Example 6.   Let    over  .  Use cubic spline quadrature to approximate the value of the integral.  

Solution 6.

m sample points
3
5
7
9
11
13
15
17
19
21
23
25
27
29
31
33
35
37
39
41

Animation 1.  ( Natural Cubic Spline Quadrature   Natural Cubic Spline Quadrature  ).  Internet hyperlink.

(c) John H. Mathews 2004