Amaliy matematika va informatika” yo’nalishi 18. 07-guruh talabasi Normatov Omadbek Rahmonjon o’g’lining

ILOVA

Masala. integralning qiymatini trapetsiyalar hamda Simpson formulasi yordamida dasturini tuzing.(a=0; b ;n=10 olib ko’ramiz.)
using System;
using System.Collections.Generic;
using System.Drawing;
using System.Windows.Forms;

namespace hisoblashusul
{
    /// <summary>
    /// Description of MainForm.
    /// </summary>
    public partial class MainForm : Form
    {int n,i;
            double a,b,h,s=0,t=0;
        public MainForm()
        {
            //
            // The InitializeComponent() call is required for Windows Forms designer support.
            //
            InitializeComponent();
            
            //
            // TODO: Add constructor code after the InitializeComponent() call.
            //
        }
        void MainFormLoad(object sender, EventArgs e)
        {
            
        }
        void Button1Click(object sender, EventArgs e)
        {
            a=double.Parse(textBox1.Text);
            b=double.Parse(textBox2.Text);
            n=int.Parse(textBox3.Text);
            h=(b-a)/n;
            Double[] g=new double[n+2];
            Double[] y=new double[n+2];
            for(i=0;i<=n;i++)
            {
            g[i]=a+i*h;y[i]=1/(g[i]+1);
            }
            //Simpson qonuni
            for(i=0;i<=n;i++)
            {
                if (i == 0 || i == n)
                {s += y[i];t+=y[i]/2;}
            else if (i % 2 != 0)
            {s += 4 * y[i];t+=y[i];}
            else
            {s += 2 * y[i];t+=y[i];}
            }
            s=s*h/3;t=t*h;
            textBox4.Text=s.ToString();
            textBox5.Text=t.ToString();
        }
    }
}

Dastur natijasi.

Dastur natijasidan Simpson usulining trapetsiya usuliga nisbatan aniq yechimga juda yaqinligi ko’rinib turibdi.