Suppose an integral of the form $\int_a^bf(x)dx$ is approximated using one of the following methods. for each method, find the largest value of n such that the approximation will be perfect for all polynomials f(x) of degree $\leq$n .
a) the trapezoid rule
b) simpson's rule
c) guass-legendre quadrature using 3 points (or nodes)