Example 6.   Let    over  .  Use Romberg integration to approximate the value of the integral.  

Solution 6.

Construct the Romberg table using   tol = 0.001

m sample points
2
3
5
9
17
33
65
129

Animation 1.  ( Romberg Integration  Romberg Integration ).  Internet hyperlink.

(c) John H. Mathews 2004