule, and Weddle’s Rule, were employed with varying segment counts. The results were compared against the exact area value obtained from a GPS Area Calculator application. Findings indicate that among the methods studied, Simpson’s 3/8 Rule consistently demonstrated rapid convergence when the subdivision count was even, yielding highly accurate approximations closely aligned with the exact area. This research highlights the effectiveness of Simpson’s 3/8 Rule in solving definite integral problems and emphasizes its suitability for estimating irregularly shaped areas, such as Kanuru Pond. These insights contribute to the broader understanding of numerical integration methods and their practical applications in geospatial analysis.