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We report on a search for gravitational waves from coalescing compactbinaries, of total mass between 2 and 35 Msun, using LIGO observations betweenNovember 14, 2006 and May 18, 2007. No gravitational-wave signals weredetected. We report upper limits on the rate of compact binary coalescence as afunction of total mass. The LIGO cumulative 90%-confidence rate upper limits ofthe binary coalescence of neutron stars, black holes and black hole-neutronstar systems are 1.4x10^-2, 7.3x10^-4 and 3.6x10^-3 yr^-1L_10^-1 respectively,where L_10 is 10^10 times the blue solar luminosity.

Search for Gravitational Waves from Low Mass Compact Binary Coalescence in 186 Days of LIGO's fifth Science Run