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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
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+//Example 8.1
+//Simpsons 1/3rd Rule
+//Page no 264
+clc;clear;close;
+a=0;b=5;n=10;h=(-a+b)/n
+
+for i=1:n
+ if i==1 then
+ x(1,i)=a
+ else
+ x(1,i)=x(i-1)+h
+ end
+ y(1,i)=1/(4*x(i)+5)
+end
+disp(y,"f(x) = ",x,"x = ")
+S=0;
+for i=1:n
+ if(i==1 | i==n)
+ S=S+y(1,i)
+ elseif(((i)/2)-fix((i)/2)==0)
+ S=S+4*y(1,i)
+ else
+ S=S+2*y(1,i)
+ end
+end
+S=S*h/3;
+printf('\n\nSimpsons 1/3rd Rule Sum = %g\n\nlog(5) = %.3g',S,log(5)) \ No newline at end of file