Exercises

1. Approximate the integral using Simpson’s Method with N=8. Judging from the result that you got, what do you think the value of this integral probably is? You can check this using Maple to get the analytical result.

   f(0)	0
   f( /8)	0.1502794
   f( /4)	0.5553608
   f(3 /8)	1.088419
   f( /2)	1.570796
   f(5 /8)	1.814033
   f(3 /4)	1.666081
   f(7 /8)	1.051956
   f( )	0