2 (Do not use computer methods to solve any part of this problem)

1. Determine the minimum number of integration points required to achieve an exact solution for the integral using Gauss quadrature? (Show your work!)

2. Evaluate the integral using Gauss quadrature at the number of integration points determined in a).

3. Evaluate the integral using Gauss quadrature at three Gauss points if this number of points is different than in part b).