Prove that if n is even, then the Newton-Cotes quadrature is exact for all polynomials of degree n +1

Originally Posted by angelstt
Prove that if n is even, then the Newton-Cotes quadrature is exact for all polynomials of degree n +1
They are set up using an interpolating polynomial which is exact if the integrand is a polynomial of less than or equal to the correct degree.

CB