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were investigated by Chebyshev [1]. It will be noted in correspondence (1) that all values of / used on the right hand side are given the same weight. This is advantageous when the values of / represent experimental measurements. Salzer [2] has given tables of {x?,„} for n = 1, 2, 3, • • • , 7 and n = 9. Other values of n require values of x,,„ outside of the interval ( —1, 1). Chebyshev also investigated numerical integration formulas of the type

Numerical integration formulas for use with weight functions 𝑥² and 𝑥/√(1-𝑥²)