Problem 1 (1) Derive a basic quadrature rule R(F) to approximate ( F(t)dt by inte- grating an interpolating polynomial p2(t) of degree 2 that interpolates the three data points generated by F(t) at the nodes -1, 0, and 1. (2) Apply the b quadrature rule R(F) to approximate ( f (x)dx using change of intervals.