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+// example : 5.11
+// solve the definite integral by 1) trapezoidal rule, 2)simpsons rule
+// exact value of the integral is ln 2= 0.693147,
+
+deff('[y]=F(x)','y=1/(1+x)')
+
+//1)trapezoidal rule,
+
+a=0;
+b=1;
+I =trapezoidal(0,1,F)
+disp(error =.75-.693147)
+
+// simpson's rule
+
+I=simpson(a,b,F)
+
+disp(error =.694444-.693147)
+\ No newline at end of file