Integration Using the Trapezoidal Rule

Integration using the trapezoidal rule is a numerical method employed to approximate the definite integral of a function over a given interval. This technique, widely used in computational mathematics and engineering, involves dividing the interval into smaller subintervals and approximating the area under the curve using trapezoids. By summing the areas of these trapezoids, an estimation of the integral is obtained. The trapezoidal rule provides a simple yet effective way to compute integrals, particularly when analytical methods are impractical or unavailable. In this essay, we will explore the principles behind the trapezoidal rule and its applications in various fields.