Cant find what is wrong to fix the code. can you please fix the code.
The function is: sin^-1 (x/5)
#include <iostream>
#include <iomanip>
#include <math.h>
#include <cmath>
using namespace std;
double f(double x)
{
return pow(sin, -1)*(x / 5);
}
int main()
{
int i, n;
double a = 0.0, b =1.0, h, s = 0.0, x, xbar;
double s1, s2, s3;
cout << " Enter # of partitions n ";
cin >> n;
cout << " n = " << n << endl;
h = (b - a) / n;
for (i = 0; i < n; i++)
{
x = a + i * h;
s = s + f(x);
}
s = s * h;
cout << " Result Left End Points = " << s << endl;
s = 0.0;
for (i = 1; i <= n; i++)
{
x = a + i * h;
s = s + f(x);
}
s = s * h;
cout << " Result Right End Points = " << s << endl;
s = 0.0;
for (i = 1; i <= n; i++)
{
xbar = a + (2. * i - 1)*(h / 2.);
s = s + f(xbar);
}
s = s * h;
cout << " Result using Mid Point Rule = " << s << endl;
// Using Trpezoidal Rule
s = 0.0;
for (i = 1; i <= n - 1; i++)
{
x = a + i * h;
s = s + f(x);
}
s = (h / 2.) * (f(a) + f(b)) + h * s;
cout << " Result using Trapezoidal Rule = " << s << endl;
// Using Simpson's Rule
h = (b - a) / (2.0*n);
s1 = s2 = s3 = 0.0;
s1 = (f(a) + f(b));
for (i = 1; i < 2 * n; i = i + 2)
{
x = a + i * h;
s2 = s2 + f(x);
}
for (i = 2; i<2 * n; i = i + 2)
{
x = a + i * h;
s3 = s3 + f(x);
}
s = (h / 3.0)*(s1 + 4.0*s2 + 2.0*s3);
cout << " Result using Simpson's Rule = " << s << endl;
system("PAUSE");
return 0;
}
#include <iostream>
#include <iomanip>
#include <math.h>
#include <cmath>
using namespace std;
double f(double x)
{
return asin(x/5);
}
int main()
{
int i, n;
double a = 0.0, b =1.0, h, s = 0.0, x,
xbar;
double s1, s2, s3;
cout << " Enter # of partitions n ";
cin >> n;
cout << " n = " << n <<
endl;
h = (b - a) / n;
for (i = 0; i < n; i++)
{
x = a + i * h;
s = s + f(x);
}
s = s * h;
cout << " Result Left End Points = "
<< s << endl;
s = 0.0;
for (i = 1; i <= n; i++)
{
x = a + i * h;
s = s + f(x);
}
s = s * h;
cout << " Result Right End Points = "
<< s << endl;
s = 0.0;
for (i = 1; i <= n; i++)
{
xbar = a + (2. * i -
1)*(h / 2.);
s = s + f(xbar);
}
s = s * h;
cout << " Result using Mid Point Rule = "
<< s << endl;
// Using Trpezoidal Rule
s = 0.0;
for (i = 1; i <= n - 1; i++)
{
x = a + i * h;
s = s + f(x);
}
s = (h / 2.) * (f(a) + f(b)) + h * s;
cout << " Result using Trapezoidal Rule =
" << s << endl;
// Using Simpson's Rule
h = (b - a) / (2.0*n);
s1 = s2 = s3 = 0.0;
s1 = (f(a) + f(b));
for (i = 1; i < 2 * n; i = i + 2)
{
x = a + i * h;
s2 = s2 + f(x);
}
for (i = 2; i<2 * n; i = i + 2)
{
x = a + i * h;
s3 = s3 + f(x);
}
s = (h / 3.0)*(s1 + 4.0*s2 + 2.0*s3);
cout << " Result using Simpson's Rule = "
<< s << endl;
system("PAUSE");
return 0;
}
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