Question: Verify the entries for the values of n = 2 and 3 in Table 4.12 on page 232 by finding the roots of the respective

Verify the entries for the values of n = 2 and 3 in Table 4.12 on page 232 by finding the roots of the respective Legendre polynomials, and use the equations preceding this table to find the coefficients associated with the values.
In Table 4.12

Roots i 0.5773502692 1 0.7745966692 1 Coefficients cas 2 -0.5773502692 1 0.5555555556 0.8888888889 0.7745966692 0.5555555556 0.3478548451 0.6521451549 0.6521451549 0.3478548451 5 0.9061798459 0.2369268850 0.4786286705 0.5688888889 0.4786286705 -0.90617984590.2369268850 3 0.0000000000 4 0.8611363116 0.3399810436 -0.3399810436 -0.8611363116 0.5384693101 0.0000000000 -0.5384693101

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