2025, Vol. 10, Issue 12, Part A
Subdividing closed intervals using the trapezoid rule
Author(s): Mustafa Nadhim Salim
Abstract: This study showed how to divide closed periods into subintervals, reviewed the numerical approach known as the trapezoid rule, and reported the percentage of inaccuracy in the procedure. Many algorithms were employed and the trapezoid rule was applied to Closed interval [a, b]. The closed interval [a, b] has been divided into n equal-length sub- intervals, each of which has a length of h. The distance h between the starting point and the closed intervals limit is represented by the symbol h, and the length of the period is represented by the symbol h. Additionally, an algorithm was proposed that simulates the cultivation of agricultural crops using various existing methods. When a number of slices are created beneath the function curve and each slice has a shape that is similar to the pervert's, the value of h=(b-a)/n, where a is the start of the interval, b is the end of the interval, and n is the number of divisions, may be determined. In order to get exact responses, apply the trapezoid rule to each period and determine the integral for each subinterval.
DOI: 10.22271/maths.2025.v10.i12a.2211Pages: 67-70 | Views: 35 | Downloads: 4Download Full Article: Click Here
How to cite this article:
Mustafa Nadhim Salim.
Subdividing closed intervals using the trapezoid rule. Int J Stat Appl Math 2025;10(12):67-70. DOI:
10.22271/maths.2025.v10.i12a.2211