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Integral III (método de Simpson)

luizaspan | PRO | 09/30/15 08:22:17 PM UTC | 0 ⭐ | 706 👁️ | Never ⏰ | []
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#include <stdio.h>
#include <math.h>
 
#define N 1000
 
double f(double x)
{
    return 1/x;
}
 
int main(void)
{
    int i;
    double h,soma=0.0f,a=0.1;
 
    h=(1.0-a)/N;
 
    for (i=1;i<=N-1;i+=2)
    {
        double x1,x2,x3; // ou definir apenas x=a+h*i e em x1 -> x-h, x2 -> x+h
        x1=a+h*(i-1);
        x2=a+h*(i);
        x3=a+h*(i+1);
 
        soma += (1./3)*h*(f(x1)+4*f(x2)+f(x3));
    }
 
    double e = fabs((-log(a)-soma)/-log(a));
 
    printf("Valor calculado: %.15e \nValor real: %.15e \n",soma,-log(a));
    printf("Erro: %e % \n",e*100);
 
    return 0;
}
 
 
// erro = 1/90 * h^4 * [f'''(a) - f'''(b)]

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