(a) The Chebyshev, polynomials satisfy the differential equation (1 - x²) U(x) - 3x Un(x) + n(n + 2) Un(x) = 0. Put this equation into Sturm-Liouville form and identify the weight function, eigenvalues and appropriate boundary conditions. (b) State the possible values of the following integral L Um (x) Un(x) (1 − x²) 1/2 dr. - You must justify your answer.