CODE 09(b)

//GAURAV MITTAL(2K9/EE/830)

//QUESTION 11. SIMPSONS RULE

// f(x)= 3x^2 + 4

#include

#include

#include

float z;

float f(float x)

{

z=(3*x*x)+4;

return z;

}

int main()

{

int i;

float h,value,m,a,b,n;

printf("\n\nSIMPSONS RULE");

printf("\n\nf(x)= 3x^2 + 4");

printf("\n\n\n\nEnter value of a (lower limit) : ");

scanf("%f",&a);

printf("\n\nEnter value of b (upper limit) : ");

scanf("%f",&b);

printf("\n\nEnter number of divisions 'n' : ");

scanf("%f",&n);

h=((b-a)/n);

m=a;

value=f(m);

for(i=1;i

{

m=m+h;

if((i+2)%2==1)

value=(value+(4*f(m)));

else

value=(value+(2*f(m)));

}

m=b;

value=value+f(m);

value=(value*h/3);

printf("\n\n\nThe area of the given equation within limits %f to %f is : %f",a,b,value);

getch();

return 0;

}