/************************************************
Grundlegende Algorithmen mit Java,
http://algorithmen-und-problemloesungen.de/
Copyright @2007-2009 by Doina Logofatu

in C#: Michael Gärtner
************************************************/

using System;
using System.IO;

namespace Logofatu
{
    class P03Integral
    {
        private static String FileInputName = "integral.in";
        private static String FileOutputName = "integral.out";
        private static IFormatProvider formatProvider =
            System.Globalization.CultureInfo.GetCultureInfo("en-US").NumberFormat;
        private static double EPS = 0.0001;

        private static double f(double x)
        {
            return 1 / (1 + x * x);
        }

        private static double integral(double a, double b)
        {
            if ( b - a > EPS )
            {
                double c = (a + b) / 2;
                return integral(a, c) + integral(c, b);
            }
            else
            {
                return (b - a) * (f(b) + f(a)) / 2;
            }
        }


        static void Main(string[] args)
        {
            StreamReader sr = null;
            StreamWriter sw = null;
            try
            {
                sr = new StreamReader(FileInputName);
                sw = new StreamWriter(FileOutputName);
                while ( !sr.EndOfStream )
                {
                    string[] sArray = sr.ReadLine().Split(' ');
                    double a = double.Parse(sArray[0], formatProvider);
                    double b = double.Parse(sArray[1], formatProvider);
                    sw.Write("I(");
                    sw.Write(a.ToString(formatProvider));
                    sw.Write(", ");
                    sw.Write(b.ToString(formatProvider));
                    sw.Write(") = ");
                    sw.WriteLine(integral(a, b).ToString("F8",formatProvider));
                }
            }
            catch ( IOException ex )
            {
                Console.WriteLine("Fehler bei der Dateiverarbeitung!\n" + ex);
            }
            finally
            {
                if ( sr != null )
                {
                    sr.Close();
                }
                if ( sw != null )
                {
                    sw.Close();
                }
            }
        }
    }
}