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Table 3 Numerical results for four-point formula ( 32 )

From: On orthogonal polynomials and quadrature rules related to the second kind of beta distribution

f ( x )

Approximate value (4-point)

Exact value

Error

cos x 2

0.7563575358

0.7567616833

0.0004041475

exp(− x 2 /2)

0.7341056789

0.7341611797

0.0000555010

exp(−cosx)

0.3013485879

0.3013339743

0.0000146136

1 + x 2

0.8128655892

0.8126984127

0.0001671765