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  1. #include <iostream>
  2. #include <cmath>
  3.  
  4. using namespace std;
  5.  
  6. // Definicja funkcji
  7. double f(double x)
  8. {
  9.     return sin(x);
  10. }
  11.  
  12. // Metoda trapezów
  13. double trapezy(double a, double b, int n)
  14. {
  15.     double h = (b - a) / n;
  16.     double suma = (f(a) + f(b)) / 2.0;
  17.  
  18.     for (int i = 1; i < n; i++)
  19.     {
  20.         suma += f(a + i * h);
  21.     }
  22.  
  23.     return suma * h;
  24. }
  25.  
  26. int main()
  27. {
  28.     double a = 0.0;
  29.     double b = 3.14;
  30.  
  31.     int n1 = 10;
  32.     int n2 = 100;
  33.  
  34.     double s1 = trapezy(a, b, n1);
  35.     double s2 = trapezy(a, b, n2);
  36.  
  37.     cout << "Metoda trapezów dla f(x) = sin(x)\n";
  38.     cout << "Przedzial [" << a << ", " << b << "]\n\n";
  39.  
  40.     cout << "n = " << n1 << "  =>  s1 = " << s1 << endl;
  41.     cout << "n = " << n2 << "  =>  s2 = " << s2 << endl;
  42.  
  43.     return 0;
  44. }
  45.  
Success #stdin #stdout 0.01s 5292KB
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Standard input is empty
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Metoda trapezów dla f(x) = sin(x)
Przedzial [0, 3.14]

n = 10  =>  s1 = 1.98354
n = 100  =>  s2 = 1.99983
https://ideone.com/Eu7I8L
language:
C++ (gcc 8.3)
created:
4 hours ago
visibility:
public

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