As predicted by numerous extensions of the Standard Model, leptoquarks (LQ) are hypothetical bosons allowing lepton-quark transitions. Under the assumption that they couple only to quarks and leptons of the same generation, three generations of leptoquarks can be distinguished. The search for the pair production of second generation scalar leptoquarks has been carried out in p(bar p) collisions at (radical)s = 1.96TeV, using an integrated luminosity of 1 fb(sup -1) collected by the D0 experiment at the Tevatron collider between August 2002 and February 2006. Topologies arising from the LQ(ovr LQ) (yields) (mu)q(nu)q and LQ(ovr LQ) (yields) (mu)q(mu)q decay modes have been investigated. In order to maximize the available statistics, a method for the combination of various prescaled triggers with an inclusive OR has been developed. Since no excess of data over the Standard Model prediction has been observed, upper limits on the leptoquark pair production cross section have been derived at 95% confidence level as function of the leptoquark mass and the branching fraction (beta) = Br(LQ (yields) (mu)q), and are interpreted as lower limits on the leptoquark mass as function of (beta).