... 5.11.2-5.11.3.)The Chebyshev polynomialsare orthogonalin theinterval [−1, 1] over a weight(1 − x2)−1/2. In particular,1−1Ti(x)Tj(x)√1 − x2dx =0 i = jπ/2 i = j =0πi=j=0(5.8.3)The polynomial ... weighed against increased cost.The general idea of “Richardson’sdeferred approach to the limit”is particularlyattractive. For numerical integrals, that idea leads to so-called Romberg integration(for...