Problem 4 (20 Points): Evaluate the following integrals numerically using the Gauss Legendre quadrature. (Hint: For using the Gauss quadrature, first write the given integrals in terms of the normalized coordinate {) K12=0 du de dz dz where aro is a constant and , are the quadratic interpolation functions 4 -- ૬) = (1-x-da) (1-2 -a) = -1) エーズ 2=4 1- -(1-2) 2b-Ta 13= a 7-7 (1-2)-((1+6) Ia

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