Tables of Kapur-Rokhlin quadrature weights:



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   2nd-order Kapur--Rokhlin correction weights for integrals of the form $\int_{0}^{1}f(x)+g(x)\log(x)\, dx$


   
INDEX \ell  &  WEIGHTS  \gamma_{\ell} + \gamma_{-\ell}  \\

      1        &  1.825748064736159e+00                    \\
      
      2        & -1.325748064736159e+00                    \\



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   6th-order Kapur--Rokhlin correction weights for integrals of the form $\int_{0}^{1}f(x)+g(x)\log(x)\, dx$



   INDEX \ell  &  WEIGHTS  \gamma_{\ell} + \gamma_{-\ell}  \\

      1        &  4.967362978287758e+00                    \\
      
      2        & -1.620501504859126e+01                    \\
        
      3        &  2.585153761832639e+01                    \\

      4        & -2.222599466791883e+01                    \\
 
      5        &  9.930104998037539e+00                    \\
      
      6        & -1.817995878141594e+00                    \\



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   10th-order Kapur--Rokhlin correction weights for integrals of the form $\int_{0}^{1}f(x)+g(x)\log(x)\, dx$



   INDEX \ell  &  WEIGHTS  \gamma_{\ell} + \gamma_{-\ell}  \\

      1        &  7.832432020568779e+00                    \\

      2        & -4.565161670374749e+01                    \\

      3        &  1.452168846354677e+02                    \\

      4        & -2.901348302886379e+02                    \\

      5        &  3.870862162579900e+02                    \\

      6        & -3.523821383570681e+02                    \\

      7        &  2.172421547519342e+02                    \\

      8        & -8.707796087382991e+01                    \\
 
      9        &  2.053584266072635e+01                    \\

      10       & -2.166984103403823e+00                    \\