- To convince yourself, choose a particular complete set of
polynomials of degree
**2n+1**.- a) Firstly, multiplied into 1,
**x**, , - For these,
**I**is zero because are at zeros of . - b) Secondly,
**Note:**Omit factor - By construction, the only term that contributes to
**I**for this polynomial is that with**r=i**and this gives formula for .

- a) Firstly, multiplied into 1,
- This is quick derivation of Gaussian Integration. Key point is that are zeroes of the orthogonal polynomial .

Geoffrey Fox, Northeast Parallel Architectures Center at Syracuse University, gcf@npac.syr.edu