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Calculations with a Gaussian Quadrature

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Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.

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This solution helps with a question involving Gaussian a quadrature.

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