Polynomials, orthogonal with respect to the weighting function w(x) = 1 in the interval [?1, 1], are

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Polynomials, orthogonal with respect to the weighting function w(x) = 1 in the interval [?1, 1], are called the Legendre-polynomials. They are generated by?image

Compute the Legendre-polynomials up to N = 2, as well as the associated quadrature points and weights.

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