N of points x i c i 2 05773502691896257 10000000000000000-05773502691896257 10000000000000000 3 07745966692414834 0. Since with the two point Gaussian Quadrature rule n2 and the integral of polynomial of order up to 2n-1 is exact using this rule we should again be able to exactly evaluate the integral. In two-point Gauss Quadrature Rule approximation Select one.
Another approach is to use two Gaussian quadrature rules of different orders and to estimate the error as the difference between the two results.
For more videos and resources on this topic please visit httpnmmathfor. Complete Derivation of Two Point Gaussian Quadrature Rule. Learn via example how to apply the Gauss quadrature formula to estimate definite integrals. Dt 2dx 2 2 I te dt x e dx f x dx x b a x b a t t x.