import java.applet.*;
import java.awt.*;


public class Example6_6 extends Applet
{
 public static double f(double x)
 {double y;
  y=Math.pow(x,10);
  return y; }

 public static double GaussChebyshev(int n)
  {double x,s;int i;
   s=0;x=Math.PI/2/n;
   for(i=1;i<=n;i++)
   {s+=Math.PI/n*f(Math.cos(x));x+=Math.PI/n;}
   return s;
}

public void paint(Graphics g)
{double y;
 int n;
 for(n=1;n<=6;n++)
 {y=GaussChebyshev(n);
  g.drawString("I"+n+"="+y,10,20*n);
 }
}}