Summary
A quadrature rule is described for the numerical evaluation of Hadamard finite-part integrals with a double pole singularity within the range of integration. The rule is based upon the observation that such an integral is the derivative of a Cauchy principal value integral.
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Paget, D.F. The numerical evaluation of Hadamard finite-part integrals. Numer. Math. 36, 447–453 (1981). https://doi.org/10.1007/BF01395957
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DOI: https://doi.org/10.1007/BF01395957