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In this paper, we propose a numerical method for computing Hadamardfinite-part integrals with an integral-power singularity at an endpoint, thepart of the divergent integral which is finite as a limiting procedure. In theproposed method, we express the desired finite-part integral using a complexloop integral, and obtain the finite-part integral by evaluating the complexintegral by the trapezoidal rule. Theoretical error estimate and some numericalexamples show the effectiveness of the proposed method.

A numerical method for Hadamard finite-part integrals with an integral power singularity at an endpoint