Mathc initiation/Fichiers c : c74c04
Installer et compiler ces fichiers dans votre répertoire de travail.
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c01d.c |
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/* ---------------------------------- */
/* save as c1d.c */
/* ---------------------------------- */
#include "x_hfile.h"
#include "fd.h"
/* ---------------------------------- */
int main(void)
{
int n = 2*50;
double a = 0.5;
double b = 1.5;
clrscrn();
printf(" With the Simpson's rule. (n = %d)\n\n"
" (%.3f\n"
" int( (%s) dx = %.6f\n"
" (%.3f\n\n\n\n",n, b, feq, simpson(f,a,b,n), a);
printf(" With the antiderivative of f.\n\n"
" F(x) = %s \n\n\n"
" F(%.3f) - F(%.3f) = %.6f \n\n\n", Feq, b,a, F(b)-F(a));
stop();
return 0;
}
/* ---------------------------------- */
Calculons l'intégrale avec la fonction simpson(f,a,b,n); puis avec sa primitive F(x).
Exemple de sortie écran :
With the Simpson's rule. (n = 100)
(1.500
int( (cot(x)) dx = 0.732659
(0.500
With the antiderivative of f.
F(x) = ln( |sin(x)| )
F(1.500) - F(0.500) = 0.732659
Press return to continue.
Calculons la primitive :
Calculer la primitive de
/ /
| cot(x) dx = | cos(x)/sin(x) dx
/ /
_______________________
/ cos(x) dx | u = sin(x) |
= | ----- | du = cos(x) dx |
/ sin(x) |_____________________|
/ / 1
| cot(x) dx = | ----- du
/ / u
= ln( |u| ) + c
= ln( |sin(x)| ) + c