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In this paper, the design of wideband digital integrator is presented. First, the reconstruction formula of interlaced sampling method is reviewed briefly. Then, the Simpson integration rule and reconstruction formula are used to design wideband digital integrator. Because the closed-form design is obtained, the filter coefficients are easily computed. Finally, numerical examples are demonstrated to show that the proposed method has smaller design error than the conventional digital integrator that does not use the auxiliary of interlaced sampling signal.