Chebyshev-Radau Quadrature

A Gaussian Quadrature-like Formula over the interval $[-1,1]$ which has Weighting Function $W(x)=x$. The general Formula is

$$\int_{-1}^1 xf(x)\,dx = \sum_{i=1}^n w_i[f(x_i)-f(-x_i)].$$

$n$	$x_i$	$w_i$
1	0.7745967	0.4303315
2	0.5002990	0.2393715
	0.8922365	0.2393715
3	0.4429861	0.1599145
	0.7121545	0.1599145
	0.9293066	0.1599145
4	0.3549416	0.1223363
	0.6433097	0.1223363
	0.7783202	0.1223363
	0.9481574	0.1223363

References

Beyer, W. H. CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 466, 1987.