Question: 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? Compute

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? 1 dx (x 11 P, () %3D - 1)" 2"n! dx"

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

1 dx (x 11 P, () %3D - 1)" 2"n! dx"

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The Legendre polynomials up to N 2 are P0x 1 P1x x P2x 3x2 12 The associate... View full answer

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