±¸°£ [a,b]¿¡¼ ¿¬¼ÓÀÎ ÇÔ¼ö f(x)=x©÷(f(x)¡Ã0)¿¡ ´ëÇØ x=a, x=b, y=f(x)·Î µÑ·¯½ÎÀÎ ³ÐÀÌ(Á¤ÀûºÐ)´Â ´ÙÀ½°ú °°ÀÌ Á¤ÀǵȴÙ. ±¸ºÐ±¸Àû¹ýÀ» ÀÌ¿ëÇÏ¿© f(x)ÀÇ Á¤ÀûºÐ °ªÀ» °è»êÇϽÿÀ.
S(x)=ÀÎÅױ׶ö a¿¡¼ b±îÁö x©÷dx ±¸Çϴ°Űŵç¿ä?
½ÇÇà°á°ú°ªÀº
ÀûºÐ±¸°£ ½ÃÀÛÀº? 1
ÀûºÐ±¸°£ ³¡Àº? 3
n(ÀûºÐ ±¸°£ÀÇ °³¼ö)Àº? 10000
f(x)=x©÷ÀÇ [1.0 , 3.0] ±¸°£ÀÇ ÀûºÐ ±Ù»çÄ¡´Â 8.668ÀÔ´Ï´Ù.
#include <stdio.h>
int main()
{
int n;
double a, b, dx, f_x, integral, area, i ,x;
printf("ÀûºÐ ±¸°£ ½ÃÀÛÀº? ");
scanf("%lf", &a);
printf("ÀûºÐ ±¸°£ ³¡Àº? ");
scanf("%lf", &b);
printf("ÀûºÐ ±¸°£ÀÇ µîºÐ ¼ö´Â? ");
scanf("%lf", &n);
dx=(b-a)/n;
integral=0;
for (i=1;i<=n;i++)
{
x=a+(i-1)*dx;
f_x=x*x*(f_x>=0);
area=dx=f_x;
}
printf("f_x=x©÷ÀÇ [%.1lf, %.1lf] ±¸°£ÀÇ ÀûºÐ ±Ù»çÄ¡´Â %.3lfÀÔ´Ï´Ù.", a, b, integral);
return 0;
}
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