Question

What is gaussian three point quadrature formula?

Answer 1

First, consider f(x) to be a monomial: f(x)=x^n. Then the integral from 0 to 1 of f(x)*w(x)= (3n+4)/(2*(n+1)*(n+2)). That gives us the left side of the equation. The right side, for each value of n is w1*(x1)^n+w2*(x2)^n+w3*(x3)^n.