You want to numerically integrate a constant function by Gaussian quadrature over the interval (1,1). The following property allows you to use any…

You want to numerically integrate a constant function by Gaussian quadrature over the interval (−1,1). The following property allows you to use any order quadrature:

a) the sum of the quadrature weights is 2

b) an integration rule with nint quadrature points exactly integrates a polynomial of order 2nint−1

c) the properties in a and b

d) none of these