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# scipy.special.roots_chebyt

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

  Gauss-Chebyshev (first 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 first kind, \(T_n(x)\). These sample points and weights correctly integrate polynomials of degree \(2n - 1\) or less over the interval \([-1, 1]\) with weight function \(f(x) = 1/\sqrt{1 - x^2}\).

  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`, `numpy.polynomial.chebyshev.chebgauss`