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# scipy.special.roots_chebys

`scipy.special.``roots_chebys`(n, mu=False)

  Gauss-Chebyshev (second kind) quadrature.

  Computes the sample points and weights for Gauss-Chebyshev quadrature. The sample points are the roots of the n-th degree Chebyshev polynomial of the second kind, \(S_n(x)\). These sample points and weights correctly integrate polynomials of degree \(2n - 1\) or less over the interval \([-2, 2]\) with weight function \(f(x) = \sqrt{1 - (x/2)^2}\).

  Parameters: | n : int quadrature order mu : bool, optional If True, return the sum of the weights, optional.
  Returns: | x : ndarray Sample points w : ndarray Weights mu : float Sum of the weights

  See also

  `scipy.integrate.quadrature`, `scipy.integrate.fixed_quad`