#include<stdio.h>
#include<conio.h>
#define F(x) x*x+y*y
int main (void)
{
int c=0;
float i,x,y,a,b,h,m1,m2,m3,m4,Ry=0,e;
clrscr();
printf("Enter the value of x & y : ");
scanf("%f%f",&x,&y);
printf("Enter the value of h: ");
scanf("%f",&h);
printf("Enter the estimate value of x as Y(x): ");
scanf("%f",&e);
a=x;
b=y;
for(i=h;i<=e;i=i+h)
{
m1= F(x);
x=a+h/2;
y=b+(m1*h)/2;
m2= F(x);
x=a+(h/2);
y=b+(m2*h)/2;
m3= F(x);
x=a+h;
y=b+m3*h;
m4= F(x);
Ry=Ry+((m1+2*m2+2*m3+m4)*h)/6;
a=a+h;
b=b+Ry;
c++;
}
printf("\nNo of ittration: %d\n",c);
printf("Required Ans: %f",Ry);
getch();
return 0;
}
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