Show that the following quadrature formula has degree of
(a) Show that the following quadrature formula has degree of precision equal to 3,
-1∫1 f(x) dx = f(-√3 / 3) + f( -√3 / 3).
(b) Approximate the following integral using Gaussian quadrature with n = 2, 3, 5,
1∫1.5 x2 ln x dx.
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